Details

analyze2.7s (10.8%)

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)

sample191.0ms (0.8%)

Algorithm

1×

intervals

Results

63.0ms	86×	body	1024	valid
19.0ms	118×	body	128	valid
18.0ms	39×	body	512	valid
9.0ms	59×	body	128	invalid
4.0ms	12×	body	256	valid
3.0ms	6×	body	512	invalid
2.0ms	3×	body	1024	invalid
1.0ms	1×	body	2048	valid
1.0ms	3×	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

35.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	35.3b	(/.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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.9b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	13.4b	(.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)))
✓	17.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series462.0ms (1.8%)

Counts

4 → 132

Calls

4 calls:

210.0ms	(.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)))
137.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
76.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
39.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite60.0ms (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:

17.0ms	(.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 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
9.0ms	(.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))

simplify202.0ms (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

prune400.0ms (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

14.3b

Counts

236 → 15

Alt Table

Status	Error	Program
	60.3b	(/.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))))
	25.3b	(/.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))))
	32.5b	(/.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))))
	40.8b	(/.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))))))))
	43.9b	(/.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))))
	40.5b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.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)))))
▶	25.0b	(/.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))))
	55.6b	(/.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))))
	60.0b	(/.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))))))
	33.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	56.4b	(/.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))))
	33.2b	(/.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))))
	35.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	27.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.9b	(/.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))))))

Compiler

Compiled 8743 to 4962 computations (43.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	3.8b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	8.4b	(/.f64 (*.f64 t t) l)
✓	13.4b	(.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)))

series370.0ms (1.5%)

Counts

4 → 132

Calls

4 calls:

205.0ms	(.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)))
131.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
20.0ms	(*.f64 (/.f64 t l) (sin.f64 k))
14.0ms	(/.f64 (*.f64 t t) l)

rewrite78.0ms (0.3%)

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:

23.0ms	(.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)))
13.0ms	(.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))
3.0ms	(/.f64 (*.f64 t t) l)

simplify253.0ms (1%)

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

prune419.0ms (1.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	256	10	266
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	266	15	281

Error

9.5b

Counts

281 → 15

Alt Table

Status	Error	Program
	40.5b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.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)))))
	25.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (.f64 (/.f64 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))))
▶	18.6b	(/.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))))
	18.6b	(/.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))))
	24.6b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	60.2b	(/.f64 2 (.f64 (exp.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)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	33.2b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	55.9b	(/.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))))))
	25.0b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (*.f64 (/.f64 t l) (sin.f64 k)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	33.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	25.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.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)))))
	56.4b	(/.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))))
	40.8b	(/.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))))))))
	25.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 t (.f64 (/.f64 1 l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.3b	(/.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))))

Compiler

Compiled 10596 to 4555 computations (57% saved)

localize17.0ms (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)))
	2.3b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	3.8b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	13.4b	(.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)))

series513.0ms (2.1%)

Counts

3 → 108

Calls

3 calls:

201.0ms

(*.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)))

174.0ms

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

137.0ms

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

rewrite170.0ms (0.7%)

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:

44.0ms

(*.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)))

29.0ms

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

26.0ms

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

simplify358.0ms (1.4%)

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

prune1.1s (4.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	379	8	387
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	389	13	402

Error

7.8b

Counts

402 → 13

Alt Table

Status	Error	Program
	20.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 t (/.f64 (sin.f64 k) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.6b	(/.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)))
	40.8b	(/.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))))))))
▶	14.1b	(/.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 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.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)))))
	25.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (.f64 (/.f64 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))))
	29.2b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (sin.f64 k) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) l)))) (.f64 l (cos.f64 k))))
	18.6b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (*.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)))))
	18.2b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 1 (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	33.2b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	17.8b	(/.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))))
	22.6b	(/.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))
	33.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 14936 to 6011 computations (59.8% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	2.5b	(.f64 (.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k))
✓	6.8b	(/.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)))
✓	11.0b	(.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series735.0ms (2.9%)

Counts

3 → 108

Calls

3 calls:

374.0ms

(/.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)))

247.0ms

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

113.0ms

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

rewrite150.0ms (0.6%)

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:

44.0ms

(/.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)))

32.0ms

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

15.0ms

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

simplify301.0ms (1.2%)

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

prune966.0ms (3.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	272	8	280
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	280	13	293

Error

7.3b

Counts

293 → 13

Alt Table

Status	Error	Program
	14.1b	(/.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)))))
	19.8b	(/.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)))))
	14.1b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (/.f64 l t) (cos.f64 k)) (.f64 (.f64 (.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	18.6b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (*.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)))))
	18.2b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 1 (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.4b	(/.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))))
	37.7b	(/.f64 2 (.f64 (sqrt.f64 (/.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)))) (sqrt.f64 (/.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))))))
	40.2b	(/.f64 2 (fma.f64 (/.f64 (pow.f64 k 4) l) (/.f64 t l) (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 k 4) (pow.f64 t 3)) (.f64 l l))))))
	22.6b	(/.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))
	16.6b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 t (/.f64 (sin.f64 k) l))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 l t) (cos.f64 k))))
	25.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (.f64 (/.f64 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))))
	23.5b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 (.f64 t (.f64 t (sin.f64 k))) (sin.f64 k)) l) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 l t) (cos.f64 k))))
	33.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 11752 to 4725 computations (59.8% saved)

regimes6.4s (25.6%)

Accuracy

Total 3.7b remaining (35.9%)

Threshold costs 0b (0%)

Counts

330 → 3

Compiler

Compiled 68665 to 46387 computations (32.4% saved)

bsearch375.0ms (1.5%)

Steps

Iters	Range		Point
10	3.1379811370978e-154	8.429898082236545e-139	4.742834197369878e-140
6	-7.438069883014952e-114	-1.2438805816779854e-114	-4.778976228327041e-114

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	130
1	59	130
2	58	130

end3.0ms (0%)

Compiler: Compiled 88 to 52 computations (40.9% saved)

sample8.6s (34.6%)

Algorithm

1×

intervals

Results

3.9s	2679×	body	1024	valid
1.2s	3534×	body	128	valid
1.2s	1193×	body	512	valid
467.0ms	1488×	body	128	invalid
357.0ms	587×	body	256	valid
158.0ms	156×	body	512	invalid
137.0ms	65×	body	1024	invalid
70.0ms	112×	body	256	invalid
16.0ms	7×	body	2048	valid

Compiler

Compiled 562 to 362 computations (35.6% saved)

Details

analyze2.7s (10.8%)

sample191.0ms (0.8%)

simplify56.0ms (0.2%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series462.0ms (1.8%)

rewrite60.0ms (0.2%)

simplify202.0ms (0.8%)

prune400.0ms (1.6%)

localize17.0ms (0.1%)

series370.0ms (1.5%)

rewrite78.0ms (0.3%)

simplify253.0ms (1%)

prune419.0ms (1.7%)

localize17.0ms (0.1%)

series513.0ms (2.1%)

rewrite170.0ms (0.7%)

simplify358.0ms (1.4%)

prune1.1s (4.4%)

localize36.0ms (0.1%)

series735.0ms (2.9%)

rewrite150.0ms (0.6%)

simplify301.0ms (1.2%)

prune966.0ms (3.9%)

regimes6.4s (25.6%)

bsearch375.0ms (1.5%)

simplify8.0ms (0%)

end3.0ms (0%)

sample8.6s (34.6%)

Profiling