Details

analyze2.8s (17%)

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
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample217.0ms (1.3%)

Algorithm

1×

intervals

Results

60.0ms	79×	body	1024	valid
20.0ms	36×	body	512	valid
19.0ms	116×	body	128	valid
9.0ms	25×	body	256	valid
9.0ms	54×	body	128	invalid
1.0ms	3×	body	512	invalid
1.0ms	2×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
431×	`associate-/r/_binary64`
404×	`associate-/r*_binary64`
395×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	181	35
3	898	35
4	3262	35
5	4861	35
6	4933	35
7	5155	35

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

33.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	33.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 103 to 71 computations (31.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.1b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	14.0b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
✓	18.4b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series469.0ms (2.8%)

Counts

4 → 132

Calls

4 calls:

217.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
135.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
79.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
38.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite61.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`add-exp-log_binary64`
58×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
28×	`times-frac_binary64`
26×	`add-sqr-sqrt_binary64`

Counts

4 → 167

Calls

4 calls:

19.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (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))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify223.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-def_binary64`
569×	`associate-l_binary64`
436×	`associate-r_binary64`
248×	`*-commutative_binary64`
210×	`log-prod_binary64`

Counts

299 → 235

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	7807
1	869	7006
2	3862	6945
3	4830	6945
4	5036	6945

prune442.0ms (2.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	219	16	235
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	16	236

Error

14.2b

Counts

236 → 16

Alt Table

Status	Error	Program
	23.3b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	61.6b	(/.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))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	42.2b	(/.f64 2 (+.f64 (/.f64 (.f64 (pow.f64 k 4) t) (pow.f64 l 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 k 4) (pow.f64 t 3)) (pow.f64 l 2))) (+.f64 (.f64 31/180 (/.f64 (.f64 (pow.f64 k 6) (pow.f64 t 3)) (pow.f64 l 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 k 6) t) (pow.f64 l 2))) (.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (pow.f64 t 3)) (pow.f64 l 2))))))))
	45.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t (/.f64 3 2)) l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.8b	(/.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 (.f64 l l) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	59.6b	(/.f64 2 (.f64 (exp.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 2 (pow.f64 (/.f64 k t) 2))))
	35.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
▶	23.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.9b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (fma.f64 31/180 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 6)) (.f64 l l)) (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	48.6b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (*.f64 l l)))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	23.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.6b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	60.5b	(/.f64 2 (.f64 (exp.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 2 (pow.f64 (/.f64 k t) 2))))
	47.2b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	60.1b	(/.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))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))

Compiler

Compiled 8869 to 5064 computations (42.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	3.8b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	7.7b	(/.f64 (*.f64 t t) l)
✓	14.0b	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series378.0ms (2.3%)

Counts

4 → 132

Calls

4 calls:

210.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
132.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
21.0ms	(*.f64 (/.f64 t l) (sin.f64 k))
15.0ms	(/.f64 (*.f64 t t) l)

rewrite72.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`add-cbrt-cube_binary64`
120×	`add-exp-log_binary64`
70×	`cbrt-unprod_binary64`
70×	`prod-exp_binary64`
44×	`associate-*l/_binary64`

Counts

4 → 167

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
6.0ms	(/.f64 (*.f64 t t) l)
5.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify243.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary64`
668×	`associate-r_binary64`
357×	`*-commutative_binary64`
255×	`associate-*l/_binary64`
183×	`distribute-rgt-in_binary64`

Counts

299 → 266

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	8901
1	1100	7091
2	3652	7057
3	4718	7057
4	4971	7057
5	4931	7057

prune572.0ms (3.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	257	9	266
Fresh	10	5	15
Picked	1	0	1
Done	0	0	0
Total	268	14	282

Error

11.0b

Counts

282 → 14

Alt Table

Status	Error	Program
	26.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t (sin.f64 k)) l) 3))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.2b	(/.f64 2 (+.f64 (/.f64 (.f64 (pow.f64 k 4) t) (pow.f64 l 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 k 4) (pow.f64 t 3)) (pow.f64 l 2))) (+.f64 (.f64 31/180 (/.f64 (.f64 (pow.f64 k 6) (pow.f64 t 3)) (pow.f64 l 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 k 6) t) (pow.f64 l 2))) (.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (pow.f64 t 3)) (pow.f64 l 2))))))))
	45.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t (/.f64 3 2)) l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.8b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	48.6b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (*.f64 l l)))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (sqrt.f64 l)) (/.f64 t (sqrt.f64 l))) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	40.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (fma.f64 (/.f64 (.f64 t (pow.f64 k 3)) l) -1/6 (/.f64 (.f64 k t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	41.9b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (fma.f64 31/180 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 6)) (.f64 l l)) (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	60.1b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (log.f64 (*.f64 (/.f64 t l) (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
▶	18.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	31.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 t 3)) l)) (*.f64 l (cos.f64 k))))

Compiler

Compiled 10576 to 4567 computations (56.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))
✓	3.0b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
	3.8b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	14.0b	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series417.0ms (2.5%)

Counts

3 → 108

Calls

3 calls:

210.0ms

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

131.0ms

(*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))

76.0ms

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

rewrite84.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

145×	`add-cbrt-cube_binary64`
145×	`add-exp-log_binary64`
76×	`cbrt-unprod_binary64`
76×	`prod-exp_binary64`
66×	`times-frac_binary64`

Counts

3 → 188

Calls

3 calls:

22.0ms

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

14.0ms

(*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))

12.0ms

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

simplify217.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
546×	`*-commutative_binary64`
533×	`distribute-rgt-in_binary64`
350×	`associate-*l/_binary64`
220×	`associate-/l*_binary64`

Counts

296 → 325

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	10198
1	1359	8093
2	3659	8029
3	5190	8029

prune690.0ms (4.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	382	5	387
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	389	12	401

Error

8.6b

Counts

401 → 12

Alt Table

Status	Error	Program
	26.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t (sin.f64 k)) l) 3))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.2b	(/.f64 2 (+.f64 (/.f64 (.f64 (pow.f64 k 4) t) (pow.f64 l 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 k 4) (pow.f64 t 3)) (pow.f64 l 2))) (+.f64 (.f64 31/180 (/.f64 (.f64 (pow.f64 k 6) (pow.f64 t 3)) (pow.f64 l 2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 k 6) t) (pow.f64 l 2))) (.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (pow.f64 t 3)) (pow.f64 l 2))))))))
	18.1b	(/.f64 2 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	31.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 t 3)) l)) (*.f64 l (cos.f64 k))))
▶	14.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 l t)))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 t (/.f64 l t))) (cbrt.f64 (/.f64 t (/.f64 l t)))) (.f64 (cbrt.f64 (/.f64 t (/.f64 l t))) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.9b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (fma.f64 31/180 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 6)) (.f64 l l)) (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	48.6b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (*.f64 l l)))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))) (cbrt.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))))) (cbrt.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 14982 to 6029 computations (59.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
	3.8b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	6.1b	(/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 l t))
✓	10.7b	(.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series468.0ms (2.8%)

Counts

3 → 108

Calls

3 calls:

208.0ms

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

176.0ms

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

84.0ms

(*.f64 (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))

rewrite70.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-cbrt-cube_binary64`
97×	`add-exp-log_binary64`
51×	`cbrt-unprod_binary64`
51×	`prod-exp_binary64`
31×	`times-frac_binary64`

Counts

3 → 145

Calls

3 calls:

21.0ms

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

17.0ms

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

7.0ms

(*.f64 (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))

simplify190.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

650×	`associate-l_binary64`
568×	`associate-/l*_binary64`
544×	`fma-def_binary64`
310×	`times-frac_binary64`
205×	`associate-*l/_binary64`

Counts

253 → 277

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	9901
1	1170	8597
2	4943	8586
3	5331	8586

prune759.0ms (4.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	332	7	339
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	339	12	351

Error

6.9b

Counts

351 → 12

Alt Table

Status	Error	Program
	18.1b	(/.f64 2 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	15.0b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (cbrt.f64 (tan.f64 k)) (cbrt.f64 (tan.f64 k)))) (cbrt.f64 (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 l t)))
	14.8b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (/.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 l t))))
	20.6b	(/.f64 2 (/.f64 (/.f64 (fma.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (.f64 t t)) (cos.f64 k)) (/.f64 (.f64 (.f64 k k) (pow.f64 (sin.f64 k) 2)) (cos.f64 k))) l) (/.f64 l t)))
	26.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t (sin.f64 k)) l) 3))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))) (cbrt.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))))) (cbrt.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.6b	(/.f64 2 (/.f64 (.f64 t (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 t l)) (tan.f64 k)) (fma.f64 -1 (pow.f64 (/.f64 k t) 2) -2))) (neg.f64 (/.f64 l t))))
	14.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 l t)))
	33.2b	(/.f64 2 (/.f64 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t t)) l) (fma.f64 1/3 (/.f64 (.f64 (*.f64 t t) (pow.f64 k 4)) l) (/.f64 (pow.f64 k 4) l))) (/.f64 l t)))
	35.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 t (/.f64 l t))) (cbrt.f64 (/.f64 t (/.f64 l t)))) (.f64 (cbrt.f64 (/.f64 t (/.f64 l t))) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.2b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 t (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) l) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) t)))

Compiler

Compiled 12708 to 5130 computations (59.6% saved)

regimes3.4s (20.3%)

Accuracy

Total 3.3b remaining (31.5%)

Threshold costs 0b (0%)

Counts

241 → 3

Compiler

Compiled 50864 to 34649 computations (31.9% saved)

bsearch202.0ms (1.2%)

Steps

Iters	Range		Point
6	6.44017602922597e-118	5.66702208003008e-117	5.5886458054474e-117
10	-6.382928689047812e-138	-5.848796670401241e-151	-6.26937260713412e-138

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	137
1	50	137
2	50	137

end1.0ms (0%)

Compiler: Compiled 93 to 51 computations (45.2% saved)

sample4.5s (27.1%)

Algorithm

1×

intervals

Results

2.0s	2688×	body	1024	valid
617.0ms	1229×	body	512	valid
611.0ms	3485×	body	128	valid
239.0ms	1450×	body	128	invalid
193.0ms	592×	body	256	valid
70.0ms	142×	body	512	invalid
51.0ms	59×	body	1024	invalid
27.0ms	84×	body	256	invalid
7.0ms	6×	body	2048	valid

Compiler

Compiled 528 to 322 computations (39% saved)

Details

analyze2.8s (17%)

sample217.0ms (1.3%)

simplify52.0ms (0.3%)

prune4.0ms (0%)

localize19.0ms (0.1%)

series469.0ms (2.8%)

rewrite61.0ms (0.4%)

simplify223.0ms (1.3%)

prune442.0ms (2.7%)

localize18.0ms (0.1%)

series378.0ms (2.3%)

rewrite72.0ms (0.4%)

simplify243.0ms (1.5%)

prune572.0ms (3.5%)

localize17.0ms (0.1%)

series417.0ms (2.5%)

rewrite84.0ms (0.5%)

simplify217.0ms (1.3%)

prune690.0ms (4.2%)

localize19.0ms (0.1%)

series468.0ms (2.8%)

rewrite70.0ms (0.4%)

simplify190.0ms (1.1%)

prune759.0ms (4.6%)

regimes3.4s (20.3%)

bsearch202.0ms (1.2%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.5s (27.1%)

Profiling