Details

analyze778.0ms (5.3%)

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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	50%	0.1%	7
50%	50%	0.1%	8
50%	50%	0.1%	9
50%	50%	0.1%	10
50%	50%	0.1%	11
50%	50%	0.1%	12
50%	50%	0.1%	13
50%	50%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample12.7s (86.2%)

Symmetry

(sort a b)

Results

9.7s	7814×	body	8192	exit
1.6s	1991×	body	1024	valid
609.0ms	4607×	body	128	valid
407.0ms	957×	body	512	valid
192.0ms	206×	body	2048	valid
126.0ms	495×	body	256	valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

prune2.0ms (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

27.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	27.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	5.1b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series428.0ms (2.9%)

Counts

2 → 48

Calls

2 calls:

424.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`log-prod_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
418×	`associate-+l+_binary64`
392×	`fma-def_binary64`
238×	`times-frac_binary64`
229×	`associate-+r+_binary64`

Counts

82 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1238
1	334	1183
2	1034	1155
3	4062	1151
4	4828	1151
5	4973	1151

prune70.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

0.8b

Counts

84 → 3

Alt Table

Status	Error	Program
	29.7b	(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
✓	27.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 1353 to 614 computations (54.6% saved)

localize7.0ms (0%)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

0.8b

Counts

3 → 3

Alt Table

Status	Error	Program
▶	29.7b	(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
✓	27.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(/.f64 a (+.f64 1 (exp.f64 b)))
✓	1.2b	(log1p.f64 (exp.f64 b))

series208.0ms (1.4%)

Counts

3 → 20

Calls

3 calls:

187.0ms	(log1p.f64 (exp.f64 b))
19.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
2.0ms	(+.f64 1 (exp.f64 b))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

4.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
3.0ms	(+.f64 1 (exp.f64 b))
0.0ms	(log1p.f64 (exp.f64 b))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac_binary64`
512×	`associate-l_binary64`
411×	`associate-r_binary64`
299×	`fma-neg_binary64`
270×	`associate-/l*_binary64`

Counts

83 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	998
1	280	921
2	640	908
3	1580	898
4	4186	898
5	4985	898

prune54.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Error

0.8b

Counts

93 → 3

Alt Table

Status	Error	Program
✓	29.7b	(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
✓	27.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 1483 to 773 computations (47.9% saved)

regimes89.0ms (0.6%)

Accuracy

Total 0.5b remaining (55.7%)

Threshold costs 0.5b (55.7%)

Counts

16 → 1

Compiler

Compiled 1152 to 877 computations (23.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16
2	12	16

end199.0ms (1.4%)

Compiler: Compiled 80 to 54 computations (32.5% saved)

Details

analyze778.0ms (5.3%)

sample12.7s (86.2%)

simplify6.0ms (0%)

prune2.0ms (0%)

localize5.0ms (0%)

series428.0ms (2.9%)

rewrite7.0ms (0%)

simplify83.0ms (0.6%)

prune70.0ms (0.5%)

localize7.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0%)

series208.0ms (1.4%)

rewrite10.0ms (0.1%)

simplify70.0ms (0.5%)

prune54.0ms (0.4%)

regimes89.0ms (0.6%)

simplify2.0ms (0%)

end199.0ms (1.4%)

Profiling