Details

analyze95.0ms (4.6%)

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)

sample30.0ms (1.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	17×	body	128	overflowed

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify6.0ms (0.3%)

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

prune1.0ms (0.1%)

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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series34.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite13.0ms (0.6%)

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:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify79.0ms (3.8%)

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

prune83.0ms (4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Error

0.2b

Counts

109 → 3

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
	20.4b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
	13.7b	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 2279 to 855 computations (62.5% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
✓	0.2b	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

series44.0ms (2.1%)

Counts

2 → 48

Calls

2 calls:

28.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
15.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 125

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
5.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

simplify132.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

794×	`times-frac_binary64`
487×	`fma-def_binary64`
362×	`fma-neg_binary64`
211×	`associate-/r/_binary64`
194×	`distribute-rgt-in_binary64`

Counts

173 → 194

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	4260
1	539	3945
2	1748	3867
3	4460	3864
4	5013	3864

prune137.0ms (6.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	233	3	236

Error

Counts

236 → 3

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
	20.4b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
▶	20.2b	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 b 1))))

Compiler

Compiled 5081 to 1771 computations (65.1% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 b 1))))

series48.0ms (2.3%)

Counts

1 → 24

Calls

1 calls:

48.0ms

(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 b 1))))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 b 1))))

simplify62.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-/l*_binary64`
652×	`fma-def_binary64`
299×	`distribute-rgt-in_binary64`
269×	`distribute-lft-in_binary64`
175×	`associate-/r/_binary64`

Counts

59 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2331
1	509	2040
2	1988	1919
3	5508	1919

prune69.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
▶	20.4b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
✓	20.2b	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 b 1))))

Compiler

Compiled 2396 to 1601 computations (33.2% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
✓	0.0b	(*.f64 b (exp.f64 a))
✓	0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	0.3b	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

series111.0ms (5.3%)

Counts

4 → 44

Calls

4 calls:

91.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
11.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
5.0ms	(*.f64 b (exp.f64 a))
3.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)

rewrite26.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
17×	`add-exp-log_binary64`

Counts

4 → 115

Calls

4 calls:

7.0ms	(*.f64 b (exp.f64 a))
7.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
5.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
3.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)

simplify89.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

502×	`fma-def_binary64`
449×	`associate-/r*_binary64`
352×	`associate-*l/_binary64`
343×	`associate-/l/_binary64`
257×	`associate-*r/_binary64`

Counts

159 → 202

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2560
1	486	2217
2	1573	2165
3	4346	2165
4	4953	2165

prune144.0ms (6.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	202	3	205

Error

Counts

205 → 3

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
✓	20.4b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
✓	20.2b	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 b 1))))

Compiler

Compiled 5128 to 2723 computations (46.9% saved)

regimes255.0ms (12.2%)

Accuracy

Total 0.5b remaining (71.4%)

Threshold costs 0.5b (71.4%)

Counts

68 → 1

Compiler

Compiled 5071 to 3280 computations (35.3% saved)

simplify2.0ms (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	16
1	12	16
2	11	16

end0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample574.0ms (27.4%)

Algorithm

1×

intervals

Results

299.0ms	8000×	body	128	valid
20.0ms	700×	body	128	overflowed

Compiler

Compiled 71 to 49 computations (31% saved)

Details

analyze95.0ms (4.6%)

sample30.0ms (1.4%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series34.0ms (1.6%)

rewrite13.0ms (0.6%)

simplify79.0ms (3.8%)

prune83.0ms (4%)

localize6.0ms (0.3%)

series44.0ms (2.1%)

rewrite24.0ms (1.1%)

simplify132.0ms (6.3%)

prune137.0ms (6.5%)

localize7.0ms (0.3%)

series48.0ms (2.3%)

rewrite5.0ms (0.2%)

simplify62.0ms (2.9%)

prune69.0ms (3.3%)

localize11.0ms (0.5%)

series111.0ms (5.3%)

rewrite26.0ms (1.2%)

simplify89.0ms (4.2%)

prune144.0ms (6.9%)

regimes255.0ms (12.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample574.0ms (27.4%)

Profiling