Details

analyze2.9s (21.9%)

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)

sample2.1s (15.8%)

Symmetry

(sort m n)

Results

1.7s	8098×	body	128	valid
75.0ms	94×	body	1024	invalid
66.0ms	323×	body	128	invalid
53.0ms	66×	body	1024	valid
36.0ms	62×	body	512	valid
34.0ms	64×	body	512	invalid
26.0ms	22×	body	2048	invalid
16.0ms	43×	body	256	invalid
13.0ms	30×	body	256	valid

Compiler

Compiled 104 to 71 computations (31.7% saved)

simplify64.0ms (0.5%)

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

14.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.1b	(.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)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.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))))
✓	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	32.4b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series403.0ms (3%)

Counts

4 → 180

Calls

4 calls:

353.0ms	(.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))))
26.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
18.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
6.0ms	(*.f64 K (+.f64 m n))

rewrite75.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
63×	`add-sqr-sqrt_binary64`
57×	`prod-diff_binary64`
48×	`associate-r_binary64`
42×	`add-cube-cbrt_binary64`

Counts

4 → 145

Calls

4 calls:

31.0ms	(.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))))
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)
4.0ms	(*.f64 K (+.f64 m n))

simplify306.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-def_binary64`
462×	`*-commutative_binary64`
308×	`associate-r_binary64`
167×	`+-commutative_binary64`
153×	`cancel-sign-sub-inv_binary64`

Counts

325 → 314

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	990	19178
1	2633	17041
2	4857	17041
3	4990	17041

prune759.0ms (5.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	309	5	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	5	315

Error

0.9b

Counts

315 → 5

Alt Table

Status	Error	Program
	14.1b	(.f64 (-.f64 (.f64 (cos.f64 (.f64 M 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 (.f64 M 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))))
▶	1.2b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	14.1b	(.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))))
	14.1b	(.f64 (-.f64 (.f64 (cos.f64 (fma.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)) (neg.f64 (.f64 M 1)))) (cos.f64 (fma.f64 (neg.f64 M) 1 (.f64 M 1)))) (.f64 (sin.f64 (fma.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)) (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))))
	40.4b	(.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cos.f64 (.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M)))) (.f64 (sin.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 25881 to 12790 computations (50.6% saved)

localize14.0ms (0.1%)

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	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
✓	0.0b	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series181.0ms (1.4%)

Counts

3 → 144

Calls

3 calls:

77.0ms

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

58.0ms

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

46.0ms

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

rewrite76.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64`
88×	`add-sqr-sqrt_binary64`
72×	`prod-diff_binary64`
47×	`fabs-mul_binary64`
44×	`add-cube-cbrt_binary64`

Counts

3 → 160

Calls

3 calls:

20.0ms

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

20.0ms

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

12.0ms

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

simplify279.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

496×	`fma-def_binary64`
479×	`associate-r_binary64`
470×	`fma-neg_binary64`
381×	`associate-l_binary64`
228×	`associate-+l+_binary64`

Counts

304 → 290

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	15853
1	1374	12737
2	4894	12735
3	5298	12735

prune623.0ms (4.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	352	0	352
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	352	5	357

Error

0.9b

Counts

357 → 5

Alt Table

Status	Error	Program
	14.1b	(.f64 (-.f64 (.f64 (cos.f64 (.f64 M 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 (.f64 M 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))))
✓	1.2b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	14.1b	(.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))))
	14.1b	(.f64 (-.f64 (.f64 (cos.f64 (fma.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)) (neg.f64 (.f64 M 1)))) (cos.f64 (fma.f64 (neg.f64 M) 1 (.f64 M 1)))) (.f64 (sin.f64 (fma.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)) (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))))
	40.4b	(.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cos.f64 (.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M)))) (.f64 (sin.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 18076 to 9030 computations (50% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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))
✓	32.4b	(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))

series85.0ms (0.6%)

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))
26.0ms	(*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))
22.0ms	(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)))

rewrite64.0ms (0.5%)

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	(.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n)))
15.0ms	(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))
8.0ms	(*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))
3.0ms	(cbrt.f64 (+.f64 m n))

simplify174.0ms (1.3%)

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

prune890.0ms (6.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	418	3	421
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	421	5	426

Error

0.9b

Counts

426 → 5

Alt Table

Status	Error	Program
▶	14.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 m n)) (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))))
	40.4b	(.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cos.f64 (.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M)))) (.f64 (sin.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	1.2b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	14.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (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))))
	24.3b	(.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))))

Compiler

Compiled 24154 to 10704 computations (55.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n))) (cbrt.f64 (+.f64 m n)))))
	0.6b	(cbrt.f64 (+.f64 m n))
✓	0.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n))) (cbrt.f64 (+.f64 m n))))
✓	32.4b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n))) (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))

series82.0ms (0.6%)

Counts

3 → 96

Calls

3 calls:

29.0ms

(cos.f64 (-.f64 (/.f64 (*.f64 (*.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 m n)) (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 (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n))) (cbrt.f64 (+.f64 m n)))))

23.0ms

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

rewrite98.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

374×	`cbrt-div_binary64`
164×	`frac-times_binary64`
135×	`flip-+_binary64`
135×	`flip3-+_binary64`
58×	`associate-*r/_binary64`

Counts

3 → 181

Calls

3 calls:

14.0ms

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

13.0ms

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

13.0ms

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

simplify266.0ms (2%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-r_binary64`
396×	`*-commutative_binary64`
393×	`times-frac_binary64`
345×	`associate-l_binary64`
261×	`fma-neg_binary64`

Counts

277 → 341

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	675	13064
1	1165	11993
2	3539	11715
3	4947	11715

prune1.1s (8.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	628	3	631
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	630	6	636

Error

0.9b

Counts

636 → 6

Alt Table

Status	Error	Program
✓	1.2b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	14.0b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 m n)) (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))))
	14.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (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))))
	40.4b	(.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cos.f64 (.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M)))) (.f64 (sin.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	12.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n))) (cbrt.f64 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))))
	14.0b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 m n)) (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 44566 to 17782 computations (60.1% saved)

regimes2.5s (19.1%)

Accuracy

Total 0.2b remaining (15.8%)

Threshold costs 0.2b (15.8%)

Counts

281 → 1

Compiler

Compiled 72422 to 45630 computations (37% 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

end158.0ms (1.2%)

Remove: (sort m n)
Compiler: Compiled 405 to 239 computations (41% saved)

Details

analyze2.9s (21.9%)

sample2.1s (15.8%)

simplify64.0ms (0.5%)

prune4.0ms (0%)

localize19.0ms (0.1%)

series403.0ms (3%)

rewrite75.0ms (0.6%)

simplify306.0ms (2.3%)

prune759.0ms (5.7%)

localize14.0ms (0.1%)

series181.0ms (1.4%)

rewrite76.0ms (0.6%)

simplify279.0ms (2.1%)

prune623.0ms (4.7%)

localize21.0ms (0.2%)

series85.0ms (0.6%)

rewrite64.0ms (0.5%)

simplify174.0ms (1.3%)

prune890.0ms (6.7%)

localize26.0ms (0.2%)

series82.0ms (0.6%)

rewrite98.0ms (0.7%)

simplify266.0ms (2%)

prune1.1s (8.2%)

regimes2.5s (19.1%)

simplify3.0ms (0%)

end158.0ms (1.2%)

Profiling