Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.3s (56.6%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify143.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
366×	`fma-neg_binary64`
277×	`*-commutative_binary64`
262×	`exp-prod_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	20	13
3	27	13
4	46	13
5	78	13
6	146	13
7	274	13
8	670	13
9	1896	13
10	2692	13
11	3535	13
12	4713	13
13	4865	13
14	4794	13

prune3.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series26.0ms (1.1%)

Counts

1 → 8

Calls

1 calls:

26.0ms

(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64`

Counts

1 → 39

Calls

1 calls:

11.0ms

(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify141.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

691×	`unswap-sqr_binary64`
480×	`fma-def_binary64`
454×	`associate-l_binary64`
376×	`associate-r_binary64`
217×	`cancel-sign-sub-inv_binary64`

Counts

47 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	889
1	199	830
2	438	824
3	1014	822
4	3652	822
5	5379	822

prune70.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	2	71

Error

Counts

71 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

Compiler

Compiled 1135 to 478 computations (57.9% saved)

localize16.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
✓	0.5b	(expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

series74.0ms (3.2%)

Counts

2 → 24

Calls

2 calls:

41.0ms	(expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
33.0ms	(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log1p-expm1-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

1.0ms	(expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
1.0ms	(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

simplify206.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
633×	`associate-l_binary64`
572×	`cancel-sign-sub-inv_binary64`
486×	`associate-r_binary64`
319×	`fma-neg_binary64`

Counts

46 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	778
1	142	712
2	372	706
3	1080	695
4	4170	695
5	4984	695
6	4989	695
7	4893	695

prune115.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Error

Counts

119 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

Compiler

Compiled 1950 to 987 computations (49.4% saved)

regimes94.0ms (4.1%)

Accuracy

Total 0.0b remaining (11.8%)

Threshold costs 0.0b (11.8%)

Counts

13 → 1

Compiler

Compiled 400 to 335 computations (16.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	10	13
2	10	13

end92.0ms (3.9%)

Compiler: Compiled 38 to 32 computations (15.8% saved)

Details

analyze1.0ms (0%)

sample1.3s (56.6%)

simplify143.0ms (6.1%)

prune3.0ms (0.1%)

localize10.0ms (0.4%)

series26.0ms (1.1%)

rewrite15.0ms (0.7%)

simplify141.0ms (6.1%)

prune70.0ms (3%)

localize16.0ms (0.7%)

series74.0ms (3.2%)

rewrite3.0ms (0.1%)

simplify206.0ms (8.8%)

prune115.0ms (4.9%)

regimes94.0ms (4.1%)

simplify3.0ms (0.1%)

end92.0ms (3.9%)

Profiling