Details

analyze5.1s (18.8%)

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)

sample262.0ms (1%)

Algorithm

1×

intervals

Results

132.0ms	90×	body	1024	valid
42.0ms	43×	body	512	valid
34.0ms	108×	body	128	valid
13.0ms	41×	body	128	invalid
10.0ms	15×	body	256	valid
5.0ms	5×	body	512	invalid
4.0ms	5×	body	256	invalid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify84.0ms (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`
371×	`distribute-rgt-out_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	178	35
3	866	35
4	3022	35
5	4621	35
6	4981	35
7	4935	35

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

33.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.5b	(/.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 78 to 57 computations (26.9% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
4.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
11.5b	(.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)))
18.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite487.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

19.7b

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 → 159

Calls

4 calls:

39.0ms	(.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)))
18.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
17.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
11.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 4442 to 2333 computations (47.5% saved)

series548.0ms (2%)

Error

25.8b

Counts

4 → 40

Calls

4 calls:

261.0ms	(.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)))
124.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
85.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
46.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2509 to 1907 computations (24% saved)

simplify287.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

542×	`associate-l_binary64`
469×	`unswap-sqr_binary64`
391×	`associate-r_binary64`
257×	`log-prod_binary64`
224×	`*-commutative_binary64`

Counts

199 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	5193
1	698	4429
2	3171	4308
3	4768	4308
4	4996	4308

prune203.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	151	9	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	9	161

Error

15.0b

Counts

161 → 9

Alt Table

Status	Error	Program
	22.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.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))))
	26.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 t 3)) l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	22.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.5b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	35.1b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
	43.1b	(/.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))))
	43.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 t)) l) (/.f64 (.f64 t (sqrt.f64 t)) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 2530 to 1448 computations (42.8% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
5.1b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
9.4b	(/.f64 (*.f64 t t) l)
11.5b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite509.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

Rules

113×	`add-cbrt-cube_binary64`
113×	`add-exp-log_binary64`
65×	`cbrt-unprod_binary64`
65×	`prod-exp_binary64`
34×	`frac-times_binary64`

Counts

4 → 151

Calls

4 calls:

37.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
22.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
13.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
6.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5449 to 1804 computations (66.9% saved)

series514.0ms (1.9%)

Error

15.0b

Counts

4 → 41

Calls

4 calls:

246.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
129.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
76.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
33.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 2682 to 1973 computations (26.4% saved)

simplify295.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-r_binary64`
498×	`distribute-lft-in_binary64`
487×	`distribute-rgt-in_binary64`
319×	`*-commutative_binary64`
186×	`associate-*l/_binary64`

Counts

192 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	6463
1	908	4770
2	3128	4676
3	4875	4676
4	4951	4676

prune228.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	151	8	159
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	155	13	168

Error

9.7b

Counts

168 → 13

Alt Table

Status	Error	Program
	54.9b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	53.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (+.f64 (-.f64 (/.f64 (.f64 k (.f64 t t)) l) (.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l))) (.f64 1/120 (/.f64 (.f64 (*.f64 t t) (pow.f64 k 5)) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (*.f64 t (/.f64 t l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.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))))
	22.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	29.5b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	27.9b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l))) l))
	35.1b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
▶	15.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 (/.f64 t (sqrt.f64 l)) t) (sqrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t (sqrt.f64 t)) l) (/.f64 (.f64 t (sqrt.f64 t)) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 2812 to 1568 computations (44.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
0.9b	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))
2.7b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
11.5b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite844.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

215×	`add-cbrt-cube_binary64`
215×	`add-exp-log_binary64`
129×	`cbrt-unprod_binary64`
129×	`prod-exp_binary64`
63×	`frac-times_binary64`

Counts

4 → 211

Calls

4 calls:

43.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
38.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
24.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
12.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))

Compiler

Compiled 8347 to 2744 computations (67.1% saved)

series725.0ms (2.7%)

Error

9.6b

Counts

4 → 45

Calls

4 calls:

286.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
198.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
134.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
75.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))

Compiler

Compiled 3036 to 2261 computations (25.5% saved)

simplify467.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

499×	`distribute-rgt-in_binary64`
483×	`distribute-lft-in_binary64`
429×	`*-commutative_binary64`
341×	`associate-/r*_binary64`
205×	`associate-/l*_binary64`

Counts

256 → 238

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	10746
1	1090	8084
2	3282	8034
3	4721	8034
4	4958	8034

prune437.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	229	9	238
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	237	14	251

Error

7.3b

Counts

251 → 14

Alt Table

Status	Error	Program
	15.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t (sin.f64 k)) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.9b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	54.9b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	53.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (+.f64 (-.f64 (/.f64 (.f64 k (.f64 t t)) l) (.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l))) (.f64 1/120 (/.f64 (.f64 (*.f64 t t) (pow.f64 k 5)) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (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)))))
	15.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	29.5b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	27.9b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l))) l))
	15.0b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k)) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.1b	(/.f64 2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))) (tan.f64 k))) (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))) (tan.f64 k)))) (cbrt.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	21.8b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))))) l)
▶	13.7b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 4325 to 1971 computations (54.4% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))
1.5b	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
2.0b	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
11.5b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite637.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

160×	`add-cbrt-cube_binary64`
160×	`add-exp-log_binary64`
98×	`cbrt-unprod_binary64`
98×	`prod-exp_binary64`
52×	`pow1_binary64`

Counts

4 → 187

Calls

4 calls:

41.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
25.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
17.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
13.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 6717 to 2067 computations (69.2% saved)

series369.0ms (1.4%)

Error

7.3b

Counts

4 → 45

Calls

4 calls:

159.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
72.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
71.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
44.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 2973 to 2189 computations (26.4% saved)

simplify205.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

636×	`distribute-rgt-in_binary64`
624×	`distribute-lft-in_binary64`
516×	`*-commutative_binary64`
270×	`associate-*l/_binary64`
165×	`associate-/l*_binary64`

Counts

232 → 219

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	8206
1	1051	5995
2	2878	5971
3	4358	5965
4	5067	5965

prune236.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	220	13	233

Error

7.3b

Counts

233 → 13

Alt Table

Status	Error	Program
	41.1b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 1 (sqrt.f64 l)) (.f64 (.f64 t (sin.f64 k)) (/.f64 t (sqrt.f64 l)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (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)))))
	15.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	18.4b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t (cbrt.f64 l)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	29.5b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	13.7b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	14.9b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) (/.f64 2 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.8b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))))) l)
	34.1b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (+.f64 (/.f64 (.f64 (.f64 k k) (.f64 t t)) l) (.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 4)) l)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.0b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k)) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.4b	(/.f64 2 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) (/.f64 l (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 3517 to 1651 computations (53.1% saved)

regimes6.7s (24.6%)

Accuracy

Total 4.3b remaining (36.1%)

Threshold costs 0b (0%)

Compiler

Compiled 76402 to 49646 computations (35% saved)

bsearch457.0ms (1.7%)

Steps

Iters	Range		Point
11	8.624710463180887e-174	1.2783078444421344e-139	9.208186249841077e-142
8	-3.1807567825242186e-52	-1.386731653280977e-55	-1.3838094519414564e-52

Compiler

Compiled 4 to 3 computations (25% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	134
1	67	134
2	71	134
3	73	134
4	74	134
5	73	134

end3.0ms (0%)

Compiler: Compiled 91 to 54 computations (40.7% saved)

sample7.4s (27.3%)

Algorithm

1×

intervals

Results

3.1s	2684×	body	1024	valid
1.0s	1292×	body	512	valid
974.0ms	3448×	body	128	valid
373.0ms	1469×	body	128	invalid
363.0ms	565×	body	256	valid
118.0ms	151×	body	512	invalid
93.0ms	108×	body	256	invalid
62.0ms	51×	body	1024	invalid
22.0ms	11×	body	2048	valid

Compiler

Compiled 527 to 350 computations (33.6% saved)

Details

analyze5.1s (18.8%)

sample262.0ms (1%)

simplify84.0ms (0.3%)

prune7.0ms (0%)

localize34.0ms (0.1%)

rewrite487.0ms (1.8%)

series548.0ms (2%)

simplify287.0ms (1.1%)

prune203.0ms (0.7%)

localize34.0ms (0.1%)

rewrite509.0ms (1.9%)

series514.0ms (1.9%)

simplify295.0ms (1.1%)

prune228.0ms (0.8%)

localize33.0ms (0.1%)

rewrite844.0ms (3.1%)

series725.0ms (2.7%)

simplify467.0ms (1.7%)

prune437.0ms (1.6%)

localize33.0ms (0.1%)

rewrite637.0ms (2.3%)

series369.0ms (1.4%)

simplify205.0ms (0.8%)

prune236.0ms (0.9%)

regimes6.7s (24.6%)

bsearch457.0ms (1.7%)

simplify20.0ms (0.1%)

end3.0ms (0%)

sample7.4s (27.3%)

Profiling