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 (81.7%)

Results

1.8s	4109×	body	1024	valid
551.0ms	1887×	body	512	valid
208.0ms	401×	body	2048	valid
190.0ms	1030×	body	256	valid
88.0ms	829×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify67.0ms (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

58.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	58.2b	(/.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)))
✓	1.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	5.6b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series19.0ms (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:

8.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify110.0ms (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

prune59.0ms (1.6%)

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)
	1.8b	(/.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)

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)

simplify49.0ms (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

prune10.0ms (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)
▶	1.8b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 224 to 140 computations (37.5% saved)

localize3.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cosh.f64 x)
✓	0.0b	(sinh.f64 x)
✓	1.7b	(/.f64 (sinh.f64 x) (cosh.f64 x))

series47.0ms (1.3%)

Counts

3 → 36

Calls

3 calls:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

2.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(cosh.f64 x)
1.0ms	(sinh.f64 x)

simplify112.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

846×	`fma-def_binary64`
676×	`associate-/l/_binary64`
515×	`times-frac_binary64`
181×	`div-sub_binary64`
179×	`cancel-sign-sub-inv_binary64`

Counts

87 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1158
1	247	1106
2	632	1084
3	1763	928
4	4938	928
5	4985	928
6	4999	928
7	5000	928
8	4897	928

prune34.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Alt Table

Status	Error	Program
✓	0.0b	(tanh.f64 x)
✓	1.8b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 959 to 393 computations (59% saved)

regimes40.0ms (1.1%)

Accuracy

Total 0.0b remaining (60.6%)

Threshold costs 0.0b (60.6%)

Counts

24 → 1

Compiler

Compiled 804 to 480 computations (40.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end33.0ms (0.9%)

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

Details

analyze19.0ms (0.5%)

sample3.0s (81.7%)

simplify67.0ms (1.9%)

prune2.0ms (0%)

localize6.0ms (0.2%)

series19.0ms (0.5%)

rewrite25.0ms (0.7%)

simplify110.0ms (3%)

prune59.0ms (1.6%)

localize1.0ms (0%)

series20.0ms (0.6%)

rewrite1.0ms (0%)

simplify49.0ms (1.3%)

prune10.0ms (0.3%)

localize3.0ms (0.1%)

series47.0ms (1.3%)

rewrite5.0ms (0.1%)

simplify112.0ms (3.1%)

prune34.0ms (0.9%)

regimes40.0ms (1.1%)

simplify2.0ms (0%)

end33.0ms (0.9%)

Profiling