Details

analyze1.1s (22.4%)

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)

sample101.0ms (2.1%)

Algorithm

1×

intervals

Results

44.0ms	6×	body	2048	valid
34.0ms	99×	body	1024	valid
8.0ms	41×	body	512	valid
5.0ms	95×	body	128	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

669×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
279×	`distribute-rgt-in_binary64`
273×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	32	19
3	55	19
4	116	11
5	296	8
6	987	8
7	4260	8
8	4954	8
9	5000	8
10	4831	8

prune3.0ms (0.1%)

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

Alt Table

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 28

Calls

2 calls:

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

Compiler

Compiled 294 to 198 computations (32.7% saved)

series22.0ms (0.5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

10.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 283 computations (12.7% saved)

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
663×	`associate-/l*_binary64`
177×	`associate-/r/_binary64`
165×	`associate-+l+_binary64`
153×	`distribute-neg-frac_binary64`

Counts

40 → 15

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	545
1	205	521
2	543	490
3	1894	476
4	5062	476

prune13.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

Counts

16 → 3

Alt Table

Status	Error	Program
	0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
▶	0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 270 to 201 computations (25.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
2.5b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite110.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
22×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`

Counts

4 → 105

Calls

4 calls:

14.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
5.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
2.0ms	(pow.f64 (exp.f64 x) 2)
2.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 2287 to 1497 computations (34.5% saved)

series89.0ms (1.9%)

Error

Counts

4 → 24

Calls

4 calls:

34.0ms	(pow.f64 (exp.f64 x) 3)
25.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
7.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1043 to 820 computations (21.4% saved)

simplify222.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

378×	`log-prod_binary64`
299×	`associate-+l+_binary64`
281×	`unswap-sqr_binary64`
240×	`exp-prod_binary64`
238×	`cancel-sign-sub-inv_binary64`

Counts

129 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	2652
1	459	2495
2	1263	2435
3	4118	2435
4	4978	2435
5	4991	2435
6	5120	2435

prune55.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Error

Counts

95 → 3

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 1533 to 1033 computations (32.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
2.5b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite149.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

107×	`*-un-lft-identity_binary64`
76×	`sqrt-prod_binary64`
56×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`
46×	`add-cube-cbrt_binary64`

Counts

4 → 156

Calls

4 calls:

14.0ms	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
5.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
4.0ms	(pow.f64 (exp.f64 x) 2)
2.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 3393 to 2311 computations (31.9% saved)

series203.0ms (4.3%)

Error

Counts

4 → 24

Calls

4 calls:

163.0ms	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
9.0ms	(pow.f64 (exp.f64 x) 3)
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
7.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1080 to 857 computations (20.6% saved)

simplify203.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

352×	`exp-prod_binary64`
347×	`log-prod_binary64`
281×	`unswap-sqr_binary64`
209×	`cancel-sign-sub-inv_binary64`
209×	`prod-exp_binary64`

Counts

180 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	5150
1	506	4969
2	1393	4909
3	3816	4889
4	4389	4889
5	4925	4889

prune73.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	146	3	149

Error

Counts

149 → 3

Alt Table

Status	Error	Program
	0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
	0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 2173 to 1499 computations (31% saved)

regimes62.0ms (1.3%)

Accuracy

Total 0.1b remaining (60.4%)

Threshold costs 0.1b (60.4%)

Compiler

Compiled 799 to 627 computations (21.5% 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	9	13
1	12	13
2	11	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample2.2s (46.4%)

Algorithm

1×

intervals

Results

926.0ms	2633×	body	1024	valid
403.0ms	1363×	body	512	valid
261.0ms	3057×	body	128	valid
150.0ms	287×	body	2048	valid
140.0ms	660×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 67 to 53 computations (20.9% saved)

Details

analyze1.1s (22.4%)

sample101.0ms (2.1%)

simplify78.0ms (1.6%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite27.0ms (0.6%)

series22.0ms (0.5%)

simplify49.0ms (1%)

prune13.0ms (0.3%)

localize10.0ms (0.2%)

rewrite110.0ms (2.3%)

series89.0ms (1.9%)

simplify222.0ms (4.6%)

prune55.0ms (1.2%)

localize11.0ms (0.2%)

rewrite149.0ms (3.1%)

series203.0ms (4.3%)

simplify203.0ms (4.2%)

prune73.0ms (1.5%)

regimes62.0ms (1.3%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.2s (46.4%)

Profiling