Details

analyze5.0ms (0.2%)

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 (4.3%)

Algorithm

1×

intervals

Results

32.0ms	113×	body	1024	valid
11.0ms	65×	body	512	valid
4.0ms	15×	body	2048	valid
4.0ms	39×	body	256	valid
1.0ms	24×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify56.0ms (2%)

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

57.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	57.4b	(/.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 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 x))
✓	7.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series4.0ms (0.1%)

Counts

2 → 16

Calls

2 calls:

2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(exp.f64 (neg.f64 x))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
10×	`exp-prod_binary64`
9×	`prod-diff_binary64`

Counts

2 → 54

Calls

2 calls:

4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(exp.f64 (neg.f64 x))

simplify105.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-neg_binary64`
383×	`cancel-sign-sub-inv_binary64`
284×	`associate-l_binary64`
284×	`fma-def_binary64`
244×	`unswap-sqr_binary64`

Counts

70 → 81

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	830
1	233	730
2	640	663
3	2484	662
4	3741	652
5	4738	652
6	4975	652
7	4782	652

prune36.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	3	82

Error

Counts

82 → 3

Alt Table

Status	Error	Program
	57.4b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
	0.9b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)

Compiler

Compiled 1384 to 589 computations (57.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

series8.0ms (0.3%)

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)

simplify58.0ms (2.1%)

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

prune15.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

Counts

23 → 3

Alt Table

Status	Error	Program
	38.4b	(/.f64 (*.f64 2 (cbrt.f64 (pow.f64 (sinh.f64 x) 3))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	0.9b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)

Compiler

Compiled 294 to 224 computations (23.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
✓	0.0b	(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
✓	0.1b	(*.f64 1/3 (pow.f64 x 3))

series11.0ms (0.4%)

Counts

3 → 24

Calls

3 calls:

4.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
4.0ms	(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
3.0ms	(*.f64 1/3 (pow.f64 x 3))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
8×	`add-exp-log_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 53

Calls

3 calls:

5.0ms	(*.f64 1/3 (pow.f64 x 3))
0.0ms	(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
0.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
659×	`distribute-rgt-in_binary64`
653×	`distribute-lft-in_binary64`
563×	`associate-l_binary64`
526×	`associate-r_binary64`

Counts

77 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1043
1	150	943
2	417	930
3	2195	930
4	5301	930

prune56.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Error

Counts

74 → 3

Alt Table

Status	Error	Program
▶	38.4b	(/.f64 (*.f64 2 (cbrt.f64 (pow.f64 (sinh.f64 x) 3))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	0.9b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)

Compiler

Compiled 1478 to 1184 computations (19.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	0.0b	(pow.f64 (sinh.f64 x) 3)
✓	38.4b	(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

series27.0ms (1%)

Counts

2 → 24

Calls

2 calls:

18.0ms	(pow.f64 (sinh.f64 x) 3)
9.0ms	(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

2 → 50

Calls

2 calls:

2.0ms	(pow.f64 (sinh.f64 x) 3)
2.0ms	(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-def_binary64`
343×	`associate-l_binary64`
301×	`distribute-rgt-in_binary64`
293×	`distribute-lft-in_binary64`
270×	`associate-r_binary64`

Counts

74 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	755
1	193	728
2	526	704
3	1954	704
4	4960	704
5	4890	704

prune47.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Error

Counts

100 → 3

Alt Table

Status	Error	Program
✓	38.4b	(/.f64 (*.f64 2 (cbrt.f64 (pow.f64 (sinh.f64 x) 3))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	0.9b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))) 2)

Compiler

Compiled 1401 to 1039 computations (25.8% saved)

regimes41.0ms (1.5%)

Accuracy

Total 0.0b remaining (64.7%)

Threshold costs 0.0b (64.7%)

Counts

14 → 1

Compiler

Compiled 596 to 464 computations (22.1% 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)

sample2.0s (72.4%)

Algorithm

1×

intervals

Results

1.2s	3911×	body	1024	valid
356.0ms	2023×	body	512	valid
141.0ms	448×	body	2048	valid
90.0ms	972×	body	256	valid
30.0ms	646×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 51 to 43 computations (15.7% saved)

Details

analyze5.0ms (0.2%)

sample121.0ms (4.3%)

simplify56.0ms (2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite8.0ms (0.3%)

simplify105.0ms (3.8%)

prune36.0ms (1.3%)

localize4.0ms (0.1%)

series8.0ms (0.3%)

rewrite1.0ms (0%)

simplify58.0ms (2.1%)

prune15.0ms (0.5%)

localize9.0ms (0.3%)

series11.0ms (0.4%)

rewrite7.0ms (0.3%)

simplify59.0ms (2.1%)

prune56.0ms (2%)

localize6.0ms (0.2%)

series27.0ms (1%)

rewrite8.0ms (0.3%)

simplify71.0ms (2.5%)

prune47.0ms (1.7%)

regimes41.0ms (1.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (72.4%)

Profiling