Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample4.8s (81%)

Results

2.4s	4009×	body	1024	valid
905.0ms	8115×	body	128	invalid
688.0ms	1985×	body	512	valid
294.0ms	424×	body	2048	valid
246.0ms	1035×	body	256	valid
97.0ms	803×	body	128	valid

Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify107.0ms (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

prune3.0ms (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

57.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	57.8b	(/.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 (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	7.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series20.0ms (0.3%)

Counts

2 → 16

Calls

2 calls:

17.0ms	(/.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)))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`

Counts

2 → 92

Calls

2 calls:

17.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify214.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

436×	`fma-def_binary64`
418×	`associate-l_binary64`
364×	`associate-r_binary64`
322×	`times-frac_binary64`
220×	`fma-neg_binary64`

Counts

108 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2760
1	382	2556
2	1145	2481
3	4347	2481
4	4881	2481

prune192.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	2	124

Error

Counts

124 → 2

Alt Table

Status	Error	Program
	0.3b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	0.0b	(tanh.f64 x)

Compiler

Compiled 2826 to 590 computations (79.1% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)

series31.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

31.0ms

(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)

simplify69.0ms (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

prune13.0ms (0.2%)

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
▶	0.3b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 224 to 140 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	0.3b	(/.f64 (sinh.f64 x) (cosh.f64 x))

series75.0ms (1.3%)

Counts

2 → 24

Calls

2 calls:

59.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
16.0ms	(sinh.f64 x)

rewrite11.0ms (0.2%)

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:

5.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

simplify149.0ms (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

prune28.0ms (0.5%)

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
✓	0.3b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 727 to 281 computations (61.3% saved)

regimes85.0ms (1.4%)

Accuracy

Total 0.0b remaining (74.8%)

Threshold costs 0.0b (74.8%)

Counts

20 → 1

Compiler

Compiled 784 to 464 computations (40.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end63.0ms (1.1%)

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

Details

analyze1.0ms (0%)

sample4.8s (81%)

simplify107.0ms (1.8%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

series20.0ms (0.3%)

rewrite37.0ms (0.6%)

simplify214.0ms (3.6%)

prune192.0ms (3.2%)

localize2.0ms (0%)

series31.0ms (0.5%)

rewrite1.0ms (0%)

simplify69.0ms (1.2%)

prune13.0ms (0.2%)

localize7.0ms (0.1%)

series75.0ms (1.3%)

rewrite11.0ms (0.2%)

simplify149.0ms (2.5%)

prune28.0ms (0.5%)

regimes85.0ms (1.4%)

simplify3.0ms (0.1%)

end63.0ms (1.1%)

Profiling