Details

analyze240.0ms (13.5%)

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify104.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune3.0ms (0.2%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533`
4×	`associate-r_binary64_4451`
3×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `associate-l_binary64_4452` `add-cube-cbrt_binary64_4546`
2×	`associate-*r/_binary64_4453`
1×	`flip-+_binary64_4485` `distribute-lft-out_binary64_4462` `flip3-+_binary64_4514` `unswap-sqr_binary64_4479` `distribute-lft-in_binary64_4460` `add-log-exp_binary64_4550` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `distribute-rgt-in_binary64_4461` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 d3))

series86.0ms (4.9%)

Counts

1 → 15

Calls

1 calls:

86.0ms

(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 132 to 126 computations (4.5% saved)

simplify98.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4890	305
1	4890	305

prune19.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 300 to 73 computations (75.7% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

2.0b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
12.1b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
13.7b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

rewrite26.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_4533`
11×	`*-un-lft-identity_binary64_4511`
10×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
7×	`add-cube-cbrt_binary64_4546`
5×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `associate-/r*_binary64_4455` `times-frac_binary64_4517`
4×	`flip--_binary64_4486` `flip3--_binary64_4515` `associate-r/_binary64_4453` `associate-r*_binary64_4451` `difference-of-squares_binary64_4480`
3×	`associate-l_binary64_4452` `cancel-sign-sub-inv_binary64_4477` `sub-neg_binary64_4504`
2×	`distribute-lft-out--_binary64_4463` `associate-/l/_binary64_4458` `distribute-lft-in_binary64_4460` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `div-exp_binary64_4562` `associate-/r/_binary64_4457` `distribute-rgt-in_binary64_4461` `cbrt-undiv_binary64_4545`
1×	`associate-/l_binary64_4456` `unswap-sqr_binary64_4479` `diff-log_binary64_4603` `frac-2neg_binary64_4522` `pow-prod-down_binary64_4582` `-commutative_binary64_4442` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

3 → 67

Calls

3 calls:

10.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
4.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

series514.0ms (29%)

Counts

3 → 42

Calls

3 calls:

234.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
183.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
96.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

Compiler

Compiled 714 to 612 computations (14.3% saved)

simplify69.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5043	1410

prune60.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 1554 to 296 computations (81% saved)

regimes43.0ms (2.4%)

Accuracy

Total 0.0b remaining (71.2%)

Threshold costs 0.0b (71.2%)

Compiler

Compiled 144 to 142 computations (1.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample476.0ms (26.8%)

Algorithm

1×

intervals

Results

188.0ms	8000×	body	128	valid
20.0ms	636×	body	128	invalid

Compiler

Compiled 49 to 48 computations (2% saved)

Details

analyze240.0ms (13.5%)

sample14.0ms (0.8%)

simplify104.0ms (5.9%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

rewrite8.0ms (0.4%)

series86.0ms (4.9%)

simplify98.0ms (5.5%)

prune19.0ms (1.1%)

localize8.0ms (0.5%)

rewrite26.0ms (1.4%)

series514.0ms (29%)

simplify69.0ms (3.9%)

prune60.0ms (3.4%)

regimes43.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample476.0ms (26.8%)

Profiling