Details

analyze301.0ms (15.9%)

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify17.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune6.0ms (0.3%)

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

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1.0 x) z))
0.0b	(*.f64 (-.f64 1.0 x) z)

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1.0 x) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1.0 x) z))

series19.0ms (1%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1.0 x) z))
6.0ms	(*.f64 (-.f64 1.0 x) z)

simplify48.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5197	345

prune54.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z)))
0.0b	(*.f64 (-.f64 1.0 x) (sqrt.f64 z))
0.3b	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z))

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
6×	`associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 60

Calls

3 calls:

10.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z))
8.0ms	(*.f64 (-.f64 1.0 x) (sqrt.f64 z))
5.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z)))

series28.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z)))
7.0ms	(*.f64 (-.f64 1.0 x) (sqrt.f64 z))
7.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z))

simplify50.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4961	619
1	4961	619

prune80.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 z))

rewrite36.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`sqrt-prod_binary64`
22×	`pow1_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`sqrt-pow1_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `rem-sqrt-square_binary64`
2×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

16.0ms	(.f64 (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 z))
13.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series43.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt.f64 (sqrt.f64 z))
13.0ms	(sqrt.f64 (sqrt.f64 z))
8.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(.f64 (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 z))

simplify48.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4966	683
1	4966	683

prune110.0ms (5.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) z)
0.0b	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
0.0b	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (*.f64 x y))))

rewrite46.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
23×	`pow1_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `sqrt-div_binary64`
11×	`associate-l_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`associate-r_binary64`
8×	`flip3-+_binary64` `swap-sqr_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
5×	`pow-prod-up_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`pow-sqr_binary64`
2×	`cbrt-unprod_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow2_binary64`

Counts

4 → 109

Calls

4 calls:

19.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (*.f64 x y))))
7.0ms	(*.f64 (-.f64 1.0 x) z)
7.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
7.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))

series78.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
31.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
10.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (*.f64 x y))))
6.0ms	(*.f64 (-.f64 1.0 x) z)

simplify40.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5380	1595

prune164.0ms (8.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0.0b

Counts

124 → 3

regimes185.0ms (9.8%)

Accuracy

Total 0.0b remaining (19.4%)

Threshold costs 0.0b (19.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample447.0ms (23.7%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	80	valid
20.0ms	676×	body	80	invalid

Details

analyze301.0ms (15.9%)

sample17.0ms (0.9%)

simplify17.0ms (0.9%)

prune6.0ms (0.3%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series19.0ms (1%)

simplify48.0ms (2.5%)

prune54.0ms (2.9%)

localize8.0ms (0.4%)

rewrite25.0ms (1.3%)

series28.0ms (1.5%)

simplify50.0ms (2.6%)

prune80.0ms (4.2%)

localize10.0ms (0.5%)

rewrite36.0ms (1.9%)

series43.0ms (2.3%)

simplify48.0ms (2.6%)

prune110.0ms (5.8%)

localize8.0ms (0.4%)

rewrite46.0ms (2.4%)

series78.0ms (4.1%)

simplify40.0ms (2.1%)

prune164.0ms (8.7%)

regimes185.0ms (9.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample447.0ms (23.7%)

Profiling