Details

analyze926.0ms (21.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample157.0ms (3.7%)

Algorithm

1×

intervals

Results

67.0ms	92×	body	1024	valid
8.0ms	38×	body	512	valid
6.0ms	97×	body	128	valid
4.0ms	10×	body	2048	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Rules

667×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
380×	`fma-def_binary64`
279×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	25	13
2	34	13
3	59	13
4	123	11
5	318	8
6	1056	8
7	4350	8
8	4987	8

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.0b	(+.f64 1 (exp.f64 x))

series7.0ms (0.2%)

Counts

2 → 8

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
4×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 38

Calls

2 calls:

3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(+.f64 1 (exp.f64 x))

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
283×	`fma-neg_binary64`
235×	`fma-def_binary64`
177×	`associate-/r/_binary64`
165×	`associate-+l+_binary64`

Counts

46 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	538
1	218	494
2	595	470
3	2140	454
4	4978	454
5	4938	454
6	5008	454

prune30.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Alt Table

Status	Error	Program
▶	0.5b	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 681 to 497 computations (27% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
✓	0.0b	(exp.f64 (exp.f64 x))
✓	0.2b	(log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x))))
✓	0.6b	(*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))

series615.0ms (14.5%)

Counts

4 → 24

Calls

4 calls:

330.0ms	(log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x))))
279.0ms	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
4.0ms	(*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))
2.0ms	(exp.f64 (exp.f64 x))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
19×	`pow1_binary64`
15×	`exp-prod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`log-pow_binary64`

Counts

4 → 73

Calls

4 calls:

5.0ms	(*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))
4.0ms	(log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x))))
4.0ms	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
1.0ms	(exp.f64 (exp.f64 x))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-def_binary64`
393×	`fma-neg_binary64`
358×	`associate-l_binary64`
344×	`distribute-lft-out_binary64`
308×	`distribute-rgt-out_binary64`

Counts

97 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1019
1	324	926
2	944	905
3	2790	896
4	4777	896
5	4958	896

prune161.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	2	130

Error

Counts

130 → 2

Alt Table

Status	Error	Program
✓	0.5b	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 1732 to 1217 computations (29.7% saved)

regimes35.0ms (0.8%)

Accuracy

Total 0.0b remaining (6.6%)

Threshold costs 0.0b (6.6%)

Counts

8 → 1

Compiler

Compiled 308 to 265 computations (14% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	8	8

end0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

sample2.1s (48.9%)

Algorithm

1×

intervals

Results

1.0s	2628×	body	1024	valid
277.0ms	1288×	body	512	valid
240.0ms	3123×	body	128	valid
144.0ms	289×	body	2048	valid
91.0ms	672×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

Details

analyze926.0ms (21.8%)

sample157.0ms (3.7%)

simplify41.0ms (1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite6.0ms (0.2%)

simplify80.0ms (1.9%)

prune30.0ms (0.7%)

localize8.0ms (0.2%)

series615.0ms (14.5%)

rewrite18.0ms (0.4%)

simplify76.0ms (1.8%)

prune161.0ms (3.8%)

regimes35.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (48.9%)

Profiling