Details

analyze2.8s (10.4%)

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)

sample152.0ms (0.6%)

Algorithm

1×

intervals

Results

81.0ms	88×	body	1024	valid
21.0ms	46×	body	512	valid
17.0ms	107×	body	128	valid
7.0ms	43×	body	128	invalid
5.0ms	15×	body	256	valid
1.0ms	2×	body	1024	invalid
1.0ms	2×	body	512	invalid
1.0ms	2×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify56.0ms (0.2%)

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

36.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	36.8b	(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.2b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	16.5b	(.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)))
✓	19.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series489.0ms (1.8%)

Counts

4 → 132

Calls

4 calls:

216.0ms	(.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)))
155.0ms	(.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))
39.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite65.0ms (0.2%)

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:

23.0ms	(.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)))
9.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
9.0ms	(.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))

simplify223.0ms (0.8%)

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

prune425.0ms (1.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	220	15	235
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	221	15	236

Error

15.0b

Counts

236 → 15

Alt Table

Status	Error	Program
	31.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.5b	(/.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))))
	32.5b	(/.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))))
	58.2b	(/.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))))
	57.8b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	42.2b	(/.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))))))))
	59.8b	(/.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))))))
▶	26.5b	(/.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))))
	39.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	52.7b	(/.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))))
	36.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	39.6b	(/.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))))
	52.9b	(/.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))))
	58.2b	(/.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))))))
	33.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 (*.f64 l l) t)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 8729 to 4958 computations (43.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
✓	3.8b	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
✓	8.9b	(/.f64 (*.f64 t t) l)
✓	16.5b	(.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)))

series405.0ms (1.5%)

Counts

4 → 132

Calls

4 calls:

214.0ms	(.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)))
140.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
39.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
12.0ms	(/.f64 (*.f64 t t) l)

rewrite74.0ms (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)))
13.0ms	(.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))
4.0ms	(/.f64 (*.f64 t t) l)

simplify253.0ms (0.9%)

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

prune442.0ms (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	244	10	254
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	252	17	269

Error

11.2b

Counts

269 → 17

Alt Table

Status	Error	Program
	34.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (.f64 t t) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	51.2b	(/.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))))
	27.6b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (/.f64 l t)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	58.2b	(/.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))))
	28.8b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 t (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (sin.f64 k)) (.f64 l (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	59.8b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (log.f64 (/.f64 t 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))))))
	31.9b	(/.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))
	58.2b	(/.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))))))
	45.5b	(/.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))))
	36.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	39.6b	(/.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))))
	42.2b	(/.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))))))))
▶	19.9b	(/.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))))
	59.8b	(/.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))))))
	20.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (/.f64 t (cbrt.f64 l)) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 10249 to 4539 computations (55.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.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))))
✓	2.7b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
✓	4.3b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	16.5b	(.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)))

series769.0ms (2.8%)

Counts

4 → 144

Calls

4 calls:

344.0ms	(/.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))))
229.0ms	(.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)))
172.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
24.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

rewrite181.0ms (0.7%)

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:

33.0ms	(.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)))
32.0ms	(/.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))))
15.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
6.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify635.0ms (2.3%)

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

prune1.8s (6.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	509	12	521
Fresh	12	4	16
Picked	1	0	1
Done	0	0	0
Total	522	16	538

Error

9.2b

Counts

538 → 16

Alt Table

Status	Error	Program
	51.2b	(/.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))))
	19.9b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.1b	(/.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)))))
	20.3b	(/.f64 (/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
	25.9b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 t (.f64 t (.f64 (/.f64 t l) (sin.f64 k)))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 (.f64 l 1) (cos.f64 k)))
	20.5b	(/.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))))
	42.2b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l))))))
	34.4b	(/.f64 2 (/.f64 (.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)))
	59.8b	(/.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))))))
	36.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
▶	18.4b	(.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))))
	18.6b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.9b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (/.f64 l t)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	36.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	23.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 t (/.f64 (sin.f64 k) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 22496 to 10399 computations (53.8% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (*.f64 t (sin.f64 k)) l)
✓	1.3b	(/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))
✓	2.3b	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
✓	16.6b	(.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))))

series1.3s (4.7%)

Counts

4 → 112

Calls

4 calls:

612.0ms	(.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))))
444.0ms	(/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))
167.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
42.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

rewrite171.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

193×	`add-cbrt-cube_binary64`
193×	`add-exp-log_binary64`
79×	`cbrt-unprod_binary64`
79×	`prod-exp_binary64`
72×	`cbrt-undiv_binary64`

Counts

4 → 211

Calls

4 calls:

49.0ms	(.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))))
18.0ms	(/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))
15.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
7.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

simplify448.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64`
577×	`associate-/l*_binary64`
548×	`associate-/r*_binary64`
292×	`fma-def_binary64`
197×	`associate-/l/_binary64`

Counts

323 → 377

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	12656
1	1544	10543
2	4703	10531
3	4984	10531

prune1.2s (4.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	371	6	377
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	380	13	393

Error

9.1b

Counts

393 → 13

Alt Table

Status	Error	Program
	19.1b	(/.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)))))
	25.9b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 t (.f64 t (.f64 (/.f64 t l) (sin.f64 k)))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 (.f64 l 1) (cos.f64 k)))
	42.0b	(.f64 (/.f64 (/.f64 (sqrt.f64 l) 1) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (.f64 (/.f64 (/.f64 (sqrt.f64 l) t) (tan.f64 k)) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	23.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 t (/.f64 (sin.f64 k) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.9b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.6b	(.f64 (/.f64 l t) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 (*.f64 t (/.f64 (sin.f64 k) (/.f64 l t))) (tan.f64 k))))
	17.3b	(.f64 (.f64 (/.f64 1 (*.f64 t (/.f64 (sin.f64 k) (/.f64 l t)))) (/.f64 (/.f64 l t) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.6b	(.f64 (/.f64 l (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (.f64 (/.f64 (/.f64 1 t) (tan.f64 k)) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	36.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	42.2b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l))))))
	32.8b	(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (sin.f64 k) (/.f64 l t))) (tan.f64 k)))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	18.5b	(.f64 (.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (sin.f64 k) (/.f64 l t))) (tan.f64 k))) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	36.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))

Compiler

Compiled 14866 to 5691 computations (61.7% saved)

regimes6.1s (22.4%)

Accuracy

Total 2.7b remaining (27.3%)

Threshold costs 0b (0%)

Counts

322 → 3

Compiler

Compiled 65784 to 44952 computations (31.7% saved)

bsearch467.0ms (1.7%)

Steps

Iters	Range		Point
10	7.643921538491199e-212	1.1216578203433295e-193	1.0926168737272691e-193
8	-5.005775498761944e-163	-2.5374903677992084e-166	-4.738216409662838e-164

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	84
1	49	84
2	48	84

end2.0ms (0%)

Compiler: Compiled 58 to 41 computations (29.3% saved)

sample8.6s (31.6%)

Algorithm

1×

intervals

Results

3.9s	2671×	body	1024	valid
1.2s	1203×	body	512	valid
1.1s	3514×	body	128	valid
441.0ms	1398×	body	128	invalid
378.0ms	607×	body	256	valid
126.0ms	124×	body	512	invalid
107.0ms	63×	body	1024	invalid
66.0ms	112×	body	256	invalid
17.0ms	5×	body	2048	valid

Compiler

Compiled 483 to 335 computations (30.6% saved)

Details

analyze2.8s (10.4%)

sample152.0ms (0.6%)

simplify56.0ms (0.2%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series489.0ms (1.8%)

rewrite65.0ms (0.2%)

simplify223.0ms (0.8%)

prune425.0ms (1.6%)

localize20.0ms (0.1%)

series405.0ms (1.5%)

rewrite74.0ms (0.3%)

simplify253.0ms (0.9%)

prune442.0ms (1.6%)

localize17.0ms (0.1%)

series769.0ms (2.8%)

rewrite181.0ms (0.7%)

simplify635.0ms (2.3%)

prune1.8s (6.6%)

localize36.0ms (0.1%)

series1.3s (4.7%)

rewrite171.0ms (0.6%)

simplify448.0ms (1.7%)

prune1.2s (4.5%)

regimes6.1s (22.4%)

bsearch467.0ms (1.7%)

simplify7.0ms (0%)

end2.0ms (0%)

sample8.6s (31.6%)

Profiling