Details

analyze760.0ms (25.2%)

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 (1.8%)

Algorithm

1×

intervals

Results

23.0ms	78×	body	1024	valid
13.0ms	60×	body	512	valid
4.0ms	97×	body	128	valid
2.0ms	5×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify82.0ms (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))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `sqrt-div_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_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)

series44.0ms (1.5%)

Error

Counts

2 → 12

Calls

2 calls:

19.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
15.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 283 computations (12.7% saved)

simplify47.0ms (1.6%)

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	5074	484

prune26.0ms (0.9%)

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 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3)))

Compiler

Compiled 323 to 242 computations (25.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite99.0ms (3.3%)

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 (exp.f64 x) 1) 3)))
5.0ms	(pow.f64 (+.f64 (exp.f64 x) 1) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
4.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 1225 to 927 computations (24.3% saved)

series54.0ms (1.8%)

Error

Counts

4 → 24

Calls

4 calls:

12.0ms	(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3)))
12.0ms	(pow.f64 (+.f64 (exp.f64 x) 1) 3)
7.0ms	(+.f64 (exp.f64 x) 1)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 584 to 509 computations (12.8% saved)

simplify136.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

406×	`times-frac_binary64`
262×	`exp-prod_binary64`
222×	`distribute-rgt-in_binary64`
204×	`distribute-lft-in_binary64`
200×	`log-prod_binary64`

Counts

122 → 83

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	151	1577
1	317	1497
2	969	1445
3	2977	1430
4	4719	1427
5	4995	1427
6	4925	1427

prune38.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Error

Counts

85 → 2

Alt Table

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

Compiler

Compiled 602 to 447 computations (25.7% saved)

regimes80.0ms (2.6%)

Accuracy

Total 0.0b remaining (6.2%)

Threshold costs 0.0b (6.2%)

Compiler

Compiled 522 to 434 computations (16.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64` `+-commutative_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)

sample1.5s (51.1%)

Algorithm

1×

intervals

Results

755.0ms	2685×	body	1024	valid
204.0ms	1344×	body	512	valid
128.0ms	3030×	body	128	valid
102.0ms	292×	body	2048	valid
61.0ms	649×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

Details

analyze760.0ms (25.2%)

sample55.0ms (1.8%)

simplify82.0ms (2.7%)

prune8.0ms (0.3%)

localize5.0ms (0.2%)

rewrite31.0ms (1%)

series44.0ms (1.5%)

simplify47.0ms (1.6%)

prune26.0ms (0.9%)

localize7.0ms (0.2%)

rewrite99.0ms (3.3%)

series54.0ms (1.8%)

simplify136.0ms (4.5%)

prune38.0ms (1.3%)

regimes80.0ms (2.6%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.5s (51.1%)

Profiling