Details

analyze2.8s (20.6%)

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)

sample5.2s (38.6%)

Results

2.7s	2845×	body	1024	valid
836.0ms	3518×	body	128	valid
832.0ms	1309×	body	512	valid
333.0ms	1447×	body	128	invalid
249.0ms	577×	body	256	valid
81.0ms	132×	body	512	invalid
47.0ms	51×	body	1024	invalid
42.0ms	99×	body	256	invalid
10.0ms	7×	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

29.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	30.4b	(.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))
	32.4b	(/.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

▶

30.4b

(*.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))

32.4b

(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.6b	(*.f64 (pow.f64 t 3) (sin.f64 k))
✓	5.1b	(.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))
✓	7.6b	(.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)
✓	17.4b	(/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series575.0ms (4.3%)

Counts

4 → 100

Calls

4 calls:

246.0ms	(.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)
237.0ms	(.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))
80.0ms	(/.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))

rewrite43.0ms (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:

41.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))
41.0ms	(.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))
40.0ms	(.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)
40.0ms	(/.f64 (/.f64 2 (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

simplify83.0ms (0.6%)

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

prune286.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	172	11	183
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	173	12	185

Error

11.5b

Counts

185 → 12

Alt Table

Status	Error	Program
	34.9b	(.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)))
	29.9b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) 2))) l))
	28.6b	(.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))
	26.5b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	37.8b	(pow.f64 (sqrt.f64 (.f64 l (.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))) 2)
	25.7b	(.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))
	29.7b	(.f64 l (.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	32.0b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
▶	23.7b	(.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)))))))
	29.3b	(.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)))))
	55.4b	(.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))
	32.4b	(/.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 7490 to 4582 computations (38.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.3b	(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
✓	5.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.8b	(/.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)))))
✓	9.1b	(*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

series341.0ms (2.5%)

Counts

4 → 88

Calls

4 calls:

247.0ms	(/.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))
39.0ms	(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
14.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

187×	`add-sqr-sqrt_binary64`
177×	`log1p-expm1-u_binary64`
177×	`expm1-log1p-u_binary64`
174×	`add-cbrt-cube_binary64`
174×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	386	89

Stop Event

1×	node limit

Counts

4 → 103

Calls

4 calls:

39.0ms	(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
39.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
39.0ms	(/.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 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

338×	`associate-/r/_binary64`
307×	`cancel-sign-sub-inv_binary64`
198×	`times-frac_binary64`
165×	`associate-r_binary64`
165×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	3179
1	616	3134
2	2728	2987

Stop Event

1×	node limit

Counts

191 → 159

prune282.0ms (2.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	154	5	159
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	156	15	171

Error

10.1b

Counts

171 → 15

Alt Table

Status	Error	Program
	32.0b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
	21.4b	(.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))))))
	34.9b	(.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)))
	29.9b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) 2))) l))
▶	15.9b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (pow.f64 (cbrt.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)))))))
	29.6b	(.f64 l (.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	28.6b	(.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))
	26.5b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	37.8b	(pow.f64 (sqrt.f64 (.f64 l (.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))) 2)
	29.7b	(.f64 l (.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	51.4b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (pow.f64 (.f64 (*.f64 (sin.f64 k) (sqrt.f64 t)) (/.f64 k (sqrt.f64 (cos.f64 k)))) 2)))))
	48.6b	(.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)))))))
	29.3b	(.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)))))
	55.4b	(.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))
	32.4b	(/.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 7144 to 4140 computations (42% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (pow.f64 (cbrt.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)))))))
	5.3b	(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
	5.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.8b	(/.f64 l (fma.f64 2 (pow.f64 (.f64 (pow.f64 (cbrt.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)))))

series807.0ms (6%)

Counts

2 → 66

Calls

2 calls:

412.0ms

(*.f64 l (*.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (*.f64 (pow.f64 (cbrt.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)))))))

395.0ms

(/.f64 l (fma.f64 2 (pow.f64 (*.f64 (pow.f64 (cbrt.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)))))

rewrite31.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

232×	`add-sqr-sqrt_binary64`
223×	`log1p-expm1-u_binary64`
223×	`expm1-log1p-u_binary64`
219×	`add-cbrt-cube_binary64`
217×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	491	92

Stop Event

1×	node limit

Counts

2 → 41

Calls

2 calls:

30.0ms

(*.f64 l (*.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (*.f64 (pow.f64 (cbrt.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)))))))

30.0ms

(/.f64 l (fma.f64 2 (pow.f64 (*.f64 (pow.f64 (cbrt.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)))))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-/r/_binary64`
363×	`fma-def_binary64`
350×	`times-frac_binary64`
287×	`cancel-sign-sub-inv_binary64`
242×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	3966
1	638	3918
2	2993	3726

Stop Event

1×	node limit

Counts

107 → 89

prune295.0ms (2.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	149	17	166

Error

9.8b

Counts

166 → 17

Alt Table

Status	Error	Program
	32.0b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
▶	21.4b	(.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))))))
	34.9b	(.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)))
	29.9b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) 2))) l))
✓	15.9b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (pow.f64 (cbrt.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)))))))
	30.0b	(.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 k k))) (.f64 (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2)) l))
	28.6b	(.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))
	26.5b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	28.7b	(.f64 l (.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2)))))
	29.7b	(.f64 l (.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	35.6b	(.f64 l (.f64 2 (/.f64 l (*.f64 (pow.f64 k 4) t))))
	32.4b	(/.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)))
	51.4b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (pow.f64 (.f64 (*.f64 (sin.f64 k) (sqrt.f64 t)) (/.f64 k (sqrt.f64 (cos.f64 k)))) 2)))))
	29.0b	(pow.f64 (sqrt.f64 (.f64 l (/.f64 (.f64 2 l) (fma.f64 2 (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (cos.f64 k))) (.f64 (*.f64 (/.f64 k (/.f64 (cos.f64 k) k)) t) (pow.f64 (sin.f64 k) 2)))))) 2)
	48.6b	(.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)))))))
	29.3b	(.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)))))
	55.4b	(.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))

Compiler

Compiled 7064 to 3947 computations (44.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(.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))))))
	5.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.8b	(/.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))))
	9.1b	(*.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2))

series517.0ms (3.9%)

Counts

2 → 72

Calls

2 calls:

259.0ms

(/.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))))

258.0ms

(*.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))))))

rewrite34.0ms (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	92
1	438	92

Stop Event

1×	node limit

Counts

2 → 41

Calls

2 calls:

32.0ms

(*.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))))))

32.0ms

(/.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))))

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-def_binary64`
434×	`times-frac_binary64`
316×	`associate-/l*_binary64`
283×	`associate-/r*_binary64`
230×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	4572
1	902	4522
2	4232	4520

Stop Event

1×	node limit

Counts

113 → 101

prune373.0ms (2.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	156	4	160
Fresh	1	14	15
Picked	0	1	1
Done	0	1	1
Total	157	20	177

Error

9.3b

Counts

177 → 20

Alt Table

Status	Error	Program
	32.0b	(.f64 2 (/.f64 (/.f64 (/.f64 (.f64 l l) (/.f64 (*.f64 k k) (cos.f64 k))) t) (pow.f64 (sin.f64 k) 2)))
✓	21.4b	(.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))))))
	34.9b	(.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)))
	29.9b	(.f64 l (.f64 (.f64 (/.f64 2 (.f64 k k)) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) 2))) l))
	23.0b	(.f64 l (.f64 2 (.f64 (cbrt.f64 (pow.f64 (/.f64 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)))))) 2)) (cbrt.f64 (/.f64 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))))))))))
✓	15.9b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (pow.f64 (.f64 (pow.f64 (cbrt.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)))))))
	30.0b	(.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 k k))) (.f64 (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2)) l))
	28.6b	(.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))
	26.5b	(.f64 l (.f64 (/.f64 2 (.f64 k (.f64 k t))) (/.f64 (*.f64 (cos.f64 k) l) (pow.f64 (sin.f64 k) 2))))
	35.6b	(.f64 l (.f64 2 (/.f64 l (*.f64 (pow.f64 k 4) t))))
	32.4b	(/.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)))
	51.4b	(.f64 l (.f64 2 (/.f64 l (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) (pow.f64 (.f64 (*.f64 (sin.f64 k) (sqrt.f64 t)) (/.f64 k (sqrt.f64 (cos.f64 k)))) 2)))))
	21.4b	(.f64 l (.f64 2 (.f64 1 (/.f64 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)))))))))
	32.5b	(/.f64 (*.f64 (/.f64 l k) (/.f64 l k)) (pow.f64 t 3))
	29.0b	(pow.f64 (sqrt.f64 (.f64 l (/.f64 (.f64 2 l) (fma.f64 2 (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (cos.f64 k))) (.f64 (*.f64 (/.f64 k (/.f64 (cos.f64 k) k)) t) (pow.f64 (sin.f64 k) 2)))))) 2)
	48.6b	(.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)))))))
	29.3b	(.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)))))
	55.4b	(.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))
	28.7b	(.f64 l (.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2)))))
	25.7b	(.f64 l (.f64 2 (cbrt.f64 (pow.f64 (/.f64 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))))

Compiler

Compiled 7527 to 4500 computations (40.2% saved)

regimes872.0ms (6.5%)

Accuracy

Total 4.7b remaining (34.8%)

Threshold costs 0b (0%)

Counts

92 → 3

Compiler

Compiled 16054 to 11311 computations (29.5% saved)

bsearch180.0ms (1.3%)

Steps

Iters	Range		Point
6	2.6832533315789837e-58	2.0014124127684995e-57	3.006535294547819e-58
8	-8.740519600524797e-31	-1.845296734073291e-35	-2.923594749399133e-34

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	147
1	47	147

Stop Event

1×

saturated

end397.0ms (3%)

Compiler: Compiled 798 to 522 computations (34.6% saved)

Details

analyze2.8s (20.6%)

sample5.2s (38.6%)

simplify25.0ms (0.2%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series575.0ms (4.3%)

rewrite43.0ms (0.3%)

simplify83.0ms (0.6%)

prune286.0ms (2.1%)

localize20.0ms (0.1%)

series341.0ms (2.5%)

rewrite41.0ms (0.3%)

simplify59.0ms (0.4%)

prune282.0ms (2.1%)

localize23.0ms (0.2%)

series807.0ms (6%)

rewrite31.0ms (0.2%)

simplify66.0ms (0.5%)

prune295.0ms (2.2%)

localize17.0ms (0.1%)

series517.0ms (3.9%)

rewrite34.0ms (0.3%)

simplify80.0ms (0.6%)

prune373.0ms (2.8%)

regimes872.0ms (6.5%)

bsearch180.0ms (1.3%)

simplify3.0ms (0%)

end397.0ms (3%)

Profiling