Details

analyze3.1s (11.7%)

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
14%	85.8%	0.1%	7
16.4%	83.5%	0.1%	8
19.1%	80.7%	0.1%	9
28.7%	71.2%	0.1%	10
30.7%	69.1%	0.1%	11
32.9%	66.9%	0.1%	12
38.4%	61.5%	0.1%	13
39.7%	60.2%	0.1%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample6.1s (22.8%)

Results

2.9s	2040×	body	1024	valid
1.8s	4614×	body	128	valid
995.0ms	1075×	body	512	valid
319.0ms	519×	body	256	valid
17.0ms	8×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify96.0ms (0.4%)

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

prune7.0ms (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

27.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	27.9b	(/.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)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	2.9b	(.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)))
✓	14.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series763.0ms (2.8%)

Counts

4 → 132

Calls

4 calls:

316.0ms	(.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)))
258.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
140.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
49.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite105.0ms (0.4%)

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:

29.0ms	(.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)))
18.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
10.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify385.0ms (1.4%)

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

prune579.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	222	13	235
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	223	13	236

Error

7.1b

Counts

236 → 13

Alt Table

Status	Error	Program
▶	19.8b	(/.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))))
	38.7b	(/.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))))
	19.9b	(/.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))))
	30.1b	(/.f64 2 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	24.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	56.8b	(/.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))))
	24.3b	(/.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))))
	32.8b	(/.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))))))))
	37.5b	(/.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))))
	52.0b	(/.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))))
	49.0b	(/.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))))
	56.5b	(/.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 2 (pow.f64 (/.f64 k t) 2))))))
	23.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 8575 to 4844 computations (43.5% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
✓	2.0b	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
✓	6.9b	(/.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)))

series622.0ms (2.3%)

Counts

4 → 132

Calls

4 calls:

308.0ms	(.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)))
226.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
64.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
22.0ms	(/.f64 (*.f64 t t) l)

rewrite131.0ms (0.5%)

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:

39.0ms	(.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)))
23.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
11.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
7.0ms	(/.f64 (*.f64 t t) l)

simplify449.0ms (1.7%)

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

prune756.0ms (2.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	247	7	254
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	255	12	267

Error

4.4b

Counts

267 → 12

Alt Table

Status	Error	Program
	19.9b	(/.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))))
	14.3b	(/.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))))
	30.1b	(/.f64 2 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
▶	13.3b	(/.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))))
	24.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	56.8b	(/.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))))
	21.1b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t t) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	52.0b	(/.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))))
	35.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (sqrt.f64 l)) (*.f64 (/.f64 t (sqrt.f64 l)) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.7b	(/.f64 2 (cbrt.f64 (.f64 (.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))) (.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)))) (.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))))))
	46.5b	(/.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))))
	32.8b	(/.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))))))))

Compiler

Compiled 10087 to 4329 computations (57.1% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
✓	0.6b	(.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))
✓	3.2b	(*.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)))

series658.0ms (2.5%)

Counts

4 → 144

Calls

4 calls:

317.0ms	(.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)))
234.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
64.0ms	(.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))
42.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

rewrite226.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

290×	`add-exp-log_binary64`
209×	`add-cbrt-cube_binary64`
181×	`prod-exp_binary64`
126×	`cbrt-unprod_binary64`
103×	`associate-*l/_binary64`

Counts

4 → 254

Calls

4 calls:

52.0ms	(.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)))
34.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
17.0ms	(.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))
11.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify608.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
527×	`*-commutative_binary64`
277×	`associate-*l/_binary64`
225×	`distribute-rgt-in_binary64`
220×	`distribute-lft-in_binary64`

Counts

398 → 389

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	490	12726
1	1204	10072
2	3486	10006
3	4517	9998
4	4878	9998
5	4906	9998

prune1.5s (5.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	382	7	389
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	388	13	401

Error

4.1b

Counts

401 → 13

Alt Table

Status	Error	Program
	19.9b	(/.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))))
	14.3b	(/.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))))
	13.5b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.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))))))
	13.5b	(/.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))))
▶	13.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) 1)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.1b	(/.f64 2 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	18.2b	(/.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)))
	24.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	35.1b	(/.f64 2 (log.f64 (pow.f64 (exp.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) l) (tan.f64 k)))))
	46.5b	(/.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))))
	14.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 1) (*.f64 (/.f64 (cbrt.f64 t) l) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.8b	(/.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))))))))
	39.9b	(/.f64 2 (.f64 (sqrt.f64 (.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 (.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))))))

Compiler

Compiled 15950 to 7483 computations (53.1% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) 1)) (tan.f64 k))
✓	0.6b	(.f64 t (/.f64 (.f64 t (sin.f64 k)) l))
✓	0.8b	(/.f64 (*.f64 t (sin.f64 k)) l)
✓	12.0b	(.f64 (.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) 1)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series665.0ms (2.5%)

Counts

4 → 112

Calls

4 calls:

351.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) 1)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
221.0ms	(.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) 1)) (tan.f64 k))
60.0ms	(.f64 t (/.f64 (.f64 t (sin.f64 k)) l))
32.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

rewrite93.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`add-exp-log_binary64`
85×	`prod-exp_binary64`
41×	`add-cbrt-cube_binary64`
24×	`div-exp_binary64`
19×	`cbrt-unprod_binary64`

Counts

4 → 136

Calls

4 calls:

30.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) 1)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.0ms	(.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) 1)) (tan.f64 k))
12.0ms	(.f64 t (/.f64 (.f64 t (sin.f64 k)) l))
7.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

simplify272.0ms (1%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
622×	`associate-l_binary64`
500×	`associate-r_binary64`
250×	`*-commutative_binary64`
197×	`associate-/l*_binary64`

Counts

248 → 237

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	7204
1	932	6353
2	4096	6339
3	4989	6339

prune898.0ms (3.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	234	3	237
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	238	12	250

Error

4.1b

Counts

250 → 12

Alt Table

Status	Error	Program
	24.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	13.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (.f64 (.f64 t (sin.f64 k)) (/.f64 1 l))) 1)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.1b	(/.f64 2 (log.f64 (pow.f64 (exp.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) l) (tan.f64 k)))))
	13.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (.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))))) 1)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	13.5b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.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))))))
	13.5b	(/.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))))
	22.7b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t l) (pow.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) 1)) (sin.f64 k)) (-.f64 (.f64 2 2) (.f64 (pow.f64 (/.f64 k t) 2) (pow.f64 (/.f64 k t) 2)))) (.f64 (cos.f64 k) (-.f64 2 (pow.f64 (/.f64 k t) 2)))))
	19.9b	(/.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))))
	30.1b	(/.f64 2 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	18.2b	(/.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)))
	46.5b	(/.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))))
	32.8b	(/.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))))))))

Compiler

Compiled 9084 to 4357 computations (52% saved)

regimes7.9s (29.6%)

Accuracy

Total 5.1b remaining (48.2%)

Threshold costs 0b (0%)

Counts

266 → 3

Compiler

Compiled 56080 to 37452 computations (33.2% saved)

bsearch201.0ms (0.7%)

Steps

Iters	Range		Point
4	2.5791793195354975e-94	4.233273349580919e-94	3.8714402805084825e-94
10	-3.7478323977231516e-73	-9.613331282756953e-87	-5.881377566610367e-84

Compiler

Compiled 4 to 3 computations (25% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	81
1	50	81
2	49	81

end518.0ms (1.9%)

Compiler: Compiled 620 to 383 computations (38.2% saved)

Details

analyze3.1s (11.7%)

sample6.1s (22.8%)

simplify96.0ms (0.4%)

prune7.0ms (0%)

localize24.0ms (0.1%)

series763.0ms (2.8%)

rewrite105.0ms (0.4%)

simplify385.0ms (1.4%)

prune579.0ms (2.2%)

localize34.0ms (0.1%)

series622.0ms (2.3%)

rewrite131.0ms (0.5%)

simplify449.0ms (1.7%)

prune756.0ms (2.8%)

localize38.0ms (0.1%)

series658.0ms (2.5%)

rewrite226.0ms (0.8%)

simplify608.0ms (2.3%)

prune1.5s (5.5%)

localize25.0ms (0.1%)

series665.0ms (2.5%)

rewrite93.0ms (0.3%)

simplify272.0ms (1%)

prune898.0ms (3.3%)

regimes7.9s (29.6%)

bsearch201.0ms (0.7%)

simplify10.0ms (0%)

end518.0ms (1.9%)

Profiling