Details

analyze5.0ms (0.1%)

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%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample121.0ms (3.4%)

Algorithm

1×

intervals

Results

35.0ms	123×	body	1024	valid
10.0ms	61×	body	512	valid
4.0ms	14×	body	2048	valid
2.0ms	26×	body	256	valid
1.0ms	32×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
510×	`associate-/l*_binary64`
467×	`div-sub_binary64`
425×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	33	13
3	57	13
4	112	13
5	224	13
6	514	13
7	1303	13
8	3047	12
9	4469	12
10	4859	12

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

56.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	56.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

3.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`prod-diff_binary64`
9×	`add-cube-cbrt_binary64`
3×	`cancel-sign-sub-inv_binary64`

Counts

1 → 31

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
326×	`unsub-neg_binary64`
325×	`distribute-rgt-in_binary64`
287×	`associate-/r*_binary64`
265×	`associate-l_binary64`

Counts

39 → 49

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	629
1	175	535
2	491	470
3	1944	470
4	3994	468
5	4786	468
6	4810	468

prune25.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

0.0b

Counts

50 → 3

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
	1.0b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))) 2)
✓	56.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 993 to 388 computations (60.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

series8.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

8.0ms

(sinh.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 → 10

Calls

1 calls:

1.0ms

(sinh.f64 x)

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

738×	`div-sub_binary64`
465×	`times-frac_binary64`
453×	`associate-l_binary64`
349×	`fma-def_binary64`
331×	`associate-r_binary64`

Counts

22 → 20

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	220
1	79	213
2	179	205
3	396	205
4	843	205
5	2533	205
6	4634	205
7	5567	205

prune16.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	19	4	23

Error

Counts

23 → 4

Alt Table

Status	Error	Program
	1.5b	(/.f64 (.f64 2 (.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))) 2)
▶	1.1b	(/.f64 (*.f64 2 (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	56.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 315 to 231 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/6 (pow.f64 x 3) x)
✓	0.0b	(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))

series7.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))
3.0ms	(fma.f64 1/6 (pow.f64 x 3) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))
0.0ms	(fma.f64 1/6 (pow.f64 x 3) x)

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

622×	`distribute-rgt-in_binary64`
618×	`distribute-lft-in_binary64`
484×	`associate-l_binary64`
426×	`associate-r_binary64`
400×	`unswap-sqr_binary64`

Counts

44 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	566
1	54	518
2	146	518
3	554	518
4	3054	518
5	3713	518
6	4901	518
7	4974	518
8	4863	518

prune23.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	31	4	35

Error

Counts

35 → 4

Alt Table

Status	Error	Program
▶	1.5b	(/.f64 (.f64 2 (.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))) 2)
✓	1.1b	(/.f64 (*.f64 2 (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	56.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 644 to 515 computations (20% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))
✓	0.5b	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
✓	0.6b	(cbrt.f64 (sinh.f64 x))

series804.0ms (22.6%)

Counts

3 → 36

Calls

3 calls:

479.0ms	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
316.0ms	(cbrt.f64 (sinh.f64 x))
9.0ms	(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
17×	`cbrt-div_binary64`
17×	`sinh-def_binary64`

Counts

3 → 104

Calls

3 calls:

8.0ms	(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))
5.0ms	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
1.0ms	(cbrt.f64 (sinh.f64 x))

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-def_binary64`
413×	`associate-l_binary64`
347×	`unswap-sqr_binary64`
319×	`associate-r_binary64`
286×	`associate-/l*_binary64`

Counts

140 → 157

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1928
1	317	1810
2	782	1716
3	2168	1658
4	5034	1658

prune119.0ms (3.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	269	4	273

Error

Counts

273 → 4

Alt Table

Status	Error	Program
✓	1.5b	(/.f64 (.f64 2 (.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))) 2)
✓	1.1b	(/.f64 (*.f64 2 (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	56.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 5519 to 2519 computations (54.4% saved)

regimes60.0ms (1.7%)

Accuracy

Total 0.0b remaining (77.6%)

Threshold costs 0.0b (77.6%)

Counts

23 → 1

Compiler

Compiled 1101 to 797 computations (27.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end0.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample1.9s (54.6%)

Algorithm

1×

intervals

Results

1.1s	3979×	body	1024	valid
302.0ms	2014×	body	512	valid
137.0ms	418×	body	2048	valid
90.0ms	961×	body	256	valid
30.0ms	628×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 66 to 50 computations (24.2% saved)

Details

analyze5.0ms (0.1%)

sample121.0ms (3.4%)

simplify55.0ms (1.5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite6.0ms (0.2%)

simplify81.0ms (2.3%)

prune25.0ms (0.7%)

localize5.0ms (0.1%)

series8.0ms (0.2%)

rewrite1.0ms (0%)

simplify55.0ms (1.6%)

prune16.0ms (0.5%)

localize9.0ms (0.2%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify91.0ms (2.5%)

prune23.0ms (0.7%)

localize8.0ms (0.2%)

series804.0ms (22.6%)

rewrite21.0ms (0.6%)

simplify81.0ms (2.3%)

prune119.0ms (3.3%)

regimes60.0ms (1.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (54.6%)

Profiling