Details

analyze2.6s (19.9%)

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)

sample5.0s (37.8%)

Results

2.5s	2751×	body	1024	valid
821.0ms	3592×	body	128	valid
791.0ms	1277×	body	512	valid
346.0ms	1469×	body	128	invalid
273.0ms	631×	body	256	valid
87.0ms	151×	body	512	invalid
57.0ms	63×	body	1024	invalid
49.0ms	123×	body	256	invalid
7.0ms	5×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify25.0ms (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

26.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	29.8b	(/.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)))
▶	27.2b	(.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))

Status

Error

Program

29.8b

(/.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)))

▶

27.2b

(*.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))

Compiler

Compiled 159 to 114 computations (28.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(*.f64 (pow.f64 t 3) (sin.f64 k))
✓	5.0b	(.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))
✓	6.7b	(.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)
✓	15.6b	(/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series500.0ms (3.8%)

Counts

4 → 100

Calls

4 calls:

226.0ms	(.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)
212.0ms	(.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))
49.0ms	(/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
12.0ms	(*.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:

37.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))
37.0ms	(.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))
37.0ms	(.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)
37.0ms	(/.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

prune283.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	170	13	183
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	171	14	185

Error

9.6b

Counts

185 → 14

Alt Table

Status	Error	Program
	29.8b	(/.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)))
	25.6b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	31.2b	(.f64 l (expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (*.f64 (tan.f64 k) (sin.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))))
	30.5b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
	22.8b	(.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))
	27.0b	(.f64 l (.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 (pow.f64 t 3) (sin.f64 k))))) l))
	35.9b	(.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)))
	28.3b	(.f64 l (.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	55.9b	(.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))
	25.7b	(.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))
	31.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	24.8b	(.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)))))
▶	21.8b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	29.8b	(.f64 l (.f64 (/.f64 (cos.f64 k) (pow.f64 t 3)) (.f64 (/.f64 (/.f64 l (pow.f64 (sin.f64 k) 2)) (+.f64 2 (.f64 (/.f64 k t) (/.f64 k t)))) 2)))

Compiler

Compiled 7622 to 4676 computations (38.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.9b	(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
✓	5.0b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
✓	7.0b	(/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	7.8b	(*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

series538.0ms (4.1%)

Counts

4 → 120

Calls

4 calls:

244.0ms	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
220.0ms	(/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
39.0ms	(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
34.0ms	(*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

209×	`add-sqr-sqrt_binary64`
197×	`log1p-expm1-u_binary64`
197×	`expm1-log1p-u_binary64`
194×	`add-cbrt-cube_binary64`
194×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	129
1	430	129

Stop Event

1×	node limit

Counts

4 → 95

Calls

4 calls:

40.0ms	(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
40.0ms	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
40.0ms	(/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
40.0ms	(*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

434×	`times-frac_binary64`
316×	`associate-/l*_binary64`
283×	`associate-/r*_binary64`
255×	`associate-r_binary64`
230×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	269	5518
1	991	5451
2	4580	5451

Stop Event

1×	node limit

Counts

215 → 173

prune320.0ms (2.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	166	7	173
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	171	16	187

Error

9.6b

Counts

187 → 16

Alt Table

Status	Error	Program
	49.7b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) (sqrt.f64 (cos.f64 k)))) 2) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	22.8b	(.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))
	29.8b	(/.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)))
	25.6b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	37.9b	(.f64 l (.f64 2 (.f64 1/2 (.f64 (/.f64 l (pow.f64 t 3)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))))
	31.2b	(.f64 l (expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (*.f64 (tan.f64 k) (sin.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))))
	30.5b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
	29.3b	(.f64 l (.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	24.8b	(.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)))))
	21.8b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (pow.f64 (cos.f64 k) 2))) (cbrt.f64 (cos.f64 k)))))))
	29.8b	(.f64 l (.f64 (/.f64 (cos.f64 k) (pow.f64 t 3)) (.f64 (/.f64 (/.f64 l (pow.f64 (sin.f64 k) 2)) (+.f64 2 (.f64 (/.f64 k t) (/.f64 k t)))) 2)))
	21.8b	(/.f64 (.f64 l 2) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))) l))
	20.4b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (/.f64 t (cbrt.f64 (cos.f64 k)))) 3) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	28.3b	(.f64 l (.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	25.7b	(.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))
▶	19.2b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))))

Compiler

Compiled 8263 to 4872 computations (41% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.0b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))))
✓	7.0b	(/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))
	7.8b	(*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

series535.0ms (4%)

Counts

3 → 76

Calls

3 calls:

269.0ms

(*.f64 l (*.f64 2 (/.f64 l (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))))

252.0ms

(/.f64 l (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))

13.0ms

(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite39.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

216×	`add-sqr-sqrt_binary64`
203×	`log1p-expm1-u_binary64`
203×	`expm1-log1p-u_binary64`
200×	`add-cbrt-cube_binary64`
200×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	101
1	438	101

Stop Event

1×	node limit

Counts

3 → 56

Calls

3 calls:

37.0ms

(*.f64 t (pow.f64 (sin.f64 k) 2))

37.0ms

(*.f64 l (*.f64 2 (/.f64 l (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))))

37.0ms

(/.f64 l (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

434×	`times-frac_binary64`
316×	`associate-/l*_binary64`
283×	`associate-/r*_binary64`
268×	`fma-neg_binary64`
227×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	256	4666
1	949	4608
2	4404	4608

Stop Event

1×	node limit

Counts

132 → 124

prune340.0ms (2.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	3	12	15
Picked	0	1	1
Done	0	0	0
Total	155	18	173

Error

9.0b

Counts

173 → 18

Alt Table

Status	Error	Program
	49.7b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) (sqrt.f64 (cos.f64 k)))) 2) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	22.8b	(.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))
	29.8b	(/.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)))
	19.3b	(pow.f64 (cbrt.f64 (.f64 l (/.f64 (.f64 2 l) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (.f64 t (pow.f64 (sin.f64 k) 2)))))))) 3)
▶	19.2b	(.f64 l (.f64 2 (pow.f64 (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (.f64 t (pow.f64 (sin.f64 k) 2))))) l) -1)))
	28.3b	(.f64 l (.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	37.9b	(.f64 l (.f64 2 (.f64 1/2 (.f64 (/.f64 l (pow.f64 t 3)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))))
	31.2b	(.f64 l (expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (*.f64 (tan.f64 k) (sin.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))))
	30.5b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
	29.3b	(.f64 l (.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	24.8b	(.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)))))
	29.8b	(.f64 l (.f64 (/.f64 (cos.f64 k) (pow.f64 t 3)) (.f64 (/.f64 (/.f64 l (pow.f64 (sin.f64 k) 2)) (+.f64 2 (.f64 (/.f64 k t) (/.f64 k t)))) 2)))
	21.8b	(.f64 2 (/.f64 l (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 t (.f64 (pow.f64 (sin.f64 k) 2) (*.f64 k k))) (cos.f64 k))) l)))
	20.4b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (/.f64 t (cbrt.f64 (cos.f64 k)))) 3) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	19.3b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k (pow.f64 (cbrt.f64 (*.f64 t (pow.f64 (sin.f64 k) 2))) 3)) (/.f64 (cos.f64 k) k))))))
	25.7b	(.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))
✓	19.2b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))))
	29.9b	(/.f64 (*.f64 (/.f64 l k) (/.f64 l k)) (pow.f64 t 3))

Compiler

Compiled 7871 to 4757 computations (39.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.0b	(.f64 l (.f64 2 (pow.f64 (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (.f64 t (pow.f64 (sin.f64 k) 2))))) l) -1)))
✓	7.2b	(/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (.f64 t (pow.f64 (sin.f64 k) 2))))) l)
	7.8b	(*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

series388.0ms (2.9%)

Counts

2 → 72

Calls

2 calls:

251.0ms

(*.f64 l (*.f64 2 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (*.f64 t (pow.f64 (sin.f64 k) 2))))) l) -1)))

136.0ms

(/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (*.f64 t (pow.f64 (sin.f64 k) 2))))) l)

rewrite33.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`add-sqr-sqrt_binary64`
222×	`log1p-expm1-u_binary64`
222×	`expm1-log1p-u_binary64`
219×	`add-cbrt-cube_binary64`
218×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	482	95

Stop Event

1×	node limit

Counts

2 → 34

Calls

2 calls:

32.0ms

(*.f64 l (*.f64 2 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (*.f64 t (pow.f64 (sin.f64 k) 2))))) l) -1)))

32.0ms

(/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (/.f64 (cos.f64 k) k) (*.f64 t (pow.f64 (sin.f64 k) 2))))) l)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-/r/_binary64`
489×	`fma-def_binary64`
257×	`times-frac_binary64`
247×	`cancel-sign-sub-inv_binary64`
223×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	4017
1	645	3953
2	2965	3742

Stop Event

1×	node limit

Counts

106 → 81

prune279.0ms (2.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	3	13	16
Picked	1	0	1
Done	0	1	1
Total	138	17	155

Error

4.7b

Counts

155 → 17

Alt Table

Status	Error	Program
	49.7b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) (sqrt.f64 (cos.f64 k)))) 2) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	22.8b	(.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))
	20.4b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (/.f64 t (cbrt.f64 (cos.f64 k)))) 3) (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	19.2b	(.f64 l (.f64 2 (pow.f64 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) l) (+.f64 (/.f64 (.f64 k (.f64 k t)) (cos.f64 k)) (.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))) -1)))
	31.2b	(.f64 l (expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (*.f64 (tan.f64 k) (sin.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) l))))
	30.5b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
	29.3b	(.f64 l (.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	24.8b	(.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)))))
	29.8b	(.f64 l (.f64 (/.f64 (cos.f64 k) (pow.f64 t 3)) (.f64 (/.f64 (/.f64 l (pow.f64 (sin.f64 k) 2)) (+.f64 2 (.f64 (/.f64 k t) (/.f64 k t)))) 2)))
	21.8b	(.f64 2 (/.f64 l (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 t (.f64 (pow.f64 (sin.f64 k) 2) (*.f64 k k))) (cos.f64 k))) l)))
	22.6b	(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (/.f64 l k) (/.f64 l k))))
	29.8b	(/.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)))
	28.3b	(.f64 l (.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	25.7b	(.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))
✓	19.2b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 (cos.f64 k) k))))))
	29.2b	(.f64 l (.f64 2 (pow.f64 (.f64 (/.f64 k (/.f64 (cos.f64 k) k)) (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) l) t)) -1)))
	29.9b	(/.f64 (*.f64 (/.f64 l k) (/.f64 l k)) (pow.f64 t 3))

Compiler

Compiled 6175 to 3777 computations (38.8% saved)

regimes1.1s (8.4%)

Accuracy

Total 4.8b remaining (45.2%)

Threshold costs 0b (0%)

Counts

89 → 5

Compiler

Compiled 15580 to 10819 computations (30.6% saved)

bsearch406.0ms (3.1%)

Steps

Iters	Range		Point
9	9.027560050607775e+167	8.545226057923547e+173	1.0263256556160368e+168
7	2.348106643548215e-127	1.8749401652037987e-125	2.0017578071786073e-126
9	-6.552041474174153e-149	-6.807795266080869e-157	-3.4259494167646637e-155
9	-1.5520439699545522e+144	-1.1426470106801867e+136	-2.9383629478653325e+139

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	235
1	87	235

Stop Event

1×

saturated

end354.0ms (2.7%)

Compiler: Compiled 788 to 511 computations (35.2% saved)

Details

analyze2.6s (19.9%)

sample5.0s (37.8%)

simplify25.0ms (0.2%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series500.0ms (3.8%)

rewrite40.0ms (0.3%)

simplify65.0ms (0.5%)

prune283.0ms (2.1%)

localize18.0ms (0.1%)

series538.0ms (4.1%)

rewrite42.0ms (0.3%)

simplify87.0ms (0.7%)

prune320.0ms (2.4%)

localize22.0ms (0.2%)

series535.0ms (4%)

rewrite39.0ms (0.3%)

simplify76.0ms (0.6%)

prune340.0ms (2.6%)

localize20.0ms (0.2%)

series388.0ms (2.9%)

rewrite33.0ms (0.3%)

simplify64.0ms (0.5%)

prune279.0ms (2.1%)

regimes1.1s (8.4%)

bsearch406.0ms (3.1%)

simplify4.0ms (0%)

end354.0ms (2.7%)

Profiling