Details

analyze2.8s (16.8%)

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)

sample201.0ms (1.2%)

Algorithm

1×

intervals

Results

68.0ms	92×	body	1024	valid
23.0ms	108×	body	128	valid
21.0ms	41×	body	512	valid
7.0ms	44×	body	128	invalid
4.0ms	12×	body	256	valid
3.0ms	3×	body	2048	valid
2.0ms	2×	body	512	invalid
2.0ms	2×	body	1024	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify53.0ms (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

30.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	30.5b	(/.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.2b	(.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)))
✓	16.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series504.0ms (3%)

Counts

4 → 132

Calls

4 calls:

202.0ms	(.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)))
184.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
77.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
40.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite58.0ms (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:

18.0ms	(.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 (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))

simplify196.0ms (1.2%)

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

prune362.0ms (2.1%)

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

13.1b

Counts

236 → 15

Alt Table

Status	Error	Program
	30.6b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))) (cbrt.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)))) (cbrt.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.1b	(/.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))))))
	33.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	56.0b	(/.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))))
	20.4b	(/.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))))
	33.2b	(/.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 (.f64 l l) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	50.2b	(/.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))))
	20.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.9b	(/.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))))
	44.6b	(/.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))))
▶	20.4b	(/.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))))
	25.0b	(/.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))))
	55.2b	(/.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))))
	23.0b	(/.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))))
	41.8b	(/.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))))

Compiler

Compiled 8679 to 4922 computations (43.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(.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))
✓	8.1b	(/.f64 (*.f64 t t) l)
✓	12.0b	(.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)))

series387.0ms (2.3%)

Counts

4 → 132

Calls

4 calls:

218.0ms	(.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)))
135.0ms	(.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))
12.0ms	(/.f64 (*.f64 t t) l)

rewrite78.0ms (0.5%)

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:

26.0ms	(.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)))
14.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
6.0ms	(*.f64 (/.f64 t l) (sin.f64 k))
4.0ms	(/.f64 (*.f64 t t) l)

simplify243.0ms (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

prune500.0ms (2.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	255	11	266
Fresh	10	4	14
Picked	1	0	1
Done	0	0	0
Total	266	15	281

Error

9.4b

Counts

281 → 15

Alt Table

Status	Error	Program
	44.6b	(/.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))))
▶	15.5b	(/.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))))
	15.5b	(/.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))))
	57.3b	(/.f64 2 (*.f64 (exp.f64 (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (+.f64 (log.f64 (/.f64 t l)) (log.f64 (sin.f64 k)))) (log.f64 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.8b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.3b	(/.f64 2 (/.f64 (/.f64 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (tan.f64 k) (/.f64 (*.f64 (sin.f64 k) (pow.f64 t 3)) l))) l) (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	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))))
	56.0b	(/.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))))
	20.5b	(/.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))))
	17.1b	(/.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))))
	20.1b	(/.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)))))
	42.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (fma.f64 (/.f64 (.f64 t (pow.f64 k 3)) l) -1/6 (/.f64 (.f64 k t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.2b	(/.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))))
	20.4b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (cos.f64 k)))
	21.5b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))

Compiler

Compiled 10506 to 4511 computations (57.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))
✓	2.2b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
	4.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	12.0b	(.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)))

series421.0ms (2.5%)

Counts

3 → 108

Calls

3 calls:

209.0ms

(*.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)))

132.0ms

(*.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)))

rewrite87.0ms (0.5%)

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:

24.0ms

(*.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)))

15.0ms

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

12.0ms

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

simplify207.0ms (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

prune713.0ms (4.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	382	5	387
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	391	11	402

Error

7.9b

Counts

402 → 11

Alt Table

Status	Error	Program
	15.5b	(/.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))))
	35.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 (sqrt.f64 l) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (.f64 (/.f64 (cbrt.f64 t) (/.f64 (sqrt.f64 l) (cbrt.f64 t))) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.7b	(/.f64 2 (/.f64 (.f64 (.f64 (sin.f64 k) (.f64 t (.f64 t (sin.f64 k)))) (-.f64 4 (pow.f64 (/.f64 k t) 4))) (.f64 (.f64 (cos.f64 k) (*.f64 l (/.f64 l t))) (-.f64 2 (pow.f64 (/.f64 k t) 2)))))
	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))))
	15.7b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.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))))))
	21.5b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	44.6b	(/.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))))
	20.1b	(/.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)))))
	16.5b	(/.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))))
	32.3b	(/.f64 2 (/.f64 (/.f64 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (tan.f64 k) (/.f64 (*.f64 (sin.f64 k) (pow.f64 t 3)) l))) l) (-.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	12.0b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 l t)))

Compiler

Compiled 14852 to 5921 computations (60.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.3b	(.f64 (.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
	4.2b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	5.1b	(/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 l t))
✓	10.0b	(.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series484.0ms (2.9%)

Counts

3 → 108

Calls

3 calls:

209.0ms

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

188.0ms

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

87.0ms

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

rewrite74.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-cbrt-cube_binary64`
97×	`add-exp-log_binary64`
51×	`cbrt-unprod_binary64`
51×	`prod-exp_binary64`
31×	`times-frac_binary64`

Counts

3 → 145

Calls

3 calls:

21.0ms

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

18.0ms

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

10.0ms

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

650×	`associate-l_binary64`
568×	`associate-/l*_binary64`
544×	`fma-def_binary64`
310×	`times-frac_binary64`
205×	`associate-*l/_binary64`

Counts

253 → 277

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	9901
1	1170	8597
2	4943	8586
3	5331	8586

prune620.0ms (3.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	333	6	339
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	340	10	350

Error

6.9b

Counts

350 → 10

Alt Table

Status	Error	Program
	16.5b	(/.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))))
	16.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 l (cbrt.f64 t)))))
	22.1b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 t (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 l (/.f64 l t))))
	15.7b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.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))))))
	12.0b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (/.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 l t))))
	12.2b	(/.f64 2 (/.f64 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (cbrt.f64 (/.f64 l t)) (cbrt.f64 (/.f64 l t)))) (cbrt.f64 (/.f64 l t))))
	32.3b	(/.f64 2 (/.f64 (/.f64 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (tan.f64 k) (/.f64 (*.f64 (sin.f64 k) (pow.f64 t 3)) l))) l) (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.9b	(/.f64 2 (/.f64 (/.f64 (fma.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (.f64 t t)) (cos.f64 k)) (/.f64 (.f64 (.f64 k k) (pow.f64 (sin.f64 k) 2)) (cos.f64 k))) l) (/.f64 l t)))
	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))))
	11.7b	(/.f64 2 (/.f64 (.f64 (.f64 t (.f64 (/.f64 t l) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (/.f64 l t)))

Compiler

Compiled 12661 to 5101 computations (59.7% saved)

regimes4.0s (23.7%)

Accuracy

Total 2.8b remaining (30.2%)

Threshold costs 0b (0%)

Counts

281 → 3

Compiler

Compiled 57288 to 38243 computations (33.2% saved)

bsearch221.0ms (1.3%)

Steps

Iters	Range		Point
8	6.8059686082716845e-62	1.0602655557716833e-57	2.8663412960712757e-61
10	-3.1483599193011413e-115	-2.152814724008133e-128	-1.8747597343747076e-115

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	145
1	55	145
2	54	145

end4.0ms (0%)

Compiler: Compiled 98 to 54 computations (44.9% saved)

sample4.4s (26%)

Algorithm

1×

intervals

Results

2.0s	2663×	body	1024	valid
616.0ms	1269×	body	512	valid
580.0ms	3492×	body	128	valid
254.0ms	1480×	body	128	invalid
192.0ms	566×	body	256	valid
56.0ms	123×	body	512	invalid
49.0ms	62×	body	1024	invalid
28.0ms	89×	body	256	invalid
12.0ms	10×	body	2048	valid

Compiler

Compiled 486 to 296 computations (39.1% saved)

Details

analyze2.8s (16.8%)

sample201.0ms (1.2%)

simplify53.0ms (0.3%)

prune4.0ms (0%)

localize18.0ms (0.1%)

series504.0ms (3%)

rewrite58.0ms (0.3%)

simplify196.0ms (1.2%)

prune362.0ms (2.1%)

localize17.0ms (0.1%)

series387.0ms (2.3%)

rewrite78.0ms (0.5%)

simplify243.0ms (1.4%)

prune500.0ms (2.9%)

localize20.0ms (0.1%)

series421.0ms (2.5%)

rewrite87.0ms (0.5%)

simplify207.0ms (1.2%)

prune713.0ms (4.2%)

localize21.0ms (0.1%)

series484.0ms (2.9%)

rewrite74.0ms (0.4%)

simplify189.0ms (1.1%)

prune620.0ms (3.7%)

regimes4.0s (23.7%)

bsearch221.0ms (1.3%)

simplify4.0ms (0%)

end4.0ms (0%)

sample4.4s (26%)

Profiling