Details

analyze65.0ms (1.9%)

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)

sample60.0ms (1.7%)

Algorithm

1×

intervals

Results

34.0ms	127×	body	1024	valid
10.0ms	66×	body	512	valid
5.0ms	37×	body	256	valid
3.0ms	11×	body	2048	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify55.0ms (1.6%)

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

58.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	58.4b	(/.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 1 expressions with local error:

New	Error	Program
✓	5.8b	(-.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:

4.0ms

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

simplify91.0ms (2.6%)

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

prune30.0ms (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

0.0b

Counts

50 → 2

Alt Table

Status	Error	Program
	0.3b	(/.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)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 984 to 381 computations (61.3% saved)

localize3.0ms (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)

simplify56.0ms (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

prune14.0ms (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

0.0b

Counts

22 → 2

Alt Table

Status	Error	Program
▶	0.3b	(/.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)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 284 to 214 computations (24.6% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

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

rewrite7.0ms (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:

5.0ms	(*.f64 1/3 (pow.f64 x 3))
0.0ms	(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)))))

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-def_binary64`
538×	`associate-l_binary64`
503×	`associate-r_binary64`
314×	`associate-+l+_binary64`
305×	`associate-+r+_binary64`

Counts

55 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	877
1	167	786
2	451	773
3	2359	773
4	5013	773

prune66.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Error

Counts

67 → 3

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))) 2)
✓	0.3b	(/.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)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 1650 to 1319 computations (20.1% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))
✓	0.2b	(cbrt.f64 (exp.f64 (pow.f64 x 3)))
✓	1.4b	(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))

series796.0ms (22.8%)

Counts

3 → 36

Calls

3 calls:

549.0ms	(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))
241.0ms	(cbrt.f64 (exp.f64 (pow.f64 x 3)))
5.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 41

Calls

3 calls:

4.0ms	(cbrt.f64 (exp.f64 (pow.f64 x 3)))
2.0ms	(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))
0.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))

simplify87.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
459×	`associate-l_binary64`
445×	`distribute-lft-in_binary64`
445×	`distribute-rgt-in_binary64`
357×	`associate-r_binary64`

Counts

77 → 84

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	1202
1	154	1113
2	330	1095
3	900	1024
4	3538	1012
5	4860	1012
6	5175	1012

prune89.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Error

Counts

87 → 3

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))) 2)
✓	0.3b	(/.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)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 2193 to 1805 computations (17.7% saved)

regimes75.0ms (2.1%)

Accuracy

Total 0.0b remaining (51.7%)

Threshold costs 0.0b (51.7%)

Counts

29 → 1

Compiler

Compiled 1503 to 1042 computations (30.7% 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 (53.9%)

Algorithm

1×

intervals

Results

1.1s	3906×	body	1024	valid
289.0ms	1979×	body	512	valid
125.0ms	412×	body	2048	valid
92.0ms	1029×	body	256	valid
30.0ms	674×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 68 to 56 computations (17.6% saved)

Details

analyze65.0ms (1.9%)

sample60.0ms (1.7%)

simplify55.0ms (1.6%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite6.0ms (0.2%)

simplify91.0ms (2.6%)

prune30.0ms (0.8%)

localize3.0ms (0.1%)

series8.0ms (0.2%)

rewrite1.0ms (0%)

simplify56.0ms (1.6%)

prune14.0ms (0.4%)

localize11.0ms (0.3%)

series8.0ms (0.2%)

rewrite7.0ms (0.2%)

simplify50.0ms (1.4%)

prune66.0ms (1.9%)

localize13.0ms (0.4%)

series796.0ms (22.8%)

rewrite8.0ms (0.2%)

simplify87.0ms (2.5%)

prune89.0ms (2.5%)

regimes75.0ms (2.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (53.9%)

Profiling