Details

analyze664.0ms (11.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2142	26
1	2142	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify405.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (396.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite132.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`*-un-lft-identity_binary64_21902`
40×	`add-sqr-sqrt_binary64_21924`
30×	`times-frac_binary64_21908`
19×	`distribute-lft-out--_binary64_21854`
14×	`add-cube-cbrt_binary64_21937`
13×	`difference-of-squares_binary64_21871`
6×	`distribute-lft-out_binary64_21853` `associate-/r*_binary64_21846`
5×	`associate-/l*_binary64_21847`
3×	`add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
2×	`flip3--_binary64_21906` `associate-/l/_binary64_21849` `flip--_binary64_21877` `associate-/r/_binary64_21848`
1×	`pow1_binary64_21963` `div-exp_binary64_21953` `add-log-exp_binary64_21941` `cbrt-undiv_binary64_21936` `frac-2neg_binary64_21913` `div-sub_binary64_21907` `clear-num_binary64_21901` `div-inv_binary64_21899`

Counts

1 → 58

Calls

1 calls:

21.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1117 to 472 computations (57.7% saved)

series259.0ms (4.5%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

213.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1013 to 810 computations (20% saved)

simplify110.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5293	1847

prune120.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1422 to 663 computations (53.4% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))

rewrite551.0ms (9.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

292×	`*-un-lft-identity_binary64_21902`
258×	`times-frac_binary64_21908`
214×	`add-sqr-sqrt_binary64_21924`
100×	`add-cube-cbrt_binary64_21937`
83×	`distribute-lft-out--_binary64_21854`
57×	`difference-of-squares_binary64_21871`
41×	`associate-/r*_binary64_21846`
26×	`distribute-lft-out_binary64_21853`
15×	`add-exp-log_binary64_21940`
11×	`associate-/r/_binary64_21848`
9×	`add-cbrt-cube_binary64_21938` `associate-/l*_binary64_21847`
8×	`div-exp_binary64_21953`
6×	`div-inv_binary64_21899` `flip3--_binary64_21906` `flip--_binary64_21877`
4×	`cbrt-undiv_binary64_21936`
3×	`pow1_binary64_21963`
2×	`1-exp_binary64_21946` `rec-exp_binary64_21952` `add-log-exp_binary64_21941` `frac-2neg_binary64_21913` `clear-num_binary64_21901` `associate-/l/_binary64_21849`
1×	`inv-pow_binary64_21987` `pow-flip_binary64_21976` `div-sub_binary64_21907`

Counts

2 → 226

Calls

2 calls:

31.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))
21.0ms	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))

Compiler

Compiled 5434 to 2774 computations (49% saved)

series845.0ms (14.7%)

Error

Counts

2 → 38

Calls

2 calls:

517.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))
237.0ms	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))

Compiler

Compiled 2118 to 1720 computations (18.8% saved)

simplify217.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5338	7006

prune421.0ms (7.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	264	3	267

Error

Counts

267 → 3

Compiler

Compiled 5521 to 2588 computations (53.1% saved)

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 1 (/.f64 2 x))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_21941` `*-un-lft-identity_binary64_21902`
1×	`sum-log_binary64_21993` `pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938` `add-cube-cbrt_binary64_21937` `add-sqr-sqrt_binary64_21924` `flip3-+_binary64_21905` `flip-+_binary64_21876` `distribute-lft-out_binary64_21853` `+-commutative_binary64_21832`

Counts

1 → 12

Calls

1 calls:

11.0ms

(+.f64 1 (/.f64 2 x))

Compiler

Compiled 215 to 160 computations (25.6% saved)

series61.0ms (1.1%)

Error

Counts

1 → 6

Calls

1 calls:

53.0ms

(+.f64 1 (/.f64 2 x))

Compiler

Compiled 163 to 137 computations (16% saved)

simplify172.0ms (3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4899	158
1	4899	158

prune24.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	18	3	21

Error

Counts

21 → 3

Compiler

Compiled 246 to 172 computations (30.1% saved)

regimes218.0ms (3.8%)

Accuracy

Total 0.0b remaining (77.6%)

Threshold costs 0.0b (77.6%)

Compiler

Compiled 1177 to 859 computations (27% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample1.5s (25.3%)

Algorithm

1×

intervals

Results

370.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 419 to 306 computations (27% saved)

Details

analyze664.0ms (11.5%)

sample24.0ms (0.4%)

simplify405.0ms (7%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite132.0ms (2.3%)

series259.0ms (4.5%)

simplify110.0ms (1.9%)

prune120.0ms (2.1%)

localize18.0ms (0.3%)

rewrite551.0ms (9.6%)

series845.0ms (14.7%)

simplify217.0ms (3.8%)

prune421.0ms (7.3%)

localize15.0ms (0.3%)

rewrite32.0ms (0.6%)

series61.0ms (1.1%)

simplify172.0ms (3%)

prune24.0ms (0.4%)

regimes218.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (25.3%)

Profiling