Details

analyze2.9s (20.7%)

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)

sample5.4s (38.6%)

Results

2.8s	2898×	body	1024	valid
842.0ms	3513×	body	128	valid
801.0ms	1233×	body	512	valid
362.0ms	1515×	body	128	invalid
278.0ms	604×	body	256	valid
89.0ms	137×	body	512	invalid
59.0ms	60×	body	1024	invalid
57.0ms	120×	body	256	invalid
12.0ms	8×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

428×	`associate-/r/_binary64`
398×	`associate-/r*_binary64`
395×	`fma-def_binary64`
380×	`distribute-rgt-out_binary64`
325×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	55	35
2	193	35
3	1146	35
4	4817	35

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

26.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	27.9b	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	30.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Status

Error

Program

▶

27.9b

(*.f64 l (*.f64 (/.f64 (/.f64 2 (*.f64 (pow.f64 t 3) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))

30.4b

(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 159 to 114 computations (28.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(*.f64 (pow.f64 t 3) (sin.f64 k))
✓	5.6b	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
✓	7.3b	(.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l)
✓	17.3b	(/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series505.0ms (3.6%)

Counts

4 → 100

Calls

4 calls:

230.0ms	(.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l)
210.0ms	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
50.0ms	(/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
14.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

201×	`add-sqr-sqrt_binary64`
191×	`log1p-expm1-u_binary64`
191×	`expm1-log1p-u_binary64`
188×	`add-cbrt-cube_binary64`
187×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	105
1	408	105

Stop Event

1×	node limit

Counts

4 → 93

Calls

4 calls:

38.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))
38.0ms	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
38.0ms	(.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l)
38.0ms	(/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

521×	`times-frac_binary64`
379×	`associate-/l*_binary64`
372×	`associate-/r*_binary64`
286×	`associate-r_binary64`
236×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	334	6037
1	1253	5945

Stop Event

1×	node limit

Counts

193 → 183

prune285.0ms (2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	171	12	183
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	171	14	185

Error

10.8b

Counts

185 → 14

Alt Table

Status	Error	Program
	31.3b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) 2))) l))
✓	27.9b	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	55.1b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 (sqrt.f64 (sin.f64 k)) (pow.f64 t 3/2)) 2)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	28.4b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	26.8b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	30.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	31.0b	(.f64 l (.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))) l))
	32.9b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
	24.3b	(.f64 l (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (tan.f64 k))) l))
▶	24.3b	(.f64 l (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k)) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	35.8b	(.f64 l (fma.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 (.f64 t l) (pow.f64 (sin.f64 k) 2))) -4)))
	26.8b	(.f64 l (/.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (sin.f64 k)) l) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	27.0b	(.f64 l (/.f64 1 (/.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (sin.f64 k)) l))))
	35.1b	(.f64 l (.f64 (fma.f64 2 (/.f64 (cos.f64 k) (.f64 t (.f64 (pow.f64 (sin.f64 k) 2) (.f64 k k)))) (.f64 (*.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 t (pow.f64 (sin.f64 k) 2))) -4)) l))

Compiler

Compiled 7610 to 4661 computations (38.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k))
✓	5.6b	(.f64 l (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k)) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
✓	7.3b	(.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k)) (/.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l)
✓	11.1b	(.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k)) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series735.0ms (5.3%)

Counts

4 → 116

Calls

4 calls:

248.0ms	(.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k)) (/.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l)
218.0ms	(.f64 l (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k)) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
205.0ms	(/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k))
62.0ms	(.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (tan.f64 k)) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

220×	`add-sqr-sqrt_binary64`
207×	`log1p-expm1-u_binary64`
207×	`expm1-log1p-u_binary64`
206×	`add-cbrt-cube_binary64`
205×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	174
1	444	129

Stop Event

1×	node limit

Counts

4 → 100

Calls

4 calls:

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

517×	`times-frac_binary64`
377×	`associate-/l*_binary64`
374×	`associate-/r*_binary64`
240×	`associate-r_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	320	6525
1	1188	6453

Stop Event

1×	node limit

Counts

216 → 189

prune384.0ms (2.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	178	11	189
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	181	22	203

Error

6.7b

Counts

203 → 22

Alt Table

Status	Error	Program
	23.8b	(.f64 l (.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 (tan.f64 k)) 2)) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (tan.f64 k)))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
✓	27.9b	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	23.8b	(.f64 l (.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) 1) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (tan.f64 k))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	31.0b	(.f64 l (.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))) l))
	35.8b	(.f64 l (fma.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 (.f64 t l) (pow.f64 (sin.f64 k) 2))) -4)))
	31.3b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) t)) l))
▶	14.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
	55.1b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 (sqrt.f64 (sin.f64 k)) (pow.f64 t 3/2)) 2)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	28.4b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	26.8b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	44.7b	(.f64 l (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) 2) (/.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	30.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	27.0b	(.f64 l (/.f64 1 (/.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (*.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (sin.f64 k)) l))))
	48.0b	(.f64 l (.f64 (.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) 4)) (sqrt.f64 (tan.f64 k))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k)))) 2) (sqrt.f64 (tan.f64 k)))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	19.1b	(.f64 l (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3) l))
	32.9b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
	24.3b	(.f64 l (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (tan.f64 k))) l))
	37.6b	(fma.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) t) (.f64 (/.f64 l k) (/.f64 l k))) (.f64 (/.f64 (.f64 t (.f64 l l)) (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 k 4)) (cos.f64 k))) -4))
	30.1b	(.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l))))
	28.4b	(.f64 l (.f64 2 (.f64 (/.f64 l (.f64 k (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
	24.3b	(.f64 l (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) 2) (tan.f64 k))) 3) (/.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	35.1b	(.f64 l (.f64 (fma.f64 2 (/.f64 (cos.f64 k) (.f64 t (.f64 (pow.f64 (sin.f64 k) 2) (.f64 k k)))) (.f64 (*.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 t (pow.f64 (sin.f64 k) 2))) -4)) l))

Compiler

Compiled 9049 to 5556 computations (38.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 2)
✓	2.8b	(/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
✓	5.6b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
✓	15.4b	(cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series408.0ms (2.9%)

Counts

4 → 52

Calls

4 calls:

252.0ms	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
123.0ms	(/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
32.0ms	(cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
0.0ms	(cbrt.f64 2)

rewrite35.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

231×	`add-sqr-sqrt_binary64`
219×	`add-cbrt-cube_binary64`
219×	`log1p-expm1-u_binary64`
219×	`expm1-log1p-u_binary64`
216×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	481	89

Stop Event

1×	node limit

Counts

4 → 70

Calls

4 calls:

34.0ms	(cbrt.f64 2)
34.0ms	(/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
34.0ms	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
34.0ms	(cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
307×	`times-frac_binary64`
263×	`unswap-sqr_binary64`
231×	`associate-r_binary64`
230×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	3655
1	854	3429
2	3897	3375

Stop Event

1×	node limit

Counts

122 → 119

prune285.0ms (2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	7	13	20
Picked	0	1	1
Done	0	1	1
Total	120	21	141

Error

3.2b

Counts

141 → 21

Alt Table

Status	Error	Program
▶	13.9b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
✓	27.9b	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	28.4b	(.f64 l (.f64 2 (.f64 (/.f64 l (.f64 k (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
	22.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k))))) 2) (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k))))))) 3))
	35.8b	(.f64 l (fma.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 (.f64 t l) (pow.f64 (sin.f64 k) 2))) -4)))
	31.3b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) t)) l))
✓	14.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
	55.1b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 (sqrt.f64 (sin.f64 k)) (pow.f64 t 3/2)) 2)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	28.4b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	26.8b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	44.7b	(.f64 l (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) 2) (/.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	30.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	24.3b	(.f64 l (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) 2) (tan.f64 k))) 3) (/.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	17.8b	(pow.f64 (.f64 (cbrt.f64 l) (.f64 (cbrt.f64 l) (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k)))))) 3)
	48.0b	(.f64 l (.f64 (.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) 4)) (sqrt.f64 (tan.f64 k))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k)))) 2) (sqrt.f64 (tan.f64 k)))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	14.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (*.f64 (cbrt.f64 (tan.f64 k)) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
	29.5b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 (/.f64 l t) (/.f64 l (pow.f64 (sin.f64 k) 2)))))
	24.3b	(.f64 l (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (tan.f64 k))) l))
	37.6b	(fma.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) t) (.f64 (/.f64 l k) (/.f64 l k))) (.f64 (/.f64 (.f64 t (.f64 l l)) (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 k 4)) (cos.f64 k))) -4))
	21.9b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (.f64 1 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k)))))) 3))
	35.1b	(.f64 l (.f64 (fma.f64 2 (/.f64 (cos.f64 k) (.f64 t (.f64 (pow.f64 (sin.f64 k) 2) (.f64 k k)))) (.f64 (*.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 t (pow.f64 (sin.f64 k) 2))) -4)) l))

Compiler

Compiled 6258 to 4030 computations (35.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(cbrt.f64 l)
✓	2.8b	(/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
✓	5.6b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
	15.4b	(cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series336.0ms (2.4%)

Counts

3 → 44

Calls

3 calls:

250.0ms

(*.f64 l (pow.f64 (*.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))

77.0ms

(/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))

9.0ms

(cbrt.f64 l)

rewrite34.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

241×	`add-sqr-sqrt_binary64`
230×	`log1p-expm1-u_binary64`
230×	`expm1-log1p-u_binary64`
229×	`add-cbrt-cube_binary64`
226×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	507	72

Stop Event

1×	node limit

Counts

3 → 52

Calls

3 calls:

33.0ms

(cbrt.f64 l)

33.0ms

(/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))

33.0ms

(*.f64 l (pow.f64 (*.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

486×	`fma-def_binary64`
311×	`cancel-sign-sub-inv_binary64`
253×	`times-frac_binary64`
173×	`associate-/r*_binary64`
173×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2837
1	611	2689
2	2883	2517

Stop Event

1×	node limit

Counts

96 → 93

prune285.0ms (2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	17	18
Picked	1	0	1
Done	0	2	2
Total	122	21	143

Error

3.2b

Counts

143 → 21

Alt Table

Status	Error	Program
✓	27.9b	(.f64 l (.f64 (/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	14.1b	(.f64 l (pow.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l))) (/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
	28.4b	(.f64 l (.f64 2 (.f64 (/.f64 l (.f64 k (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
	22.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k))))) 2) (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k))))))) 3))
	35.8b	(.f64 l (fma.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 (.f64 t l) (pow.f64 (sin.f64 k) 2))) -4)))
	31.3b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) t)) l))
✓	14.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
	55.1b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 (sqrt.f64 (sin.f64 k)) (pow.f64 t 3/2)) 2)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	28.4b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	26.8b	(.f64 l (.f64 (/.f64 (/.f64 2 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	30.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	24.3b	(.f64 l (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) 2) (tan.f64 k))) 3) (/.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	17.8b	(pow.f64 (.f64 (cbrt.f64 l) (.f64 (cbrt.f64 l) (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k)))))) 3)
	48.0b	(.f64 l (.f64 (.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) 4)) (sqrt.f64 (tan.f64 k))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k)))) 2) (sqrt.f64 (tan.f64 k)))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) l))
	14.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (sin.f64 k))) (*.f64 (cbrt.f64 (tan.f64 k)) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 3))
	29.5b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 (/.f64 l t) (/.f64 l (pow.f64 (sin.f64 k) 2)))))
	24.3b	(.f64 l (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 t (cbrt.f64 (sin.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (/.f64 (/.f64 (cbrt.f64 2) (*.f64 t (cbrt.f64 (sin.f64 k)))) (tan.f64 k))) l))
	37.6b	(fma.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) t) (.f64 (/.f64 l k) (/.f64 l k))) (.f64 (/.f64 (.f64 t (.f64 l l)) (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 k 4)) (cos.f64 k))) -4))
	21.9b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (.f64 1 (/.f64 (/.f64 (cbrt.f64 2) t) (cbrt.f64 (.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (sin.f64 k)))))) 3))
	14.0b	(.f64 l (pow.f64 (.f64 (cbrt.f64 l) (/.f64 (/.f64 (/.f64 (pow.f64 2 1/3) t) (cbrt.f64 (sin.f64 k))) (*.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (cbrt.f64 (tan.f64 k))))) 3))
	35.1b	(.f64 l (.f64 (fma.f64 2 (/.f64 (cos.f64 k) (.f64 t (.f64 (pow.f64 (sin.f64 k) 2) (.f64 k k)))) (.f64 (*.f64 (/.f64 (cos.f64 k) (pow.f64 k 4)) (/.f64 t (pow.f64 (sin.f64 k) 2))) -4)) l))

Compiler

Compiled 5463 to 3429 computations (37.2% saved)

regimes1.2s (8.9%)

Accuracy

Total 5.9b remaining (62.4%)

Threshold costs 0b (0%)

Counts

108 → 3

Compiler

Compiled 19352 to 14121 computations (27% saved)

bsearch207.0ms (1.5%)

Steps

Iters	Range		Point
7	6.670786755909963e-114	1.2549287309579127e-111	1.230622100118215e-111
8	-1.0463036533748302e-73	-3.7144116844878217e-78	-4.771327412294669e-77

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	4294967295
1	59	4294967295

Stop Event

1×

saturated

end452.0ms (3.2%)

Compiler: Compiled 866 to 605 computations (30.1% saved)

Details

analyze2.9s (20.7%)

sample5.4s (38.6%)

simplify23.0ms (0.2%)

prune5.0ms (0%)

localize22.0ms (0.2%)

series505.0ms (3.6%)

rewrite40.0ms (0.3%)

simplify65.0ms (0.5%)

prune285.0ms (2%)

localize19.0ms (0.1%)

series735.0ms (5.3%)

rewrite49.0ms (0.4%)

simplify70.0ms (0.5%)

prune384.0ms (2.8%)

localize20.0ms (0.1%)

series408.0ms (2.9%)

rewrite35.0ms (0.3%)

simplify69.0ms (0.5%)

prune285.0ms (2%)

localize22.0ms (0.2%)

series336.0ms (2.4%)

rewrite34.0ms (0.2%)

simplify62.0ms (0.4%)

prune285.0ms (2%)

regimes1.2s (8.9%)

bsearch207.0ms (1.5%)

simplify3.0ms (0%)

end452.0ms (3.2%)

Profiling