Details

analyze3.2s (34.9%)

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)

sample113.0ms (1.2%)

Algorithm

1×

intervals

Symmetry

(sort m n)

Results

35.0ms	249×	body	128	valid
3.0ms	5×	body	1024	invalid
2.0ms	15×	body	128	invalid
2.0ms	4×	body	512	valid
1.0ms	1×	body	1024	valid
1.0ms	2×	body	256	invalid
1.0ms	2×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 74 to 52 computations (29.7% saved)

simplify63.0ms (0.7%)

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

prune5.0ms (0.1%)

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

17.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	17.0b	(.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)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.0b	(/.f64 (*.f64 K (+.f64 m n)) 2)
✓	36.6b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series60.0ms (0.7%)

Counts

4 → 156

Calls

4 calls:

28.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
18.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
8.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)
6.0ms	(*.f64 K (+.f64 m n))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
8.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
5.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)
5.0ms	(*.f64 K (+.f64 m n))

simplify155.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

429×	`fma-neg_binary64`
332×	`associate-r_binary64`
300×	`associate-l_binary64`
225×	`*-commutative_binary64`
213×	`fma-def_binary64`

Counts

264 → 231

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	438	6329
1	903	5067
2	3136	4940
3	4779	4856
4	4939	4856

prune327.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	225	6	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	6	232

Error

1.4b

Counts

232 → 6

Alt Table

Status	Error	Program
	30.5b	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.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))))
▶	1.5b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	16.8b	(.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))))
	16.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.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))))
	30.6b	(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.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))))
	16.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 10186 to 4880 computations (52.1% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series52.0ms (0.6%)

Counts

2 → 52

Calls

2 calls:

50.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
2.0ms	(cos.f64 M)

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
36×	`prod-diff_binary64`
26×	`fabs-mul_binary64`
22×	`add-cube-cbrt_binary64`

Counts

2 → 82

Calls

2 calls:

19.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
1.0ms	(cos.f64 M)

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

601×	`fma-neg_binary64`
481×	`distribute-rgt-in_binary64`
424×	`distribute-lft-in_binary64`
385×	`cancel-sign-sub-inv_binary64`
282×	`sub-neg_binary64`

Counts

134 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	6156
1	633	4638
2	1971	3747
3	4707	3739
4	4995	3739

prune278.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	196	6	202

Error

1.4b

Counts

202 → 6

Alt Table

Status	Error	Program
	30.5b	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.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))))
✓	1.5b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	16.8b	(.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))))
	16.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.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))))
	30.6b	(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.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))))
	16.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 7805 to 3971 computations (49.1% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n)))
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))
✓	0.6b	(cbrt.f64 (+.f64 m n))
✓	36.5b	(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))

series89.0ms (1%)

Counts

4 → 132

Calls

4 calls:

28.0ms	(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))
28.0ms	(*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))
24.0ms	(cbrt.f64 (+.f64 m n))
8.0ms	(.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n)))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`cbrt-div_binary64`
47×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
34×	`associate-*r/_binary64`
34×	`flip-+_binary64`

Counts

4 → 159

Calls

4 calls:

16.0ms	(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))
16.0ms	(.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n)))
9.0ms	(*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))
3.0ms	(cbrt.f64 (+.f64 m n))

simplify185.0ms (2%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-r_binary64`
579×	`associate-l_binary64`
435×	`times-frac_binary64`
356×	`*-commutative_binary64`
267×	`fma-neg_binary64`

Counts

291 → 305

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	8706
1	1236	7610
2	4230	7423
3	5304	7423

prune572.0ms (6.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	416	5	421
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	420	7	427

Error

1.3b

Counts

427 → 7

Alt Table

Status	Error	Program
	30.5b	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.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))))
✓	1.5b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	22.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (*.f64 K (pow.f64 (pow.f64 m 2) 1/3)) (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))))
	41.4b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (+.f64 (pow.f64 (pow.f64 n 2) 1/3) (.f64 2/3 (*.f64 (pow.f64 (/.f64 1 n) 1/3) m)))) (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))))
	22.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (cbrt.f64 (.f64 n 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))))
	29.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (pow.f64 n 1/3)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	16.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (exp.f64 (log.f64 (.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))))

Compiler

Compiled 24238 to 10810 computations (55.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))
	0.6b	(cbrt.f64 (+.f64 m n))
✓	5.3b	(exp.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))
✓	37.0b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (exp.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))

series57.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

32.0ms

(cos.f64 (-.f64 (/.f64 (*.f64 (*.f64 K (exp.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))

25.0ms

(exp.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

19.0ms

(cos.f64 (-.f64 (/.f64 (*.f64 (*.f64 K (exp.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))

8.0ms

(exp.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))

simplify218.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

546×	`cancel-sign-sub-inv_binary64`
481×	`neg-mul-1_binary64`
464×	`fma-neg_binary64`
283×	`associate-r_binary64`
235×	`distribute-rgt-neg-in_binary64`

Counts

138 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	426	7064
1	795	4138
2	2464	3946
3	4461	3852
4	5144	3852

prune781.0ms (8.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	401	3	404
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	403	8	411

Error

1.3b

Counts

411 → 8

Alt Table

Status	Error	Program
	22.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (*.f64 K (pow.f64 (pow.f64 m 2) 1/3)) (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))))
	16.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (.f64 (cbrt.f64 (exp.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (exp.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n))))))) (cbrt.f64 (exp.f64 (log.f64 (.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))))
	41.4b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (+.f64 (pow.f64 (pow.f64 n 2) 1/3) (.f64 2/3 (*.f64 (pow.f64 (/.f64 1 n) 1/3) m)))) (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))))
	16.8b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (exp.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))) (cbrt.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (exp.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M)))) (cbrt.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (exp.f64 (log.f64 (.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))))
	22.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (cbrt.f64 (.f64 n 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))))
	29.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (pow.f64 n 1/3)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	16.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (exp.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (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))))
✓	1.5b	(*.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 23684 to 10964 computations (53.7% saved)

regimes529.0ms (5.8%)

Accuracy

Total 0.2b remaining (17.6%)

Threshold costs 0.2b (17.6%)

Counts

66 → 1

Compiler

Compiled 14846 to 9222 computations (37.9% 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)

sample2.1s (22.8%)

Algorithm

1×

intervals

Results

1.2s	7839×	body	128	valid
65.0ms	100×	body	1024	invalid
53.0ms	308×	body	128	invalid
47.0ms	72×	body	1024	valid
40.0ms	100×	body	512	invalid
25.0ms	58×	body	512	valid
18.0ms	60×	body	256	invalid
13.0ms	13×	body	2048	invalid
9.0ms	31×	body	256	valid

Compiler

Compiled 490 to 282 computations (42.4% saved)

Details

analyze3.2s (34.9%)

sample113.0ms (1.2%)

simplify63.0ms (0.7%)

prune5.0ms (0.1%)

localize17.0ms (0.2%)

series60.0ms (0.7%)

rewrite35.0ms (0.4%)

simplify155.0ms (1.7%)

prune327.0ms (3.6%)

localize13.0ms (0.1%)

series52.0ms (0.6%)

rewrite30.0ms (0.3%)

simplify136.0ms (1.5%)

prune278.0ms (3%)

localize24.0ms (0.3%)

series89.0ms (1%)

rewrite67.0ms (0.7%)

simplify185.0ms (2%)

prune572.0ms (6.2%)

localize24.0ms (0.3%)

series57.0ms (0.6%)

rewrite36.0ms (0.4%)

simplify218.0ms (2.4%)

prune781.0ms (8.5%)

regimes529.0ms (5.8%)

simplify3.0ms (0%)

end7.0ms (0.1%)

sample2.1s (22.8%)

Profiling