Details

analyze3.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample22.0ms (2.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

valid

simplify11.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	69	5
1	69	5

prune9.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize8.0ms (0.9%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite3.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
2×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `pow1/2_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

1 → 13

Calls

1 calls:

3.0ms

(sqrt.f64 (fabs.f64 (-.f64 x y)))

series12.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify127.0ms (14.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4784	96
1	4784	96

prune24.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize7.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.5b	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
20.3b	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))

rewrite10.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
15×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `pow-pow_binary64`
2×	`pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-sqrt-square_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 72

Calls

3 calls:

3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
3.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

series30.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
10.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
5.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))

simplify66.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5621	607

prune79.0ms (9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0.0b

Counts

83 → 2

regimes172.0ms (19.5%)

Accuracy

Total 0.0b remaining (22.4%)

Threshold costs 0.0b (22.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

end0.0ms (0%)

sample295.0ms (33.5%)

Algorithm

1×

intervals

Results

178.0ms

8000×

body

valid

Details

analyze3.0ms (0.4%)

sample22.0ms (2.5%)

simplify11.0ms (1.3%)

prune9.0ms (1.1%)

localize8.0ms (0.9%)

rewrite3.0ms (0.4%)

series12.0ms (1.4%)

simplify127.0ms (14.4%)

prune24.0ms (2.7%)

localize7.0ms (0.8%)

rewrite10.0ms (1.1%)

series30.0ms (3.5%)

simplify66.0ms (7.4%)

prune79.0ms (9%)

regimes172.0ms (19.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample295.0ms (33.5%)

Profiling