Details

analyze2.7s (15.4%)

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)

sample5.3s (29.7%)

Results

2.7s	2731×	body	1024	valid
875.0ms	3681×	body	128	valid
854.0ms	1260×	body	512	valid
362.0ms	1475×	body	128	invalid
251.0ms	571×	body	256	valid
79.0ms	127×	body	512	invalid
51.0ms	116×	body	256	invalid
49.0ms	51×	body	1024	invalid
18.0ms	13×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify53.0ms (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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

33.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	33.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 107 to 75 computations (29.9% saved)

localize19.0ms (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))
✓	2.9b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	14.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
✓	19.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series435.0ms (2.5%)

Counts

4 → 132

Calls

4 calls:

194.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
130.0ms	(.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))
38.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite62.0ms (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 → 168

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
9.0ms	(.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

945×	`fma-def_binary64`
540×	`associate-l_binary64`
414×	`associate-r_binary64`
243×	`*-commutative_binary64`
172×	`times-frac_binary64`

Counts

300 → 234

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	8065
1	861	7110
2	3858	7100
3	4973	7100
4	4980	7100

prune346.0ms (2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	221	13	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	222	13	235

Error

12.8b

Counts

235 → 13

Alt Table

Status	Error	Program
	41.2b	(/.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))))))))
	33.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k))) (.f64 l l)))
	56.0b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	33.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	30.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	61.6b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	24.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	61.3b	(/.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)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	54.5b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	55.5b	(/.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))) (log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
▶	24.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	40.2b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 9168 to 5428 computations (40.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	4.9b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	7.9b	(/.f64 (*.f64 t t) l)
✓	14.3b	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))

series355.0ms (2%)

Counts

4 → 132

Calls

4 calls:

200.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
124.0ms	(.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))
10.0ms	(/.f64 (*.f64 t t) l)

rewrite74.0ms (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 → 168

Calls

4 calls:

24.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
15.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
5.0ms	(*.f64 (/.f64 t l) (sin.f64 k))
4.0ms	(/.f64 (*.f64 t t) l)

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-r_binary64`
410×	`associate-/l/_binary64`
344×	`*-commutative_binary64`
254×	`associate-*l/_binary64`
233×	`distribute-rgt-in_binary64`

Counts

300 → 266

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	9377
1	1084	7315
2	3674	6993
3	4980	6993

prune455.0ms (2.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	258	8	266
Fresh	5	7	12
Picked	0	1	1
Done	0	0	0
Total	263	16	279

Error

9.4b

Counts

279 → 16

Alt Table

Status	Error	Program
	41.2b	(/.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))))))))
	33.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k))) (.f64 l l)))
	18.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	60.9b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 (.f64 t t)) (log.f64 l)) (log.f64 (.f64 (/.f64 t l) (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	55.5b	(/.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))) (log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	24.6b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))))
	26.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	32.4b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t (sin.f64 k))) (tan.f64 k)) (.f64 l l)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	56.0b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	33.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	30.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	26.0b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)) (.f64 l (cos.f64 k))))
▶	18.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	42.1b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	54.5b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
✓	24.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 11295 to 5256 computations (53.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k)))
✓	2.9b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
	4.9b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	14.3b	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))

series437.0ms (2.5%)

Counts

3 → 108

Calls

3 calls:

194.0ms

(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))

171.0ms

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

72.0ms

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

rewrite82.0ms (0.5%)

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 → 152

Calls

3 calls:

24.0ms

(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))

14.0ms

(*.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)))

simplify214.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

921×	`times-frac_binary64`
774×	`fma-def_binary64`
426×	`*-commutative_binary64`
251×	`distribute-rgt-in_binary64`
248×	`distribute-lft-in_binary64`

Counts

260 → 230

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	9917
1	1020	7524
2	2759	7462
3	4799	7462
4	4973	7462

prune573.0ms (3.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	285	7	292
Fresh	5	9	14
Picked	1	0	1
Done	1	0	1
Total	292	16	308

Error

9.1b

Counts

308 → 16

Alt Table

Status	Error	Program
	41.2b	(/.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))))))))
	33.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k))) (.f64 l l)))
	19.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 t (/.f64 (sin.f64 k) l))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	26.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	32.4b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t (sin.f64 k))) (tan.f64 k)) (.f64 l l)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	56.0b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	30.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	26.0b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)) (.f64 l (cos.f64 k))))
	18.7b	(/.f64 2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))) (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)))) (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
▶	18.0b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	60.9b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 (.f64 t t)) (log.f64 l)) (log.f64 (.f64 (/.f64 t l) (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	31.7b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 t 3)) (.f64 (cos.f64 k) (.f64 l l))) (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (.f64 l l)))))
	55.5b	(/.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))) (log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	20.4b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (*.f64 (/.f64 t l) (sin.f64 k)) (tan.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	18.7b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))

Compiler

Compiled 12646 to 5749 computations (54.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	0.6b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k)))
	4.9b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	16.7b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))

series509.0ms (2.9%)

Counts

2 → 72

Calls

2 calls:

308.0ms

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

201.0ms

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

rewrite98.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

232×	`add-cbrt-cube_binary64`
232×	`add-exp-log_binary64`
144×	`cbrt-unprod_binary64`
144×	`prod-exp_binary64`
58×	`associate-*l/_binary64`

Counts

2 → 169

Calls

2 calls:

23.0ms

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

21.0ms

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

simplify213.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
616×	`associate-/r*_binary64`
358×	`times-frac_binary64`
285×	`associate-/l*_binary64`
178×	`associate-*l/_binary64`

Counts

241 → 284

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	455	13493
1	1355	10473
2	4510	10465
3	5103	10465

prune768.0ms (4.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	392	8	400
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	401	15	416

Error

8.6b

Counts

416 → 15

Alt Table

Status	Error	Program
	33.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	32.6b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 t t) (.f64 t (sin.f64 k))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))) (*.f64 l l))
	60.9b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 (.f64 t t)) (log.f64 l)) (log.f64 (.f64 (/.f64 t l) (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	30.9b	(/.f64 (.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) l)) l) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
	18.1b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))) (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))) (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))))
	26.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	56.0b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	18.0b	(/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))) (sqrt.f64 2)))
	18.7b	(/.f64 2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))) (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)))) (cbrt.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	17.5b	(/.f64 2 (.f64 (.f64 t (/.f64 t l)) (.f64 (.f64 (/.f64 t l) (sin.f64 k)) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))))
	41.2b	(/.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))))))))
	30.2b	(.f64 (/.f64 2 (.f64 (.f64 (sin.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) l))) (*.f64 l (cos.f64 k)))
	55.5b	(/.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))) (log.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	18.0b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))

Compiler

Compiled 16674 to 7341 computations (56% saved)

regimes4.0s (22.5%)

Accuracy

Total 5.2b remaining (38.3%)

Threshold costs 0b (0%)

Counts

292 → 3

Compiler

Compiled 63297 to 43242 computations (31.7% saved)

bsearch280.0ms (1.6%)

Steps

Iters	Range		Point
9	1.7648088101541923e-110	1.847733327117684e-101	3.0159085555638574e-102
9	-4.968966329940617e-55	-1.6217153629947928e-62	-1.737405940344786e-58

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	137
1	62	137
2	61	137

end333.0ms (1.9%)

Compiler: Compiled 751 to 464 computations (38.2% saved)

Details

analyze2.7s (15.4%)

sample5.3s (29.7%)

simplify53.0ms (0.3%)

prune4.0ms (0%)

localize19.0ms (0.1%)

series435.0ms (2.5%)

rewrite62.0ms (0.3%)

simplify195.0ms (1.1%)

prune346.0ms (2%)

localize20.0ms (0.1%)

series355.0ms (2%)

rewrite74.0ms (0.4%)

simplify172.0ms (1%)

prune455.0ms (2.6%)

localize17.0ms (0.1%)

series437.0ms (2.5%)

rewrite82.0ms (0.5%)

simplify214.0ms (1.2%)

prune573.0ms (3.2%)

localize16.0ms (0.1%)

series509.0ms (2.9%)

rewrite98.0ms (0.6%)

simplify213.0ms (1.2%)

prune768.0ms (4.3%)

regimes4.0s (22.5%)

bsearch280.0ms (1.6%)

simplify4.0ms (0%)

end333.0ms (1.9%)

Profiling