Details

analyze3.3s (10.8%)

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)

sample17.3s (56.5%)

Results

5.0s	1253×	body	4096	invalid
3.7s	3894×	body	1024	valid
2.9s	1146×	body	2048	invalid
1.6s	1078×	body	2048	valid
1.3s	488×	body	4096	valid
925.0ms	1419×	body	512	valid
642.0ms	699×	body	1024	invalid
330.0ms	500×	body	512	invalid
268.0ms	1102×	body	128	invalid
226.0ms	896×	body	128	valid
210.0ms	481×	body	256	valid
133.0ms	306×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify33.0ms (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

39.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	39.7b	(/.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))
✓	0.6b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	17.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	27.0b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series368.0ms (1.2%)

Counts

4 → 132

Calls

4 calls:

130.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
123.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
73.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
40.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite63.0ms (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:

15.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
10.0ms	(.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))

simplify193.0ms (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

prune365.0ms (1.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	251	17	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	252	17	269

Error

12.9b

Counts

269 → 17

Alt Table

Status	Error	Program
	31.0b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	33.5b	(/.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)))
▶	22.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	51.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (pow.f64 (sqrt.f64 (/.f64 k t)) 2)))
	37.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)) (.f64 (/.f64 k t) (cbrt.f64 (/.f64 k t)))) (pow.f64 (cbrt.f64 (/.f64 k t)) 2)))
	59.0b	(/.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))))
	58.3b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	50.5b	(/.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)))
	40.3b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 l l)))
	60.7b	(/.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))))
	45.7b	(/.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)))
	48.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	34.8b	(/.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)))
	48.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.0b	(/.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 (log.f64 (/.f64 k t)) 2))))
	55.9b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 8796 to 4603 computations (47.7% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.0b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	20.0b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series415.0ms (1.4%)

Counts

4 → 48

Calls

4 calls:

220.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
145.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
28.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
21.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite67.0ms (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:

9.0ms	(/.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)))
8.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify168.0ms (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

prune491.0ms (1.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	250	13	263
Fresh	7	9	16
Picked	1	0	1
Done	0	0	0
Total	258	22	280

Error

8.8b

Counts

280 → 22

Alt Table

Status	Error	Program
	34.8b	(/.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)))
	22.6b	(/.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))))
	33.5b	(/.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)))
	20.0b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	56.6b	(/.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)))))
	51.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (pow.f64 (sqrt.f64 (/.f64 k t)) 2)))
	22.8b	(.f64 (/.f64 1 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 2 (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2)))))
	58.3b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.5b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	58.9b	(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)))))
	55.9b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.4b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	20.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
▶	19.9b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	58.9b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	20.0b	(.f64 (/.f64 1 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	22.6b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))) (cbrt.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))) (/.f64 2 (cbrt.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	48.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	48.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.0b	(/.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 (log.f64 (/.f64 k t)) 2))))
	43.6b	(/.f64 2 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))))

Compiler

Compiled 8783 to 5462 computations (37.8% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	11.0b	(/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))
✓	12.5b	(.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))

series446.0ms (1.5%)

Counts

3 → 76

Calls

3 calls:

235.0ms

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

131.0ms

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

80.0ms

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

rewrite74.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

455×	`add-exp-log_binary64`
239×	`div-exp_binary64`
185×	`prod-exp_binary64`
89×	`pow-exp_binary64`
89×	`pow-to-exp_binary64`

Counts

3 → 242

Calls

3 calls:

14.0ms

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

11.0ms

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

8.0ms

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

simplify226.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

646×	`fma-def_binary64`
252×	`associate-*r/_binary64`
252×	`fma-neg_binary64`
242×	`associate-*l/_binary64`
226×	`associate-/l*_binary64`

Counts

318 → 288

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	334	9846
1	749	8710
2	2847	8660
3	4400	8656
4	5018	8656

prune647.0ms (2.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	324	9	333
Fresh	10	11	21
Picked	1	0	1
Done	0	0	0
Total	335	20	355

Error

5.6b

Counts

355 → 20

Alt Table

Status	Error	Program
	40.5b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (.f64 (/.f64 t (pow.f64 (sqrt.f64 l) 2)) (/.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 (sqrt.f64 l) 2)))))
	48.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.5b	(/.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)))
	20.0b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
▶	12.6b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
	51.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (pow.f64 (sqrt.f64 (/.f64 k t)) 2)))
	22.8b	(.f64 (/.f64 1 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 2 (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2)))))
	58.3b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.1b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (-.f64 (.f64 (log.f64 k) 2) (log.f64 (cos.f64 k))) (-.f64 (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (log.f64 l) 2)))))
	21.4b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	20.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	58.9b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	20.1b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (.f64 (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))) (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))) (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))))
	20.0b	(.f64 (/.f64 1 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	15.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 (/.f64 t l) (pow.f64 (sin.f64 k) 2)) l)))
	14.2b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l) l)))
	18.1b	(/.f64 2 (.f64 (/.f64 k 1) (.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))))
	20.1b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))) (cbrt.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))) (cbrt.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))))
	33.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	58.9b	(/.f64 2 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 k) 2) (log.f64 (cos.f64 k))) (-.f64 (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)) (*.f64 (log.f64 l) 2)))))

Compiler

Compiled 10390 to 6195 computations (40.4% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
✓	2.1b	(/.f64 (pow.f64 (sin.f64 k) 2) l)
✓	2.5b	(.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l))
✓	10.5b	(*.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l))

series430.0ms (1.4%)

Counts

4 → 112

Calls

4 calls:

234.0ms	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
128.0ms	(.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l))
49.0ms	(*.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l))
19.0ms	(/.f64 (pow.f64 (sin.f64 k) 2) l)

rewrite89.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

379×	`add-exp-log_binary64`
184×	`div-exp_binary64`
144×	`prod-exp_binary64`
112×	`add-cbrt-cube_binary64`
97×	`times-frac_binary64`

Counts

4 → 296

Calls

4 calls:

14.0ms	(*.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l))
12.0ms	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
4.0ms	(/.f64 (pow.f64 (sin.f64 k) 2) l)

simplify276.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

425×	`associate-*l/_binary64`
391×	`associate-*r/_binary64`
336×	`associate-/l*_binary64`
334×	`associate-l_binary64`
291×	`log-prod_binary64`

Counts

408 → 418

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	11603
1	1084	9754
2	4057	9746
3	4667	9746
4	5101	9746

prune787.0ms (2.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	408	10	418
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	416	22	438

Error

3.3b

Counts

438 → 22

Alt Table

Status	Error	Program
	13.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (cbrt.f64 t) l)) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
	33.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) 2) (sqrt.f64 (cos.f64 k))) (.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (sqrt.f64 (cos.f64 k))) (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
	15.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 (/.f64 t l) (pow.f64 (sin.f64 k) 2)) l)))
	55.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 l)) (/.f64 k (sqrt.f64 (cos.f64 k)))) (.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 l)) (/.f64 k (sqrt.f64 (cos.f64 k))))) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
	33.5b	(/.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)))
	20.0b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	14.1b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) t) (/.f64 1 l)) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
	13.8b	(.f64 (/.f64 1 (/.f64 (.f64 (.f64 k k) t) (.f64 l (cos.f64 k)))) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) l)))
	51.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (pow.f64 (sqrt.f64 (/.f64 k t)) 2)))
	22.8b	(.f64 (/.f64 1 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 2 (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2)))))
	58.3b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	15.1b	(.f64 (/.f64 2 (.f64 (*.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) t) (/.f64 (pow.f64 (sin.f64 k) 2) l))) l)
	14.1b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l (cos.f64 k))) (/.f64 (sin.f64 k) (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (sin.f64 k) (cbrt.f64 l))))
	21.4b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	20.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	58.9b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	20.1b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (.f64 (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))) (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))) (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))))
	12.6b	(.f64 (/.f64 2 (.f64 (*.f64 (pow.f64 k 2) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) 2) l))) (cos.f64 k))
	13.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 t l)) (/.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (sin.f64 k))) 2) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) (cbrt.f64 l))))
	48.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	9.6b	(/.f64 2 (.f64 (.f64 (/.f64 k 1) (*.f64 (/.f64 k (cos.f64 k)) (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) 2) l)))
	58.9b	(/.f64 2 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 k) 2) (log.f64 (cos.f64 k))) (-.f64 (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)) (*.f64 (log.f64 l) 2)))))

Compiler

Compiled 12573 to 6230 computations (50.4% saved)

regimes4.2s (13.7%)

Accuracy

Total 5.2b remaining (50.7%)

Threshold costs 0b (0%)

Counts

387 → 3

Compiler

Compiled 68896 to 48636 computations (29.4% saved)

bsearch189.0ms (0.6%)

Steps

Iters	Range		Point
5	2.2327298276736933e-39	6.355060851185937e-39	2.2685856286452325e-39
4	-4.638367559609263e-7	-1.3975502473259804e-8	-1.0296543156802884e-7

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	102
1	39	102
2	38	102

end451.0ms (1.5%)

Compiler: Compiled 760 to 511 computations (32.8% saved)

Details

analyze3.3s (10.8%)

sample17.3s (56.5%)

simplify33.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series368.0ms (1.2%)

rewrite63.0ms (0.2%)

simplify193.0ms (0.6%)

prune365.0ms (1.2%)

localize13.0ms (0%)

series415.0ms (1.4%)

rewrite67.0ms (0.2%)

simplify168.0ms (0.5%)

prune491.0ms (1.6%)

localize13.0ms (0%)

series446.0ms (1.5%)

rewrite74.0ms (0.2%)

simplify226.0ms (0.7%)

prune647.0ms (2.1%)

localize13.0ms (0%)

series430.0ms (1.4%)

rewrite89.0ms (0.3%)

simplify276.0ms (0.9%)

prune787.0ms (2.6%)

regimes4.2s (13.7%)

bsearch189.0ms (0.6%)

simplify3.0ms (0%)

end451.0ms (1.5%)

Profiling