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)

sample3.0s (83.9%)

Results

1.9s	4067×	body	1024	valid
581.0ms	2009×	body	512	valid
212.0ms	430×	body	2048	valid
200.0ms	957×	body	256	valid
81.0ms	793×	body	128	valid

Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify66.0ms (1.8%)

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 (0.1%)

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

58.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	58.6b	(/.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)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.2b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	6.3b	(-.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)))

rewrite24.0ms (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:

9.0ms	(/.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)))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify144.0ms (4%)

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

prune55.0ms (1.5%)

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)
	1.2b	(/.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:

21.0ms

(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)

simplify48.0ms (1.3%)

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)
▶	1.2b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 224 to 140 computations (37.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.2b	(/.f64 (sinh.f64 x) (cosh.f64 x))

series31.0ms (0.9%)

Counts

1 → 12

Calls

1 calls:

31.0ms

(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (sinh.f64 x) (cosh.f64 x))

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-def_binary64`
676×	`associate-/l/_binary64`
515×	`times-frac_binary64`
419×	`associate-/l*_binary64`
352×	`associate-/r/_binary64`

Counts

43 → 44

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	716
1	165	682
2	424	678
3	1195	546
4	4075	546
5	5037	546

prune18.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
✓	0.0b	(tanh.f64 x)
✓	1.2b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 517 to 180 computations (65.2% saved)

regimes19.0ms (0.5%)

Accuracy

Total 0.0b remaining (69.5%)

Threshold costs 0.0b (69.5%)

Counts

10 → 1

Compiler

Compiled 224 to 150 computations (33% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end31.0ms (0.9%)

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

Details

analyze19.0ms (0.5%)

sample3.0s (83.9%)

simplify66.0ms (1.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series19.0ms (0.5%)

rewrite24.0ms (0.7%)

simplify144.0ms (4%)

prune55.0ms (1.5%)

localize1.0ms (0%)

series22.0ms (0.6%)

rewrite1.0ms (0%)

simplify48.0ms (1.3%)

prune11.0ms (0.3%)

localize3.0ms (0.1%)

series31.0ms (0.9%)

rewrite4.0ms (0.1%)

simplify55.0ms (1.5%)

prune18.0ms (0.5%)

regimes19.0ms (0.5%)

simplify2.0ms (0.1%)

end31.0ms (0.9%)

Profiling