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)

sample792.0ms (53.2%)

Results

691.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify82.0ms (5.5%)

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 1 expressions with local error:

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

series13.0ms (0.9%)

Counts

1 → 8

Calls

1 calls:

13.0ms

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

rewrite7.0ms (0.5%)

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:

5.0ms

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

simplify73.0ms (4.9%)

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

prune42.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Error

Counts

71 → 2

Alt Table

Status	Error	Program
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))
	0.0b	(log.f64 (exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

Compiler

Compiled 1150 to 491 computations (57.3% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series47.0ms (3.2%)

Counts

3 → 36

Calls

3 calls:

21.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3)
13.0ms	(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
13.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 3))

rewrite34.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 147

Calls

3 calls:

7.0ms	(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)
7.0ms	(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

simplify100.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-*l/_binary64`
354×	`times-frac_binary64`
287×	`associate-/l*_binary64`
273×	`associate-/r*_binary64`
207×	`unswap-sqr_binary64`

Counts

183 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	4239
1	491	3789
2	1417	3683
3	4970	3683

prune113.0ms (7.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	171	2	173

Error

Counts

173 → 2

Alt Table

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

Compiler

Compiled 3430 to 1747 computations (49.1% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

prune47.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Error

Counts

72 → 2

Alt Table

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

Compiler

Compiled 1267 to 612 computations (51.7% saved)

regimes64.0ms (4.3%)

Accuracy

Total 0.0b remaining (6.1%)

Threshold costs 0.0b (6.1%)

Counts

24 → 1

Compiler

Compiled 834 to 646 computations (22.5% saved)

simplify2.0ms (0.1%)

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

end50.0ms (3.3%)

Compiler: Compiled 47 to 39 computations (17% saved)

Details

analyze1.0ms (0.1%)

sample792.0ms (53.2%)

simplify82.0ms (5.5%)

prune2.0ms (0.1%)

localize6.0ms (0.4%)

series13.0ms (0.9%)

rewrite7.0ms (0.5%)

simplify73.0ms (4.9%)

prune42.0ms (2.8%)

localize7.0ms (0.5%)

series47.0ms (3.2%)

rewrite34.0ms (2.3%)

simplify100.0ms (6.7%)

prune113.0ms (7.6%)

localize8.0ms (0.5%)

prune47.0ms (3.1%)

regimes64.0ms (4.3%)

simplify2.0ms (0.1%)

end50.0ms (3.3%)

Profiling