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)

sample3.3s (84.5%)

Results

2.0s	4023×	body	1024	valid
607.0ms	2036×	body	512	valid
275.0ms	394×	body	2048	valid
227.0ms	1016×	body	256	valid
87.0ms	787×	body	128	valid

Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
658×	`unswap-sqr_binary64`
478×	`fma-neg_binary64`
464×	`times-frac_binary64`
388×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	58	22
4	125	22
5	288	22
6	624	22
7	1577	22
8	3798	22
9	4553	22
10	5023	22

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

58.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	58.5b	(/.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)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	6.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series19.0ms (0.5%)

Counts

3 → 24

Calls

3 calls:

14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64`
39×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`

Counts

3 → 110

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify112.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-def_binary64`
473×	`associate-l_binary64`
370×	`fma-neg_binary64`
327×	`times-frac_binary64`
203×	`associate-/l*_binary64`

Counts

134 → 152

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3081
1	434	2840
2	1282	2757
3	4252	2757
4	4850	2757

prune53.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	2	153

Error

Counts

153 → 2

Alt Table

Status	Error	Program
▶	0.0b	(tanh.f64 x)
	1.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 3354 to 718 computations (78.6% saved)

localize1.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)

series22.0ms (0.6%)

Counts

1 → 12

Calls

1 calls:

22.0ms

(tanh.f64 x)

rewrite1.0ms (0%)

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 → 12

Calls

1 calls:

1.0ms

(tanh.f64 x)

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

748×	`times-frac_binary64`
602×	`fma-neg_binary64`
330×	`fma-def_binary64`
236×	`distribute-rgt-in_binary64`
234×	`distribute-lft-in_binary64`

Counts

24 → 24

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	189
1	111	182
2	266	178
3	751	175
4	3049	175
5	4950	175
6	5000	175

prune11.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

Counts

26 → 2

Alt Table

Status	Error	Program
✓	0.0b	(tanh.f64 x)
▶	1.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 224 to 140 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	1.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

series39.0ms (1%)

Counts

2 → 24

Calls

2 calls:

30.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
8.0ms	(sinh.f64 x)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 41

Calls

2 calls:

3.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

676×	`associate-/l/_binary64`
520×	`fma-def_binary64`
515×	`times-frac_binary64`
352×	`associate-/r/_binary64`
242×	`cancel-sign-sub-inv_binary64`

Counts

65 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	936
1	198	895
2	518	883
3	1423	751
4	4125	751
5	4893	751
6	4996	751
7	4884	751

prune24.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

65 → 2

Alt Table

Status	Error	Program
✓	0.0b	(tanh.f64 x)
✓	1.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 727 to 281 computations (61.3% saved)

regimes20.0ms (0.5%)

Accuracy

Total 0.0b remaining (73.3%)

Threshold costs 0.0b (73.3%)

Counts

10 → 1

Compiler

Compiled 224 to 150 computations (33% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end32.0ms (0.8%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

Details

analyze19.0ms (0.5%)

sample3.3s (84.5%)

simplify65.0ms (1.6%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series19.0ms (0.5%)

rewrite26.0ms (0.7%)

simplify112.0ms (2.9%)

prune53.0ms (1.4%)

localize1.0ms (0%)

series22.0ms (0.6%)

rewrite1.0ms (0%)

simplify49.0ms (1.2%)

prune11.0ms (0.3%)

localize4.0ms (0.1%)

series39.0ms (1%)

rewrite5.0ms (0.1%)

simplify96.0ms (2.5%)

prune24.0ms (0.6%)

regimes20.0ms (0.5%)

simplify2.0ms (0%)

end32.0ms (0.8%)

Profiling