Details

analyze863.0ms (24.2%)

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample28.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
4.0ms	89×	body	80	invalid

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5100	13

prune10.0ms (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 → 2

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
5×	`associate-l_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 74

Calls

2 calls:

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

series20.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))
6.0ms	(/.f64 (+.f64 x z) y)

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5698	789

prune102.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	75	7	82

Merged error: 0b

Counts

82 → 7

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 x z))
0.2b	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
0.5b	(/.f64 1 (/.f64 y (+.f64 x z)))

rewrite66.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64`
161×	`*-un-lft-identity_binary64`
123×	`add-sqr-sqrt_binary64`
107×	`add-cube-cbrt_binary64`
59×	`associate-r_binary64`
35×	`add-exp-log_binary64`
25×	`distribute-lft-out_binary64`
22×	`associate-/r*_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`associate-l_binary64` `unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 223

Calls

3 calls:

36.0ms	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
10.0ms	(/.f64 y (+.f64 x z))
8.0ms	(/.f64 1 (/.f64 y (+.f64 x z)))

series33.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
8.0ms	(/.f64 y (+.f64 x z))
8.0ms	(/.f64 1 (/.f64 y (+.f64 x z)))

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6075	2558

prune248.0ms (7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	234	5	239

Merged error: 0b

Counts

239 → 5

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (+.f64 x z))
0.2b	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

174×	`times-frac_binary64`
160×	`*-un-lft-identity_binary64`
116×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64` `distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-inv_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `flip--_binary64`

Counts

2 → 164

Calls

2 calls:

11.0ms	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))
5.0ms	(/.f64 y (+.f64 x z))

series22.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))
8.0ms	(/.f64 y (+.f64 x z))

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5470	2619

prune164.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	171	4	175

Merged error: 0b

Counts

175 → 4

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x z) y)
0.0b	(/.f64 1 (+.f64 x z))
0.3b	(/.f64 (/.f64 (-.f64 x z) y) (/.f64 1 (+.f64 x z)))

rewrite68.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

894×	`times-frac_binary64`
603×	`*-un-lft-identity_binary64`
475×	`add-sqr-sqrt_binary64`
353×	`add-cube-cbrt_binary64`
64×	`distribute-lft-out_binary64`
61×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
43×	`associate-/r/_binary64`
42×	`div-inv_binary64`
31×	`add-exp-log_binary64`
27×	`associate-/l*_binary64`
25×	`associate-/r*_binary64`
21×	`flip3-+_binary64` `flip-+_binary64`
19×	`add-cbrt-cube_binary64` `div-exp_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

3 → 479

Calls

3 calls:

18.0ms	(/.f64 (/.f64 (-.f64 x z) y) (/.f64 1 (+.f64 x z)))
6.0ms	(/.f64 (-.f64 x z) y)
5.0ms	(/.f64 1 (+.f64 x z))

series26.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(/.f64 (/.f64 (-.f64 x z) y) (/.f64 1 (+.f64 x z)))
7.0ms	(/.f64 (-.f64 x z) y)
5.0ms	(/.f64 1 (+.f64 x z))

simplify100.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5585	9558

prune544.0ms (15.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	488	0	488
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	488	4	492

Merged error: 0b

Counts

492 → 4

regimes236.0ms (6.6%)

Accuracy

Total 0.1b remaining (58.6%)

Threshold costs 0.1b (58.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms (0%)

sample713.0ms (20%)

Algorithm

1×

intervals

Results

354.0ms	8000×	body	80	valid
123.0ms	2812×	body	80	invalid

Details

analyze863.0ms (24.2%)

sample28.0ms (0.8%)

simplify73.0ms (2%)

prune10.0ms (0.3%)

localize9.0ms (0.2%)

rewrite21.0ms (0.6%)

series20.0ms (0.5%)

simplify57.0ms (1.6%)

prune102.0ms (2.9%)

localize10.0ms (0.3%)

rewrite66.0ms (1.8%)

series33.0ms (0.9%)

simplify54.0ms (1.5%)

prune248.0ms (7%)

localize9.0ms (0.2%)

rewrite25.0ms (0.7%)

series22.0ms (0.6%)

simplify58.0ms (1.6%)

prune164.0ms (4.6%)

localize10.0ms (0.3%)

rewrite68.0ms (1.9%)

series26.0ms (0.7%)

simplify100.0ms (2.8%)

prune544.0ms (15.2%)

regimes236.0ms (6.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample713.0ms (20%)

Profiling