Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample778.0ms (49.2%)

Results

750.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	0.0b	(/.f64 1 (-.f64 x 1))

series5.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
2.0ms	(/.f64 1 (-.f64 x 1))

rewrite35.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
50×	`times-frac_binary64`
27×	`fma-def_binary64`
25×	`add-cube-cbrt_binary64`

Counts

2 → 98

Calls

2 calls:

23.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
5.0ms	(/.f64 1 (-.f64 x 1))

simplify103.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

478×	`fma-neg_binary64`
432×	`cancel-sign-sub-inv_binary64`
341×	`distribute-rgt-in_binary64`
288×	`fma-def_binary64`
234×	`associate-/l/_binary64`

Counts

122 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1383
1	305	1326
2	780	1317
3	2339	1313
4	4560	1313
5	4949	1313
6	4938	1313

prune93.0ms (5.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Error

Counts

138 → 3

Alt Table

Status	Error	Program
	30.5b	(fma.f64 x (*.f64 x -2) -1)
	50.0b	(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
▶	0.0b	(+.f64 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1)))) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 2547 to 1935 computations (24% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (/.f64 1 (-.f64 x 1)))
✓	0.0b	(+.f64 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1)))) (/.f64 x (+.f64 x 1)))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))
	0.0b	(/.f64 1 (-.f64 x 1))

series8.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

3.0ms	(+.f64 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1)))) (/.f64 x (+.f64 x 1)))
3.0ms	(expm1.f64 (/.f64 1 (-.f64 x 1)))
2.0ms	(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
4×	`log1p-expm1-u_binary64`

Counts

3 → 40

Calls

3 calls:

8.0ms	(+.f64 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1)))) (/.f64 x (+.f64 x 1)))
0.0ms	(expm1.f64 (/.f64 1 (-.f64 x 1)))
0.0ms	(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))

simplify76.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-neg_binary64`
328×	`fma-def_binary64`
322×	`distribute-rgt-in_binary64`
317×	`times-frac_binary64`
187×	`sub-neg_binary64`

Counts

76 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1190
1	327	1121
2	907	1102
3	2512	1092
4	4666	1092
5	4939	1092

prune118.0ms (7.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	184	3	187

Error

Counts

187 → 3

Alt Table

Status	Error	Program
▶	30.5b	(fma.f64 x (*.f64 x -2) -1)
	50.0b	(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
✓	0.0b	(+.f64 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1)))) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 3538 to 2761 computations (22% saved)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

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

Counts

3 → 3

Alt Table

Status	Error	Program
✓	30.5b	(fma.f64 x (*.f64 x -2) -1)
▶	50.0b	(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
✓	0.0b	(+.f64 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1)))) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 47 to 36 computations (23.4% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
✓	1.3b	(exp.f64 (neg.f64 (log.f64 (+.f64 -1 x))))

series9.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
4.0ms	(exp.f64 (neg.f64 (log.f64 (+.f64 -1 x))))

rewrite18.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`exp-prod_binary64`
8×	`exp-sum_binary64`
8×	`distribute-neg-in_binary64`
8×	`log-prod_binary64`

Counts

2 → 52

Calls

2 calls:

12.0ms	(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
3.0ms	(exp.f64 (neg.f64 (log.f64 (+.f64 -1 x))))

simplify119.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-+l+_binary64`
396×	`fma-def_binary64`
373×	`associate-+r+_binary64`
288×	`unsub-neg_binary64`
233×	`+-commutative_binary64`

Counts

76 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1147
1	382	980
2	1011	938
3	3199	905
4	4374	905
5	4958	905
6	4999	905
7	4881	905

prune62.0ms (3.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Error

Counts

105 → 3

Alt Table

Status	Error	Program
✓	30.5b	(fma.f64 x (*.f64 x -2) -1)
✓	50.0b	(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))
✓	0.0b	(+.f64 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1)))) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 2052 to 1607 computations (21.7% saved)

regimes44.0ms (2.8%)

Accuracy

Total 0.0b remaining (53.9%)

Threshold costs 0.0b (53.9%)

Counts

26 → 1

Compiler

Compiled 612 to 467 computations (23.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	16	18
2	15	18

end58.0ms (3.7%)

Compiler: Compiled 60 to 46 computations (23.3% saved)

Details

analyze5.0ms (0.3%)

sample778.0ms (49.2%)

simplify6.0ms (0.4%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series5.0ms (0.3%)

rewrite35.0ms (2.2%)

simplify103.0ms (6.5%)

prune93.0ms (5.9%)

localize11.0ms (0.7%)

series8.0ms (0.5%)

rewrite10.0ms (0.7%)

simplify76.0ms (4.8%)

prune118.0ms (7.4%)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

localize8.0ms (0.5%)

series9.0ms (0.6%)

rewrite18.0ms (1.1%)

simplify119.0ms (7.5%)

prune62.0ms (3.9%)

regimes44.0ms (2.8%)

simplify2.0ms (0.1%)

end58.0ms (3.7%)

Profiling