Details

analyze2.9s (14.2%)

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)

sample252.0ms (1.2%)

Algorithm

1×

intervals

Results

58.0ms	40×	body	512	valid
56.0ms	72×	body	1024	valid
37.0ms	115×	body	128	valid
12.0ms	64×	body	128	invalid
9.0ms	29×	body	256	valid
3.0ms	7×	body	512	invalid
2.0ms	6×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify56.0ms (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

32.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.7b	(/.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	4.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	12.0b	(.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)))
✓	19.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series495.0ms (2.4%)

Counts

4 → 132

Calls

4 calls:

211.0ms	(.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)))
169.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
78.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
36.0ms	(/.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:

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))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify200.0ms (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 → 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

prune388.0ms (1.9%)

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

12.2b

Counts

236 → 16

Alt Table

Status	Error	Program
	33.0b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (.f64 l l)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	46.3b	(/.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))))
	43.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.8b	(/.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))))))))
	59.0b	(/.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))))
	40.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 (+.f64 2 (/.f64 (pow.f64 k 2) (pow.f64 t 2))) (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	22.9b	(/.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))))
	53.4b	(/.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))))
	43.0b	(/.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))))
	58.9b	(/.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))))))
	26.3b	(/.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))))
	23.2b	(/.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))))
	33.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	30.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.2b	(/.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))))
▶	22.9b	(/.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))))

Compiler

Compiled 8781 to 4996 computations (43.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
✓	5.9b	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
✓	8.0b	(/.f64 (*.f64 t t) l)
✓	12.0b	(.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)))

series394.0ms (1.9%)

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)))
134.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
34.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
12.0ms	(/.f64 (*.f64 t t) l)

rewrite70.0ms (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:

21.0ms	(.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))
5.0ms	(/.f64 (*.f64 t t) l)

simplify239.0ms (1.1%)

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

prune472.0ms (2.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	245	9	254
Fresh	9	6	15
Picked	1	0	1
Done	0	0	0
Total	255	15	270

Error

7.0b

Counts

270 → 15

Alt Table

Status	Error	Program
	50.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t (sqrt.f64 l)) (sqrt.f64 (sin.f64 k))) (.f64 (/.f64 t (sqrt.f64 l)) (sqrt.f64 (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.6b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t t) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	41.8b	(/.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))))))))
	59.0b	(/.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))))
▶	14.6b	(/.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))))
	16.7b	(/.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))))
	22.9b	(/.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)))))
	33.0b	(/.f64 2 (.f64 (/.f64 (.f64 (tan.f64 k) (.f64 (sin.f64 k) (pow.f64 t 3))) (.f64 l l)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.8b	(/.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))))
	43.0b	(/.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))))
	58.9b	(/.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))))))
	22.9b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (sin.f64 k)) (cos.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	23.1b	(/.f64 2 (.f64 (.f64 (cbrt.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)))) (cbrt.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))))) (cbrt.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))))))
	33.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	46.3b	(/.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))))

Compiler

Compiled 10239 to 4477 computations (56.3% saved)

localize52.0ms (0.2%)

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))))
✓	1.8b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
✓	3.1b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	12.0b	(.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)))

series730.0ms (3.5%)

Counts

4 → 144

Calls

4 calls:

328.0ms	(/.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))))
202.0ms	(.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)))
176.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
23.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

rewrite171.0ms (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:

30.0ms	(/.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))))
27.0ms	(.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)))
16.0ms	(.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))

simplify340.0ms (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

prune986.0ms (4.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	510	11	521
Fresh	11	3	14
Picked	1	0	1
Done	0	0	0
Total	522	14	536

Error

5.7b

Counts

536 → 14

Alt Table

Status	Error	Program
	26.3b	(.f64 (sqrt.f64 (/.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))))) (sqrt.f64 (/.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))))))
	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)))))
	33.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	20.6b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 t (.f64 t (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 1 l)))
	18.9b	(.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)))
▶	14.1b	(/.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))))
	14.8b	(/.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))))
	15.0b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (tan.f64 k))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (tan.f64 k)))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (tan.f64 k))))))
	18.9b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 t (.f64 t (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (*.f64 l 1))
	58.9b	(/.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))))))
	33.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	40.1b	(/.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))))))
	14.9b	(/.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))))
	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))))

Compiler

Compiled 22532 to 10373 computations (54% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.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))))
✓	1.2b	(.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)))
✓	1.6b	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
✓	12.0b	(.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)))

series762.0ms (3.7%)

Counts

4 → 144

Calls

4 calls:

325.0ms	(/.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))))
213.0ms	(.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)))
135.0ms	(.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)))
88.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))

rewrite109.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

190×	`add-cbrt-cube_binary64`
190×	`add-exp-log_binary64`
108×	`cbrt-unprod_binary64`
108×	`prod-exp_binary64`
70×	`associate-*r/_binary64`

Counts

4 → 213

Calls

4 calls:

22.0ms	(/.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))))
21.0ms	(.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)))
13.0ms	(.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)))
7.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))

simplify267.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
488×	`associate-/r*_binary64`
454×	`times-frac_binary64`
405×	`associate-/l*_binary64`
220×	`distribute-rgt-in_binary64`

Counts

357 → 402

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	15152
1	1643	12980
2	4650	12967
3	5081	12967

prune745.0ms (3.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	397	5	402
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	402	14	416

Error

5.5b

Counts

416 → 14

Alt Table

Status	Error	Program
	33.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	12.8b	(/.f64 2 (.f64 (/.f64 t l) (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	14.4b	(/.f64 (/.f64 2 (.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)))
	26.1b	(.f64 (sqrt.f64 (/.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))))) (sqrt.f64 (/.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))))))
	16.4b	(/.f64 2 (.f64 (.f64 t (.f64 (/.f64 1 l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.6b	(/.f64 2 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	18.9b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 t (.f64 t (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (*.f64 l 1))
	15.0b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (tan.f64 k))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (tan.f64 k)))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (tan.f64 k))))))
	58.9b	(/.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))))))
	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)))))
	33.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	40.1b	(/.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))))))
	14.9b	(/.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))))
	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))))

Compiler

Compiled 16238 to 6529 computations (59.8% saved)

regimes6.0s (29%)

Accuracy

Total 3.2b remaining (29.5%)

Threshold costs 0b (0%)

Counts

377 → 3

Compiler

Compiled 84441 to 55489 computations (34.3% saved)

bsearch251.0ms (1.2%)

Steps

Iters	Range		Point
8	5.574638795753577e-112	2.91031897179514e-108	1.2164651549597853e-108
10	-6.220635728153579e-124	-3.4808168959864087e-134	-4.899698903728324e-124

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	81
1	47	81
2	47	81

end1.0ms (0%)

Compiler: Compiled 56 to 39 computations (30.4% saved)

sample4.7s (22.6%)

Algorithm

1×

intervals

Results

2.1s	2747×	body	1024	valid
625.0ms	1219×	body	512	valid
609.0ms	3432×	body	128	valid
256.0ms	1471×	body	128	invalid
207.0ms	594×	body	256	valid
68.0ms	132×	body	512	invalid
39.0ms	106×	body	256	invalid
33.0ms	45×	body	1024	invalid
9.0ms	8×	body	2048	valid

Compiler

Compiled 578 to 377 computations (34.8% saved)

Details

analyze2.9s (14.2%)

sample252.0ms (1.2%)

simplify56.0ms (0.3%)

prune4.0ms (0%)

localize18.0ms (0.1%)

series495.0ms (2.4%)

rewrite60.0ms (0.3%)

simplify200.0ms (1%)

prune388.0ms (1.9%)

localize18.0ms (0.1%)

series394.0ms (1.9%)

rewrite70.0ms (0.3%)

simplify239.0ms (1.1%)

prune472.0ms (2.3%)

localize52.0ms (0.2%)

series730.0ms (3.5%)

rewrite171.0ms (0.8%)

simplify340.0ms (1.6%)

prune986.0ms (4.7%)

localize22.0ms (0.1%)

series762.0ms (3.7%)

rewrite109.0ms (0.5%)

simplify267.0ms (1.3%)

prune745.0ms (3.6%)

regimes6.0s (29%)

bsearch251.0ms (1.2%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.7s (22.6%)

Profiling