Details

analyze13.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
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

sample21.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

valid

simplify531.0ms (20.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4811	6
1	4811	6

prune8.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 31.8b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (pow.f64 x 2.0) 2)
30.7b	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64` `associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

16.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))
5.0ms	(*.f64 (pow.f64 x 2.0) 2)

series134.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

71.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))
63.0ms	(*.f64 (pow.f64 x 2.0) 2)

simplify70.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4935	288
1	4935	288

prune65.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 12.0b

Counts

42 → 5

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 1.0) 1.0))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
11×	`associate-r_binary64`
10×	`unswap-sqr_binary64`
9×	`add-exp-log_binary64`
8×	`sqrt-prod_binary64`
6×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqr-pow_binary64` `associate-l*_binary64`
5×	`prod-exp_binary64`
4×	`pow-exp_binary64`
3×	`add-cbrt-cube_binary64`
2×	`pow-to-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

1 → 41

Calls

1 calls:

9.0ms

(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 1.0) 1.0))

series61.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

61.0ms

(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 1.0) 1.0))

simplify40.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4969	508
1	4969	508

prune80.0ms (3.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	37	12	49

Merged error: 11.8b

Counts

49 → 12

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2))))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64`
33×	`prod-exp_binary64`
32×	`add-sqr-sqrt_binary64`
22×	`unpow-prod-down_binary64`
16×	`cbrt-prod_binary64`
15×	`unswap-sqr_binary64`
12×	`associate-l_binary64` `pow-exp_binary64`
10×	`associate-r_binary64`
9×	`cbrt-unprod_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqr-pow_binary64` `sqrt-prod_binary64`
7×	`pow1_binary64`
6×	`pow-to-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 77

Calls

2 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2))))
9.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2)))

series145.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

82.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2)))
64.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2))))

simplify52.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5473	988

prune140.0ms (5.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	4	5	9
Picked	0	1	1
Done	0	2	2
Total	84	11	95

Merged error: 11.8b

Counts

95 → 11

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0))
0.3b	(.f64 (.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0)) (cbrt.f64 (sqrt.f64 2)))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
42×	`unpow-prod-down_binary64`
38×	`add-sqr-sqrt_binary64`
34×	`pow-exp_binary64`
22×	`pow-to-exp_binary64`
20×	`associate-r_binary64` `unswap-sqr_binary64`
16×	`sqr-pow_binary64`
11×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `sqrt-prod_binary64`
7×	`add-cbrt-cube_binary64`
6×	`cbrt-prod_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64`

Counts

2 → 102

Calls

2 calls:

11.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0)) (cbrt.f64 (sqrt.f64 2)))
10.0ms	(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0))

series152.0ms (6%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0))
63.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0)) (cbrt.f64 (sqrt.f64 2)))

simplify66.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4921	1374
1	4921	1374

prune150.0ms (5.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	106	13	119

Merged error: 11.8b

Counts

119 → 13

regimes149.0ms (5.9%)

Accuracy

Total 0.2b remaining (1.6%)

Threshold costs 0.2b (1.6%)

bsearch19.0ms (0.8%)

Steps

Iters	Range		Point
11	-5.334644425987182e-292	6.177800158714282e-304	3.8265285002463e-311

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	20	27

end0.0ms (0%)

sample516.0ms (20.3%)

Algorithm

1×

intervals

Results

412.0ms

8000×

body

valid

Details

analyze13.0ms (0.5%)

sample21.0ms (0.8%)

simplify531.0ms (20.9%)

prune8.0ms (0.3%)

localize6.0ms (0.3%)

rewrite23.0ms (0.9%)

series134.0ms (5.3%)

simplify70.0ms (2.8%)

prune65.0ms (2.6%)

localize8.0ms (0.3%)

rewrite10.0ms (0.4%)

series61.0ms (2.4%)

simplify40.0ms (1.6%)

prune80.0ms (3.2%)

localize9.0ms (0.4%)

rewrite26.0ms (1%)

series145.0ms (5.7%)

simplify52.0ms (2.1%)

prune140.0ms (5.5%)

localize13.0ms (0.5%)

rewrite26.0ms (1%)

series152.0ms (6%)

simplify66.0ms (2.6%)

prune150.0ms (5.9%)

regimes149.0ms (5.9%)

bsearch19.0ms (0.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample516.0ms (20.3%)

Profiling