Details

analyze3.2s (13.5%)

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
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0.8%	98.7%	0.5%	10
1.8%	96.9%	1.3%	11
2.4%	95.6%	2%	12
3.5%	92.8%	3.7%	13
4.4%	90.2%	5.4%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample12.3s (51.3%)

Results

7.2s	1569×	body	8192	exit
2.7s	2823×	body	1024	valid
907.0ms	3616×	body	128	valid
796.0ms	1243×	body	512	valid
256.0ms	571×	body	256	valid
183.0ms	740×	body	128	invalid
51.0ms	80×	body	512	invalid
28.0ms	61×	body	256	invalid
26.0ms	29×	body	1024	invalid
4.0ms	3×	body	2048	valid

Compiler

Compiled 57 to 43 computations (24.6% saved)

simplify55.0ms (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

32.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.5b	(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	2.7b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	14.0b	(.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)))
✓	17.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series436.0ms (1.8%)

Counts

4 → 132

Calls

4 calls:

197.0ms	(.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)))
130.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
74.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
34.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite59.0ms (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:

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)))
9.0ms	(.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))

simplify194.0ms (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 → 234

Iterations

Useful iterations: 2 (0.0ms)

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

prune395.0ms (1.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	217	17	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	17	235

Error

12.7b

Counts

235 → 17

Alt Table

Status	Error	Program
	59.0b	(/.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))))
	25.3b	(/.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))))
	32.3b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (/.f64 (sin.f64 k) (.f64 l l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.9b	(/.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))))))))
	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))))
	32.5b	(/.f64 2 (.f64 (.f64 (cbrt.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)))) (cbrt.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))))) (cbrt.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))))))
	53.5b	(/.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))))
	61.0b	(/.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))))))
	47.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	55.6b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.6b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	28.0b	(/.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))))
	29.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 1 l) (/.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 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	58.7b	(/.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))))))
	53.0b	(/.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))))

Compiler

Compiled 8896 to 5070 computations (43% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	4.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	9.3b	(/.f64 (*.f64 t t) l)
✓	14.0b	(.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)))

series346.0ms (1.4%)

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)))
123.0ms	(.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))
10.0ms	(/.f64 (*.f64 t t) l)

rewrite65.0ms (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:

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)))
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)

simplify247.0ms (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

prune474.0ms (2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	256	10	266
Fresh	11	5	16
Picked	1	0	1
Done	0	0	0
Total	268	15	283

Error

9.2b

Counts

283 → 15

Alt Table

Status	Error	Program
	27.6b	(/.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))
	47.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	41.5b	(/.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))))
	23.0b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.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 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	31.1b	(/.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)))
	23.0b	(/.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))))
	42.9b	(/.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))))))))
	24.0b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (.f64 t t) (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (.f64 l (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.9b	(/.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)))))
	22.6b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
▶	17.9b	(/.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))))
	58.7b	(/.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))))))
	18.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 t (cbrt.f64 l))) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 10658 to 4565 computations (57.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k)))
✓	2.7b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
	4.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	14.0b	(.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)))

series391.0ms (1.6%)

Counts

3 → 108

Calls

3 calls:

193.0ms

(*.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)))

122.0ms

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

76.0ms

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

rewrite70.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

145×	`add-cbrt-cube_binary64`
145×	`add-exp-log_binary64`
94×	`cbrt-unprod_binary64`
94×	`prod-exp_binary64`
58×	`pow1_binary64`

Counts

3 → 151

Calls

3 calls:

21.0ms

(*.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)))

11.0ms

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

8.0ms

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

simplify233.0ms (1%)

Algorithm

1×	egg-herbie

Rules

883×	`times-frac_binary64`
537×	`fma-def_binary64`
446×	`*-commutative_binary64`
201×	`distribute-lft-in_binary64`
201×	`distribute-rgt-in_binary64`

Counts

259 → 230

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	9435
1	1035	7300
2	2673	7264
3	4738	7264
4	5000	7264
5	4914	7264

prune489.0ms (2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	285	7	292
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	292	15	307

Error

8.1b

Counts

307 → 15

Alt Table

Status	Error	Program
	43.2b	(/.f64 2 (.f64 (sqrt.f64 (.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)))) (sqrt.f64 (.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))))))
	31.1b	(/.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)))
	22.6b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 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)))))
	58.7b	(/.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))))))
	22.0b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 t (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	27.6b	(/.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))
	47.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	23.0b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.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))))))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.9b	(/.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))))))))
▶	17.1b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	19.1b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (*.f64 (/.f64 t l) (sin.f64 k)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 11755 to 4948 computations (57.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
	0.8b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (sin.f64 k)))
	4.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	15.7b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series237.0ms (1%)

Counts

2 → 60

Calls

2 calls:

197.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
40.0ms	(*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite63.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`add-cbrt-cube_binary64`
108×	`add-exp-log_binary64`
73×	`cbrt-unprod_binary64`
73×	`prod-exp_binary64`
45×	`pow1_binary64`

Counts

2 → 117

Calls

2 calls:

24.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
12.0ms	(*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

simplify135.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
609×	`distribute-rgt-in_binary64`
599×	`fma-def_binary64`
445×	`*-commutative_binary64`
198×	`distribute-lft-in_binary64`

Counts

177 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	7891
1	979	6018
2	2752	5862
3	5384	5862

prune518.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	289	6	295
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	296	14	310

Error

8.1b

Counts

310 → 14

Alt Table

Status	Error	Program
	22.6b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 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)))))
	58.7b	(/.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))))))
	22.7b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 t l) (sin.f64 k)) (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (/.f64 t l) (sin.f64 k))))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	22.0b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 t (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	27.6b	(/.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))
	29.9b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (*.f64 2 k)))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.8b	(/.f64 2 (.f64 (.f64 t (/.f64 t l)) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (*.f64 (sin.f64 k) (/.f64 t l)) (tan.f64 k)))))
	16.8b	(/.f64 2 (.f64 (.f64 t (/.f64 t l)) (.f64 (.f64 (/.f64 t l) (sin.f64 k)) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	44.1b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (sqrt.f64 (tan.f64 k)) (.f64 (sqrt.f64 (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	42.9b	(/.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))))))))
	31.1b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t t) (.f64 t (sin.f64 k))) (.f64 (sin.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
	34.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 11512 to 4777 computations (58.5% saved)

regimes3.1s (13.1%)

Accuracy

Total 5.1b remaining (37%)

Threshold costs 0b (0%)

Counts

248 → 3

Compiler

Compiled 50431 to 33879 computations (32.8% saved)

bsearch496.0ms (2.1%)

Steps

Iters	Range		Point
10	4.232928885422595e-42	1.9003231812524463e-32	1.199423056156474e-39
9	-2.2208442917371576e-123	-7.162712499270113e-130	-3.2224024783374074e-125

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	117
1	57	117
2	56	117

end292.0ms (1.2%)

Compiler: Compiled 613 to 389 computations (36.5% saved)

Details

analyze3.2s (13.5%)

sample12.3s (51.3%)

simplify55.0ms (0.2%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series436.0ms (1.8%)

rewrite59.0ms (0.2%)

simplify194.0ms (0.8%)

prune395.0ms (1.7%)

localize19.0ms (0.1%)

series346.0ms (1.4%)

rewrite65.0ms (0.3%)

simplify247.0ms (1%)

prune474.0ms (2%)

localize16.0ms (0.1%)

series391.0ms (1.6%)

rewrite70.0ms (0.3%)

simplify233.0ms (1%)

prune489.0ms (2%)

localize16.0ms (0.1%)

series237.0ms (1%)

rewrite63.0ms (0.3%)

simplify135.0ms (0.6%)

prune518.0ms (2.2%)

regimes3.1s (13.1%)

bsearch496.0ms (2.1%)

simplify3.0ms (0%)

end292.0ms (1.2%)

Profiling