Details

analyze237.0ms (16.1%)

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)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	33×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify97.0ms (6.5%)

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 (0.3%)

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_4209`
1×	`pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `flip-+_binary64_4144` `add-cbrt-cube_binary64_4206` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `sum-log_binary64_4261` `distribute-lft-out_binary64_4121` `add-cube-cbrt_binary64_4205`

Counts

1 → 12

Calls

1 calls:

5.0ms

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

series37.0ms (2.5%)

Counts

1 → 9

Calls

1 calls:

37.0ms

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

simplify73.0ms (5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5248	209

prune14.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Merged error: 0.0b

Counts

23 → 2

Compiler

Compiled 184 to 48 computations (73.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
4×	`associate-r_binary64_4110`
3×	`pow1_binary64_4231` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
2×	`associate-*r/_binary64_4112`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209` `distribute-lft-out_binary64_4121` `unswap-sqr_binary64_4138`

Counts

1 → 23

Calls

1 calls:

6.0ms

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

series30.0ms (2%)

Counts

1 → 9

Calls

1 calls:

30.0ms

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

simplify98.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4890	281
1	4890	281

prune16.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	32	2	34

Merged error: 0b

Counts

34 → 2

Compiler

Compiled 280 to 71 computations (74.6% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 d3))
0.0b	(sqrt.f64 (+.f64 d2 d3))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 d3)))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 d3))) (sqrt.f64 (+.f64 d2 d3)))

rewrite34.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_4170`
18×	`sqrt-div_binary64_4187`
17×	`add-sqr-sqrt_binary64_4192` `sqrt-prod_binary64_4186`
14×	`associate-r_binary64_4110`
13×	`pow1_binary64_4231`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
10×	`associate-*r/_binary64_4112`
9×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
4×	`frac-times_binary64_4180` `associate-l_binary64_4111` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209` `distribute-lft-out_binary64_4121`
2×	`associate-l/_binary64_4113` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `-commutative_binary64_4101` `rem-sqrt-square_binary64_4183` `unswap-sqr_binary64_4138`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 d3))) (sqrt.f64 (+.f64 d2 d3)))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 d3)))
3.0ms	(sqrt.f64 (+.f64 d2 d3))
3.0ms	(sqrt.f64 (+.f64 d2 d3))

series125.0ms (8.5%)

Counts

4 → 30

Calls

4 calls:

61.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 d3)))
32.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 d3))) (sqrt.f64 (+.f64 d2 d3)))
16.0ms	(sqrt.f64 (+.f64 d2 d3))
16.0ms	(sqrt.f64 (+.f64 d2 d3))

simplify85.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4935	1552
1	4935	1552

prune72.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

Compiler

Compiled 1778 to 386 computations (78.3% saved)

regimes42.0ms (2.8%)

Compiler: Compiled 176 to 134 computations (23.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample467.0ms (31.6%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	128	valid
15.0ms	678×	body	128	invalid

Compiler

Compiled 59 to 47 computations (20.3% saved)

Details

analyze237.0ms (16.1%)

sample17.0ms (1.1%)

simplify97.0ms (6.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite5.0ms (0.4%)

series37.0ms (2.5%)

simplify73.0ms (5%)

prune14.0ms (0.9%)

localize4.0ms (0.3%)

rewrite7.0ms (0.5%)

series30.0ms (2%)

simplify98.0ms (6.6%)

prune16.0ms (1.1%)

localize6.0ms (0.4%)

rewrite34.0ms (2.3%)

series125.0ms (8.5%)

simplify85.0ms (5.7%)

prune72.0ms (4.9%)

regimes42.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample467.0ms (31.6%)

Profiling