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)

sample810.0ms (52.7%)

Results

708.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify81.0ms (5.2%)

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)

localize7.0ms (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%)

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 (0.7%)

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)))

simplify79.0ms (5.1%)

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

prune63.0ms (4.1%)

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	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	30.5b	(fma.f64 x (*.f64 x -1/2) 1)
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))

Compiler

Compiled 1619 to 677 computations (58.2% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))
✓	0.0b	(pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3)

series54.0ms (3.5%)

Counts

4 → 48

Calls

4 calls:

24.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3)
14.0ms	(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
14.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))
2.0ms	(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

rewrite39.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
48×	`add-sqr-sqrt_binary64`
48×	`add-cube-cbrt_binary64`
42×	`cbrt-prod_binary64`

Counts

4 → 164

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))
7.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3)
6.0ms	(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
4.0ms	(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

simplify114.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-*l/_binary64`
354×	`times-frac_binary64`
287×	`associate-/l*_binary64`
273×	`associate-/r*_binary64`
247×	`fma-def_binary64`

Counts

212 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	4578
1	522	4110
2	1484	3997
3	5078	3997

prune140.0ms (9.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	205	3	208

Error

Counts

208 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	30.5b	(fma.f64 x (*.f64 x -1/2) 1)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))

Compiler

Compiled 3935 to 1968 computations (50% saved)

localize4.0ms (0.2%)

prune4.0ms (0.3%)

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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	30.5b	(fma.f64 x (*.f64 x -1/2) 1)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes46.0ms (3%)

Accuracy

Total 0.0b remaining (91.4%)

Threshold costs 0.0b (91.4%)

Counts

15 → 1

Compiler

Compiled 535 to 398 computations (25.6% saved)

simplify3.0ms (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	11	18
1	16	18
2	18	18
3	19	18
4	19	18

end56.0ms (3.7%)

Compiler: Compiled 52 to 42 computations (19.2% saved)

Details

analyze1.0ms (0.1%)

sample810.0ms (52.7%)

simplify81.0ms (5.2%)

prune2.0ms (0.1%)

localize7.0ms (0.4%)

series15.0ms (1%)

rewrite11.0ms (0.7%)

simplify79.0ms (5.1%)

prune63.0ms (4.1%)

localize10.0ms (0.7%)

series54.0ms (3.5%)

rewrite39.0ms (2.5%)

simplify114.0ms (7.4%)

prune140.0ms (9.1%)

localize4.0ms (0.2%)

prune4.0ms (0.3%)

regimes46.0ms (3%)

simplify3.0ms (0.2%)

end56.0ms (3.7%)

Profiling