Details

analyze237.0ms (17.1%)

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 (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify94.0ms (6.8%)

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

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `add-sqr-sqrt_binary64_3851`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series31.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify74.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5136	167

prune9.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

Compiler

Compiled 154 to 48 computations (68.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
4×	`associate-r_binary64_3769`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `prod-exp_binary64_3878` `distribute-rgt-in_binary64_3779` `distribute-lft-out_binary64_3780` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`

Counts

1 → 23

Calls

1 calls:

6.0ms

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

series25.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify97.0ms (7%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4890	239
1	4890	239

prune15.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	3	28

Merged error: 0b

Counts

28 → 3

Compiler

Compiled 248 to 71 computations (71.4% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (+.f64 d2 d3) (sqrt.f64 d1))
0.2b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 d3) (sqrt.f64 d1)))

rewrite23.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3851`
10×	`associate-l_binary64_3770`
9×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
7×	`sqrt-prod_binary64_3845` `add-cube-cbrt_binary64_3864` `associate-r_binary64_3769`
4×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `associate-*l/_binary64_3772` `cbrt-unprod_binary64_3862`
2×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `associate-r/_binary64_3771` `-commutative_binary64_3760`
1×	`distribute-lft-out_binary64_3780`

Counts

2 → 48

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 d3) (sqrt.f64 d1)))
7.0ms	(*.f64 (+.f64 d2 d3) (sqrt.f64 d1))

series84.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(*.f64 (+.f64 d2 d3) (sqrt.f64 d1))
42.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 d3) (sqrt.f64 d1)))

simplify66.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4932	628
1	4932	628

prune34.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Merged error: 0b

Counts

57 → 3

Compiler

Compiled 674 to 167 computations (75.2% saved)

regimes50.0ms (3.6%)

Compiler: Compiled 256 to 222 computations (13.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample503.0ms (36.3%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
15.0ms	643×	body	128	invalid

Compiler

Compiled 79 to 69 computations (12.7% saved)

Details

analyze237.0ms (17.1%)

sample14.0ms (1%)

simplify94.0ms (6.8%)

prune3.0ms (0.2%)

localize5.0ms (0.4%)

rewrite5.0ms (0.4%)

series31.0ms (2.2%)

simplify74.0ms (5.4%)

prune9.0ms (0.6%)

localize4.0ms (0.3%)

rewrite8.0ms (0.5%)

series25.0ms (1.8%)

simplify97.0ms (7%)

prune15.0ms (1.1%)

localize6.0ms (0.4%)

rewrite23.0ms (1.7%)

series84.0ms (6.1%)

simplify66.0ms (4.7%)

prune34.0ms (2.4%)

regimes50.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample503.0ms (36.3%)

Profiling