Details

analyze3.4s (30.9%)

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)

sample69.0ms (0.6%)

Algorithm

1×

intervals

Results

37.0ms	250×	body	128	valid
3.0ms	5×	body	1024	invalid
2.0ms	4×	body	512	valid
1.0ms	9×	body	128	invalid
1.0ms	2×	body	1024	valid
1.0ms	3×	body	512	invalid
1.0ms	1×	body	2048	invalid
1.0ms	2×	body	256	invalid

Compiler

Compiled 74 to 52 computations (29.7% saved)

simplify67.0ms (0.6%)

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

13.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.8b	(.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)

localize20.0ms (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)
✓	0.2b	(/.f64 (*.f64 K (+.f64 m n)) 2)
✓	34.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite36.0ms (0.3%)

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))
9.0ms	(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))

series106.0ms (1%)

Counts

4 → 156

Calls

4 calls:

31.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)
28.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
26.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
20.0ms	(*.f64 K (+.f64 m n))

simplify230.0ms (2.1%)

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 → 487

Iterations

Useful iterations: 3 (0.0ms)

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

prune394.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	479	8	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	480	8	488

Error

1.6b

Counts

488 → 8

Alt Table

Status	Error	Program
	13.8b	(.f64 (log.f64 (exp.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))))
	28.8b	(.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))))
	38.5b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	13.8b	(.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))))
	13.8b	(.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))))
	13.8b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	13.8b	(.f64 (cos.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2))) (cbrt.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))))
▶	1.7b	(*.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 10176 to 4919 computations (51.7% saved)

localize13.0ms (0.1%)

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)

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`fma-def_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`unpow-prod-down_binary64`
3×	`add-log-exp_binary64`

Counts

1 → 25

Calls

1 calls:

11.0ms

(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)

series80.0ms (0.7%)

Counts

1 → 48

Calls

1 calls:

80.0ms

(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-rgt-in_binary64`
733×	`fma-neg_binary64`
455×	`fma-def_binary64`
381×	`associate--l+_binary64`
377×	`associate-+l+_binary64`

Counts

73 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1735
1	293	1532
2	742	1518
3	2610	1516
4	4954	1516
5	5359	1516

prune255.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	243	8	251

Error

1.6b

Counts

251 → 8

Alt Table

Status	Error	Program
	13.8b	(.f64 (log.f64 (exp.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))))
	28.8b	(.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))))
	38.5b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	13.8b	(.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))))
	13.8b	(.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))))
	13.8b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	13.8b	(.f64 (cos.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2))) (cbrt.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))))
✓	1.7b	(*.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 4049 to 2059 computations (49.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.4b	(/.f64 (/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2))
✓	0.6b	(/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2))
✓	35.0b	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2)) M))

rewrite112.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`times-frac_binary64`
232×	`*-un-lft-identity_binary64`
232×	`add-sqr-sqrt_binary64`
232×	`add-cube-cbrt_binary64`
204×	`sqrt-prod_binary64`

Counts

3 → 332

Calls

3 calls:

42.0ms	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2)) M))
8.0ms	(/.f64 (/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2))
6.0ms	(/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2))

series203.0ms (1.9%)

Counts

3 → 120

Calls

3 calls:

87.0ms	(/.f64 (/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2))
59.0ms	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2)) M))
56.0ms	(/.f64 (*.f64 K (+.f64 m n)) (sqrt.f64 2))

simplify549.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1084×	`fma-def_binary64`
385×	`*-commutative_binary64`
201×	`associate-r_binary64`
192×	`cancel-sign-sub-inv_binary64`
173×	`associate-l_binary64`

Counts

452 → 870

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	869	26678
1	1163	20128
2	3349	18159
3	4660	17391
4	4917	17391

prune1.0s (9.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1090	6	1096
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	1096	8	1104

Error

1.6b

Counts

1104 → 8

Alt Table

Status	Error	Program
	13.8b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2)) M))) (cbrt.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (sqrt.f64 2)) (sqrt.f64 2)) M)))) (cbrt.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))))
	13.8b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	8.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n K) (pow.f64 (sqrt.f64 2) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	28.7b	(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.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))))
	13.5b	(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K (sqrt.f64 (sqrt.f64 2))) (/.f64 (+.f64 m n) (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3))) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	13.8b	(.f64 (log.f64 (exp.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))))
✓	1.7b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	8.3b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K m) (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 29474 to 15873 computations (46.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.3b	(/.f64 (/.f64 (*.f64 K m) (sqrt.f64 2)) (sqrt.f64 2))
✓	0.4b	(/.f64 (*.f64 K m) (sqrt.f64 2))
✓	25.6b	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 K m) (sqrt.f64 2)) (sqrt.f64 2)) M))

rewrite99.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`times-frac_binary64`
232×	`*-un-lft-identity_binary64`
232×	`add-sqr-sqrt_binary64`
232×	`add-cube-cbrt_binary64`
204×	`sqrt-prod_binary64`

Counts

3 → 330

Calls

3 calls:

39.0ms	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 K m) (sqrt.f64 2)) (sqrt.f64 2)) M))
7.0ms	(/.f64 (/.f64 (*.f64 K m) (sqrt.f64 2)) (sqrt.f64 2))
4.0ms	(/.f64 (*.f64 K m) (sqrt.f64 2))

series143.0ms (1.3%)

Counts

3 → 60

Calls

3 calls:

80.0ms	(/.f64 (/.f64 (*.f64 K m) (sqrt.f64 2)) (sqrt.f64 2))
45.0ms	(/.f64 (*.f64 K m) (sqrt.f64 2))
18.0ms	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 K m) (sqrt.f64 2)) (sqrt.f64 2)) M))

simplify469.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary64`
639×	`associate-*r/_binary64`
628×	`associate-/r*_binary64`
340×	`associate-/r/_binary64`
305×	`*-commutative_binary64`

Counts

390 → 750

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	776	24639
1	844	18661
2	2048	12322
3	4484	11489
4	4903	11489

prune1.1s (9.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1199	3	1202
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	1202	8	1210

Error

1.6b

Counts

1210 → 8

Alt Table

Status	Error	Program
	8.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n K) (pow.f64 (sqrt.f64 2) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	8.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (/.f64 K (cbrt.f64 2)) (/.f64 m (sqrt.f64 (cbrt.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))))
	13.8b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K (+.f64 m n)) (*.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	13.5b	(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K (sqrt.f64 (sqrt.f64 2))) (/.f64 (+.f64 m n) (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3))) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	13.8b	(.f64 (log.f64 (exp.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))))
✓	1.7b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	8.3b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K m) (sqrt.f64 2)) (sqrt.f64 2)) M))) (cbrt.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K m) (sqrt.f64 2)) (sqrt.f64 2)) M)))) (cbrt.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 K m) (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))))
	23.2b	(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 K m) (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 25075 to 14045 computations (44% saved)

regimes561.0ms (5.1%)

Accuracy

Total 0.2b remaining (13.2%)

Threshold costs 0.2b (13.2%)

Compiler

Compiled 17804 to 11670 computations (34.5% saved)

simplify4.0ms (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

end8.0ms (0.1%)

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

sample1.9s (17.5%)

Algorithm

1×

intervals

Results

1.0s	7813×	body	128	valid
53.0ms	89×	body	1024	invalid
49.0ms	75×	body	1024	valid
41.0ms	297×	body	128	invalid
33.0ms	79×	body	512	invalid
29.0ms	72×	body	512	valid
23.0ms	23×	body	2048	invalid
18.0ms	69×	body	256	invalid
11.0ms	39×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 384 to 282 computations (26.6% saved)

Details

analyze3.4s (30.9%)

sample69.0ms (0.6%)

simplify67.0ms (0.6%)

prune4.0ms (0%)

localize20.0ms (0.2%)

rewrite36.0ms (0.3%)

series106.0ms (1%)

simplify230.0ms (2.1%)

prune394.0ms (3.6%)

localize13.0ms (0.1%)

rewrite13.0ms (0.1%)

series80.0ms (0.7%)

simplify94.0ms (0.9%)

prune255.0ms (2.3%)

localize23.0ms (0.2%)

rewrite112.0ms (1%)

series203.0ms (1.9%)

simplify549.0ms (5%)

prune1.0s (9.3%)

localize21.0ms (0.2%)

rewrite99.0ms (0.9%)

series143.0ms (1.3%)

simplify469.0ms (4.3%)

prune1.1s (9.7%)

regimes561.0ms (5.1%)

simplify4.0ms (0%)

end8.0ms (0.1%)

sample1.9s (17.5%)

Profiling