Details

analyze5.0s (13.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

sample750.0ms (2%)

Algorithm

1×

intervals

Results

475.0ms	2063×	body	80	invalid
63.0ms	256×	body	80	valid

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5427	95

prune20.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 27.8b

Counts

2 → 1

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.3b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.3b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.4b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite45.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

series278.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
69.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
68.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
68.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5010	2796

prune449.0ms (1.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	103	21	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	21	125

Merged error: 19.6b

Counts

125 → 21

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.8b	(cbrt.f64 (-.f64 (.f64 y2 x) (.f64 y3 z)))
8.3b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.4b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite42.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`flip3--_binary64` `flip--_binary64`
17×	`add-sqr-sqrt_binary64`
12×	`frac-times_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
6×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 97

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y2 x) (.f64 y3 z)))

series251.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
69.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
67.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
47.0ms	(cbrt.f64 (-.f64 (.f64 y2 x) (.f64 y3 z)))

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5191	2327

prune345.0ms (0.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	110	20	130

Merged error: 19.6b

Counts

130 → 20

localize69.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.4b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.4b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.4b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite46.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series276.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
70.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
68.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
67.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5121	2768

prune349.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	124	20	144

Merged error: 19.6b

Counts

144 → 20

localize71.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.7b	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.7b	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.7b	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.4b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite50.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

16.0ms	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.0ms	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.0ms	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

series281.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
71.0ms	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
70.0ms	(.f64 (-.f64 (.f64 y2 k) (.f64 y3 j)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
67.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5121	2768

prune158.0ms (0.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	123	21	144

Merged error: 19.5b

Counts

144 → 21

regimes5.7s (15%)

Accuracy

Total 9.6b remaining (32.7%)

Threshold costs 0b (0%)

bsearch721.0ms (1.9%)

Steps

Iters	Range		Point
9	-1.1635277804602954e-228	-3.8702044037593605e-235	-1.1496577283079256e-228
8	-3.2288852916581796e-57	-7.79363043041316e-60	-4.236432096543654e-59

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	1513	331
1	1513	331

end0.0ms (0%)

sample22.5s (59.6%)

Algorithm

1×

intervals

Results

14.8s	65009×	body	80	invalid
1.8s	8000×	body	80	valid

Details

analyze5.0s (13.2%)

sample750.0ms (2%)

simplify36.0ms (0.1%)

prune20.0ms (0.1%)

localize68.0ms (0.2%)

rewrite45.0ms (0.1%)

series278.0ms (0.7%)

simplify50.0ms (0.1%)

prune449.0ms (1.2%)

localize78.0ms (0.2%)

rewrite42.0ms (0.1%)

series251.0ms (0.7%)

simplify44.0ms (0.1%)

prune345.0ms (0.9%)

localize69.0ms (0.2%)

rewrite46.0ms (0.1%)

series276.0ms (0.7%)

simplify51.0ms (0.1%)

prune349.0ms (0.9%)

localize71.0ms (0.2%)

rewrite50.0ms (0.1%)

series281.0ms (0.7%)

simplify51.0ms (0.1%)

prune158.0ms (0.4%)

regimes5.7s (15%)

bsearch721.0ms (1.9%)

simplify37.0ms (0.1%)

end0.0ms (0%)

sample22.5s (59.6%)

Profiling