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 (82.2%)

Results

1.8s	4066×	body	1024	valid
544.0ms	1982×	body	512	valid
249.0ms	391×	body	2048	valid
194.0ms	1019×	body	256	valid
84.0ms	798×	body	128	valid

Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify71.0ms (1.9%)

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

57.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	57.3b	(/.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)))

series20.0ms (0.5%)

Counts

3 → 24

Calls

3 calls:

15.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite25.0ms (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)))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify111.0ms (3%)

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

prune60.0ms (1.7%)

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)
	1.3b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 3366 to 728 computations (78.4% saved)

localize1.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)

series20.0ms (0.6%)

Counts

1 → 12

Calls

1 calls:

20.0ms

(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)

simplify51.0ms (1.4%)

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)
▶	1.3b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 236 to 150 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.2b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series31.0ms (0.9%)

Counts

2 → 24

Calls

2 calls:

23.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
8.0ms	(sinh.f64 x)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`
5×	`times-frac_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	(sinh.f64 x)

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
341×	`div-sub_binary64`
304×	`associate-/l*_binary64`
268×	`times-frac_binary64`
213×	`associate-*l/_binary64`

Counts

64 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1155
1	279	887
2	872	869
3	3182	867
4	4966	867

prune57.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Error

Counts

106 → 2

Alt Table

Status	Error	Program
✓	0.0b	(tanh.f64 x)
✓	1.3b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 1713 to 659 computations (61.5% saved)

regimes54.0ms (1.5%)

Accuracy

Total 0.0b remaining (69.6%)

Threshold costs 0.0b (69.6%)

Counts

33 → 1

Compiler

Compiled 1016 to 592 computations (41.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end35.0ms (1%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

Details

analyze19.0ms (0.5%)

sample3.0s (82.2%)

simplify71.0ms (1.9%)

prune2.0ms (0%)

localize6.0ms (0.2%)

series20.0ms (0.5%)

rewrite25.0ms (0.7%)

simplify111.0ms (3%)

prune60.0ms (1.7%)

localize1.0ms (0%)

series20.0ms (0.6%)

rewrite1.0ms (0%)

simplify51.0ms (1.4%)

prune11.0ms (0.3%)

localize7.0ms (0.2%)

series31.0ms (0.9%)

rewrite9.0ms (0.2%)

simplify56.0ms (1.5%)

prune57.0ms (1.6%)

regimes54.0ms (1.5%)

simplify2.0ms (0%)

end35.0ms (1%)

Profiling