Details

analyze2.8s (15.9%)

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 (1.1%)

Algorithm

1×

intervals

Results

59.0ms	86×	body	1024	valid
21.0ms	118×	body	128	valid
18.0ms	40×	body	512	valid
12.0ms	49×	body	128	invalid
4.0ms	12×	body	256	valid
4.0ms	8×	body	512	invalid
1.0ms	2×	body	1024	invalid
1.0ms	4×	body	256	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

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

34.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	34.8b	(/.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
✓	2.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	6.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	12.1b	(.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)))
✓	16.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series461.0ms (2.7%)

Counts

4 → 132

Calls

4 calls:

215.0ms	(.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)))
131.0ms	(.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))
38.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite56.0ms (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:

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)))
11.0ms	(.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))

simplify212.0ms (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

prune375.0ms (2.2%)

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

15.1b

Counts

236 → 13

Alt Table

Status	Error	Program
	57.9b	(/.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))))))
	40.4b	(/.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))))))))
	57.9b	(/.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))))
	34.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	21.9b	(/.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))))
	22.1b	(/.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))))
	39.8b	(/.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)))))
	38.2b	(/.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))))
	28.3b	(/.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))))
▶	21.9b	(/.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))))
	36.9b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	52.0b	(/.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))))
	25.9b	(/.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))))

Compiler

Compiled 8655 to 4890 computations (43.5% saved)

localize18.0ms (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))
✓	7.3b	(/.f64 (*.f64 t t) l)
✓	12.1b	(.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)))

series375.0ms (2.2%)

Counts

4 → 132

Calls

4 calls:

203.0ms	(.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)))
128.0ms	(.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))
11.0ms	(/.f64 (*.f64 t t) l)

rewrite75.0ms (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 → 159

Calls

4 calls:

27.0ms	(.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)))
16.0ms	(.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))
4.0ms	(/.f64 (*.f64 t t) l)

simplify238.0ms (1.4%)

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 → 254

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

prune498.0ms (2.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	243	11	254
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	248	19	267

Error

9.1b

Counts

267 → 19

Alt Table

Status	Error	Program
	57.9b	(/.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))))))
	40.4b	(/.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))))))))
	39.8b	(/.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)))))
	35.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (/.f64 (.f64 t t) l)) (/.f64 (.f64 t t) l)) (.f64 (*.f64 (sin.f64 k) (sin.f64 k)) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.9b	(/.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))))
	34.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	38.2b	(/.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))))
	16.5b	(/.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))))
	16.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (/.f64 t l)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.8b	(/.f64 2 (.f64 (sqrt.f64 (.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)))) (sqrt.f64 (.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))))))
	22.5b	(/.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))))
	36.9b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	22.7b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 (/.f64 (.f64 t t) l) (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
▶	14.7b	(/.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))))
	52.0b	(/.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))))
	28.4b	(/.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))
	22.7b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	39.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t (sqrt.f64 l)) (*.f64 (/.f64 t (sqrt.f64 l)) (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.9b	(/.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 10481 to 4649 computations (55.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k))))
✓	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))
✓	12.1b	(.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)))

series464.0ms (2.7%)

Counts

4 → 144

Calls

4 calls:

227.0ms	(.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)))
136.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k)))) (tan.f64 k))
79.0ms	(.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k))))
22.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

rewrite125.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

352×	`add-exp-log_binary64`
253×	`add-cbrt-cube_binary64`
216×	`prod-exp_binary64`
150×	`cbrt-unprod_binary64`
107×	`associate-*l/_binary64`

Counts

4 → 278

Calls

4 calls:

28.0ms	(.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))
12.0ms	(.f64 (/.f64 t l) (.f64 (/.f64 t 1) (*.f64 (/.f64 t l) (sin.f64 k))))
5.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify386.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-def_binary64`
545×	`*-commutative_binary64`
297×	`associate-*l/_binary64`
225×	`distribute-rgt-in_binary64`
220×	`distribute-lft-in_binary64`

Counts

422 → 415

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	489	13961
1	1240	10768
2	3622	10702
3	4600	10696
4	4965	10696
5	4922	10696

prune902.0ms (5.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	405	10	415
Fresh	15	3	18
Picked	1	0	1
Done	0	0	0
Total	421	13	434

Error

8.5b

Counts

434 → 13

Alt Table

Status	Error	Program
	43.4b	(/.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) l) (tan.f64 k)))) (sqrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) l) (tan.f64 k))))))
	40.4b	(/.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))))))))
	15.3b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 1 l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 t l)) (cbrt.f64 (/.f64 t l))) (.f64 (cbrt.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))))
	19.5b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t (.f64 t (.f64 (/.f64 t l) (sin.f64 k)))) (.f64 l 1)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.9b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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))))) (cbrt.f64 (.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))))))
	39.8b	(/.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)))))
	28.1b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))))) l))
	14.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (.f64 (cbrt.f64 (/.f64 t l)) (cbrt.f64 (/.f64 t l))) (*.f64 (cbrt.f64 (/.f64 t l)) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 1) (.f64 (/.f64 (cbrt.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))))
▶	14.5b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	36.9b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	14.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.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)))))

Compiler

Compiled 17030 to 7908 computations (53.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (*.f64 t (sin.f64 k)) l)
✓	1.8b	(.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)))
✓	3.2b	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
✓	12.1b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series470.0ms (2.7%)

Counts

4 → 112

Calls

4 calls:

212.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
141.0ms	(.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)))
94.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
23.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

rewrite108.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

125×	`add-cbrt-cube_binary64`
125×	`add-exp-log_binary64`
72×	`cbrt-unprod_binary64`
72×	`prod-exp_binary64`
41×	`associate-*r/_binary64`

Counts

4 → 170

Calls

4 calls:

54.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.0ms	(.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k)))
7.0ms	(.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))
4.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

simplify230.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
620×	`distribute-rgt-in_binary64`
479×	`*-commutative_binary64`
307×	`associate-*l/_binary64`
229×	`associate-/l*_binary64`

Counts

282 → 285

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	9846
1	1204	8164
2	3568	8124
3	4916	8124
4	5209	8124

prune640.0ms (3.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	277	8	285
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	283	15	298

Error

8.3b

Counts

298 → 15

Alt Table

Status	Error	Program
	43.4b	(/.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) l) (tan.f64 k)))) (sqrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) l) (tan.f64 k))))))
	40.4b	(/.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))))))))
	39.8b	(/.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)))))
	14.1b	(/.f64 2 (.f64 (/.f64 t l) (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	14.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t 1) (.f64 (.f64 (cbrt.f64 (/.f64 t l)) (cbrt.f64 (/.f64 t l))) (*.f64 (cbrt.f64 (/.f64 t l)) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.5b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (.f64 (.f64 t (sin.f64 k)) (/.f64 1 l))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.7b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	36.9b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	21.9b	(/.f64 2 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))
	14.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 1) (.f64 (/.f64 (cbrt.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))))
	37.5b	(/.f64 2 (.f64 (.f64 (/.f64 (sqrt.f64 t) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 l)) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.4b	(/.f64 2 (/.f64 (.f64 (.f64 t (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (sin.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 l (cos.f64 k))))
	15.4b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 1) (.f64 (/.f64 (cbrt.f64 t) l) (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.3b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 1 l) (.f64 (/.f64 t 1) (.f64 (/.f64 t l) (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (cbrt.f64 (pow.f64 (.f64 (.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) 3))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 11008 to 4296 computations (61% saved)

regimes3.7s (21.3%)

Accuracy

Total 4.2b remaining (36.2%)

Threshold costs 0b (0%)

Counts

381 → 3

Compiler

Compiled 81910 to 54627 computations (33.3% saved)

bsearch256.0ms (1.5%)

Steps

Iters	Range		Point
10	4.84226180488804e-150	2.554467434815672e-137	3.889113154566088e-138
9	-9.62716398046214e-157	-6.406971387976746e-162	-9.529228915736491e-157

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`/-rgt-identity_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	124
1	63	124
2	62	124

end1.0ms (0%)

Compiler: Compiled 84 to 52 computations (38.1% saved)

sample4.7s (27%)

Algorithm

1×

intervals

Results

2.1s	2638×	body	1024	valid
623.0ms	3597×	body	128	valid
578.0ms	1176×	body	512	valid
237.0ms	1452×	body	128	invalid
203.0ms	587×	body	256	valid
58.0ms	127×	body	512	invalid
43.0ms	56×	body	1024	invalid
36.0ms	106×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 707 to 445 computations (37.1% saved)

Details

analyze2.8s (15.9%)

sample191.0ms (1.1%)

simplify56.0ms (0.3%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series461.0ms (2.7%)

rewrite56.0ms (0.3%)

simplify212.0ms (1.2%)

prune375.0ms (2.2%)

localize18.0ms (0.1%)

series375.0ms (2.2%)

rewrite75.0ms (0.4%)

simplify238.0ms (1.4%)

prune498.0ms (2.9%)

localize20.0ms (0.1%)

series464.0ms (2.7%)

rewrite125.0ms (0.7%)

simplify386.0ms (2.2%)

prune902.0ms (5.2%)

localize18.0ms (0.1%)

series470.0ms (2.7%)

rewrite108.0ms (0.6%)

simplify230.0ms (1.3%)

prune640.0ms (3.7%)

regimes3.7s (21.3%)

bsearch256.0ms (1.5%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.7s (27%)

Profiling