Details

analyze5.2s (16.7%)

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)

sample9.4s (30.6%)

Results

4.7s	2769×	body	1024	valid
1.5s	3617×	body	128	valid
1.5s	1278×	body	512	valid
642.0ms	1531×	body	128	invalid
534.0ms	586×	body	256	valid
158.0ms	141×	body	512	invalid
107.0ms	130×	body	256	invalid
89.0ms	52×	body	1024	invalid
18.0ms	6×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
431×	`associate-/r/_binary64`
404×	`associate-/r*_binary64`
395×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	181	35
3	898	35
4	3262	35
5	4861	35
6	4933	35
7	5155	35

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 103 to 71 computations (31.1% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.4b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	11.5b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
✓	15.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series659.0ms (2.1%)

Counts

4 → 132

Calls

4 calls:

292.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
203.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
109.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
54.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite123.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

378×	`prod-diff_binary64`
185×	`add-sqr-sqrt_binary64`
177×	`log1p-expm1-u_binary64`
177×	`expm1-log1p-u_binary64`
174×	`add-log-exp_binary64`

Counts

4 → 123

Calls

4 calls:

118.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
118.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
118.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
118.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	379	77
2	4889	77
3	5653	77
0	0	0
1	0	0

simplify128.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

829×	`associate-/l*_binary64`
699×	`associate-l_binary64`
479×	`associate-/r*_binary64`
278×	`fma-def_binary64`
260×	`associate-/r/_binary64`

Counts

255 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	3459
1	315	3455
2	1272	3239
3	5684	3239

prune511.0ms (1.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	147	15	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	15	163

Error

9.1b

Counts

163 → 15

Alt Table

Status	Error	Program
	20.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.4b	(/.f64 2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) (pow.f64 l 2)))) (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))
	25.2b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k)) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.4b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.0b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.0b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	55.8b	(/.f64 2 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 2))
	29.3b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) 3))
	25.2b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	28.5b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 (sin.f64 k) (pow.f64 t 3)) (.f64 l l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.0b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t 1) (/.f64 (.f64 t t) (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	53.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	14.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 6088 to 3644 computations (40.1% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	2.2b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
✓	2.8b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	11.5b	(.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series3.0s (9.9%)

Counts

4 → 144

Calls

4 calls:

1.8s	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
616.0ms	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
372.0ms	(.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
249.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))

rewrite120.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

212×	`add-sqr-sqrt_binary64`
204×	`log1p-expm1-u_binary64`
204×	`expm1-log1p-u_binary64`
200×	`add-cbrt-cube_binary64`
198×	`add-cube-cbrt_binary64`

Counts

4 → 75

Calls

4 calls:

116.0ms	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
116.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
116.0ms	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
116.0ms	(.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	115
1	441	101
2	4700	101
3	4865	101
0	0	0
1	0	0

simplify208.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
346×	`cancel-sign-sub-inv_binary64`
301×	`times-frac_binary64`
236×	`associate-/l*_binary64`
209×	`associate-r_binary64`

Counts

219 → 147

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	5746
1	779	5648
2	3292	5524
3	4964	5524

prune614.0ms (2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	141	21	162

Error

8.1b

Counts

162 → 21

Alt Table

Status	Error	Program
	24.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (.f64 t (cbrt.f64 (/.f64 (sin.f64 k) (.f64 l l)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.8b	(/.f64 2 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 2))
	39.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 t (cbrt.f64 (sin.f64 k)))) (cbrt.f64 l)) 2) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.1b	(/.f64 2 (pow.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	28.5b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 (sin.f64 k) (pow.f64 t 3)) (.f64 l l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.2b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k)) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.4b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.0b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.0b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	37.2b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)))
	26.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t 1) (/.f64 (.f64 t t) (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	21.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.0b	(.f64 (/.f64 2 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k))) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	14.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.3b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) 3))
	39.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (*.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.2b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
▶	18.0b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	53.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 6785 to 4235 computations (37.6% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	2.2b	(.f64 (.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k))
✓	3.4b	(*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k))
✓	11.5b	(.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series1.7s (5.4%)

Counts

4 → 144

Calls

4 calls:

801.0ms	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
358.0ms	(.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
233.0ms	(.f64 (.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k))
219.0ms	(*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k))

rewrite115.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

204×	`add-sqr-sqrt_binary64`
198×	`log1p-expm1-u_binary64`
198×	`expm1-log1p-u_binary64`
192×	`add-cbrt-cube_binary64`
191×	`add-log-exp_binary64`

Counts

4 → 80

Calls

4 calls:

110.0ms	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
110.0ms	(.f64 (.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k))
110.0ms	(*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k))
110.0ms	(.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	110
1	425	102
2	4742	102
3	4905	102
0	0	0
1	0	0

simplify196.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary64`
312×	`times-frac_binary64`
256×	`cancel-sign-sub-inv_binary64`
255×	`associate-/l*_binary64`
220×	`unswap-sqr_binary64`

Counts

224 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	5556
1	696	5522
2	3196	5450
3	4960	5450

prune595.0ms (1.9%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	18	19
Picked	0	1	1
Done	0	1	1
Total	146	21	167

Error

8.1b

Counts

167 → 21

Alt Table

Status	Error	Program
	24.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (.f64 t (cbrt.f64 (/.f64 (sin.f64 k) (.f64 l l)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.8b	(/.f64 2 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 2))
	39.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 t (cbrt.f64 (sin.f64 k)))) (cbrt.f64 l)) 2) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	20.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.1b	(/.f64 2 (pow.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	28.5b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 (sin.f64 k) (pow.f64 t 3)) (.f64 l l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.2b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k)) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.4b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.0b	(.f64 (/.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.0b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.0b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	37.2b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)))
	26.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t 1) (/.f64 (.f64 t t) (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	21.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.3b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) 3))
	39.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (*.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.2b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
✓	18.0b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	53.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	14.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 6680 to 4034 computations (39.6% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	3.6b	(.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k))))
✓	8.2b	(cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))
✓	11.5b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series4.2s (13.5%)

Counts

4 → 120

Calls

4 calls:

2.7s	(.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k))))
592.0ms	(cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))
540.0ms	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
353.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite107.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

211×	`add-sqr-sqrt_binary64`
203×	`log1p-expm1-u_binary64`
203×	`expm1-log1p-u_binary64`
199×	`add-cbrt-cube_binary64`
197×	`add-cube-cbrt_binary64`

Counts

4 → 81

Calls

4 calls:

103.0ms	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
103.0ms	(.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k))))
103.0ms	(cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))
103.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	106
1	440	96
2	4690	96
3	4853	96
0	0	0
1	0	0

simplify174.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
300×	`times-frac_binary64`
240×	`cancel-sign-sub-inv_binary64`
235×	`associate-/l*_binary64`
205×	`associate-r_binary64`

Counts

201 → 152

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	5296
1	799	5147
2	3290	4995
3	5078	4995

prune515.0ms (1.7%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	145	7	152
Fresh	4	14	18
Picked	1	0	1
Done	0	2	2
Total	150	23	173

Error

7.5b

Counts

173 → 23

Alt Table

Status	Error	Program
	55.8b	(/.f64 2 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 2))
	20.5b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3)) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.2b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	25.2b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k)) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.4b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.0b	(.f64 (/.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 1 (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	18.0b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.1b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 k k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.0b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.0b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	37.2b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)))
	26.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t 1) (/.f64 (.f64 t t) (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	21.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	12.9b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (*.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (tan.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (cos.f64 k)))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.9b	(/.f64 2 (pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (pow.f64 t 3) (.f64 l l))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) 2))
	39.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 t (cbrt.f64 (sin.f64 k)))) (cbrt.f64 l)) 2) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.5b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 (sin.f64 k) (pow.f64 t 3)) (.f64 l l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.9b	(/.f64 2 (.f64 (pow.f64 (.f64 t (cbrt.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 (cos.f64 k) (.f64 l l))))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	53.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	14.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 6397 to 3858 computations (39.7% saved)

regimes1.9s (6.2%)

Accuracy

Total 2.7b remaining (25.1%)

Threshold costs 0b (0%)

Counts

110 → 3

Compiler

Compiled 20481 to 15199 computations (25.8% saved)

bsearch367.0ms (1.2%)

Steps

Iters	Range		Point
9	5.134821666309671e-83	2.1838275903495764e-77	6.095104110294208e-81
10	-3.32595249075105	-1.6293080344323144e-17	-5.1236186620617494e-11

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	137
1	49	137
2	49	137

end777.0ms (2.5%)

Compiler: Compiled 850 to 617 computations (27.4% saved)

Details

analyze5.2s (16.7%)

sample9.4s (30.6%)

simplify69.0ms (0.2%)

prune7.0ms (0%)

localize28.0ms (0.1%)

series659.0ms (2.1%)

rewrite123.0ms (0.4%)

simplify128.0ms (0.4%)

prune511.0ms (1.7%)

localize35.0ms (0.1%)

series3.0s (9.9%)

rewrite120.0ms (0.4%)

simplify208.0ms (0.7%)

prune614.0ms (2%)

localize33.0ms (0.1%)

series1.7s (5.4%)

rewrite115.0ms (0.4%)

simplify196.0ms (0.6%)

prune595.0ms (1.9%)

localize33.0ms (0.1%)

series4.2s (13.5%)

rewrite107.0ms (0.3%)

simplify174.0ms (0.6%)

prune515.0ms (1.7%)

regimes1.9s (6.2%)

bsearch367.0ms (1.2%)

simplify5.0ms (0%)

end777.0ms (2.5%)

Profiling