Details

analyze201.0ms (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample64.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
2.0ms	31×	body	128	overflowed

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13
2	8	13

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 30 to 18 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series74.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

65.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
5×	`distribute-lft-out_binary64`

Counts

2 → 52

Calls

2 calls:

10.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify146.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
536×	`times-frac_binary64`
493×	`fma-def_binary64`
389×	`associate-/l*_binary64`
245×	`associate-/r*_binary64`

Counts

100 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1981
1	449	1869
2	1403	1853
3	4915	1853
4	5640	1853

prune142.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	2	109

Error

Counts

109 → 2

Alt Table

Status	Error	Program
▶	11.4b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
✓	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 2255 to 839 computations (62.8% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 b)) 2)
✓	0.0b	(/.f64 a (+.f64 1 (exp.f64 b)))
✓	0.0b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))

series198.0ms (3.1%)

Counts

4 → 28

Calls

4 calls:

147.0ms	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
39.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
8.0ms	(pow.f64 (+.f64 1 (exp.f64 b)) 2)
3.0ms	(+.f64 1 (exp.f64 b))

rewrite538.0ms (8.5%)

Algorithm

1×	rewrite-expression-head

Rules

1579×	`*-un-lft-identity_binary64`
995×	`times-frac_binary64`
558×	`prod-diff_binary64`
490×	`distribute-lft-out_binary64`
428×	`add-sqr-sqrt_binary64`

Counts

4 → 714

Calls

4 calls:

111.0ms	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
10.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
6.0ms	(pow.f64 (+.f64 1 (exp.f64 b)) 2)
4.0ms	(+.f64 1 (exp.f64 b))

simplify1.6s (25.2%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-neg_binary64`
302×	`exp-prod_binary64`
240×	`fma-udef_binary64`
233×	`distribute-rgt-neg-in_binary64`
207×	`distribute-neg-frac_binary64`

Counts

742 → 532

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	631	49061
1	1421	30961
2	2983	22035
3	4413	22028
4	4902	22028

prune1.9s (30%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	590	0	590
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	590	2	592

Error

Counts

592 → 2

Alt Table

Status	Error	Program
✓	11.4b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
✓	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 35498 to 23174 computations (34.7% saved)

regimes363.0ms (5.8%)

Accuracy

Total 0.4b remaining (62.9%)

Threshold costs 0.4b (62.9%)

Counts

46 → 1

Compiler

Compiled 4355 to 3184 computations (26.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15
2	17	15
3	19	15
4	20	15
5	20	15

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample1.0s (16.2%)

Algorithm

1×

intervals

Results

562.0ms	8000×	body	128	valid
43.0ms	726×	body	128	overflowed

Compiler

Compiled 58 to 40 computations (31% saved)

Details

analyze201.0ms (3.2%)

sample64.0ms (1%)

simplify12.0ms (0.2%)

prune3.0ms (0%)

localize12.0ms (0.2%)

series74.0ms (1.2%)

rewrite23.0ms (0.4%)

simplify146.0ms (2.3%)

prune142.0ms (2.3%)

localize21.0ms (0.3%)

series198.0ms (3.1%)

rewrite538.0ms (8.5%)

simplify1.6s (25.2%)

prune1.9s (30%)

regimes363.0ms (5.8%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.0s (16.2%)

Profiling