Details

analyze6.0ms (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)

sample2.9s (84.2%)

Results

1.8s	4090×	body	1024	valid
571.0ms	2052×	body	512	valid
226.0ms	446×	body	2048	valid
185.0ms	1006×	body	256	valid
70.0ms	662×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify60.0ms (1.7%)

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

57.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	57.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series2.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

2.0ms

(-.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)))

simplify78.0ms (2.2%)

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

prune27.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
	0.7b	(/.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)

Compiler

Compiled 984 to 381 computations (61.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

series9.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

9.0ms

(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)

simplify65.0ms (1.9%)

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 (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Error

Counts

22 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	0.7b	(/.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)

Compiler

Compiled 284 to 214 computations (24.6% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(*.f64 1/3 (pow.f64 x 3))
0.0ms	(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))

simplify96.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

541×	`associate-l_binary64`
505×	`associate-r_binary64`
426×	`log-prod_binary64`
346×	`exp-prod_binary64`
345×	`swap-sqr_binary64`

Counts

55 → 54

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	631
1	124	568
2	338	567
3	1828	567
4	3510	537
5	4566	537
6	4953	537
7	4986	537

prune50.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Error

Counts

56 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	0.7b	(/.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)

Compiler

Compiled 1384 to 1108 computations (19.9% saved)

regimes50.0ms (1.4%)

Accuracy

Total 0.0b remaining (56.1%)

Threshold costs 0.0b (56.1%)

Counts

18 → 1

Compiler

Compiled 942 to 650 computations (31% 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

end51.0ms (1.4%)

Compiler: Compiled 42 to 35 computations (16.7% saved)

Details

analyze6.0ms (0.2%)

sample2.9s (84.2%)

simplify60.0ms (1.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite6.0ms (0.2%)

simplify78.0ms (2.2%)

prune27.0ms (0.8%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite1.0ms (0%)

simplify65.0ms (1.9%)

prune15.0ms (0.4%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite6.0ms (0.2%)

simplify96.0ms (2.7%)

prune50.0ms (1.4%)

regimes50.0ms (1.4%)

simplify2.0ms (0.1%)

end51.0ms (1.4%)

Profiling