Details

analyze3.5s (11%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample506.0ms (1.6%)

Algorithm

1×

intervals

Results

172.0ms	48×	body	4096	invalid
82.0ms	111×	body	1024	valid
65.0ms	30×	body	2048	invalid
53.0ms	22×	body	4096	valid
38.0ms	33×	body	2048	valid
25.0ms	48×	body	512	valid
13.0ms	28×	body	128	valid
12.0ms	19×	body	1024	invalid
7.0ms	15×	body	512	invalid
7.0ms	18×	body	256	invalid
5.0ms	31×	body	128	invalid
5.0ms	14×	body	256	valid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-*l/_binary64`
417×	`associate-/r/_binary64`
392×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	174	32
3	820	32
4	4966	32
5	4943	32

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

42.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	42.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 97 to 65 computations (33% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	1.3b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	17.3b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	30.2b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series380.0ms (1.2%)

Counts

4 → 132

Calls

4 calls:

138.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
131.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
76.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
35.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite62.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

228×	`add-exp-log_binary64`
139×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
51×	`div-exp_binary64`
37×	`times-frac_binary64`

Counts

4 → 195

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
9.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
8.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify201.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

601×	`unswap-sqr_binary64`
512×	`associate-l_binary64`
377×	`associate-r_binary64`
198×	`fma-def_binary64`
197×	`*-commutative_binary64`

Counts

327 → 268

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	7680
1	754	6984
2	3315	6927
3	4897	6927
4	5040	6927

prune296.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	255	13	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	13	269

Error

15.6b

Counts

269 → 13

Alt Table

Status	Error	Program
	32.4b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	22.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.5b	(/.f64 2 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	41.1b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 1 (/.f64 l (/.f64 (pow.f64 t 3) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	47.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	61.7b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 (pow.f64 t 3)) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	59.7b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	49.6b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (*.f64 l l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	38.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	47.5b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))

Compiler

Compiled 8556 to 4437 computations (48.1% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	2.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.5b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	20.5b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series422.0ms (1.3%)

Counts

4 → 48

Calls

4 calls:

235.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
141.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
29.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
16.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite69.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

461×	`add-exp-log_binary64`
270×	`prod-exp_binary64`
157×	`div-exp_binary64`
90×	`pow-exp_binary64`
90×	`pow-to-exp_binary64`

Counts

4 → 231

Calls

4 calls:

12.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
9.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
6.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify170.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

544×	`associate-/l/_binary64`
395×	`fma-def_binary64`
377×	`times-frac_binary64`
265×	`associate-r_binary64`
231×	`associate-/r*_binary64`

Counts

279 → 263

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	8609
1	668	7590
2	2929	7535
3	5188	7535

prune468.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	252	11	263
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	256	20	276

Error

12.6b

Counts

276 → 20

Alt Table

Status	Error	Program
	41.1b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 1 (/.f64 l (/.f64 (pow.f64 t 3) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.7b	(/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 (.f64 l l) (cos.f64 k)) (sqrt.f64 2))))
	53.1b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	47.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.7b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	23.2b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	55.4b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	47.5b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
▶	21.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	55.4b	(/.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	23.1b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	59.7b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.5b	(/.f64 2 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	22.9b	(/.f64 2 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	45.2b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	28.4b	(.f64 (sqrt.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2))))) (sqrt.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	38.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 8649 to 5366 computations (38% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 k) 2)
✓	0.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	2.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	20.5b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series380.0ms (1.2%)

Counts

3 → 76

Calls

3 calls:

233.0ms

(/.f64 2 (/.f64 (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

143.0ms

(/.f64 (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

4.0ms

(pow.f64 (sin.f64 k) 2)

rewrite47.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

238×	`add-exp-log_binary64`
132×	`prod-exp_binary64`
77×	`add-cbrt-cube_binary64`
73×	`div-exp_binary64`
32×	`cbrt-unprod_binary64`

Counts

3 → 137

Calls

3 calls:

11.0ms

(/.f64 2 (/.f64 (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

10.0ms

(/.f64 (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

2.0ms

(pow.f64 (sin.f64 k) 2)

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

673×	`associate-/l/_binary64`
509×	`times-frac_binary64`
289×	`associate-/r*_binary64`
256×	`associate-r_binary64`
252×	`associate-/l*_binary64`

Counts

213 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	7204
1	625	6079
2	2861	6049
3	5057	6049

prune477.0ms (1.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	230	8	238
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	234	24	258

Error

11.0b

Counts

258 → 24

Alt Table

Status	Error	Program
	41.1b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 1 (/.f64 l (/.f64 (pow.f64 t 3) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.7b	(/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 (.f64 l l) (cos.f64 k)) (sqrt.f64 2))))
	53.1b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	47.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.7b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	23.2b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	59.7b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	21.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	19.1b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 k (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	47.5b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.4b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	23.1b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	21.5b	(/.f64 (/.f64 2 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2))))
	59.7b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	19.1b	(/.f64 2 (/.f64 k (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 l l)))))
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.5b	(/.f64 2 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	22.9b	(/.f64 2 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	45.2b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
▶	18.9b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	19.0b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l l))))
	55.4b	(/.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))

Compiler

Compiled 8285 to 4877 computations (41.1% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	2.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	2.8b	(.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
✓	17.6b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

series498.0ms (1.6%)

Counts

3 → 76

Calls

3 calls:

236.0ms

(/.f64 2 (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))

165.0ms

(*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))

97.0ms

(/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

rewrite65.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

352×	`add-exp-log_binary64`
169×	`prod-exp_binary64`
140×	`div-exp_binary64`
86×	`add-cbrt-cube_binary64`
40×	`pow-exp_binary64`

Counts

3 → 192

Calls

3 calls:

12.0ms

(/.f64 2 (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))

12.0ms

(*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))

8.0ms

(/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

simplify211.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

334×	`fma-def_binary64`
259×	`associate-/l*_binary64`
243×	`times-frac_binary64`
240×	`associate-/r*_binary64`
235×	`associate-r_binary64`

Counts

268 → 256

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	325	8627
1	771	7312
2	3161	7275
3	4770	7271
4	4996	7271

prune529.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	291	10	301
Fresh	13	10	23
Picked	1	0	1
Done	0	0	0
Total	305	20	325

Error

3.8b

Counts

325 → 20

Alt Table

Status	Error	Program
	58.3b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (fma.f64 2/45 (/.f64 (.f64 t (pow.f64 k 7)) (.f64 l l)) (fma.f64 (/.f64 (pow.f64 k 3) l) (/.f64 t l) (fma.f64 (/.f64 (.f64 t (pow.f64 k 9)) (.f64 l l)) -1/315 (.f64 (/.f64 (.f64 t (pow.f64 k 5)) (.f64 l l)) -1/3))))))
	22.7b	(/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 (.f64 l l) (cos.f64 k)) (sqrt.f64 2))))
	10.8b	(/.f64 2 (.f64 (.f64 (/.f64 k (cos.f64 k)) (/.f64 k l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	9.1b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	19.0b	(.f64 (/.f64 2 (.f64 k (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))) (cos.f64 k))
	59.7b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	23.2b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	13.9b	(/.f64 2 (.f64 (.f64 (/.f64 k (.f64 l (cbrt.f64 l))) (/.f64 k (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	19.0b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l l))))
	18.7b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (pow.f64 l 2))))
	23.1b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	21.5b	(/.f64 (/.f64 2 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2))))
	8.5b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 (/.f64 k l) (*.f64 t (pow.f64 (sin.f64 k) 2))) l)))
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	53.1b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	19.0b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 1 (pow.f64 l 2)))))
	59.7b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	19.1b	(/.f64 2 (.f64 (/.f64 1 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k)))) (.f64 (/.f64 k (cbrt.f64 (cos.f64 k))) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))))
	47.5b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
	57.0b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (.f64 (log.f64 l) 2)))))

Compiler

Compiled 8973 to 4752 computations (47% saved)

regimes4.1s (13.1%)

Accuracy

Total 2.8b remaining (40.5%)

Threshold costs 0b (0%)

Counts

264 → 3

Compiler

Compiled 45574 to 32885 computations (27.8% saved)

bsearch255.0ms (0.8%)

Steps

Iters	Range		Point
9	1.350597067970269e+101	8.25547483014426e+106	2.7262120337587024e+103
1	-3.3143984780958673e+139	-4.3800035677232184e+136	-1.2186753330381943e+138

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	34	72
2	34	72

end2.0ms (0%)

Compiler: Compiled 50 to 30 computations (40% saved)

sample18.5s (59%)

Algorithm

1×

intervals

Results

5.5s	1216×	body	4096	invalid
3.9s	3864×	body	1024	valid
2.7s	1018×	body	2048	invalid
1.6s	1065×	body	2048	valid
1.3s	442×	body	4096	valid
876.0ms	1382×	body	512	valid
615.0ms	665×	body	1024	invalid
295.0ms	476×	body	512	invalid
215.0ms	1034×	body	128	invalid
190.0ms	812×	body	128	valid
182.0ms	435×	body	256	valid
170.0ms	330×	body	256	invalid

Compiler

Compiled 616 to 431 computations (30% saved)

Details

analyze3.5s (11%)

sample506.0ms (1.6%)

simplify36.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series380.0ms (1.2%)

rewrite62.0ms (0.2%)

simplify201.0ms (0.6%)

prune296.0ms (0.9%)

localize14.0ms (0%)

series422.0ms (1.3%)

rewrite69.0ms (0.2%)

simplify170.0ms (0.5%)

prune468.0ms (1.5%)

localize13.0ms (0%)

series380.0ms (1.2%)

rewrite47.0ms (0.2%)

simplify143.0ms (0.5%)

prune477.0ms (1.5%)

localize13.0ms (0%)

series498.0ms (1.6%)

rewrite65.0ms (0.2%)

simplify211.0ms (0.7%)

prune529.0ms (1.7%)

regimes4.1s (13.1%)

bsearch255.0ms (0.8%)

simplify8.0ms (0%)

end2.0ms (0%)

sample18.5s (59%)

Profiling