Details

analyze488.0ms (7.3%)

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	38×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify537.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (421.0ms)

Iter	Nodes	Cost
0	5152	13

prune6.0ms (0.1%)

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

Error

9.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
9.3b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite80.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`*-un-lft-identity_binary64_20197`
9×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
8×	`add-sqr-sqrt_binary64_20219`
6×	`add-cube-cbrt_binary64_20232`
5×	`associate-r_binary64_20137`
4×	`pow1_binary64_20258` `associate-*r/_binary64_20139`
3×	`times-frac_binary64_20203` `associate-/r_binary64_20141` `associate-l*_binary64_20138`
2×	`prod-exp_binary64_20246` `div-exp_binary64_20248` `add-log-exp_binary64_20236` `cbrt-undiv_binary64_20231` `cbrt-unprod_binary64_20230` `flip3-+_binary64_20200` `associate-/l/_binary64_20144` `flip-+_binary64_20171` `distribute-lft-out_binary64_20148`
1×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `div-inv_binary64_20194` `associate-/l_binary64_20142` `pow-prod-down_binary64_20268` `unswap-sqr_binary64_20165` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146` `distribute-lft-out--_binary64_20149` `-commutative_binary64_20128`

Counts

2 → 47

Calls

2 calls:

11.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Compiler

Compiled 770 to 389 computations (49.5% saved)

series574.0ms (8.5%)

Error

1.9b

Counts

2 → 30

Calls

2 calls:

422.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
129.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 694 to 431 computations (37.9% saved)

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5150	929

prune71.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Error

0.0b

Counts

78 → 6

Compiler

Compiled 956 to 496 computations (48.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (-.f64 (+.f64 y 1) z))
1.2b	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))

rewrite220.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

162×	`times-frac_binary64_20203`
158×	`*-un-lft-identity_binary64_20197`
110×	`add-sqr-sqrt_binary64_20219`
78×	`add-cube-cbrt_binary64_20232`
32×	`distribute-lft-out--_binary64_20149`
30×	`associate-/r*_binary64_20141`
16×	`difference-of-squares_binary64_20166` `distribute-lft-out_binary64_20148`
11×	`associate-/r/_binary64_20143`
9×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
6×	`div-inv_binary64_20194` `associate-/l*_binary64_20142`
5×	`flip3--_binary64_20201` `flip--_binary64_20172`
4×	`div-exp_binary64_20248` `cbrt-undiv_binary64_20231`
2×	`pow1_binary64_20258` `add-log-exp_binary64_20236` `frac-2neg_binary64_20208` `clear-num_binary64_20196`

Counts

2 → 155

Calls

2 calls:

16.0ms	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
8.0ms	(/.f64 z (-.f64 (+.f64 y 1) z))

Compiler

Compiled 3248 to 1813 computations (44.2% saved)

series376.0ms (5.6%)

Error

0.0b

Counts

2 → 38

Calls

2 calls:

175.0ms	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
155.0ms	(/.f64 z (-.f64 (+.f64 y 1) z))

Compiler

Compiled 1702 to 1238 computations (27.3% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5503	4689

prune202.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	193	6	199

Error

Counts

199 → 6

Compiler

Compiled 3732 to 1960 computations (47.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 (+.f64 y 1) z))
0.1b	(*.f64 z (/.f64 1 (-.f64 (+.f64 y 1) z)))
1.2b	(/.f64 x (*.f64 z (/.f64 1 (-.f64 (+.f64 y 1) z))))

rewrite199.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`*-un-lft-identity_binary64_20197`
48×	`add-sqr-sqrt_binary64_20219`
41×	`times-frac_binary64_20203`
31×	`add-exp-log_binary64_20235`
27×	`add-cube-cbrt_binary64_20232`
24×	`associate-r_binary64_20137`
19×	`add-cbrt-cube_binary64_20233`
14×	`distribute-lft-out--_binary64_20149`
11×	`div-exp_binary64_20248`
8×	`prod-exp_binary64_20246`
7×	`associate-/r*_binary64_20141` `difference-of-squares_binary64_20166` `distribute-lft-out_binary64_20148`
6×	`pow1_binary64_20258` `cbrt-undiv_binary64_20231` `associate-/r/_binary64_20143` `associate-/l*_binary64_20142`
4×	`cbrt-unprod_binary64_20230`
3×	`1-exp_binary64_20241` `rec-exp_binary64_20247` `add-log-exp_binary64_20236` `div-inv_binary64_20194` `unswap-sqr_binary64_20165` `associate-l_binary64_20138`
2×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `un-div-inv_binary64_20195` `associate-*r/_binary64_20139` `flip3--_binary64_20201` `flip--_binary64_20172`
1×	`pow-prod-down_binary64_20268` `*-commutative_binary64_20128` `inv-pow_binary64_20282` `pow-flip_binary64_20271`

Counts

3 → 119

Calls

3 calls:

18.0ms	(*.f64 z (/.f64 1 (-.f64 (+.f64 y 1) z)))
16.0ms	(/.f64 1 (-.f64 (+.f64 y 1) z))
15.0ms	(/.f64 x (*.f64 z (/.f64 1 (-.f64 (+.f64 y 1) z))))

Compiler

Compiled 2309 to 1593 computations (31% saved)

series602.0ms (9%)

Error

Counts

3 → 59

Calls

3 calls:

212.0ms	(/.f64 x (*.f64 z (/.f64 1 (-.f64 (+.f64 y 1) z))))
153.0ms	(*.f64 z (/.f64 1 (-.f64 (+.f64 y 1) z)))
134.0ms	(/.f64 1 (-.f64 (+.f64 y 1) z))

Compiler

Compiled 3009 to 2262 computations (24.8% saved)

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4964	3369
1	4964	3369

prune179.0ms (2.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	178	6	184

Error

Counts

184 → 6

Compiler

Compiled 3223 to 2015 computations (37.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 y 1) z) z)
1.6b	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))

rewrite138.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`*-un-lft-identity_binary64_20197`
43×	`add-sqr-sqrt_binary64_20219`
37×	`times-frac_binary64_20203`
24×	`add-cube-cbrt_binary64_20232`
22×	`associate-r_binary64_20137`
14×	`distribute-lft-out--_binary64_20149`
9×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
7×	`difference-of-squares_binary64_20166` `distribute-lft-out_binary64_20148`
6×	`associate-/l*_binary64_20142`
4×	`pow1_binary64_20258`
3×	`associate-l_binary64_20138` `associate-/r*_binary64_20141`
2×	`div-exp_binary64_20248` `prod-exp_binary64_20246` `add-log-exp_binary64_20236` `cbrt-unprod_binary64_20230` `cbrt-undiv_binary64_20231` `unswap-sqr_binary64_20165` `div-inv_binary64_20194` `associate-/l/_binary64_20144`
1×	`pow-prod-down_binary64_20268` `associate-r/_binary64_20139` `-commutative_binary64_20128` `frac-2neg_binary64_20208` `div-sub_binary64_20202` `clear-num_binary64_20196` `flip3--_binary64_20201` `flip--_binary64_20172`

Counts

2 → 83

Calls

2 calls:

22.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
9.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 1496 to 878 computations (41.3% saved)

series322.0ms (4.8%)

Error

Counts

2 → 27

Calls

2 calls:

194.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
112.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 597 to 417 computations (30.2% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5174	1620

prune100.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	110	6	116

Error

Counts

116 → 6

Compiler

Compiled 1561 to 908 computations (41.8% saved)

regimes499.0ms (7.4%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Compiler

Compiled 2998 to 2345 computations (21.8% saved)

bsearch45.0ms (0.7%)

Steps

Iters	Range		Point
8	2.388600759441442e-60	5.297437299329834e-57	5.186717654845177e-57
9	-1.1996357953589337e-42	-5.977978618281954e-50	-3.429579611887415e-48

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	62	54
1	62	54

end0.0ms (0%)

sample1.7s (24.7%)

Algorithm

1×

intervals

Results

326.0ms	8000×	body	128	valid
41.0ms	1101×	body	128	invalid

Compiler

Compiled 800 to 620 computations (22.5% saved)

Details

analyze488.0ms (7.3%)

sample25.0ms (0.4%)

simplify537.0ms (8%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite80.0ms (1.2%)

series574.0ms (8.5%)

simplify68.0ms (1%)

prune71.0ms (1.1%)

localize6.0ms (0.1%)

rewrite220.0ms (3.3%)

series376.0ms (5.6%)

simplify89.0ms (1.3%)

prune202.0ms (3%)

localize7.0ms (0.1%)

rewrite199.0ms (3%)

series602.0ms (9%)

simplify128.0ms (1.9%)

prune179.0ms (2.7%)

localize9.0ms (0.1%)

rewrite138.0ms (2.1%)

series322.0ms (4.8%)

simplify71.0ms (1.1%)

prune100.0ms (1.5%)

regimes499.0ms (7.4%)

bsearch45.0ms (0.7%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.7s (24.7%)

Profiling