Details

analyze591.0ms (14.7%)

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample52.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	44×	body	1024	valid
9.0ms	157×	body	128	valid
6.0ms	27×	body	512	valid
3.0ms	24×	body	256	valid
3.0ms	12×	body	512	invalid
2.0ms	4×	body	2048	valid
1.0ms	4×	body	1024	invalid
0.0ms	3×	body	256	invalid
0.0ms	5×	body	128	invalid
0.0ms	6×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify166.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4944	13
1	4944	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 10.9b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
6.6b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_14400`
24×	`times-frac_binary64_14406`
20×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422`
18×	`unpow-prod-down_binary64_14479`
7×	`add-exp-log_binary64_14438` `distribute-lft-out_binary64_14351`
4×	`associate-/r*_binary64_14344` `associate-/r/_binary64_14346` `add-cbrt-cube_binary64_14436`
3×	`pow1_binary64_14461` `pow-unpow_binary64_14477` `associate-/l*_binary64_14345`
2×	`flip3-+_binary64_14403` `div-exp_binary64_14451` `div-inv_binary64_14397` `add-log-exp_binary64_14439` `flip-+_binary64_14374` `pow-exp_binary64_14468`
1×	`frac-2neg_binary64_14411` `cbrt-undiv_binary64_14434` `clear-num_binary64_14399` `pow-to-exp_binary64_14469` `pow-pow_binary64_14472` `sqr-pow_binary64_14372`

Counts

2 → 66

Calls

2 calls:

7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
5.0ms	(/.f64 x (+.f64 x y))

series132.0ms (3.3%)

Counts

2 → 23

Calls

2 calls:

77.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
55.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 480 to 370 computations (22.9% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5011	1317

prune74.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	2	90

Merged error: 0.0b

Counts

90 → 2

Compiler

Compiled 1304 to 370 computations (71.6% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 5 to 5 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400` `times-frac_binary64_14406`
3×	`associate-/r_binary64_14344` `associate-/l_binary64_14345` `add-cbrt-cube_binary64_14436`
2×	`associate-/l/_binary64_14347` `add-exp-log_binary64_14438`
1×	`frac-2neg_binary64_14411` `cbrt-undiv_binary64_14434` `clear-num_binary64_14399` `neg-sub0_binary64_14395` `div-exp_binary64_14451` `exp-neg_binary64_14447` `div-inv_binary64_14397` `add-log-exp_binary64_14439` `pow1_binary64_14461` `exp-diff_binary64_14448`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series109.0ms (2.7%)

Counts

1 → 9

Calls

1 calls:

109.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 108 to 100 computations (7.4% saved)

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5146	501

prune23.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	3	40

Merged error: 0b

Counts

40 → 3

Compiler

Compiled 383 to 121 computations (68.4% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (exp.f64 y))
0.0b	(/.f64 1 (*.f64 x (exp.f64 y)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64_14438`
9×	`add-cbrt-cube_binary64_14436`
8×	`add-sqr-sqrt_binary64_14422`
7×	`pow1_binary64_14461`
6×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
4×	`prod-exp_binary64_14449` `div-exp_binary64_14451`
3×	`associate-l_binary64_14341` `times-frac_binary64_14406` `associate-r_binary64_14340` `associate-/l*_binary64_14345`
2×	`1-exp_binary64_14444` `cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `cbrt-undiv_binary64_14434` `rec-exp_binary64_14450` `pow-flip_binary64_14474` `add-log-exp_binary64_14439`
1×	`associate-/r_binary64_14344` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `-commutative_binary64_14331` `unswap-sqr_binary64_14368` `inv-pow_binary64_14485`

Counts

2 → 46

Calls

2 calls:

6.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
5.0ms	(*.f64 x (exp.f64 y))

series183.0ms (4.6%)

Counts

2 → 18

Calls

2 calls:

106.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
77.0ms	(*.f64 x (exp.f64 y))

Compiler

Compiled 232 to 216 computations (6.9% saved)

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5479	577

prune32.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	3	67

Merged error: 0b

Counts

67 → 3

Compiler

Compiled 542 to 240 computations (55.7% saved)

regimes229.0ms (5.7%)

Compiler: Compiled 1241 to 714 computations (42.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	168
1	52	168

end0.0ms (0%)

sample2.2s (53.7%)

Algorithm

1×

intervals

Results

657.0ms	1752×	body	1024	valid
274.0ms	4561×	body	128	valid
225.0ms	992×	body	512	valid
111.0ms	170×	body	2048	valid
76.0ms	525×	body	256	valid
66.0ms	191×	body	1024	invalid
51.0ms	222×	body	512	invalid
22.0ms	160×	body	256	invalid
13.0ms	201×	body	128	invalid
8.0ms	191×	body	128	nan

Compiler

Compiled 569 to 307 computations (46% saved)

Details

analyze591.0ms (14.7%)

sample52.0ms (1.3%)

simplify166.0ms (4.1%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite18.0ms (0.4%)

series132.0ms (3.3%)

simplify62.0ms (1.6%)

prune74.0ms (1.8%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite8.0ms (0.2%)

series109.0ms (2.7%)

simplify68.0ms (1.7%)

prune23.0ms (0.6%)

localize4.0ms (0.1%)

rewrite14.0ms (0.3%)

series183.0ms (4.6%)

simplify71.0ms (1.8%)

prune32.0ms (0.8%)

regimes229.0ms (5.7%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.2s (53.7%)

Profiling