Details

analyze568.0ms (16.5%)

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	64×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify91.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (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

11.8b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

11.5b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
4×	`cbrt-unprod_binary64_5567` `div-exp_binary64_5585` `prod-exp_binary64_5583` `cbrt-undiv_binary64_5568`
1×	`div-inv_binary64_5531` `-un-lft-identity_binary64_5534` `frac-2neg_binary64_5545` `times-frac_binary64_5540` `add-log-exp_binary64_5573` `associate-/l_binary64_5479` `associate-/r*_binary64_5478` `clear-num_binary64_5533` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569` `pow1_binary64_5595`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series31.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

31.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify73.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5076	280

prune23.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Error

0.1b

Counts

25 → 6

Compiler

Compiled 290 to 91 computations (68.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.0b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
5.7b	(*.f64 a2 (/.f64 a1 b1))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_5556`
16×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
13×	`times-frac_binary64_5540` `associate-r_binary64_5474`
12×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
5×	`div-exp_binary64_5585` `cbrt-undiv_binary64_5568`
4×	`cbrt-unprod_binary64_5567` `pow1_binary64_5595` `prod-exp_binary64_5583`
3×	`associate-l_binary64_5475` `associate-/r*_binary64_5478`
2×	`div-inv_binary64_5531` `associate-*r/_binary64_5476` `add-log-exp_binary64_5573` `unswap-sqr_binary64_5502`
1×	`associate-/l/_binary64_5481` `-commutative_binary64_5465` `frac-2neg_binary64_5545` `associate-/l_binary64_5479` `clear-num_binary64_5533` `pow-prod-down_binary64_5605`

Counts

2 → 56

Calls

2 calls:

10.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series52.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
20.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify82.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4965	668
1	4965	668

prune50.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	59	9	68

Error

0.0b

Counts

68 → 9

Compiler

Compiled 749 to 235 computations (68.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 1 (/.f64 b2 (*.f64 a2 (/.f64 a1 b1))))
5.0b	(/.f64 b2 (*.f64 a2 (/.f64 a1 b1)))
5.7b	(*.f64 a2 (/.f64 a1 b1))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_5572`
49×	`times-frac_binary64_5540`
35×	`add-sqr-sqrt_binary64_5556`
31×	`add-cbrt-cube_binary64_5570`
30×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
25×	`div-exp_binary64_5585`
13×	`associate-r_binary64_5474` `cbrt-undiv_binary64_5568`
10×	`prod-exp_binary64_5583`
9×	`associate-/r*_binary64_5478`
7×	`div-inv_binary64_5531`
6×	`associate-r/_binary64_5476` `cbrt-unprod_binary64_5567` `associate-/l_binary64_5479` `associate-/r/_binary64_5480` `pow1_binary64_5595`
4×	`rec-exp_binary64_5584` `1-exp_binary64_5578`
3×	`associate-l_binary64_5475` `add-log-exp_binary64_5573`
2×	`frac-2neg_binary64_5545` `clear-num_binary64_5533` `unswap-sqr_binary64_5502`
1×	`inv-pow_binary64_5619` `pow-flip_binary64_5608` `*-commutative_binary64_5465` `pow-prod-down_binary64_5605`

Counts

3 → 120

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 b2 (*.f64 a2 (/.f64 a1 b1))))
7.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 b2 (*.f64 a2 (/.f64 a1 b1)))

series91.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 1 (/.f64 b2 (*.f64 a2 (/.f64 a1 b1))))
33.0ms	(/.f64 b2 (*.f64 a2 (/.f64 a1 b1)))
23.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify72.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4982	1693
1	4982	1693

prune80.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	130	8	138

Error

Counts

138 → 8

Compiler

Compiled 1714 to 558 computations (67.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.9b	(/.f64 b1 (/.f64 a2 b2))

rewrite51.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_5540`
229×	`*-un-lft-identity_binary64_5534` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
57×	`associate-/r*_binary64_5478`
22×	`div-inv_binary64_5531`
16×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
9×	`div-exp_binary64_5585` `cbrt-undiv_binary64_5568`
6×	`associate-/l*_binary64_5479` `associate-/r/_binary64_5480`
2×	`frac-2neg_binary64_5545` `add-log-exp_binary64_5573` `clear-num_binary64_5533` `pow1_binary64_5595`

Counts

2 → 266

Calls

2 calls:

12.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
8.0ms	(/.f64 b1 (/.f64 a2 b2))

series54.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
23.0ms	(/.f64 b1 (/.f64 a2 b2))

simplify136.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4977	6175
1	4977	6175

prune177.0ms (5.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	274	6	280

Error

Counts

280 → 6

Compiler

Compiled 4712 to 757 computations (83.9% saved)

regimes785.0ms (22.8%)

Accuracy

Total 2.4b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2704 to 2140 computations (20.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	122
1	38	122

end0.0ms (0%)

sample924.0ms (26.8%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
49.0ms	1870×	body	128	invalid

Compiler

Compiled 440 to 317 computations (28% saved)

Details

analyze568.0ms (16.5%)

sample18.0ms (0.5%)

simplify91.0ms (2.6%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

rewrite7.0ms (0.2%)

series31.0ms (0.9%)

simplify73.0ms (2.1%)

prune23.0ms (0.7%)

localize5.0ms (0.2%)

rewrite19.0ms (0.6%)

series52.0ms (1.5%)

simplify82.0ms (2.4%)

prune50.0ms (1.4%)

localize6.0ms (0.2%)

rewrite29.0ms (0.8%)

series91.0ms (2.6%)

simplify72.0ms (2.1%)

prune80.0ms (2.3%)

localize5.0ms (0.2%)

rewrite51.0ms (1.5%)

series54.0ms (1.6%)

simplify136.0ms (3.9%)

prune177.0ms (5.1%)

regimes785.0ms (22.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample924.0ms (26.8%)

Profiling