Details

analyze2.9s (16.9%)

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)

sample5.4s (31.3%)

Results

2.8s	2808×	body	1024	valid
904.0ms	3641×	body	128	valid
797.0ms	1229×	body	512	valid
350.0ms	1439×	body	128	invalid
259.0ms	572×	body	256	valid
89.0ms	131×	body	512	invalid
64.0ms	69×	body	1024	invalid
45.0ms	100×	body	256	invalid
9.0ms	6×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify54.0ms (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

31.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	31.7b	(/.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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	4.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	11.3b	(.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)))
✓	17.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series434.0ms (2.5%)

Counts

4 → 132

Calls

4 calls:

199.0ms	(.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)))
126.0ms	(.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))
35.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite58.0ms (0.3%)

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:

18.0ms	(.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 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
9.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify195.0ms (1.1%)

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 → 234

Iterations

Useful iterations: 2 (0.0ms)

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

prune372.0ms (2.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	218	16	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	16	235

Error

13.2b

Counts

235 → 16

Alt Table

Status	Error	Program
▶	24.3b	(/.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))))
	38.7b	(/.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))))))))
	52.4b	(/.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))))
	60.2b	(/.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))))))
	57.6b	(/.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))))
	42.9b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (/.f64 (pow.f64 (cbrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.3b	(/.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))))
	54.3b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.4b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	32.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	42.4b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 8756 to 4980 computations (43.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	4.1b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	9.8b	(/.f64 (*.f64 t t) l)
✓	11.3b	(.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)))

series354.0ms (2.1%)

Counts

4 → 132

Calls

4 calls:

194.0ms	(.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)))
126.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
22.0ms	(*.f64 (/.f64 t l) (sin.f64 k))
12.0ms	(/.f64 (*.f64 t t) l)

rewrite75.0ms (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:

26.0ms	(.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)))
11.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
7.0ms	(*.f64 (/.f64 t l) (sin.f64 k))
4.0ms	(/.f64 (*.f64 t t) l)

simplify234.0ms (1.4%)

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

prune486.0ms (2.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	260	6	266
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	269	13	282

Error

8.3b

Counts

282 → 13

Alt Table

Status	Error	Program
	26.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (/.f64 (pow.f64 (cbrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.3b	(/.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))))
▶	16.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	43.5b	(/.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))))
	32.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	27.3b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (sin.f64 k) (pow.f64 t 3)) l))) l))
	38.7b	(/.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))))))))
	41.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.6b	(/.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))))
	30.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	23.9b	(/.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))

Compiler

Compiled 10458 to 4473 computations (57.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k)))
	2.8b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	4.1b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	11.3b	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series405.0ms (2.4%)

Counts

3 → 108

Calls

3 calls:

202.0ms

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

128.0ms

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

75.0ms

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

rewrite73.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

145×	`add-cbrt-cube_binary64`
145×	`add-exp-log_binary64`
94×	`cbrt-unprod_binary64`
94×	`prod-exp_binary64`
58×	`pow1_binary64`

Counts

3 → 151

Calls

3 calls:

22.0ms

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

12.0ms

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

8.0ms

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

simplify235.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

883×	`times-frac_binary64`
537×	`fma-def_binary64`
446×	`*-commutative_binary64`
201×	`distribute-lft-in_binary64`
201×	`distribute-rgt-in_binary64`

Counts

259 → 230

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	9435
1	1035	7300
2	2673	7264
3	4738	7264
4	5000	7264
5	4914	7264

prune497.0ms (2.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	286	6	292
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	290	15	305

Error

7.8b

Counts

305 → 15

Alt Table

Status	Error	Program
	38.7b	(/.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))))))))
	16.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 t l) (sin.f64 k))) (cbrt.f64 (.f64 (/.f64 t l) (sin.f64 k)))) (cbrt.f64 (*.f64 (/.f64 t l) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.6b	(/.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))))
	20.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 k t) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	27.3b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (sin.f64 k) (pow.f64 t 3)) l))) l))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 t (/.f64 (sin.f64 k) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	16.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	18.0b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (sin.f64 k) (*.f64 (/.f64 t l) (/.f64 t l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (/.f64 (pow.f64 (cbrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.3b	(/.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))))
	30.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	23.9b	(/.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))
	22.3b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))

Compiler

Compiled 11643 to 4924 computations (57.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.1b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	5.0b	(.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	10.1b	(sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))
✓	10.5b	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series379.0ms (2.2%)

Counts

3 → 96

Calls

3 calls:

200.0ms

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

161.0ms

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

19.0ms

(sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite138.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`frac-times_binary64`
159×	`associate-*l/_binary64`
134×	`add-cbrt-cube_binary64`
134×	`add-exp-log_binary64`
114×	`sqrt-div_binary64`

Counts

3 → 212

Calls

3 calls:

35.0ms

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

23.0ms

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

7.0ms

(sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))

simplify395.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

348×	`times-frac_binary64`
282×	`*-commutative_binary64`
269×	`associate-/l*_binary64`
247×	`associate-/r*_binary64`
223×	`fma-neg_binary64`

Counts

308 → 369

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	554	16140
1	1718	13554
2	4564	13378
3	4784	13378
4	4986	13378
5	4940	13378

prune1.2s (6.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	482	2	484
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	482	17	499

Error

7.7b

Counts

499 → 17

Alt Table

Status	Error	Program
	38.7b	(/.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))))))))
	16.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 t l) (sin.f64 k))) (cbrt.f64 (.f64 (/.f64 t l) (sin.f64 k)))) (cbrt.f64 (*.f64 (/.f64 t l) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.6b	(/.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))))
	20.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 k t) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.0b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (*.f64 l (cos.f64 k))))
	32.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	27.3b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (sin.f64 k) (pow.f64 t 3)) l))) l))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 t (/.f64 (sin.f64 k) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	16.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	18.0b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (sin.f64 k) (*.f64 (/.f64 t l) (/.f64 t l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (/.f64 (pow.f64 (cbrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.3b	(/.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))))
	16.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))))
	30.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	23.9b	(/.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))
	22.3b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))

Compiler

Compiled 25816 to 13014 computations (49.6% saved)

regimes2.6s (15%)

Accuracy

Total 4.1b remaining (30.5%)

Threshold costs 0b (0%)

Counts

210 → 4

Compiler

Compiled 44659 to 30250 computations (32.3% saved)

bsearch310.0ms (1.8%)

Steps

Iters	Range		Point
5	2.3294066932357052e+89	5.447901925589485e+89	5.349222940678248e+89
8	4.479356927788371e-77	9.90227738901204e-73	5.144889772886934e-73
9	-6.912086170963995e-180	-8.452804507994884e-186	-6.838119426725515e-180

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	158
1	56	158
2	56	158

end373.0ms (2.2%)

Compiler: Compiled 791 to 507 computations (35.9% saved)

Details

analyze2.9s (16.9%)

sample5.4s (31.3%)

simplify54.0ms (0.3%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series434.0ms (2.5%)

rewrite58.0ms (0.3%)

simplify195.0ms (1.1%)

prune372.0ms (2.2%)

localize17.0ms (0.1%)

series354.0ms (2.1%)

rewrite75.0ms (0.4%)

simplify234.0ms (1.4%)

prune486.0ms (2.8%)

localize15.0ms (0.1%)

series405.0ms (2.4%)

rewrite73.0ms (0.4%)

simplify235.0ms (1.4%)

prune497.0ms (2.9%)

localize18.0ms (0.1%)

series379.0ms (2.2%)

rewrite138.0ms (0.8%)

simplify395.0ms (2.3%)

prune1.2s (6.8%)

regimes2.6s (15%)

bsearch310.0ms (1.8%)

simplify4.0ms (0%)

end373.0ms (2.2%)

Profiling