Details

analyze3.5s (12.5%)

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)

sample17.7s (63.9%)

Results

5.1s	1261×	body	4096	invalid
4.1s	3989×	body	1024	valid
3.0s	1125×	body	2048	invalid
1.5s	1032×	body	2048	valid
1.2s	466×	body	4096	valid
938.0ms	1424×	body	512	valid
691.0ms	730×	body	1024	invalid
352.0ms	524×	body	512	invalid
265.0ms	1010×	body	128	invalid
259.0ms	536×	body	256	valid
209.0ms	809×	body	128	valid
127.0ms	290×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify37.0ms (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

40.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	40.3b	(/.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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.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)))
✓	1.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	14.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	28.8b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series518.0ms (1.9%)

Counts

4 → 132

Calls

4 calls:

268.0ms	(/.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)))
133.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
73.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
44.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite80.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`add-exp-log_binary64`
229×	`prod-exp_binary64`
115×	`div-exp_binary64`
65×	`add-cbrt-cube_binary64`
56×	`pow-exp_binary64`

Counts

4 → 229

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))
14.0ms	(/.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)))
7.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify197.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

488×	`unswap-sqr_binary64`
473×	`associate-l_binary64`
352×	`associate-r_binary64`
242×	`associate-/r*_binary64`
189×	`*-commutative_binary64`

Counts

361 → 295

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	9672
1	835	8714
2	3637	8657
3	5098	8657

prune378.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	282	13	295
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	283	13	296

Error

14.6b

Counts

296 → 13

Alt Table

Status	Error	Program
	37.7b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	37.2b	(/.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)))
	21.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	39.4b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (sin.f64 k)) (pow.f64 (/.f64 k t) 2))) (.f64 (.f64 l l) (cos.f64 k)))
	55.0b	(/.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)))
	61.2b	(exp.f64 (-.f64 (log.f64 2) (+.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))))
	36.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.5b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	40.3b	(.f64 (/.f64 2 (.f64 (pow.f64 (/.f64 k t) 2) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (.f64 l l))))) (cos.f64 k))
	34.8b	(/.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 (.f64 2 (/.f64 (.f64 l l) (.f64 t (pow.f64 k 4)))) (fma.f64 1/3 (/.f64 (.f64 l l) (.f64 (.f64 k k) t)) (.f64 7/60 (/.f64 (.f64 l l) t))))
	48.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	21.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))

Compiler

Compiled 9396 to 4862 computations (48.3% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.6b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	18.9b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series243.0ms (0.9%)

Counts

4 → 16

Calls

4 calls:

198.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
26.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
14.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

rewrite36.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`add-exp-log_binary64`
147×	`prod-exp_binary64`
52×	`div-exp_binary64`
50×	`pow-exp_binary64`
50×	`pow-to-exp_binary64`

Counts

4 → 155

Calls

4 calls:

8.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
7.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
4.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
2.0ms	(pow.f64 (sin.f64 k) 2)

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-*l/_binary64`
386×	`associate-/l/_binary64`
375×	`fma-def_binary64`
286×	`times-frac_binary64`
260×	`cancel-sign-sub-inv_binary64`

Counts

171 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	4005
1	522	3403
2	2208	3367
3	5252	3367

prune342.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	177	11	188
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	182	19	201

Error

11.1b

Counts

201 → 19

Alt Table

Status	Error	Program
	21.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (cbrt.f64 t) (pow.f64 (sin.f64 k) 2))))))
	20.3b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (pow.f64 k 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	21.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	21.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k k) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	55.2b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	60.0b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	37.7b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	37.2b	(/.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)))
	21.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	46.9b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	36.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.5b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
▶	19.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	61.2b	(exp.f64 (-.f64 (log.f64 2) (+.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))))
	42.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 (sqrt.f64 k) 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	40.3b	(.f64 (/.f64 2 (.f64 (pow.f64 (/.f64 k t) 2) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (.f64 l l))))) (cos.f64 k))
	34.8b	(/.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)))
	48.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.7b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (pow.f64 (cbrt.f64 (sin.f64 k)) 4)) (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))))

Compiler

Compiled 5925 to 3776 computations (36.3% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
	0.4b	(pow.f64 (sin.f64 k) 2)
	1.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	18.9b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

series216.0ms (0.8%)

Counts

2 → 40

Calls

2 calls:

194.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
22.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`add-exp-log_binary64`
73×	`prod-exp_binary64`
39×	`add-cbrt-cube_binary64`
24×	`div-exp_binary64`
19×	`cbrt-unprod_binary64`

Counts

2 → 68

Calls

2 calls:

10.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
4.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

781×	`associate-*l/_binary64`
546×	`associate-/l/_binary64`
374×	`times-frac_binary64`
220×	`associate-/r/_binary64`
206×	`associate-r_binary64`

Counts

108 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	3197
1	433	2661
2	2007	2635
3	5262	2635

prune316.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	5	13	18
Picked	0	1	1
Done	0	0	0
Total	166	19	185

Error

9.9b

Counts

185 → 19

Alt Table

Status	Error	Program
	21.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	21.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k k) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	55.2b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	19.7b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	21.5b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	17.2b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	60.0b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	37.7b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	37.2b	(/.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)))
	21.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
▶	17.2b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	19.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	19.6b	(.f64 2 (/.f64 1 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	46.9b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	36.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	61.2b	(exp.f64 (-.f64 (log.f64 2) (+.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))))
	18.4b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))
	34.8b	(/.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)))
	48.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 5385 to 3230 computations (40% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	1.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.4b	(/.f64 (*.f64 (cos.f64 k) (pow.f64 l 2)) k)
✓	12.3b	(/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))

series222.0ms (0.8%)

Counts

2 → 40

Calls

2 calls:

202.0ms	(/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))
20.0ms	(/.f64 (*.f64 (cos.f64 k) (pow.f64 l 2)) k)

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`add-exp-log_binary64`
53×	`prod-exp_binary64`
49×	`div-exp_binary64`
43×	`add-cbrt-cube_binary64`
17×	`cbrt-undiv_binary64`

Counts

2 → 87

Calls

2 calls:

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

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
571×	`associate-/r/_binary64`
517×	`*-commutative_binary64`
351×	`fma-neg_binary64`
198×	`times-frac_binary64`

Counts

127 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	3795
1	475	3178
2	1946	3150
3	4162	3146
4	4942	3146
5	4986	3146

prune404.0ms (1.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	203	6	209
Fresh	4	13	17
Picked	1	0	1
Done	0	1	1
Total	208	20	228

Error

9.3b

Counts

228 → 20

Alt Table

Status	Error	Program
	21.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	55.2b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	17.2b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	16.9b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))
	60.0b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	37.7b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	37.2b	(/.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)))
	21.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	19.9b	(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 (cbrt.f64 k) (cbrt.f64 k))) k) (/.f64 (/.f64 (pow.f64 l 2) (cbrt.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	46.9b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	36.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	17.2b	(.f64 2 (/.f64 (/.f64 1 (/.f64 k (.f64 (cos.f64 k) (pow.f64 l 2)))) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	34.8b	(/.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)))
	17.2b	(.f64 2 (/.f64 1 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k))))
	21.5b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	19.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	61.2b	(exp.f64 (-.f64 (log.f64 2) (+.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))))
	17.7b	(.f64 2 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k)) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k))) k) (/.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	58.1b	(.f64 2 (/.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 k))) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	48.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 6096 to 3423 computations (43.8% saved)

regimes1.8s (6.3%)

Accuracy

Total 5.0b remaining (32.4%)

Threshold costs 0b (0%)

Counts

187 → 5

Compiler

Compiled 32033 to 22870 computations (28.6% saved)

bsearch1.0s (3.7%)

Steps

Iters	Range		Point
9	1.373765281495732e+145	5.332080599185131e+150	5.272850259066194e+150
5	1.2425719896758318e-31	1.46359773287305e-19	3.2215186419299803e-25
4	-7.079481599683914e-88	-4.628547849222377e-88	-6.63427884816766e-88
9	-5.384919656931425e+169	-1.0392911968868244e+163	-1.0549950545558547e+163

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	185
1	67	185
2	67	185

end398.0ms (1.4%)

Compiler: Compiled 790 to 525 computations (33.5% saved)

Details

analyze3.5s (12.5%)

sample17.7s (63.9%)

simplify37.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series518.0ms (1.9%)

rewrite80.0ms (0.3%)

simplify197.0ms (0.7%)

prune378.0ms (1.4%)

localize13.0ms (0%)

series243.0ms (0.9%)

rewrite36.0ms (0.1%)

simplify91.0ms (0.3%)

prune342.0ms (1.2%)

localize13.0ms (0%)

series216.0ms (0.8%)

rewrite23.0ms (0.1%)

simplify73.0ms (0.3%)

prune316.0ms (1.1%)

localize13.0ms (0%)

series222.0ms (0.8%)

rewrite24.0ms (0.1%)

simplify129.0ms (0.5%)

prune404.0ms (1.5%)

regimes1.8s (6.3%)

bsearch1.0s (3.7%)

simplify5.0ms (0%)

end398.0ms (1.4%)

Profiling