Details

analyze571.0ms (19.9%)

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)

sample58.0ms (2%)

Algorithm

1×

intervals

Results

29.0ms	100×	body	1024	valid
7.0ms	40×	body	512	valid
4.0ms	85×	body	128	valid
4.0ms	9×	body	2048	valid
2.0ms	22×	body	256	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify79.0ms (2.7%)

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

prune8.0ms (0.3%)

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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite37.0ms (1.3%)

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:

5.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 294 to 198 computations (32.7% saved)

series36.0ms (1.3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

16.0ms	(+.f64 1 (exp.f64 x))
12.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 324 to 283 computations (12.7% saved)

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

40 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	545
1	211	521
2	543	490
3	1892	484
4	5073	484

prune22.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (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)))))

Compiler

Compiled 341 to 252 computations (26.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (pow.f64 (exp.f64 x) 3))
0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 2)
3.0b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite101.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
8×	`pow-pow_binary64`
8×	`add-log-exp_binary64`

Counts

4 → 79

Calls

4 calls:

6.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
5.0ms	(+.f64 1 (pow.f64 (exp.f64 x) 3))
3.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1707 to 1103 computations (35.4% saved)

series65.0ms (2.3%)

Error

Counts

4 → 24

Calls

4 calls:

13.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
11.0ms	(+.f64 1 (pow.f64 (exp.f64 x) 3))
11.0ms	(pow.f64 (exp.f64 x) 3)
10.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 999 to 756 computations (24.3% saved)

simplify121.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

489×	`exp-prod_binary64`
371×	`distribute-rgt-out_binary64`
370×	`log-prod_binary64`
325×	`cancel-sign-sub-inv_binary64`
302×	`unswap-sqr_binary64`

Counts

103 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	1185
1	333	1024
2	914	994
3	2581	994
4	3948	988
5	4595	988
6	4859	988

prune45.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Error

Counts

66 → 2

Alt Table

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

Compiler

Compiled 923 to 602 computations (34.8% saved)

regimes77.0ms (2.7%)

Accuracy

Total 0.0b remaining (12.6%)

Threshold costs 0.0b (12.6%)

Compiler

Compiled 640 to 504 computations (21.3% 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

end1.0ms (0%)

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

sample1.6s (55.1%)

Algorithm

1×

intervals

Results

763.0ms	2684×	body	1024	valid
207.0ms	1330×	body	512	valid
139.0ms	3037×	body	128	valid
100.0ms	295×	body	2048	valid
69.0ms	654×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 45 to 36 computations (20% saved)

Details

analyze571.0ms (19.9%)

sample58.0ms (2%)

simplify79.0ms (2.7%)

prune8.0ms (0.3%)

localize5.0ms (0.2%)

rewrite37.0ms (1.3%)

series36.0ms (1.3%)

simplify50.0ms (1.7%)

prune22.0ms (0.8%)

localize10.0ms (0.4%)

rewrite101.0ms (3.5%)

series65.0ms (2.3%)

simplify121.0ms (4.2%)

prune45.0ms (1.6%)

regimes77.0ms (2.7%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.6s (55.1%)

Profiling