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)

sample124.0ms (3.7%)

Algorithm

1×

intervals

Results

35.0ms	119×	body	1024	valid
10.0ms	70×	body	512	valid
4.0ms	39×	body	256	valid
3.0ms	10×	body	2048	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify59.0ms (1.8%)

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

58.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	58.8b	(/.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
✓	5.9b	(-.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)))

rewrite7.0ms (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:

4.0ms

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

simplify76.0ms (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

prune23.0ms (0.7%)

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
	58.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Status

Error

Program

58.8b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)

▶

0.0b

(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 1010 to 381 computations (62.3% saved)

localize4.0ms (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)

rewrite2.0ms (0.1%)

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:

2.0ms

(sinh.f64 x)

simplify57.0ms (1.7%)

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

prune10.0ms (0.3%)

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
▶	58.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Status

Error

Program

▶

58.8b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)

✓

0.0b

(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 310 to 214 computations (31% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 x) (exp.f64 x))
✓	0.0b	(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
✓	0.0b	(pow.f64 (exp.f64 (neg.f64 x)) 3)
✓	5.9b	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))

series26.0ms (0.8%)

Counts

4 → 40

Calls

4 calls:

12.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
6.0ms	(pow.f64 (exp.f64 (neg.f64 x)) 3)
5.0ms	(*.f64 (exp.f64 x) (exp.f64 x))
3.0ms	(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))

rewrite63.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`add-sqr-sqrt_binary64`
144×	`*-un-lft-identity_binary64`
144×	`prod-diff_binary64`
120×	`add-cube-cbrt_binary64`
104×	`exp-prod_binary64`

Counts

4 → 350

Calls

4 calls:

12.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
12.0ms	(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
5.0ms	(*.f64 (exp.f64 x) (exp.f64 x))
3.0ms	(pow.f64 (exp.f64 (neg.f64 x)) 3)

simplify237.0ms (7%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-neg_binary64`
488×	`exp-prod_binary64`
404×	`log-prod_binary64`
351×	`cancel-sign-sub-inv_binary64`
229×	`cube-prod_binary64`

Counts

390 → 360

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	344	8075
1	573	5810
2	2098	4553
3	3383	4476
4	4764	4476
5	4853	4476

prune207.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	360	0	360
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	360	2	362

Error

Counts

362 → 2

Alt Table

Status	Error	Program
✓	58.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Status

Error

Program

✓

58.8b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)

✓

0.0b

(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 16779 to 5726 computations (65.9% saved)

regimes50.0ms (1.5%)

Accuracy

Total 0.0b remaining (7.6%)

Threshold costs 0.0b (7.6%)

Counts

16 → 1

Compiler

Compiled 1284 to 779 computations (39.3% 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)

sample2.4s (70.8%)

Algorithm

1×

intervals

Results

1.4s	3978×	body	1024	valid
313.0ms	1970×	body	512	valid
144.0ms	1023×	body	256	valid
122.0ms	381×	body	2048	valid
30.0ms	648×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 59 to 38 computations (35.6% saved)

Details

analyze5.0ms (0.1%)

sample124.0ms (3.7%)

simplify59.0ms (1.8%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite7.0ms (0.2%)

simplify76.0ms (2.3%)

prune23.0ms (0.7%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite2.0ms (0.1%)

simplify57.0ms (1.7%)

prune10.0ms (0.3%)

localize16.0ms (0.5%)

series26.0ms (0.8%)

rewrite63.0ms (1.9%)

simplify237.0ms (7%)

prune207.0ms (6.1%)

regimes50.0ms (1.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.4s (70.8%)

Profiling