Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	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%	14

sample23.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms	57×	body	1280	valid
4.0ms	38×	body	640	valid
4.0ms	136×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	12×	body	160	valid

simplify98.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	1001	13
1	1001	13

prune4.0ms (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: 28.2b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1.0))
0.0b	(/.f64 (+.f64 x 1.0) (-.f64 x 1.0))
3.1b	(-.f64 (/.f64 x (+.f64 x 1.0)) (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)))

rewrite51.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
45×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
18×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
9×	`associate-/r*_binary64` `difference-of-squares_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 103

Calls

3 calls:

33.0ms	(-.f64 (/.f64 x (+.f64 x 1.0)) (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)))
8.0ms	(/.f64 (+.f64 x 1.0) (-.f64 x 1.0))
5.0ms	(/.f64 x (+.f64 x 1.0))

series16.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 (/.f64 x (+.f64 x 1.0)) (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)))
3.0ms	(/.f64 (+.f64 x 1.0) (-.f64 x 1.0))
3.0ms	(/.f64 x (+.f64 x 1.0))

simplify59.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4955	1404
1	4955	1404

prune185.0ms (8.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	4	113

Merged error: 0.1b

Counts

113 → 4

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1.0))
0.0b	(/.f64 x (+.f64 x 1.0))
0.1b	(*.f64 (+.f64 x 1.0) (/.f64 1 (-.f64 x 1.0)))
5.5b	(-.f64 (/.f64 x (+.f64 x 1.0)) (*.f64 (+.f64 x 1.0) (/.f64 1 (-.f64 x 1.0))))

rewrite43.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
44×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
7×	`pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `frac-sub_binary64`
5×	`flip3-+_binary64` `distribute-lft-out_binary64` `div-exp_binary64` `flip-+_binary64`
4×	`associate-l_binary64` `prod-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `un-div-inv_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

13.0ms	(*.f64 (+.f64 x 1.0) (/.f64 1 (-.f64 x 1.0)))
11.0ms	(-.f64 (/.f64 x (+.f64 x 1.0)) (*.f64 (+.f64 x 1.0) (/.f64 1 (-.f64 x 1.0))))
7.0ms	(/.f64 x (+.f64 x 1.0))
6.0ms	(/.f64 1 (-.f64 x 1.0))

series19.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 (/.f64 x (+.f64 x 1.0)) (*.f64 (+.f64 x 1.0) (/.f64 1 (-.f64 x 1.0))))
3.0ms	(*.f64 (+.f64 x 1.0) (/.f64 1 (-.f64 x 1.0)))
3.0ms	(/.f64 x (+.f64 x 1.0))
3.0ms	(/.f64 1 (-.f64 x 1.0))

simplify49.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5312	1602

prune195.0ms (9.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x 1.0) (-.f64 x 1.0))
0.1b	(.f64 (/.f64 x (.f64 (+.f64 x 1.0) (-.f64 x 1.0))) (-.f64 x 1.0))
5.5b	(-.f64 (.f64 (/.f64 x (.f64 (+.f64 x 1.0) (-.f64 x 1.0))) (-.f64 x 1.0)) (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)))
16.2b	(/.f64 x (*.f64 (+.f64 x 1.0) (-.f64 x 1.0)))

rewrite65.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64`
34×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64`
8×	`associate-*r/_binary64`
7×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`
5×	`sub-neg_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-sub_binary64`
3×	`div-inv_binary64`
2×	`associate-/l/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 135

Calls

4 calls:

22.0ms	(-.f64 (.f64 (/.f64 x (.f64 (+.f64 x 1.0) (-.f64 x 1.0))) (-.f64 x 1.0)) (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)))
21.0ms	(.f64 (/.f64 x (.f64 (+.f64 x 1.0) (-.f64 x 1.0))) (-.f64 x 1.0))
9.0ms	(/.f64 x (*.f64 (+.f64 x 1.0) (-.f64 x 1.0)))
8.0ms	(/.f64 (+.f64 x 1.0) (-.f64 x 1.0))

series24.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 (.f64 (/.f64 x (.f64 (+.f64 x 1.0) (-.f64 x 1.0))) (-.f64 x 1.0)) (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)))
8.0ms	(/.f64 x (*.f64 (+.f64 x 1.0) (-.f64 x 1.0)))
4.0ms	(.f64 (/.f64 x (.f64 (+.f64 x 1.0) (-.f64 x 1.0))) (-.f64 x 1.0))
3.0ms	(/.f64 (+.f64 x 1.0) (-.f64 x 1.0))

simplify88.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4975	1919
1	4975	1919

prune258.0ms (12.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	147	5	152

Merged error: 0.0b

Counts

152 → 5

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1.0 (.f64 x (+.f64 (.f64 x 1.0) 3.0)))
0.0b	(.f64 x (+.f64 (.f64 x 1.0) 3.0))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

9.0ms	(.f64 x (+.f64 (.f64 x 1.0) 3.0))
4.0ms	(+.f64 1.0 (.f64 x (+.f64 (.f64 x 1.0) 3.0)))

series13.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 x (+.f64 (.f64 x 1.0) 3.0))
4.0ms	(+.f64 1.0 (.f64 x (+.f64 (.f64 x 1.0) 3.0)))

simplify52.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4999	411
1	4999	411

prune45.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

regimes42.0ms (2%)

Accuracy

Total 0.0b remaining (32.4%)

Threshold costs 0.0b (32.4%)

bsearch24.0ms (1.1%)

Steps

Iters	Range		Point
8	783.9248997700159	333434.52581577527	14038.924336122142
10	-1150091520452.1025	-0.024287732823846688	-12666.995240131017

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	114	46
1	114	46

end0.0ms (0%)

sample671.0ms (32.4%)

Algorithm

1×

intervals

Results

240.0ms	1665×	body	1280	valid
137.0ms	1201×	body	640	valid
130.0ms	4231×	body	80	valid
52.0ms	595×	body	320	valid
18.0ms	308×	body	160	valid

Details

analyze4.0ms (0.2%)

sample23.0ms (1.1%)

simplify98.0ms (4.7%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite51.0ms (2.4%)

series16.0ms (0.8%)

simplify59.0ms (2.8%)

prune185.0ms (8.9%)

localize8.0ms (0.4%)

rewrite43.0ms (2.1%)

series19.0ms (0.9%)

simplify49.0ms (2.4%)

prune195.0ms (9.4%)

localize8.0ms (0.4%)

rewrite65.0ms (3.1%)

series24.0ms (1.2%)

simplify88.0ms (4.3%)

prune258.0ms (12.4%)

localize5.0ms (0.3%)

rewrite13.0ms (0.6%)

series13.0ms (0.6%)

simplify52.0ms (2.5%)

prune45.0ms (2.2%)

regimes42.0ms (2%)

bsearch24.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample671.0ms (32.4%)

Profiling