Details

analyze1.7s (22.9%)

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
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample144.0ms (1.9%)

Algorithm

1×

intervals

Results

87.0ms	132×	body	1024	valid
25.0ms	63×	body	512	valid
8.0ms	9×	body	2048	valid
6.0ms	31×	body	256	valid
5.0ms	256×	pre	128	true
2.0ms	21×	body	128	valid

Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify11.0ms (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

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	61.3b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 50 to 38 computations (24% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

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))

series19.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

19.0ms

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

simplify58.0ms (0.8%)

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 → 59

Iterations

Useful iterations: 2 (0.0ms)

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

prune43.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	3	61

Error

Counts

61 → 3

Alt Table

Status	Error	Program
	0.8b	(-.f64 -1 x)
▶	0.0b	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

Compiler

Compiled 1661 to 1037 computations (37.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	0.0b	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

4.0ms	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
2.0ms	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

series38.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

19.0ms	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
18.0ms	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

simplify153.0ms (2%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
289×	`sub-neg_binary64`
267×	`associate-/r*_binary64`
251×	`unswap-sqr_binary64`
217×	`associate-+r+_binary64`

Counts

131 → 233

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	4332
1	900	3951
2	3270	3703
3	4889	3703
4	4939	3703

prune117.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

Counts

236 → 3

Alt Table

Status	Error	Program
	0.8b	(-.f64 -1 x)
✓	0.0b	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

Compiler

Compiled 4926 to 2704 computations (45.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
32×	`cbrt-prod_binary64`
32×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`

Counts

2 → 92

Calls

2 calls:

4.0ms	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
3.0ms	(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)

series100.0ms (1.3%)

Counts

2 → 24

Calls

2 calls:

79.0ms	(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)
20.0ms	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

simplify116.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

392×	`associate-+r+_binary64`
325×	`associate-/r*_binary64`
277×	`fma-def_binary64`
250×	`associate-+l+_binary64`
242×	`times-frac_binary64`

Counts

116 → 206

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	4985
1	1313	4737
2	5409	4737

prune172.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	265	3	268

Error

Counts

268 → 3

Alt Table

Status	Error	Program
▶	0.8b	(-.f64 -1 x)
✓	0.0b	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

Compiler

Compiled 7290 to 4811 computations (34% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	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
✓	0.8b	(-.f64 -1 x)
✓	0.0b	(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes24.0ms (0.3%)

Accuracy

Total 0.0b remaining (71.8%)

Threshold costs 0.0b (71.8%)

Compiler

Compiled 239 to 171 computations (28.5% saved)

simplify4.0ms (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	8	13
1	13	13
2	15	13
3	16	13
4	15	13

end0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample4.7s (62.9%)

Algorithm

1×

intervals

Results

2.8s	4004×	body	1024	valid
709.0ms	2014×	body	512	valid
372.0ms	405×	body	2048	valid
187.0ms	994×	body	256	valid
159.0ms	8000×	pre	128	true
46.0ms	583×	body	128	valid

Compiler

Compiled 50 to 39 computations (22% saved)

Details

analyze1.7s (22.9%)

sample144.0ms (1.9%)

simplify11.0ms (0.1%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

rewrite4.0ms (0.1%)

series19.0ms (0.3%)

simplify58.0ms (0.8%)

prune43.0ms (0.6%)

localize6.0ms (0.1%)

rewrite15.0ms (0.2%)

series38.0ms (0.5%)

simplify153.0ms (2%)

prune117.0ms (1.6%)

localize7.0ms (0.1%)

rewrite13.0ms (0.2%)

series100.0ms (1.3%)

simplify116.0ms (1.5%)

prune172.0ms (2.3%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

regimes24.0ms (0.3%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.7s (62.9%)

Profiling