Details

analyze3.3s (12.8%)

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
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample16.8s (64.9%)

Results

4.6s	1225×	body	4096	invalid
3.8s	4017×	body	1024	valid
2.7s	1072×	body	2048	invalid
1.5s	1033×	body	2048	valid
1.5s	495×	body	4096	valid
896.0ms	1412×	body	512	valid
675.0ms	739×	body	1024	invalid
337.0ms	551×	body	512	invalid
272.0ms	1092×	body	128	invalid
217.0ms	851×	body	128	valid
203.0ms	448×	body	256	valid
139.0ms	316×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

845×	`associate-*l/_binary64`
417×	`associate-/r/_binary64`
388×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`
317×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	180	32
3	1056	32

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

41.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	49.0b	(/.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)))
▶	41.5b	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))

Status

Error

Program

49.0b

(/.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)))

▶

41.5b

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

Compiler

Compiled 153 to 107 computations (30.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))
✓	1.0b	(*.f64 (pow.f64 t 3) (sin.f64 k))
✓	19.4b	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))
✓	29.5b	(.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))

series304.0ms (1.2%)

Counts

4 → 88

Calls

4 calls:

199.0ms	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))
49.0ms	(.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))
44.0ms	(*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))
12.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

309×	`log1p-udef_binary64`
176×	`add-sqr-sqrt_binary64`
167×	`associate-r_binary64`
167×	`log1p-expm1-u_binary64`
167×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	366	76
2	4690	76

Stop Event

1×	node limit

Counts

4 → 78

Calls

4 calls:

64.0ms	(*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))
64.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))
64.0ms	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))
64.0ms	(.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

477×	`associate-l_binary64`
475×	`associate-r_binary64`
471×	`times-frac_binary64`
353×	`fma-def_binary64`
283×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	2200
1	292	2175
2	1057	2127

Stop Event

1×	node limit

Counts

166 → 115

prune146.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	103	12	115
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	12	117

Error

13.9b

Counts

117 → 12

Alt Table

Status	Error	Program
	46.8b	(pow.f64 (.f64 l (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))) 2)
	22.7b	(.f64 (/.f64 2 (.f64 (.f64 (/.f64 k (cos.f64 k)) k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 l l))
	33.1b	(pow.f64 (/.f64 (cbrt.f64 (.f64 2 (.f64 l l))) (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))))) 3)
	22.7b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	30.6b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
▶	20.2b	(.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 k t))) (pow.f64 (sin.f64 k) 2)) (.f64 l (*.f64 l 2)))
	22.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	32.5b	(log.f64 (pow.f64 (pow.f64 (exp.f64 l) l) (/.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))))
	50.4b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t))) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))
	33.5b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (pow.f64 (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))) 2)) (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))))
	41.5b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))
	29.8b	(.f64 2 (/.f64 (.f64 l (/.f64 l t)) (pow.f64 k 4)))

Compiler

Compiled 3453 to 2012 computations (41.7% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 k t))) (pow.f64 (sin.f64 k) 2))
✓	0.3b	(pow.f64 (sin.f64 k) 2)
✓	0.3b	(/.f64 (cos.f64 k) (.f64 k (.f64 k t)))
✓	19.4b	(.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 k t))) (pow.f64 (sin.f64 k) 2)) (.f64 l (*.f64 l 2)))

series267.0ms (1%)

Counts

4 → 88

Calls

4 calls:

158.0ms	(.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 k t))) (pow.f64 (sin.f64 k) 2)) (.f64 l (*.f64 l 2)))
75.0ms	(/.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 k t))) (pow.f64 (sin.f64 k) 2))
29.0ms	(/.f64 (cos.f64 k) (.f64 k (.f64 k t)))
3.0ms	(pow.f64 (sin.f64 k) 2)

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`log1p-udef_binary64`
169×	`associate-r_binary64`
159×	`add-sqr-sqrt_binary64`
148×	`log1p-expm1-u_binary64`
148×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	320	67
2	4456	67

Stop Event

1×	node limit

Counts

4 → 130

Calls

4 calls:

71.0ms	(/.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 k t))) (pow.f64 (sin.f64 k) 2))
71.0ms	(pow.f64 (sin.f64 k) 2)
71.0ms	(/.f64 (cos.f64 k) (.f64 k (.f64 k t)))
71.0ms	(.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 k t))) (pow.f64 (sin.f64 k) 2)) (.f64 l (*.f64 l 2)))

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

558×	`cancel-sign-sub-inv_binary64`
543×	`fma-neg_binary64`
345×	`times-frac_binary64`
223×	`associate-/r*_binary64`
205×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1978
1	241	1966
2	761	1943
3	3509	1939

Stop Event

1×	node limit

Counts

218 → 168

prune247.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	158	10	168
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	165	15	180

Error

8.9b

Counts

180 → 15

Alt Table

Status	Error	Program
	33.1b	(pow.f64 (/.f64 (cbrt.f64 (.f64 2 (.f64 l l))) (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))))) 3)
	22.7b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	33.5b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (pow.f64 (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))) 2)) (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))))
	32.5b	(log.f64 (pow.f64 (pow.f64 (exp.f64 l) (.f64 2 l)) (.f64 (/.f64 (/.f64 (cos.f64 k) (*.f64 k t)) k) (pow.f64 (sin.f64 k) -2))))
	20.1b	(.f64 (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (pow.f64 (sin.f64 k) -2)) (.f64 l (*.f64 l 2)))
	19.8b	(/.f64 (.f64 (cos.f64 k) (.f64 2 (.f64 l l))) (.f64 (.f64 k (.f64 k t)) (pow.f64 (sin.f64 k) 2)))
	20.3b	(.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 k (.f64 k t))) 2)) (/.f64 (cos.f64 k) (cbrt.f64 (.f64 k (.f64 k t))))) (pow.f64 (sin.f64 k) 2)) (.f64 l (.f64 l 2)))
	20.0b	(.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 1 (.f64 k t))) (pow.f64 (sin.f64 k) 2)) (.f64 l (*.f64 l 2)))
	22.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	46.8b	(pow.f64 (.f64 l (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))) 2)
	43.0b	(pow.f64 (.f64 (.f64 l (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 (cos.f64 k)) (*.f64 k (sqrt.f64 t))) (sin.f64 k))) 2)
▶	18.9b	(/.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 k k)) l) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
	28.5b	(.f64 2 (.f64 (/.f64 l t) (/.f64 l (pow.f64 k 4))))
	21.4b	(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (.f64 2 (.f64 l l))) (cbrt.f64 (pow.f64 (sin.f64 k) 4))) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))
	19.5b	(/.f64 1 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (.f64 2 (.f64 l l)))))

Compiler

Compiled 4756 to 2365 computations (50.3% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (/.f64 l (.f64 k k)) l)
✓	6.1b	(.f64 (.f64 (/.f64 l (*.f64 k k)) l) (/.f64 (cos.f64 k) t))
✓	6.2b	(/.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 k k)) l) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
✓	8.0b	(/.f64 l (*.f64 k k))

series285.0ms (1.1%)

Counts

4 → 120

Calls

4 calls:

165.0ms	(/.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 k k)) l) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
73.0ms	(.f64 (.f64 (/.f64 l (*.f64 k k)) l) (/.f64 (cos.f64 k) t))
26.0ms	(.f64 (/.f64 l (.f64 k k)) l)
21.0ms	(/.f64 l (*.f64 k k))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

288×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
152×	`log1p-expm1-u_binary64`
152×	`expm1-log1p-u_binary64`
151×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	326	54
2	4600	54

Stop Event

1×	node limit

Counts

4 → 143

Calls

4 calls:

70.0ms	(.f64 (/.f64 l (.f64 k k)) l)
70.0ms	(.f64 (.f64 (/.f64 l (*.f64 k k)) l) (/.f64 (cos.f64 k) t))
69.0ms	(/.f64 (.f64 (.f64 (.f64 (/.f64 l (.f64 k k)) l) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
69.0ms	(/.f64 l (*.f64 k k))

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

496×	`fma-def_binary64`
416×	`fma-neg_binary64`
359×	`cancel-sign-sub-inv_binary64`
349×	`times-frac_binary64`
231×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	2206
1	155	2200
2	549	2173
3	3024	2169

Stop Event

1×	node limit

Counts

263 → 167

prune349.0ms (1.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	153	14	167
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	159	23	182

Error

0.5b

Counts

182 → 23

Alt Table

Status	Error	Program
	12.5b	(/.f64 (.f64 (/.f64 (.f64 (/.f64 l k) (*.f64 l (/.f64 (cos.f64 k) t))) k) 2) (pow.f64 (sin.f64 k) 2))
	20.3b	(.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 k (.f64 k t))) 2)) (/.f64 (cos.f64 k) (cbrt.f64 (.f64 k (.f64 k t))))) (pow.f64 (sin.f64 k) 2)) (.f64 l (.f64 l 2)))
	14.5b	(/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 l k) (/.f64 1 k)) l) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
	19.8b	(/.f64 (.f64 (/.f64 (.f64 l (.f64 l (/.f64 (cos.f64 k) t))) (.f64 k k)) 2) (pow.f64 (sin.f64 k) 2))
	20.0b	(.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 1 (.f64 k t))) (pow.f64 (sin.f64 k) 2)) (.f64 l (*.f64 l 2)))
	18.7b	(/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (pow.f64 k -2))) l) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
	22.7b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	31.2b	(.f64 (.f64 (/.f64 l k) (sqrt.f64 (.f64 (/.f64 (cos.f64 k) t) 2))) (.f64 (.f64 (/.f64 l k) (sqrt.f64 (.f64 (/.f64 (cos.f64 k) t) 2))) (pow.f64 (sin.f64 k) -2)))
	24.8b	(/.f64 (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) 2) (pow.f64 (sin.f64 k) 2))
	12.6b	(/.f64 (.f64 (/.f64 1 (/.f64 t (.f64 (pow.f64 (/.f64 l k) 2) (cos.f64 k)))) 2) (pow.f64 (sin.f64 k) 2))
	20.3b	(.f64 (cbrt.f64 (.f64 4 (pow.f64 (.f64 (pow.f64 (/.f64 l k) 2) (/.f64 (cos.f64 k) t)) 2))) (.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 l k) 2) (.f64 (/.f64 (cos.f64 k) t) 2))) (pow.f64 (sin.f64 k) -2)))
	15.2b	(/.f64 (.f64 (.f64 (/.f64 (*.f64 (/.f64 l k) l) k) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
	28.5b	(.f64 2 (.f64 (/.f64 l t) (/.f64 l (pow.f64 k 4))))
	30.4b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (/.f64 l k) (sqrt.f64 (.f64 (/.f64 (cos.f64 k) t) 2))) (sin.f64 k)) 2)) 3)
	19.8b	(/.f64 (.f64 (cos.f64 k) (.f64 2 (.f64 l l))) (.f64 (.f64 k (.f64 k t)) (pow.f64 (sin.f64 k) 2)))
	20.1b	(.f64 (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (pow.f64 (sin.f64 k) -2)) (.f64 l (*.f64 l 2)))
	19.3b	(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (.f64 (pow.f64 (/.f64 l k) 2) (/.f64 (cos.f64 k) t)) 2))) (sin.f64 k)) (/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 l k) 2) (*.f64 (/.f64 (cos.f64 k) t) 2))) (sin.f64 k)))
	10.3b	(.f64 (/.f64 (.f64 (pow.f64 (/.f64 l k) 2) (/.f64 (cos.f64 k) t)) (sin.f64 k)) (/.f64 2 (sin.f64 k)))
▶	8.2b	(.f64 (/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k)) (/.f64 (.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k)))
	43.0b	(pow.f64 (.f64 (.f64 l (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 (cos.f64 k)) (*.f64 k (sqrt.f64 t))) (sin.f64 k))) 2)
	12.5b	(.f64 (.f64 (pow.f64 (/.f64 l k) 2) (/.f64 (cos.f64 k) t)) (*.f64 2 (pow.f64 (sin.f64 k) -2)))
	21.4b	(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (.f64 2 (.f64 l l))) (cbrt.f64 (pow.f64 (sin.f64 k) 4))) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))
	19.5b	(/.f64 1 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (.f64 2 (.f64 l l)))))

Compiler

Compiled 4786 to 2662 computations (44.4% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 l k) 2)
✓	0.3b	(/.f64 (*.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k))
✓	2.5b	(/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k))
✓	6.2b	(.f64 (/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k)) (/.f64 (.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k)))

series249.0ms (1%)

Counts

4 → 108

Calls

4 calls:

164.0ms	(.f64 (/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k)) (/.f64 (.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k)))
45.0ms	(/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k))
28.0ms	(/.f64 (*.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k))
12.0ms	(pow.f64 (/.f64 l k) 2)

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-udef_binary64`
168×	`egg-rr`
156×	`add-sqr-sqrt_binary64`
146×	`log1p-expm1-u_binary64`
146×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	310	59
2	4520	59

Stop Event

1×	node limit

Counts

4 → 168

Calls

4 calls:

69.0ms	(pow.f64 (/.f64 l k) 2)
69.0ms	(/.f64 (*.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k))
69.0ms	(/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k))
69.0ms	(.f64 (/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k)) (/.f64 (.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k)))

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

396×	`fma-neg_binary64`
379×	`times-frac_binary64`
326×	`cancel-sign-sub-inv_binary64`
244×	`associate-/l*_binary64`
226×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	2092
1	237	2088
2	744	2063
3	3453	2059

Stop Event

1×	node limit

Counts

276 → 197

prune439.0ms (1.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	188	9	197
Fresh	9	13	22
Picked	1	0	1
Done	0	0	0
Total	198	22	220

Error

0.0b

Counts

220 → 22

Alt Table

Status	Error	Program
	12.5b	(/.f64 (.f64 (/.f64 (.f64 (/.f64 l k) (*.f64 l (/.f64 (cos.f64 k) t))) k) 2) (pow.f64 (sin.f64 k) 2))
	20.3b	(.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 k (.f64 k t))) 2)) (/.f64 (cos.f64 k) (cbrt.f64 (.f64 k (.f64 k t))))) (pow.f64 (sin.f64 k) 2)) (.f64 l (.f64 l 2)))
	14.5b	(/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 l k) (/.f64 1 k)) l) (/.f64 (cos.f64 k) t)) 2) (pow.f64 (sin.f64 k) 2))
	19.8b	(/.f64 (.f64 (/.f64 (.f64 l (.f64 l (/.f64 (cos.f64 k) t))) (.f64 k k)) 2) (pow.f64 (sin.f64 k) 2))
	20.0b	(.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 1 (.f64 k t))) (pow.f64 (sin.f64 k) 2)) (.f64 l (*.f64 l 2)))
	8.0b	(/.f64 (.f64 (/.f64 (/.f64 (cos.f64 k) t) (.f64 (sin.f64 k) 1/2)) (neg.f64 (pow.f64 (/.f64 l k) 2))) (neg.f64 (sin.f64 k)))
	22.7b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	31.2b	(.f64 (.f64 (/.f64 l k) (sqrt.f64 (.f64 (/.f64 (cos.f64 k) t) 2))) (.f64 (.f64 (/.f64 l k) (sqrt.f64 (.f64 (/.f64 (cos.f64 k) t) 2))) (pow.f64 (sin.f64 k) -2)))
	8.3b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 k l) (/.f64 k l))) (sin.f64 k)) (/.f64 (*.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k)))
	20.3b	(.f64 (cbrt.f64 (.f64 4 (pow.f64 (.f64 (pow.f64 (/.f64 l k) 2) (/.f64 (cos.f64 k) t)) 2))) (.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 l k) 2) (.f64 (/.f64 (cos.f64 k) t) 2))) (pow.f64 (sin.f64 k) -2)))
	9.2b	(/.f64 (pow.f64 (/.f64 l k) 2) (.f64 (sin.f64 k) (.f64 (/.f64 t (cos.f64 k)) (*.f64 (sin.f64 k) 1/2))))
	10.6b	(.f64 (/.f64 (/.f64 l (.f64 (/.f64 k l) k)) (sin.f64 k)) (/.f64 (*.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k)))
	8.2b	(.f64 (/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k)) (.f64 2 (/.f64 (cos.f64 k) (*.f64 t (sin.f64 k)))))
	28.5b	(.f64 2 (.f64 (/.f64 l t) (/.f64 l (pow.f64 k 4))))
	16.4b	(.f64 2 (.f64 (.f64 (/.f64 l (.f64 k k)) (/.f64 l t)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	30.4b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (/.f64 l k) (sqrt.f64 (.f64 (/.f64 (cos.f64 k) t) 2))) (sin.f64 k)) 2)) 3)
	19.8b	(/.f64 (.f64 (cos.f64 k) (.f64 2 (.f64 l l))) (.f64 (.f64 k (.f64 k t)) (pow.f64 (sin.f64 k) 2)))
	8.5b	(/.f64 (.f64 (/.f64 (cos.f64 k) t) (/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k))) (.f64 (sin.f64 k) 1/2))
	8.6b	(.f64 (/.f64 (pow.f64 (/.f64 l k) 2) (sin.f64 k)) (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 (cos.f64 k) t))) 2) 1) (/.f64 (cbrt.f64 (.f64 2 (/.f64 (cos.f64 k) t))) (sin.f64 k))))
	6.4b	(.f64 (.f64 (/.f64 (/.f64 l k) 1) (/.f64 (/.f64 l k) (sin.f64 k))) (/.f64 (*.f64 (/.f64 (cos.f64 k) t) 2) (sin.f64 k)))
	21.4b	(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (.f64 2 (.f64 l l))) (cbrt.f64 (pow.f64 (sin.f64 k) 4))) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))
	19.5b	(/.f64 1 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 k t)) k) (.f64 2 (.f64 l l)))))

Compiler

Compiled 4940 to 2359 computations (52.2% saved)

regimes1.8s (6.9%)

Accuracy

Total 5.1b remaining (98.1%)

Threshold costs 0b (0%)

Counts

180 → 6

Compiler

Compiled 26375 to 18355 computations (30.4% saved)

bsearch763.0ms (2.9%)

Steps

Iters	Range		Point
10	1.6354962081389232e+199	5.460373126520004e+209	2.0585063427582685e+208
9	8.601071692344845e+101	2.0716954623437665e+108	7.988200189249557e+105
8	1.7149005828518922e-94	4.7267325883441276e-91	1.0932265067334292e-92
8	-0.12063712516295078	-9.827933890625863e-5	-9.950957702371115e-5
3	-1.36503294457894e+142	-1.3609444581279039e+138	-4.4355977450628285e+138

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	211
1	76	211

Stop Event

1×

saturated

end364.0ms (1.4%)

Compiler: Compiled 824 to 510 computations (38.1% saved)

Details

analyze3.3s (12.8%)

sample16.8s (64.9%)

simplify18.0ms (0.1%)

prune5.0ms (0%)

localize14.0ms (0.1%)

series304.0ms (1.2%)

rewrite65.0ms (0.3%)

simplify48.0ms (0.2%)

prune146.0ms (0.6%)

localize12.0ms (0%)

series267.0ms (1%)

rewrite75.0ms (0.3%)

simplify55.0ms (0.2%)

prune247.0ms (1%)

localize13.0ms (0%)

series285.0ms (1.1%)

rewrite72.0ms (0.3%)

simplify54.0ms (0.2%)

prune349.0ms (1.3%)

localize12.0ms (0%)

series249.0ms (1%)

rewrite72.0ms (0.3%)

simplify56.0ms (0.2%)

prune439.0ms (1.7%)

regimes1.8s (6.9%)

bsearch763.0ms (2.9%)

simplify4.0ms (0%)

end364.0ms (1.4%)

Profiling