Details

analyze3.4s (36.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample75.0ms (0.8%)

Algorithm

1×

intervals

Results

43.0ms	248×	body	128	valid
2.0ms	3×	body	1024	valid
2.0ms	4×	body	512	invalid
1.0ms	10×	body	128	invalid
1.0ms	3×	body	512	valid
1.0ms	2×	body	1024	invalid
1.0ms	2×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 74 to 52 computations (29.7% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

691×	`exp-prod_binary64`
507×	`exp-sum_binary64`
446×	`fma-neg_binary64`
375×	`associate-l_binary64`
251×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	58	45
2	129	43
3	384	43
4	1266	43
5	4023	43
6	4945	43
7	5019	43

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 128 to 80 computations (37.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.0b	(*.f64 K (+.f64 m n))
✓	36.4b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series96.0ms (1%)

Counts

4 → 168

Calls

4 calls:

47.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
27.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
16.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
6.0ms	(*.f64 K (+.f64 m n))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
25×	`cos-sum_binary64`
24×	`add-cube-cbrt_binary64`
21×	`prod-diff_binary64`

Counts

4 → 108

Calls

4 calls:

11.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
7.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
4.0ms	(*.f64 K (+.f64 m n))

simplify145.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

326×	`associate-r_binary64`
293×	`fma-neg_binary64`
288×	`associate-l_binary64`
269×	`fma-def_binary64`
238×	`distribute-rgt-neg-in_binary64`

Counts

276 → 235

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	7167
1	983	5956
2	3264	5823
3	4933	5823

prune397.0ms (4.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	229	6	235
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	6	236

Error

1.6b

Counts

236 → 6

Alt Table

Status	Error	Program
	37.3b	(.f64 (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (neg.f64 (.f64 M 1)))) (cos.f64 (fma.f64 (neg.f64 M) 1 (.f64 M 1)))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (neg.f64 (.f64 M 1)))) (sin.f64 (fma.f64 (neg.f64 M) 1 (*.f64 M 1))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.9b	(.f64 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	1.8b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M)))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 10813 to 5229 computations (51.6% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

prune203.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	113	6	119

Error

1.6b

Counts

119 → 6

Alt Table

Status	Error	Program
	37.3b	(.f64 (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (neg.f64 (.f64 M 1)))) (cos.f64 (fma.f64 (neg.f64 M) 1 (.f64 M 1)))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sqrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (neg.f64 (.f64 M 1)))) (sin.f64 (fma.f64 (neg.f64 M) 1 (*.f64 M 1))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.9b	(.f64 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	1.8b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M)))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 3795 to 1963 computations (48.3% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (+.f64 n m) (sqrt.f64 2))
✓	0.4b	(/.f64 K (sqrt.f64 2))
✓	36.4b	(cos.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))
✓	36.8b	(sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))

series112.0ms (1.2%)

Counts

4 → 64

Calls

4 calls:

47.0ms	(cos.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))
45.0ms	(sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))
13.0ms	(/.f64 (+.f64 n m) (sqrt.f64 2))
7.0ms	(/.f64 K (sqrt.f64 2))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
42×	`times-frac_binary64`
36×	`add-sqr-sqrt_binary64`
36×	`add-cube-cbrt_binary64`
27×	`sqrt-prod_binary64`

Counts

4 → 111

Calls

4 calls:

5.0ms	(/.f64 (+.f64 n m) (sqrt.f64 2))
3.0ms	(/.f64 K (sqrt.f64 2))
1.0ms	(sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))
1.0ms	(cos.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))

simplify161.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-def_binary64`
294×	`associate-r_binary64`
274×	`cancel-sign-sub-inv_binary64`
211×	`associate-l_binary64`
196×	`sub-neg_binary64`

Counts

175 → 216

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	4556
1	970	4388
2	3284	4239
3	5115	4239

prune888.0ms (9.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	323	6	329
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	327	8	335

Error

1.5b

Counts

335 → 8

Alt Table

Status	Error	Program
	40.7b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (exp.f64 (-.f64 (log.f64 K) (log.f64 (sqrt.f64 2)))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (-.f64 (/.f64 (.f64 K m) (pow.f64 (sqrt.f64 2) 2)) M))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M)))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (.f64 (/.f64 (.f64 (cbrt.f64 K) (cbrt.f64 K)) (fabs.f64 (cbrt.f64 2))) (/.f64 (cbrt.f64 K) (sqrt.f64 (cbrt.f64 2)))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	38.5b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (exp.f64 (log.f64 (/.f64 (+.f64 m n) (sqrt.f64 2)))) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	15.7b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.9b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 2))) (/.f64 K (sqrt.f64 (sqrt.f64 2)))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	1.8b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 22471 to 13857 computations (38.3% saved)

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 K (sqrt.f64 2))
✓	1.0b	(cbrt.f64 2)
✓	36.3b	(cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))
	36.8b	(sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))

series84.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

84.0ms	(cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))
0.0ms	(cbrt.f64 2)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 23

Calls

2 calls:

1.0ms	(cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))
1.0ms	(cbrt.f64 2)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-def_binary64`
390×	`times-frac_binary64`
343×	`cancel-sign-sub-inv_binary64`
211×	`associate-r_binary64`
205×	`associate-/l*_binary64`

Counts

71 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	3779
1	607	3478
2	3183	3467
3	5185	3467

prune677.0ms (7.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	175	9	184

Error

1.5b

Counts

184 → 9

Alt Table

Status	Error	Program
	40.7b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (exp.f64 (-.f64 (log.f64 K) (log.f64 (sqrt.f64 2)))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (-.f64 (/.f64 (.f64 K m) (pow.f64 (sqrt.f64 2) 2)) M))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M)))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (+.f64 n m) (cbrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.8b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (.f64 (/.f64 (.f64 (cbrt.f64 K) (cbrt.f64 K)) (fabs.f64 (cbrt.f64 2))) (/.f64 (cbrt.f64 K) (sqrt.f64 (cbrt.f64 2)))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	38.5b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (exp.f64 (log.f64 (/.f64 (+.f64 m n) (sqrt.f64 2)))) (neg.f64 M)))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	34.7b	(.f64 (-.f64 (.f64 (cos.f64 0) (.f64 (sqrt.f64 (cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (sqrt.f64 (cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.7b	(.f64 (-.f64 (.f64 (cos.f64 0) (.f64 (.f64 (cbrt.f64 (cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (cbrt.f64 (cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (cbrt.f64 (cos.f64 (fma.f64 (/.f64 (/.f64 K (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))))) (*.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.9b	(.f64 (-.f64 (.f64 (cos.f64 0) (cos.f64 (fma.f64 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 2))) (/.f64 K (sqrt.f64 (sqrt.f64 2)))) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M)))) (.f64 (sin.f64 0) (sin.f64 (fma.f64 (/.f64 K (sqrt.f64 2)) (/.f64 (+.f64 n m) (sqrt.f64 2)) (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	1.8b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 14674 to 9860 computations (32.8% saved)

regimes869.0ms (9.2%)

Accuracy

Total 0.2b remaining (17.8%)

Threshold costs 0.2b (17.8%)

Counts

101 → 1

Compiler

Compiled 28766 to 19218 computations (33.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	28	31
2	45	31
3	60	31
4	69	31
5	72	31
6	72	31

end7.0ms (0.1%)

Remove: (sort m n)
Compiler: Compiled 75 to 54 computations (28% saved)

sample2.0s (21%)

Algorithm

1×

intervals

Results

1.0s	7839×	body	128	valid
46.0ms	74×	body	1024	invalid
41.0ms	303×	body	128	invalid
37.0ms	93×	body	512	invalid
37.0ms	57×	body	1024	valid
30.0ms	72×	body	512	valid
19.0ms	21×	body	2048	invalid
14.0ms	55×	body	256	invalid
8.0ms	32×	body	256	valid

Compiler

Compiled 656 to 484 computations (26.2% saved)

Details

analyze3.4s (36.1%)

sample75.0ms (0.8%)

simplify74.0ms (0.8%)

prune4.0ms (0%)

localize18.0ms (0.2%)

series96.0ms (1%)

rewrite42.0ms (0.4%)

simplify145.0ms (1.5%)

prune397.0ms (4.2%)

localize17.0ms (0.2%)

prune203.0ms (2.2%)

localize29.0ms (0.3%)

series112.0ms (1.2%)

rewrite15.0ms (0.2%)

simplify161.0ms (1.7%)

prune888.0ms (9.4%)

localize40.0ms (0.4%)

series84.0ms (0.9%)

rewrite2.0ms (0%)

simplify90.0ms (1%)

prune677.0ms (7.2%)

regimes869.0ms (9.2%)

simplify3.0ms (0%)

end7.0ms (0.1%)

sample2.0s (21%)

Profiling