Details

analyze2.7s (16.1%)

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)

sample5.2s (30.5%)

Results

2.6s	2789×	body	1024	valid
865.0ms	3541×	body	128	valid
809.0ms	1284×	body	512	valid
336.0ms	1467×	body	128	invalid
283.0ms	635×	body	256	valid
89.0ms	137×	body	512	invalid
45.0ms	105×	body	256	invalid
42.0ms	47×	body	1024	invalid
10.0ms	7×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify52.0ms (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

34.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	34.2b	(/.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
✓	2.4b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	2.5b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	15.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	16.1b	(.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)))

series419.0ms (2.5%)

Counts

4 → 132

Calls

4 calls:

190.0ms	(.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)))
125.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
70.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
34.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite57.0ms (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))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify191.0ms (1.1%)

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 → 254

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	7807
1	869	7006
2	3862	6945
3	4830	6945
4	5036	6945

prune472.0ms (2.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	238	16	254
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	239	16	255

Error

14.5b

Counts

255 → 16

Alt Table

Status	Error	Program
	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))))
	28.4b	(/.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))))
	55.8b	(/.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))))
	40.5b	(/.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 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	58.1b	(/.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))))))
	39.9b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (/.f64 (.f64 t (pow.f64 k 4)) (*.f64 l l)))))
	31.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 1 (/.f64 l (/.f64 (pow.f64 t 3) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.7b	(/.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))))
	47.4b	(/.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))))
	37.0b	(/.f64 2 (cbrt.f64 (.f64 (.f64 (.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))) (.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)))) (.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))))))
	28.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (/.f64 (pow.f64 (cbrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.4b	(/.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))))
	59.9b	(/.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))))
	49.8b	(/.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))))
	61.7b	(/.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))))
▶	26.7b	(/.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))))

Compiler

Compiled 9450 to 5342 computations (43.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	2.4b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	8.1b	(/.f64 (*.f64 t t) l)
✓	16.1b	(.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)))

series353.0ms (2.1%)

Counts

4 → 132

Calls

4 calls:

192.0ms	(.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)))
129.0ms	(.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))
11.0ms	(/.f64 (*.f64 t t) l)

rewrite69.0ms (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 → 167

Calls

4 calls:

19.0ms	(.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)))
11.0ms	(.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))
5.0ms	(/.f64 (*.f64 t t) l)

simplify236.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary64`
668×	`associate-r_binary64`
357×	`*-commutative_binary64`
255×	`associate-*l/_binary64`
183×	`distribute-rgt-in_binary64`

Counts

299 → 266

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	8901
1	1100	7091
2	3652	7057
3	4718	7057
4	4971	7057
5	4931	7057

prune413.0ms (2.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	257	9	266
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	266	16	282

Error

10.8b

Counts

282 → 16

Alt Table

Status	Error	Program
	26.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t t) (/.f64 1 l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	49.8b	(/.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))))
	20.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.2b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 t (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	44.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	25.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	40.5b	(/.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 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	61.2b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (log.f64 (*.f64 (/.f64 t l) (sin.f64 k)))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	58.1b	(/.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))))))
▶	20.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.4b	(/.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))
	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))))
	61.7b	(/.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))))
	39.9b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (/.f64 (.f64 t (pow.f64 k 4)) (*.f64 l l)))))
	47.4b	(/.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))))
	21.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 10648 to 4597 computations (56.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))
	2.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	2.4b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	16.1b	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series411.0ms (2.4%)

Counts

3 → 108

Calls

3 calls:

192.0ms

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

139.0ms

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

80.0ms

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

rewrite96.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

145×	`add-cbrt-cube_binary64`
145×	`add-exp-log_binary64`
76×	`cbrt-unprod_binary64`
76×	`prod-exp_binary64`
66×	`times-frac_binary64`

Counts

3 → 188

Calls

3 calls:

26.0ms

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

20.0ms

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

13.0ms

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

simplify200.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
546×	`*-commutative_binary64`
533×	`distribute-rgt-in_binary64`
350×	`associate-*l/_binary64`
220×	`associate-/l*_binary64`

Counts

296 → 325

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	10198
1	1359	8093
2	3659	8029
3	5190	8029

prune597.0ms (3.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	383	4	387
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	392	11	403

Error

9.7b

Counts

403 → 11

Alt Table

Status	Error	Program
	29.7b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 l t) l)))
	49.8b	(/.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))))
	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))))
	19.6b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (/.f64 l t)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.2b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 t (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
▶	17.1b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 l t) (cos.f64 k))))
	40.5b	(/.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 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	39.9b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (/.f64 (.f64 t (pow.f64 k 4)) (*.f64 l l)))))
	22.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	21.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.4b	(/.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))

Compiler

Compiled 14798 to 5923 computations (60% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	2.2b	(.f64 (.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k))
✓	8.2b	(/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 l t) (cos.f64 k)))
✓	12.6b	(.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series369.0ms (2.2%)

Counts

3 → 108

Calls

3 calls:

191.0ms

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

129.0ms

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

49.0ms

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

rewrite75.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

136×	`add-cbrt-cube_binary64`
136×	`add-exp-log_binary64`
77×	`cbrt-unprod_binary64`
77×	`prod-exp_binary64`
29×	`cbrt-undiv_binary64`

Counts

3 → 119

Calls

3 calls:

22.0ms

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

17.0ms

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

7.0ms

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

simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Rules

699×	`times-frac_binary64`
550×	`associate-l_binary64`
497×	`associate-/l*_binary64`
462×	`fma-def_binary64`
262×	`associate-/r*_binary64`

Counts

227 → 218

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	9115
1	1012	7364
2	4621	7337
3	5049	7337

prune434.0ms (2.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	274	6	280
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	278	13	291

Error

8.3b

Counts

291 → 13

Alt Table

Status	Error	Program
	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))))
	17.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 1 (.f64 (/.f64 l t) (cos.f64 k)))))
	20.2b	(/.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (fma.f64 k k (.f64 2 (.f64 t t)))) l) (.f64 (/.f64 l t) (cos.f64 k))))
	26.2b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 t (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	54.1b	(/.f64 2 (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 k 2) (pow.f64 t 2)) l)) (/.f64 (pow.f64 k 4) l)) (.f64 2/3 (/.f64 (.f64 (pow.f64 k 4) (pow.f64 t 2)) l))) (*.f64 (/.f64 l t) (cos.f64 k))))
	19.6b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (/.f64 l t)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	17.1b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 l t) (cos.f64 k))))
	17.1b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (sin.f64 k) (/.f64 t (cbrt.f64 l))))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 l t) (cos.f64 k))))
	20.8b	(/.f64 2 (/.f64 (.f64 t (.f64 (.f64 (/.f64 t l) (pow.f64 (sin.f64 k) 2)) (fma.f64 -1 (pow.f64 (/.f64 k t) 2) -2))) (neg.f64 (.f64 (cos.f64 k) (/.f64 l t)))))
	25.6b	(/.f64 2 (/.f64 (/.f64 (.f64 (.f64 (.f64 t (.f64 t (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l) (*.f64 (/.f64 l t) (cos.f64 k))))
	22.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	21.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.4b	(/.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))

Compiler

Compiled 11715 to 4714 computations (59.8% saved)

regimes4.0s (23.3%)

Accuracy

Total 4.8b remaining (40.9%)

Threshold costs 0b (0%)

Counts

291 → 3

Compiler

Compiled 61207 to 41622 computations (32% saved)

bsearch155.0ms (0.9%)

Steps

Iters	Range		Point
6	8.909757529319893e+33	6.545704159955616e+34	9.025767398431058e+33
6	-1.5322221725370238e-69	-2.920431214813165e-70	-1.4693556835341005e-69

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	124
1	49	124
2	49	124

end267.0ms (1.6%)

Compiler: Compiled 575 to 368 computations (36% saved)

Details

analyze2.7s (16.1%)

sample5.2s (30.5%)

simplify52.0ms (0.3%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series419.0ms (2.5%)

rewrite57.0ms (0.3%)

simplify191.0ms (1.1%)

prune472.0ms (2.8%)

localize18.0ms (0.1%)

series353.0ms (2.1%)

rewrite69.0ms (0.4%)

simplify236.0ms (1.4%)

prune413.0ms (2.4%)

localize15.0ms (0.1%)

series411.0ms (2.4%)

rewrite96.0ms (0.6%)

simplify200.0ms (1.2%)

prune597.0ms (3.5%)

localize19.0ms (0.1%)

series369.0ms (2.2%)

rewrite75.0ms (0.4%)

simplify166.0ms (1%)

prune434.0ms (2.6%)

regimes4.0s (23.3%)

bsearch155.0ms (0.9%)

simplify3.0ms (0%)

end267.0ms (1.6%)

Profiling