Details

analyze3.5s (12.3%)

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)

sample590.0ms (2.1%)

Algorithm

1×

intervals

Results

193.0ms	48×	body	4096	invalid
89.0ms	113×	body	1024	valid
85.0ms	45×	body	2048	invalid
49.0ms	39×	body	2048	valid
25.0ms	36×	body	1024	invalid
25.0ms	15×	body	4096	valid
22.0ms	43×	body	512	valid
15.0ms	31×	body	512	invalid
6.0ms	18×	body	256	valid
5.0ms	28×	body	128	valid
5.0ms	29×	body	128	invalid
3.0ms	5×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify31.0ms (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

42.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	42.8b	(/.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
✓	0.4b	(/.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)))
✓	0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	16.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	31.2b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series639.0ms (2.3%)

Counts

4 → 132

Calls

4 calls:

326.0ms	(/.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)))
165.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
103.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
45.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite91.0ms (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:

18.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
18.0ms	(/.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)))
10.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify207.0ms (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

prune438.0ms (1.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	275	20	295
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	20	296

Error

17.5b

Counts

296 → 20

Alt Table

Status	Error	Program
	32.9b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
	60.2b	(/.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)))
▶	24.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	43.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 k t) 2)))
	59.8b	(exp.f64 (-.f64 (log.f64 2) (+.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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	37.0b	(/.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)))
	39.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (.f64 (cbrt.f64 (/.f64 k t)) (cbrt.f64 (/.f64 k t))) 2)) (pow.f64 (cbrt.f64 (/.f64 k t)) 2)))
	60.5b	(exp.f64 (-.f64 (log.f64 2) (+.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))))
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	42.9b	(.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)))
	62.3b	(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 (log.f64 (/.f64 k t)) 2))))
	37.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	49.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.8b	(/.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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	49.3b	(/.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)))
	46.3b	(/.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)))
	49.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 t)) l) (/.f64 (.f64 t (sqrt.f64 t)) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	49.3b	(/.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)))
	24.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	38.2b	(/.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)))

Compiler

Compiled 9808 to 5150 computations (47.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.0b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	20.0b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series263.0ms (0.9%)

Counts

4 → 16

Calls

4 calls:

212.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
29.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
19.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

rewrite44.0ms (0.2%)

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:

12.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 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))
2.0ms	(pow.f64 (sin.f64 k) 2)

simplify96.0ms (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

prune433.0ms (1.5%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	174	14	188
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	182	26	208

Error

11.7b

Counts

208 → 26

Alt Table

Status	Error	Program
	46.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 k) 2)))))
	60.2b	(/.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)))
	24.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 t (.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))))))
▶	20.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	37.3b	(.f64 2 (cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)) 3) (pow.f64 k 6))))
	43.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 k t) 2)))
	24.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))
	46.5b	(.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)))))))
	59.8b	(exp.f64 (-.f64 (log.f64 2) (+.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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	37.0b	(/.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)))
	22.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	55.9b	(.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)))))))
	42.9b	(.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)))
	62.3b	(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 (log.f64 (/.f64 k t)) 2))))
	21.9b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k k) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	37.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	49.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.3b	(.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)))))))
	60.3b	(.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)))))))
	49.3b	(/.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)))
	46.3b	(/.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)))
	49.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 t)) l) (/.f64 (.f64 t (sqrt.f64 t)) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	30.3b	(.f64 2 (.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	59.2b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	24.2b	(.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))))))
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 6393 to 4102 computations (35.8% saved)

localize15.0ms (0.1%)

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)
	1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	20.0b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

series233.0ms (0.8%)

Counts

2 → 40

Calls

2 calls:

209.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
24.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite28.0ms (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:

14.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
5.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify70.0ms (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

prune440.0ms (1.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	7	18	25
Picked	1	0	1
Done	0	0	0
Total	166	26	192

Error

11.2b

Counts

192 → 26

Alt Table

Status	Error	Program
	46.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 k) 2)))))
	60.2b	(/.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)))
	37.3b	(.f64 2 (cbrt.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)) 3) (pow.f64 k 6))))
	43.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 k t) 2)))
	46.5b	(.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)))))))
	20.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	18.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	37.0b	(/.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)))
	59.8b	(exp.f64 (-.f64 (log.f64 2) (+.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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	18.6b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	55.9b	(.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)))))))
	21.9b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k k) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	37.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	49.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.3b	(.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)))))))
	20.5b	(.f64 2 (.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (/.f64 1 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	49.3b	(/.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)))
	20.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))))))
▶	18.2b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))
	46.3b	(/.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)))
	49.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 t)) l) (/.f64 (.f64 t (sqrt.f64 t)) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.2b	(.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))))))
	62.0b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 k) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (*.f64 (log.f64 (sin.f64 k)) 2)))))))
	20.8b	(.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))

Compiler

Compiled 5855 to 3550 computations (39.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	2.8b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	18.0b	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

series361.0ms (1.3%)

Counts

2 → 40

Calls

2 calls:

209.0ms	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
151.0ms	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite78.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

181×	`add-exp-log_binary64`
95×	`prod-exp_binary64`
61×	`div-exp_binary64`
43×	`add-cbrt-cube_binary64`
26×	`times-frac_binary64`

Counts

2 → 128

Calls

2 calls:

14.0ms	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
7.0ms	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

simplify125.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/l/_binary64`
513×	`fma-def_binary64`
302×	`associate-/r/_binary64`
211×	`times-frac_binary64`
186×	`associate-l_binary64`

Counts

168 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4936
1	567	4216
2	2175	4200
3	4453	4200
4	4990	4200

prune508.0ms (1.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	244	10	254
Fresh	11	14	25
Picked	1	0	1
Done	0	0	0
Total	256	24	280

Error

2.9b

Counts

280 → 24

Alt Table

Status	Error	Program
	46.5b	(.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)))))))
	20.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	62.0b	(.f64 2 (exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 k) k)) (-.f64 (.f64 (log.f64 l) 2) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (*.f64 (log.f64 (sin.f64 k)) 2)))))))
	18.5b	(.f64 2 (.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (.f64 (cbrt.f64 k) (cbrt.f64 k))) (.f64 (/.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 k)) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	18.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	37.0b	(/.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)))
	59.8b	(exp.f64 (-.f64 (log.f64 2) (+.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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	8.9b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l (/.f64 k (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	18.6b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	12.1b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) l))))
	12.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 (.f64 l (cbrt.f64 l)) k) (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	22.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	35.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 (sqrt.f64 l) 2) (/.f64 k (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	11.3b	(.f64 2 (.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l k)) (/.f64 l (.f64 t (pow.f64 (sin.f64 k) 2)))))
	37.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.5b	(.f64 2 (.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (/.f64 1 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	49.3b	(/.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)))
	14.3b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 1 (/.f64 k (.f64 (/.f64 l (.f64 t (pow.f64 (sin.f64 k) 2))) l)))))
	36.3b	(.f64 2 (.f64 (.f64 (/.f64 l k) (/.f64 (cos.f64 k) k)) (/.f64 (pow.f64 (sqrt.f64 l) 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	46.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 k) 2)))))
	43.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 k t) 2)))
	17.8b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k))))))
	20.8b	(.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
	46.3b	(/.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 7539 to 4031 computations (46.5% saved)

regimes3.5s (12.6%)

Accuracy

Total 4.1b remaining (52.4%)

Threshold costs 0b (0%)

Counts

266 → 5

Compiler

Compiled 48029 to 33981 computations (29.2% saved)

bsearch1.1s (3.9%)

Steps

Iters	Range		Point
10	2.9553465204267084e+146	3.085520693572211e+157	7.006789343459675e+148
8	2.425801167615052e-53	2.6029681218695306e-49	2.2868762441407734e-51
10	-6.079406507001292e+56	-3.083365241136234e+43	-6.612126816598227e+43
7	-2.891242695745733e+128	-6.260538294245509e+126	-2.1513562525415348e+127

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`if-not_binary64`
3×	`if-if-or-not_binary64`
3×	`not-not_bool`
3×	`not-or_bool`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	142
1	43	115
2	46	88
3	52	86
4	55	86
5	58	86
6	58	86
7	59	86
8	59	86

end1.0ms (0%)

Compiler: Compiled 59 to 40 computations (32.2% saved)

sample15.3s (54.3%)

Algorithm

1×

intervals

Results

4.4s	1217×	body	4096	invalid
3.0s	3893×	body	1024	valid
2.4s	1055×	body	2048	invalid
1.3s	999×	body	2048	valid
932.0ms	451×	body	4096	valid
732.0ms	1415×	body	512	valid
521.0ms	703×	body	1024	invalid
253.0ms	496×	body	512	invalid
172.0ms	990×	body	128	invalid
169.0ms	462×	body	256	valid
143.0ms	780×	body	128	valid
95.0ms	296×	body	256	invalid

Compiler

Compiled 745 to 523 computations (29.8% saved)

Details

analyze3.5s (12.3%)

sample590.0ms (2.1%)

simplify31.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series639.0ms (2.3%)

rewrite91.0ms (0.3%)

simplify207.0ms (0.7%)

prune438.0ms (1.6%)

localize15.0ms (0.1%)

series263.0ms (0.9%)

rewrite44.0ms (0.2%)

simplify96.0ms (0.3%)

prune433.0ms (1.5%)

localize15.0ms (0.1%)

series233.0ms (0.8%)

rewrite28.0ms (0.1%)

simplify70.0ms (0.3%)

prune440.0ms (1.6%)

localize15.0ms (0.1%)

series361.0ms (1.3%)

rewrite78.0ms (0.3%)

simplify125.0ms (0.4%)

prune508.0ms (1.8%)

regimes3.5s (12.6%)

bsearch1.1s (3.9%)

simplify6.0ms (0%)

end1.0ms (0%)

sample15.3s (54.3%)

Profiling