Details

analyze1.0ms (0.1%)

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)

sample833.0ms (61.4%)

Results

725.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify85.0ms (6.3%)

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

prune2.0ms (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)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series15.0ms (1.1%)

Counts

2 → 16

Calls

2 calls:

13.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

5.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify77.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-neg_binary64`
684×	`fma-def_binary64`
548×	`associate-l_binary64`
292×	`times-frac_binary64`
257×	`distribute-rgt-in_binary64`

Counts

73 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1210
1	248	1114
2	549	1101
3	1241	1099
4	4205	1099
5	4980	1099

prune61.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	3	106

Error

Counts

106 → 3

Alt Table

Status	Error	Program
▶	0.0b	(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
	30.2b	(fma.f64 x (*.f64 x -1/2) 1)
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 1617 to 675 computations (58.3% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

series13.0ms (0.9%)

Counts

1 → 12

Calls

1 calls:

12.0ms

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

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 11

Calls

1 calls:

0.0ms

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

simplify77.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-neg_binary64`
398×	`distribute-rgt-neg-in_binary64`
343×	`distribute-lft-neg-in_binary64`
288×	`unswap-sqr_binary64`
238×	`associate-l_binary64`

Counts

23 → 26

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	353
1	79	326
2	170	322
3	444	320
4	1531	320
5	4543	320
6	4981	320
7	4920	320

prune79.0ms (5.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

Counts

134 → 3

Alt Table

Status	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
▶	30.2b	(fma.f64 x (*.f64 x -1/2) 1)
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 2180 to 1066 computations (51.1% saved)

localize3.0ms (0.3%)

prune2.0ms (0.1%)

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	(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
✓	30.2b	(fma.f64 x (*.f64 x -1/2) 1)
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes31.0ms (2.3%)

Accuracy

Total 0.0b remaining (65.9%)

Threshold costs 0.0b (65.9%)

Counts

15 → 1

Compiler

Compiled 333 to 278 computations (16.5% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-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	10	17
1	15	17
2	17	17
3	18	17
4	18	17

end48.0ms (3.5%)

Compiler: Compiled 49 to 39 computations (20.4% saved)

Details

analyze1.0ms (0.1%)

sample833.0ms (61.4%)

simplify85.0ms (6.3%)

prune2.0ms (0.1%)

localize6.0ms (0.4%)

series15.0ms (1.1%)

rewrite11.0ms (0.8%)

simplify77.0ms (5.7%)

prune61.0ms (4.5%)

localize9.0ms (0.7%)

series13.0ms (0.9%)

rewrite1.0ms (0.1%)

simplify77.0ms (5.7%)

prune79.0ms (5.8%)

localize3.0ms (0.3%)

prune2.0ms (0.1%)

regimes31.0ms (2.3%)

simplify2.0ms (0.2%)

end48.0ms (3.5%)

Profiling