Details

analyze19.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample3.1s (82.8%)

Results

2.0s	4044×	body	1024	valid
600.0ms	2044×	body	512	valid
227.0ms	424×	body	2048	valid
185.0ms	950×	body	256	valid
89.0ms	794×	body	128	valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

preprocess33.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
464×	`times-frac_binary64`
264×	`associate-l_binary64`
226×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	878	22
7	2569	22
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 14 to 7 computations (50% saved)

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
464×	`times-frac_binary64`
264×	`associate-l_binary64`
226×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	878	22
7	2569	22

Stop Event

1×	node limit

Counts

1 → 1

prune2.0ms (0%)

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

58.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	58.4b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 42 to 21 computations (50% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	4.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series18.0ms (0.5%)

Counts

3 → 24

Calls

9 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))	x	inf
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))	x	-inf
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))	x	0
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))	x	0
1.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))	x	0

rewrite107.0ms (2.9%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

97×	`add-sqr-sqrt_binary64`
97×	`add-sqr-sqrt_binary64`
92×	`log1p-expm1-u_binary64`
92×	`expm1-log1p-u_binary64`
92×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	186	18
2	3662	18
0	6	6
1	130	6
2	2131	6
0	6	6
0	8	3
1	186	3
2	3662	3
0	8	3
0	6	6
1	129	6
2	2130	6
0	6	6

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 37

simplify31.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-def_binary64`
695×	`fma-neg_binary64`
507×	`unswap-sqr_binary64`
471×	`associate-l_binary64`
377×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	321
1	138	317
2	352	311
3	1114	309
4	3894	309

Stop Event

1×	node limit

Counts

61 → 64

prune36.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

Counts

65 → 2

Alt Table

Status	Error	Program
	1.0b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	0.0b	(tanh.f64 x)

Compiler

Compiled 962 to 421 computations (56.2% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)

series20.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

10.0ms	(tanh.f64 x)	x	inf
9.0ms	(tanh.f64 x)	x	-inf
1.0ms	(tanh.f64 x)	x	0

rewrite29.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`log1p-expm1-u_binary64`
435×	`expm1-log1p-u_binary64`
373×	`pow1_binary64`
202×	`unpow-prod-down_binary64`
186×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	75	3
2	1087	3

Stop Event

1×	node limit

Counts

1 → 52

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
367×	`cancel-sign-sub-inv_binary64`
299×	`distribute-lft-neg-in_binary64`
281×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	228
1	73	228
2	179	224
3	535	222
4	1589	222
5	3314	222
6	4744	222

Stop Event

1×	node limit

Counts

64 → 61

prune25.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Error

Counts

63 → 2

Alt Table

Status	Error	Program
✓	0.0b	(tanh.f64 x)
▶	1.0b	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))

Compiler

Compiled 625 to 397 computations (36.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	1.0b	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))

series37.0ms (1%)

Counts

2 → 24

Calls

6 calls:

14.0ms	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))	x	-inf
13.0ms	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))	x	inf
5.0ms	(sinh.f64 x)	x	-inf
3.0ms	(sinh.f64 x)	x	inf
1.0ms	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))	x	0

rewrite47.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
88×	`egg-rr`
84×	`add-sqr-sqrt_binary64`
80×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	177	11
2	2393	11

Stop Event

1×	node limit

Counts

2 → 88

simplify34.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-neg_binary64`
468×	`fma-def_binary64`
406×	`distribute-rgt-neg-in_binary64`
367×	`cancel-sign-sub-inv_binary64`
301×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	378
1	103	378
2	271	366
3	807	364
4	2108	364
5	3928	364

Stop Event

1×	node limit

Counts

112 → 105

prune49.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Error

Counts

107 → 2

Alt Table

Status	Error	Program
✓	0.0b	(tanh.f64 x)
✓	1.0b	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))

Compiler

Compiled 1378 to 805 computations (41.6% saved)

regimes43.0ms (1.1%)

Accuracy

Total 0.0b remaining (73.5%)

Threshold costs 0.0b (73.5%)

Counts

29 → 1

Compiler

Compiled 624 to 448 computations (28.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×

saturated

end33.0ms (0.9%)

Stop Event

1×

done

Compiler

Compiled 19 to 14 computations (26.3% saved)

Details

analyze19.0ms (0.5%)

sample3.1s (82.8%)

preprocess33.0ms (0.9%)

simplify23.0ms (0.6%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series18.0ms (0.5%)

rewrite107.0ms (2.9%)

simplify31.0ms (0.8%)

prune36.0ms (1%)

localize2.0ms (0%)

series20.0ms (0.5%)

rewrite29.0ms (0.8%)

simplify39.0ms (1%)

prune25.0ms (0.7%)

localize6.0ms (0.2%)

series37.0ms (1%)

rewrite47.0ms (1.3%)

simplify34.0ms (0.9%)

prune49.0ms (1.3%)

regimes43.0ms (1.1%)

simplify2.0ms (0%)

end33.0ms (0.9%)

Profiling