Details

analyze2.5s (27.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
0%	50%	50%	6
0%	50%	50%	7
0%	50%	50%	8
0%	50%	50%	9
0%	50%	50%	10
0%	50%	50%	11
0%	50%	50%	12
0%	50%	50%	13
0%	50%	50%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.1s (66.3%)

Results

3.8s	4094×	body	1024	valid
1.1s	2122×	body	512	valid
574.0ms	393×	body	2048	valid
446.0ms	1048×	body	256	valid
95.0ms	599×	body	128	valid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	32	10
5	42	10
6	53	10
7	66	10
8	70	10
9	53	10

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

series19.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

19.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite4.0ms (0%)

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`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/r*_binary64`
289×	`fma-def_binary64`
234×	`times-frac_binary64`
195×	`distribute-rgt-in_binary64`
154×	`associate-/l/_binary64`

Counts

41 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1544
1	492	1488
2	1711	1276
3	4911	1276

prune42.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Error

Counts

56 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.0b	(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	0.5b	(-.f64 -1 x)

Compiler

Compiled 1648 to 1026 computations (37.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

series64.0ms (0.7%)

Counts

2 → 24

Calls

2 calls:

44.0ms	(exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
20.0ms	(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`exp-prod_binary64`
18×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`

Counts

2 → 50

Calls

2 calls:

3.0ms	(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
3.0ms	(exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

371×	`associate-/r*_binary64`
269×	`associate-+r+_binary64`
260×	`sub-neg_binary64`
224×	`times-frac_binary64`
214×	`+-commutative_binary64`

Counts

74 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	4323
1	1086	4124
2	4469	4118
3	5157	4118

prune168.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	175	3	178

Error

Counts

178 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
▶	0.5b	(-.f64 -1 x)

Compiler

Compiled 7440 to 4957 computations (33.4% saved)

localize2.0ms (0%)

prune2.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
✓	0.5b	(-.f64 -1 x)

Compiler

Compiled 20 to 15 computations (25% saved)

regimes23.0ms (0.2%)

Accuracy

Total 0.0b remaining (60.1%)

Threshold costs 0.0b (60.1%)

Counts

6 → 1

Compiler

Compiled 130 to 102 computations (21.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	12	10
3	13	10
4	13	10

end50.0ms (0.6%)

Compiler: Compiled 34 to 25 computations (26.5% saved)

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
0%	50%	50%	6
0%	50%	50%	7
0%	50%	50%	8
0%	50%	50%	9
0%	50%	50%	10
0%	50%	50%	11
0%	50%	50%	12
0%	50%	50%	13
0%	50%	50%	14

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
0%	50%	50%	6
0%	50%	50%	7
0%	50%	50%	8
0%	50%	50%	9
0%	50%	50%	10
0%	50%	50%	11
0%	50%	50%	12
0%	50%	50%	13
0%	50%	50%	14

Details

analyze2.5s (27.4%)

sample6.1s (66.3%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize5.0ms (0.1%)

series19.0ms (0.2%)

rewrite4.0ms (0%)

simplify49.0ms (0.5%)

prune42.0ms (0.5%)

localize8.0ms (0.1%)

series64.0ms (0.7%)

rewrite10.0ms (0.1%)

simplify110.0ms (1.2%)

prune168.0ms (1.8%)

localize2.0ms (0%)

prune2.0ms (0%)

regimes23.0ms (0.2%)

simplify2.0ms (0%)

end50.0ms (0.6%)

Profiling

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
0%	50%	50%	6
0%	50%	50%	7
0%	50%	50%	8
0%	50%	50%	9
0%	50%	50%	10
0%	50%	50%	11
0%	50%	50%	12
0%	50%	50%	13
0%	50%	50%	14