Details

analyze4.2s (16.4%)

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)

sample146.0ms (0.6%)

Algorithm

1×

intervals

Results

65.0ms	82×	body	1024	valid
19.0ms	41×	body	512	valid
18.0ms	112×	body	128	valid
13.0ms	21×	body	256	valid
7.0ms	44×	body	128	invalid
2.0ms	3×	body	1024	invalid
1.0ms	3×	body	512	invalid
1.0ms	2×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify76.0ms (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

35.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	35.2b	(/.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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	4.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	14.2b	(.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)))
✓	18.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite53.0ms (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)))
12.0ms	(.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))

series717.0ms (2.8%)

Counts

4 → 132

Calls

4 calls:

281.0ms	(.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)))
243.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
135.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
58.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify233.0ms (0.9%)

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 → 553

Iterations

Useful iterations: 2 (0.0ms)

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

prune350.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	540	13	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	541	13	554

Error

13.8b

Counts

554 → 13

Alt Table

Status	Error	Program
	30.0b	(/.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))))
	54.9b	(/.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))))
	33.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	24.7b	(/.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))))
	43.2b	(/.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))))))))
	55.9b	(/.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))))
	27.3b	(/.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))))
	53.9b	(/.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))))
	40.6b	(/.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))))
	34.5b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
▶	24.5b	(/.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))))
	24.5b	(/.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))))
	40.6b	(/.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 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 8512 to 4810 computations (43.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
✓	4.4b	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
✓	9.2b	(/.f64 (*.f64 t t) l)
✓	14.2b	(.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)))

rewrite52.0ms (0.2%)

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 → 159

Calls

4 calls:

20.0ms	(.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)))
12.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
6.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
3.0ms	(/.f64 (*.f64 t t) l)

series648.0ms (2.5%)

Counts

4 → 132

Calls

4 calls:

289.0ms	(.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)))
236.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (tan.f64 k))
87.0ms	(.f64 (/.f64 (.f64 t t) l) (sin.f64 k))
35.0ms	(/.f64 (*.f64 t t) l)

simplify263.0ms (1%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-def_binary64`
669×	`associate-r_binary64`
348×	`*-commutative_binary64`
241×	`associate-*l/_binary64`
183×	`distribute-rgt-in_binary64`

Counts

291 → 555

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	8854
1	1070	7129
2	3638	7095
3	4722	7095
4	4980	7095
5	4933	7095

prune422.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	547	8	555
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	555	13	568

Error

8.6b

Counts

568 → 13

Alt Table

Status	Error	Program
	18.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (/.f64 l t)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	40.6b	(/.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))))
	24.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t t) (.f64 (/.f64 1 l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.7b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t 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 l) (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (/.f64 t (cbrt.f64 l)) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.2b	(/.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))))))))
	55.9b	(/.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))))
	27.3b	(/.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))))
	24.3b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	33.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	42.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 (/.f64 t (sqrt.f64 l)) (/.f64 t (sqrt.f64 l))) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	16.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	53.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (fma.f64 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l) -1/6 (/.f64 (.f64 k (*.f64 t t)) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 9951 to 4328 computations (56.5% 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 2 (pow.f64 (/.f64 k t) 2))))
✓	2.0b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
✓	3.1b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	14.2b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite114.0ms (0.4%)

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 → 316

Calls

4 calls:

28.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
27.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
16.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
5.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

series1.0s (4%)

Counts

4 → 144

Calls

4 calls:

437.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
276.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
246.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
67.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify744.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
544×	`associate-/r*_binary64`
462×	`times-frac_binary64`
383×	`associate-/l*_binary64`
229×	`*-commutative_binary64`

Counts

460 → 872

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	673	19026
1	1654	16342
2	4585	16329
3	5011	16329

prune2.0s (7.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	863	9	872
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	870	15	885

Error

7.0b

Counts

885 → 15

Alt Table

Status	Error	Program
	16.9b	(.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 2 (pow.f64 (/.f64 k t) 2))))
	24.9b	(.f64 (sqrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))) (tan.f64 k))))) (sqrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))) (tan.f64 k))))))
	17.5b	(.f64 2 (/.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.5b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) 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))))))
	27.3b	(/.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))))
▶	16.8b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.8b	(/.f64 2 (.f64 (/.f64 (.f64 (sin.f64 k) (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))) (cos.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	40.6b	(/.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))))
	33.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	33.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	17.5b	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t t) (.f64 (/.f64 1 l) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.7b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 t (.f64 t (sin.f64 k)))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 (.f64 1 l) (cos.f64 k)))
	53.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (fma.f64 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l) -1/6 (/.f64 (.f64 k (*.f64 t t)) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (/.f64 t (cbrt.f64 l)) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 22477 to 10370 computations (53.9% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2)))
	2.0b	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
	3.1b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	13.8b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))

rewrite184.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

941×	`add-exp-log_binary64`
560×	`prod-exp_binary64`
324×	`div-exp_binary64`
253×	`add-cbrt-cube_binary64`
132×	`cbrt-unprod_binary64`

Counts

2 → 259

Calls

2 calls:

96.0ms	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
14.0ms	(/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series639.0ms (2.5%)

Counts

2 → 60

Calls

2 calls:

600.0ms	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
39.0ms	(/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2)))

simplify758.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

471×	`times-frac_binary64`
460×	`associate-*l/_binary64`
459×	`associate-/r*_binary64`
367×	`associate-*r/_binary64`
339×	`fma-def_binary64`

Counts

319 → 607

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	15154
1	1240	12187
2	4354	12164
3	4409	12164
4	4954	12164
5	4946	12164

prune883.0ms (3.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	908	6	914
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	916	13	929

Error

6.7b

Counts

929 → 13

Alt Table

Status	Error	Program
	26.2b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 t (.f64 t (sin.f64 k)))) (sin.f64 k))) (.f64 (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (cos.f64 k) l)))
	16.8b	(.f64 (/.f64 1 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k))))) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (tan.f64 k)))
	17.8b	(/.f64 2 (.f64 (/.f64 (.f64 (sin.f64 k) (.f64 (/.f64 t l) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))) (cos.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.8b	(.f64 (/.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 t (*.f64 (sin.f64 k) (/.f64 t l)))) (tan.f64 k))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (/.f64 2 (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	25.7b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 t (.f64 t (sin.f64 k)))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 (.f64 1 l) (cos.f64 k)))
	50.0b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))) (.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 k 2))))
	41.5b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) 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))))))
	16.8b	(pow.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 (.f64 (/.f64 t l) (.f64 t (.f64 (sin.f64 k) (/.f64 t l)))) (tan.f64 k))) 1)
	33.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	33.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	17.5b	(.f64 (/.f64 (/.f64 l t) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	53.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (fma.f64 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l) -1/6 (/.f64 (.f64 k (*.f64 t t)) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 t (/.f64 (sin.f64 k) l)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 21677 to 10442 computations (51.8% saved)

regimes4.0s (15.5%)

Accuracy

Total 4.0b remaining (33.7%)

Threshold costs 0b (0%)

Compiler

Compiled 60928 to 41463 computations (31.9% saved)

bsearch379.0ms (1.5%)

Steps

Iters	Range		Point
8	3.852435490387989e+150	2.090663488457694e+154	2.916775720671396e+152
6	15662287.292663688	130047741.66136801	24609664.9974396
8	1.7293119217993332e-150	2.4264383134376616e-146	1.7556874143821332e-146
7	-3.302700771000397e-148	-6.663781506613151e-150	-3.1111375128457297e-148
7	-5.743535434031879e+138	-3.8693267278912616e+136	-6.387471119151526e+136

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	252
1	95	252
2	94	252

end2.0ms (0%)

Compiler: Compiled 169 to 93 computations (45% saved)

sample7.9s (30.4%)

Algorithm

1×

intervals

Results

3.7s	2756×	body	1024	valid
1.1s	1294×	body	512	valid
986.0ms	3398×	body	128	valid
393.0ms	1369×	body	128	invalid
306.0ms	543×	body	256	valid
112.0ms	126×	body	512	invalid
66.0ms	54×	body	1024	invalid
64.0ms	108×	body	256	invalid
17.0ms	9×	body	2048	valid

Compiler

Compiled 614 to 399 computations (35% saved)

Details

analyze4.2s (16.4%)

sample146.0ms (0.6%)

simplify76.0ms (0.3%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite53.0ms (0.2%)

series717.0ms (2.8%)

simplify233.0ms (0.9%)

prune350.0ms (1.4%)

localize17.0ms (0.1%)

rewrite52.0ms (0.2%)

series648.0ms (2.5%)

simplify263.0ms (1%)

prune422.0ms (1.6%)

localize17.0ms (0.1%)

rewrite114.0ms (0.4%)

series1.0s (4%)

simplify744.0ms (2.9%)

prune2.0s (7.6%)

localize36.0ms (0.1%)

rewrite184.0ms (0.7%)

series639.0ms (2.5%)

simplify758.0ms (2.9%)

prune883.0ms (3.4%)

regimes4.0s (15.5%)

bsearch379.0ms (1.5%)

simplify6.0ms (0%)

end2.0ms (0%)

sample7.9s (30.4%)

Profiling