Details

analyze2.8s (15.5%)

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)

sample204.0ms (1.1%)

Algorithm

1×

intervals

Results

75.0ms	91×	body	1024	valid
18.0ms	115×	body	128	valid
14.0ms	31×	body	512	valid
10.0ms	55×	body	128	invalid
7.0ms	17×	body	256	valid
3.0ms	2×	body	2048	valid
3.0ms	6×	body	512	invalid
2.0ms	5×	body	256	invalid
1.0ms	1×	body	1024	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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

29.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 107 to 75 computations (29.9% saved)

localize20.0ms (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))
✓	3.4b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	12.7b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
✓	14.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series486.0ms (2.7%)

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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
129.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
111.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
35.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite80.0ms (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 → 168

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
9.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))

simplify202.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

945×	`fma-def_binary64`
540×	`associate-l_binary64`
414×	`associate-r_binary64`
243×	`*-commutative_binary64`
172×	`times-frac_binary64`

Counts

300 → 235

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	8065
1	861	7110
2	3858	7100
3	4973	7100
4	4980	7100

prune379.0ms (2.1%)

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

14.0b

Counts

236 → 13

Alt Table

Status	Error	Program
	33.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	54.6b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	57.6b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	29.8b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
▶	22.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	39.4b	(/.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))))))))
	25.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	60.6b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))))
	22.5b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	24.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	48.0b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	26.6b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	45.1b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 9195 to 5432 computations (40.9% saved)

localize19.0ms (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))
✓	5.1b	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
✓	8.4b	(/.f64 (*.f64 t t) l)
✓	12.7b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))

series394.0ms (2.2%)

Counts

4 → 132

Calls

4 calls:

196.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
144.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
33.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
21.0ms	(/.f64 (*.f64 t t) l)

rewrite76.0ms (0.4%)

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 → 160

Calls

4 calls:

26.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
12.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
7.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
4.0ms	(/.f64 (*.f64 t t) l)

simplify176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

633×	`associate-r_binary64`
433×	`associate-/l/_binary64`
335×	`*-commutative_binary64`
240×	`associate-*l/_binary64`
233×	`distribute-rgt-in_binary64`

Counts

292 → 254

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	9318
1	1054	7353
2	3659	7031
3	5022	7031

prune461.0ms (2.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	243	11	254
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	250	17	267

Error

8.3b

Counts

267 → 17

Alt Table

Status	Error	Program
	28.1b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (.f64 t t) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)) (.f64 l l)))
	24.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	33.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	22.3b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 t (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) l) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	27.1b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
▶	15.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	49.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (fma.f64 (/.f64 k l) (.f64 t t) (.f64 (/.f64 (.f64 (*.f64 t t) (pow.f64 k 3)) l) -1/6))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	57.6b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	29.8b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	51.6b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	25.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	24.9b	(/.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))
	16.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (/.f64 l t)) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	37.9b	(/.f64 2 (+.f64 (/.f64 (.f64 t (pow.f64 k 4)) (.f64 l 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))))))
	22.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k)) (tan.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	48.0b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	55.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 k 5) (pow.f64 t 2)) l)) (/.f64 (.f64 k (pow.f64 t 2)) l)) (.f64 1/6 (/.f64 (.f64 (pow.f64 k 3) (pow.f64 t 2)) l)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 10864 to 5147 computations (52.6% saved)

localize17.0ms (0.1%)

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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
✓	2.7b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
✓	4.5b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	12.7b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))

series669.0ms (3.7%)

Counts

4 → 144

Calls

4 calls:

322.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
197.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
128.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
22.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

rewrite180.0ms (1%)

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 → 317

Calls

4 calls:

31.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
28.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
16.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
9.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify490.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

551×	`associate-/r*_binary64`
462×	`times-frac_binary64`
383×	`associate-/l*_binary64`
278×	`distribute-rgt-in_binary64`
270×	`distribute-lft-in_binary64`

Counts

461 → 506

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	673	20693
1	1640	16995
2	4664	16991
3	4763	16991
4	4996	16991
5	4929	16991

prune987.0ms (5.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	497	9	506
Fresh	9	7	16
Picked	1	0	1
Done	0	0	0
Total	507	16	523

Error

7.0b

Counts

523 → 16

Alt Table

Status	Error	Program
▶	15.1b	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
	37.9b	(/.f64 2 (+.f64 (/.f64 (.f64 t (pow.f64 k 4)) (.f64 l 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))))))
	43.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (sqrt.f64 (tan.f64 k))) (sqrt.f64 (tan.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	16.2b	(.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	24.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	15.3b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	41.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (-.f64 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 k 5) t) l)) (/.f64 (.f64 k t) l)) (.f64 1/6 (/.f64 (*.f64 (pow.f64 k 3) t) l))))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	48.0b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	33.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	27.1b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	16.1b	(/.f64 (/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (tan.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))
	49.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (fma.f64 (/.f64 k l) (.f64 t t) (.f64 (/.f64 (.f64 (*.f64 t t) (pow.f64 k 3)) l) -1/6))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	19.5b	(.f64 (/.f64 2 (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1)) (.f64 (sin.f64 k) (.f64 t (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)))))) (*.f64 l (cos.f64 k)))
	15.7b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (*.f64 (tan.f64 k) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))))
	17.5b	(/.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	16.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (/.f64 l t)) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 23872 to 11889 computations (50.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (*.f64 t (sin.f64 k)) l)
✓	1.7b	(/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))
✓	3.9b	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
✓	13.0b	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))

series762.0ms (4.2%)

Counts

4 → 112

Calls

4 calls:

354.0ms	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
290.0ms	(/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))
90.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
27.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

rewrite133.0ms (0.7%)

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×	`times-frac_binary64`

Counts

4 → 214

Calls

4 calls:

46.0ms	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
12.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
9.0ms	(/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))
4.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

simplify284.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

326 → 380

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	13175
1	1553	10901
2	4734	10889
3	4977	10889

prune906.0ms (5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	373	7	380
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	382	14	396

Error

7.0b

Counts

396 → 14

Alt Table

Status	Error	Program
	37.9b	(/.f64 2 (+.f64 (/.f64 (.f64 t (pow.f64 k 4)) (.f64 l 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))))))
	43.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (sqrt.f64 (tan.f64 k))) (sqrt.f64 (tan.f64 k))) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	16.2b	(.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 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	13.9b	(.f64 (.f64 (/.f64 1 (*.f64 t (/.f64 (sin.f64 k) (/.f64 l t)))) (/.f64 (/.f64 l t) (tan.f64 k))) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
	17.6b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 t) (cbrt.f64 t))) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (*.f64 (/.f64 (/.f64 l (cbrt.f64 t)) (tan.f64 k)) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1)))))
	33.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	27.1b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	17.2b	(.f64 (/.f64 (/.f64 l t) (.f64 t (.f64 (/.f64 (.f64 t (sin.f64 k)) l) (tan.f64 k)))) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
	13.8b	(/.f64 (.f64 (/.f64 l t) 2) (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
	15.2b	(.f64 (/.f64 (/.f64 l t) (.f64 (*.f64 t (/.f64 (sin.f64 k) (/.f64 l t))) (tan.f64 k))) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
	19.5b	(.f64 (/.f64 2 (.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1)) (.f64 (sin.f64 k) (.f64 t (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)))))) (*.f64 l (cos.f64 k)))
	27.1b	(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 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1)))))
	16.0b	(.f64 (/.f64 (/.f64 (/.f64 l t) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (tan.f64 k)) (/.f64 2 (+.f64 1 (+.f64 (pow.f64 (/.f64 k t) 2) 1))))
	15.7b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (*.f64 (tan.f64 k) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1))))

Compiler

Compiled 15891 to 6640 computations (58.2% saved)

regimes3.5s (19.4%)

Accuracy

Total 2.6b remaining (26.2%)

Threshold costs 0b (0%)

Counts

283 → 3

Compiler

Compiled 62526 to 43191 computations (30.9% saved)

bsearch226.0ms (1.3%)

Steps

Iters	Range		Point
11	2.1674174949516072e-82	5.378648749769654e-61	2.3156856470715744e-81
9	-14666615597229.36	-195510.32785058272	-198860.82714289907

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	101
1	57	101
2	56	101

end1.0ms (0%)

Compiler: Compiled 69 to 47 computations (31.9% saved)

sample4.5s (24.9%)

Algorithm

1×

intervals

Results

2.0s	2668×	body	1024	valid
615.0ms	1231×	body	512	valid
610.0ms	3544×	body	128	valid
240.0ms	1381×	body	128	invalid
188.0ms	550×	body	256	valid
58.0ms	116×	body	512	invalid
34.0ms	104×	body	256	invalid
24.0ms	35×	body	1024	invalid
11.0ms	7×	body	2048	valid

Compiler

Compiled 554 to 382 computations (31% saved)

Details

analyze2.8s (15.5%)

sample204.0ms (1.1%)

simplify56.0ms (0.3%)

prune4.0ms (0%)

localize20.0ms (0.1%)

series486.0ms (2.7%)

rewrite80.0ms (0.4%)

simplify202.0ms (1.1%)

prune379.0ms (2.1%)

localize19.0ms (0.1%)

series394.0ms (2.2%)

rewrite76.0ms (0.4%)

simplify176.0ms (1%)

prune461.0ms (2.6%)

localize17.0ms (0.1%)

series669.0ms (3.7%)

rewrite180.0ms (1%)

simplify490.0ms (2.7%)

prune987.0ms (5.5%)

localize19.0ms (0.1%)

series762.0ms (4.2%)

rewrite133.0ms (0.7%)

simplify284.0ms (1.6%)

prune906.0ms (5%)

regimes3.5s (19.4%)

bsearch226.0ms (1.3%)

simplify5.0ms (0%)

end1.0ms (0%)

sample4.5s (24.9%)

Profiling