Details

analyze684.0ms (19.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	94×	body	80	invalid

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	720	13
1	720	13

prune7.0ms (0.2%)

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: 5.1b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t)))
4.8b	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`sub-neg_binary64` `add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`associate--r+_binary64` `diff-log_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

10.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
8.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t)))
5.0ms	(-.f64 (*.f64 z z) t)

series47.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t)))
17.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
4.0ms	(-.f64 (*.f64 z z) t)

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	631
1	4982	631

prune87.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 2.5b

Counts

58 → 7

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (.f64 y 4.0) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
12×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
10×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `difference-of-squares_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

17.0ms	(.f64 (.f64 y 4.0) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

series93.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 (.f64 y 4.0) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
20.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
18.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
18.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4878	952
1	4878	952

prune114.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 2.5b

Counts

91 → 8

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.5b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
1.5b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
4.8b	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
4.8b	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

10.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
5.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
4.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))

series123.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
44.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
16.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
16.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5084	1108

prune123.0ms (3.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	88	8	96

Merged error: 2.5b

Counts

96 → 8

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
4.7b	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.7b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
10×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

18.0ms	(.f64 (.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
11.0ms	(.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

series53.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (*.f64 z z) t)))
17.0ms	(.f64 (.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
10.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
7.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5291	1122

prune103.0ms (2.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	101	8	109

Merged error: 2.5b

Counts

109 → 8

regimes963.0ms (27%)

Accuracy

Total 0.7b remaining (21.2%)

Threshold costs 0.7b (21.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	333	36
1	333	36

end0.0ms (0%)

sample735.0ms (20.6%)

Algorithm

1×

intervals

Results

325.0ms	8000×	body	80	valid
121.0ms	2996×	body	80	invalid

Details

analyze684.0ms (19.2%)

sample26.0ms (0.7%)

simplify37.0ms (1%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

rewrite24.0ms (0.7%)

series47.0ms (1.3%)

simplify49.0ms (1.4%)

prune87.0ms (2.4%)

localize13.0ms (0.4%)

rewrite34.0ms (0.9%)

series93.0ms (2.6%)

simplify64.0ms (1.8%)

prune114.0ms (3.2%)

localize11.0ms (0.3%)

rewrite30.0ms (0.9%)

series123.0ms (3.4%)

simplify33.0ms (0.9%)

prune123.0ms (3.4%)

localize11.0ms (0.3%)

rewrite42.0ms (1.2%)

series53.0ms (1.5%)

simplify51.0ms (1.4%)

prune103.0ms (2.9%)

regimes963.0ms (27%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample735.0ms (20.6%)

Profiling