Details

analyze44.0ms (3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

sample14.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	4×	body	80	nan
0.0ms	1×	body	80	invalid

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	225	8
1	225	8

prune9.0ms (0.6%)

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: 0.1b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 y (sqrt.f64 x))

rewrite6.0ms (0.4%)

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 y (sqrt.f64 x))

series9.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 y (sqrt.f64 x))

simplify49.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5051	174

prune44.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite23.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

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

series48.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt.f64 (sqrt.f64 x))
12.0ms	(sqrt.f64 (sqrt.f64 x))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify44.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5047	630

prune107.0ms (7.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize14.0ms (1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
0.4b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite27.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

14.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series111.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
28.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
20.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

simplify40.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4938	955
1	4938	955

prune100.0ms (7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
0.3b	(.f64 (cbrt.f64 x) (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite16.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `associate-l_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 65

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 x) (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))))
5.0ms	(*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series83.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 (cbrt.f64 x) (.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x)))))
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
11.0ms	(*.f64 y (sqrt.f64 (fabs.f64 (cbrt.f64 x))))

simplify32.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5486	531

prune71.0ms (5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	77	7	84

Merged error: 0b

Counts

84 → 7

regimes138.0ms (9.7%)

Accuracy

Total 0.1b remaining (80.7%)

Threshold costs 0.1b (80.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms (0%)

sample367.0ms (25.7%)

Algorithm

1×

intervals

Results

233.0ms	7998×	body	80	valid
4.0ms	147×	body	80	nan
2.0ms	70×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze44.0ms (3%)

sample14.0ms (1%)

simplify11.0ms (0.7%)

prune9.0ms (0.6%)

localize6.0ms (0.4%)

rewrite6.0ms (0.4%)

series9.0ms (0.6%)

simplify49.0ms (3.4%)

prune44.0ms (3.1%)

localize8.0ms (0.5%)

rewrite23.0ms (1.6%)

series48.0ms (3.4%)

simplify44.0ms (3.1%)

prune107.0ms (7.5%)

localize14.0ms (1%)

rewrite27.0ms (1.9%)

series111.0ms (7.8%)

simplify40.0ms (2.8%)

prune100.0ms (7%)

localize9.0ms (0.6%)

rewrite16.0ms (1.1%)

series83.0ms (5.8%)

simplify32.0ms (2.2%)

prune71.0ms (5%)

regimes138.0ms (9.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample367.0ms (25.7%)

Profiling