Details

analyze2.8s (13%)

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)

sample5.1s (23.8%)

Results

2.6s	2805×	body	1024	valid
840.0ms	3610×	body	128	valid
783.0ms	1268×	body	512	valid
359.0ms	1497×	body	128	invalid
243.0ms	561×	body	256	valid
92.0ms	145×	body	512	invalid
53.0ms	121×	body	256	invalid
44.0ms	50×	body	1024	invalid
18.0ms	12×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify55.0ms (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

27.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	27.1b	(/.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
✓	2.0b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	3.2b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	10.9b	(.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)))
✓	13.4b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series443.0ms (2.1%)

Counts

4 → 132

Calls

4 calls:

196.0ms	(.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)))
141.0ms	(.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))
33.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite60.0ms (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)))
13.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
8.0ms	(.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))

simplify196.0ms (0.9%)

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

prune404.0ms (1.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	219	15	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	15	235

Error

10.3b

Counts

235 → 15

Alt Table

Status	Error	Program
	39.7b	(/.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))))
	21.5b	(/.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))))
▶	19.5b	(/.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))))
	51.6b	(/.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))))
	55.3b	(/.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))))
	55.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))))
	58.3b	(/.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))))))
	43.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 (.f64 l l) (pow.f64 t (/.f64 3 2)))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l 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))))
	23.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.7b	(/.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))))
	28.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	25.0b	(/.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))))
	27.5b	(/.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)))
	26.8b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (.f64 (/.f64 1 (*.f64 l l)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 8636 to 4908 computations (43.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.2b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
✓	3.7b	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
✓	6.2b	(/.f64 (*.f64 t t) l)
✓	10.9b	(.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)))

series361.0ms (1.7%)

Counts

4 → 132

Calls

4 calls:

193.0ms	(.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)))
124.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
33.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
10.0ms	(/.f64 (*.f64 t t) l)

rewrite71.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

24.0ms	(.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)))
15.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
6.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
3.0ms	(/.f64 (*.f64 t t) l)

simplify251.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-def_binary64`
669×	`associate-r_binary64`
348×	`*-commutative_binary64`
241×	`associate-*l/_binary64`
183×	`distribute-rgt-in_binary64`

Counts

291 → 254

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	8854
1	1070	7129
2	3638	7095
3	4722	7095
4	4980	7095
5	4933	7095

prune455.0ms (2.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	244	10	254
Fresh	11	3	14
Picked	1	0	1
Done	0	0	0
Total	256	13	269

Error

7.8b

Counts

269 → 13

Alt Table

Status	Error	Program
▶	14.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t 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)))))
	55.3b	(/.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))))
	15.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 t (cbrt.f64 l))) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))))
	19.6b	(/.f64 2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))) (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k)))) (cbrt.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))))
	24.6b	(/.f64 2 (log1p.f64 (expm1.f64 (.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))))))
	51.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (fma.f64 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l) -1/6 (/.f64 (.f64 k (*.f64 t t)) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (sin.f64 k)))) (cbrt.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	58.4b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 t) (log.f64 l)) (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (log.f64 (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	24.1b	(/.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))
	28.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	21.5b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t t) (sin.f64 k))) (sin.f64 k)) (.f64 l (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 10041 to 4343 computations (56.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	2.6b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	3.2b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
✓	10.9b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series697.0ms (3.3%)

Counts

4 → 144

Calls

4 calls:

312.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
205.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
159.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
21.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

rewrite173.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

421×	`add-exp-log_binary64`
304×	`add-cbrt-cube_binary64`
259×	`prod-exp_binary64`
181×	`cbrt-unprod_binary64`
179×	`frac-times_binary64`

Counts

4 → 316

Calls

4 calls:

26.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
26.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
7.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify350.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
544×	`associate-/r*_binary64`
462×	`times-frac_binary64`
383×	`associate-/l*_binary64`
229×	`*-commutative_binary64`

Counts

460 → 521

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	673	19026
1	1654	16342
2	4585	16329
3	5011	16329

prune1.1s (5.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	507	14	521
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	516	18	534

Error

5.5b

Counts

534 → 18

Alt Table

Status	Error	Program
	14.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.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)))))
	14.4b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
▶	14.1b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.3b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (.f64 t (.f64 t (sin.f64 k))))))) (*.f64 l l))
	28.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	14.2b	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t (sin.f64 k)) l) 3)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.0b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (sin.f64 k) (.f64 t (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)))))) (*.f64 l (cos.f64 k)))
	14.6b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (tan.f64 k)) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.6b	(/.f64 2 (log1p.f64 (expm1.f64 (.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))))))
	14.9b	(/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (/.f64 (cbrt.f64 2) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	58.4b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 t) (log.f64 l)) (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (log.f64 (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	20.2b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))))) l))
	37.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (sqrt.f64 (/.f64 t l)) (.f64 (sqrt.f64 (/.f64 t l)) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.0b	(/.f64 (/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
	33.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (fma.f64 t (/.f64 k l) (.f64 (/.f64 (.f64 t (pow.f64 k 3)) l) -1/6)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	19.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (sin.f64 k)))) (cbrt.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 22658 to 10501 computations (53.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)))
✓	2.5b	(.f64 (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
	2.6b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	10.9b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series416.0ms (1.9%)

Counts

3 → 108

Calls

3 calls:

204.0ms

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

126.0ms

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

85.0ms

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

rewrite113.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

302×	`add-exp-log_binary64`
218×	`add-cbrt-cube_binary64`
192×	`prod-exp_binary64`
134×	`cbrt-unprod_binary64`
103×	`frac-times_binary64`

Counts

3 → 231

Calls

3 calls:

25.0ms

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

16.0ms

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

13.0ms

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

simplify280.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

973×	`fma-def_binary64`
665×	`distribute-rgt-in_binary64`
484×	`*-commutative_binary64`
324×	`associate-*l/_binary64`
240×	`distribute-lft-in_binary64`

Counts

339 → 348

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	12916
1	1118	10558
2	3481	10500
3	4854	10500
4	5183	10500

prune1.0s (4.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	407	4	411
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	412	17	429

Error

5.4b

Counts

429 → 17

Alt Table

Status	Error	Program
	14.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.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)))))
	14.4b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	28.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	14.2b	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t (sin.f64 k)) l) 3)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.1b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (/.f64 t l) (.f64 (sin.f64 k) (.f64 t (.f64 t (sin.f64 k)))))) (.f64 l (cos.f64 k))))
	28.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	20.0b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (sin.f64 k) (.f64 t (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)))))) (*.f64 l (cos.f64 k)))
	14.6b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (tan.f64 k)) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.6b	(/.f64 2 (log1p.f64 (expm1.f64 (.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))))))
	14.9b	(/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (/.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (/.f64 (cbrt.f64 2) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	58.4b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 t) (log.f64 l)) (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (log.f64 (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	32.1b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (fma.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 4)) l) (/.f64 (.f64 (.f64 k k) (*.f64 t t)) l))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	37.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (sqrt.f64 (/.f64 t l)) (.f64 (sqrt.f64 (/.f64 t l)) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.0b	(/.f64 (/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
	26.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 t (.f64 (tan.f64 k) (.f64 t (.f64 t (sin.f64 k)))))) (.f64 l l)))
	13.3b	(/.f64 2 (.f64 (/.f64 t l) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 t (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)))))

Compiler

Compiled 16378 to 7155 computations (56.3% saved)

regimes6.2s (28.9%)

Accuracy

Total 5.7b remaining (41.9%)

Threshold costs 0b (0%)

Counts

388 → 5

Compiler

Compiled 80183 to 54531 computations (32% saved)

bsearch477.0ms (2.2%)

Steps

Iters	Range		Point
9	5.464301790118544e-183	5.3757883261797154e-177	5.299016542242219e-177
9	-6.593508115747883e-125	-3.413888698500009e-132	-4.599803275105722e-125
9	-6.370899752936675e-67	-4.064818798143591e-74	-1.5979410545040742e-68
6	-8.696652257080113e+21	-1.9572867600492732e+21	-6.360285793829747e+21

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	205
1	70	205
2	69	205

end332.0ms (1.6%)

Compiler: Compiled 806 to 499 computations (38.1% saved)

Details

analyze2.8s (13%)

sample5.1s (23.8%)

simplify55.0ms (0.3%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series443.0ms (2.1%)

rewrite60.0ms (0.3%)

simplify196.0ms (0.9%)

prune404.0ms (1.9%)

localize17.0ms (0.1%)

series361.0ms (1.7%)

rewrite71.0ms (0.3%)

simplify251.0ms (1.2%)

prune455.0ms (2.1%)

localize20.0ms (0.1%)

series697.0ms (3.3%)

rewrite173.0ms (0.8%)

simplify350.0ms (1.6%)

prune1.1s (5.2%)

localize18.0ms (0.1%)

series416.0ms (1.9%)

rewrite113.0ms (0.5%)

simplify280.0ms (1.3%)

prune1.0s (4.7%)

regimes6.2s (28.9%)

bsearch477.0ms (2.2%)

simplify4.0ms (0%)

end332.0ms (1.6%)

Profiling