Details

analyze1.1s (29.8%)

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)

sample55.0ms (1.5%)

Algorithm

1×

intervals

Results

29.0ms	88×	body	1024	valid
9.0ms	43×	body	512	valid
5.0ms	94×	body	128	valid
3.0ms	25×	body	256	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify78.0ms (2.1%)

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

rewrite25.0ms (0.7%)

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)

series20.0ms (0.5%)

Error

Counts

2 → 10

Calls

2 calls:

10.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
5.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 248 to 216 computations (12.9% saved)

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

563×	`cancel-sign-sub-inv_binary64`
532×	`associate-/l/_binary64`
267×	`distribute-neg-frac_binary64`
219×	`distribute-rgt-in_binary64`
218×	`neg-mul-1_binary64`

Counts

38 → 13

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	433
1	143	412
2	292	398
3	750	398
4	2431	390
5	4728	390
6	5010	390

prune9.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Error

Counts

14 → 2

Alt Table

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

Compiler

Compiled 157 to 116 computations (26.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
0.0b	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
0.0b	(pow.f64 (+.f64 1 (exp.f64 x)) 3)

rewrite72.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`cbrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`sqrt-prod_binary64`
14×	`add-cube-cbrt_binary64`

Counts

4 → 98

Calls

4 calls:

7.0ms	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
4.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3)
3.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
2.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 1225 to 927 computations (24.3% saved)

series35.0ms (0.9%)

Error

Counts

4 → 20

Calls

4 calls:

9.0ms	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)))
8.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
5.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 470 to 410 computations (12.8% saved)

simplify102.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-+l+_binary64`
396×	`associate-+r+_binary64`
292×	`exp-prod_binary64`
220×	`exp-sum_binary64`
198×	`log-prod_binary64`

Counts

118 → 79

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	1385
1	245	1314
2	670	1282
3	1680	1270
4	4665	1267
5	5079	1267

prune24.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Error

Counts

81 → 2

Alt Table

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

Compiler

Compiled 494 to 361 computations (26.9% saved)

regimes96.0ms (2.6%)

Accuracy

Total 0.1b remaining (76.9%)

Threshold costs 0.1b (76.9%)

Compiler

Compiled 714 to 608 computations (14.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`exp-1-e_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	12	13

end0.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

sample2.0s (54.1%)

Algorithm

1×

intervals

Results

1.0s	2711×	body	1024	valid
306.0ms	1384×	body	512	valid
265.0ms	2968×	body	128	valid
114.0ms	291×	body	2048	valid
83.0ms	646×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 38 to 33 computations (13.2% saved)

Details

analyze1.1s (29.8%)

sample55.0ms (1.5%)

simplify78.0ms (2.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite25.0ms (0.7%)

series20.0ms (0.5%)

simplify67.0ms (1.8%)

prune9.0ms (0.2%)

localize6.0ms (0.2%)

rewrite72.0ms (1.9%)

series35.0ms (0.9%)

simplify102.0ms (2.7%)

prune24.0ms (0.6%)

regimes96.0ms (2.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (54.1%)

Profiling