Details

analyze2.8s (16.8%)

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
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)

sample5.1s (30.4%)

Results

2.6s	2741×	body	1024	valid
855.0ms	3621×	body	128	valid
804.0ms	1276×	body	512	valid
358.0ms	1440×	body	128	invalid
273.0ms	613×	body	256	valid
88.0ms	136×	body	512	invalid
53.0ms	109×	body	256	invalid
50.0ms	58×	body	1024	invalid
7.0ms	5×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify53.0ms (0.3%)

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

prune4.0ms (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

29.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.9b	(/.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)

localize16.0ms (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))
✓	3.9b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	12.5b	(.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)))
✓	14.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series431.0ms (2.6%)

Counts

4 → 132

Calls

4 calls:

197.0ms	(.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)))
124.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
74.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
35.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite94.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

123× egg-rr

Counts

4 → 123

Calls

2 calls:

90.0ms

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

0.0ms

()

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

simplify73.0ms (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

prune273.0ms (1.6%)

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

8.2b

Counts

163 → 15

Alt Table

Status	Error	Program
	49.3b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.8b	(/.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))))
	22.0b	(/.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))))
	32.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (cbrt.f64 (pow.f64 l 4))) (/.f64 (*.f64 t t) (pow.f64 (cbrt.f64 l) 2))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.5b	(/.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))))))))
	30.2b	(/.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 t 3) l) (*.f64 (sin.f64 k) (tan.f64 k))) l) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.2b	(/.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))))
▶	16.1b	(/.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))))
	26.9b	(/.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))))
	27.2b	(/.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))))
	23.4b	(/.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))))))
	27.8b	(/.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)))))
	54.2b	(/.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 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 l l)))
	42.3b	(/.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))))

Compiler

Compiled 6090 to 3646 computations (40.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 k))
✓	1.2b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	2.2b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
✓	12.5b	(.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)))

series1.8s (10.7%)

Counts

4 → 120

Calls

4 calls:

1.2s	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
211.0ms	(.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)))
178.0ms	(cbrt.f64 (sin.f64 k))
172.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))

rewrite99.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

93× egg-rr

Counts

4 → 93

Calls

2 calls:

96.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	81
1	412	71
2	4735	71
3	5048	71
0	0	0
1	0	0

simplify134.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

813×	`times-frac_binary64`
623×	`associate-/l*_binary64`
466×	`fma-def_binary64`
175×	`associate-/r/_binary64`
151×	`cancel-sign-sub-inv_binary64`

Counts

213 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	3521
1	460	3453
2	1505	3126
3	5083	3126

prune285.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	137	8	145
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	140	20	160

Error

7.5b

Counts

160 → 20

Alt Table

Status	Error	Program
	40.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (exp.f64 (log.f64 (cbrt.f64 (sin.f64 k))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	39.9b	(/.f64 2 (.f64 (.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3)) (-.f64 t (.f64 (.f64 (*.f64 k k) 1/18) t))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	16.1b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.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))))
	29.9b	(/.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.8b	(/.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)))))
	18.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (fma.f64 (cbrt.f64 (pow.f64 k 7)) -1/18 (cbrt.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	54.2b	(/.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))
	49.3b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.8b	(/.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))))
	22.0b	(/.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))))
	38.5b	(/.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))))))))
	30.2b	(/.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 t 3) l) (*.f64 (sin.f64 k) (tan.f64 k))) l) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.2b	(/.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))))
	26.9b	(/.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))))
	16.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	36.3b	(/.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))
	31.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 k)))) 1)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.3b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 l l)))
	42.3b	(/.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))))

Compiler

Compiled 6209 to 3914 computations (37% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	0.6b	(cbrt.f64 (sin.f64 k))
✓	2.2b	(.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k))
✓	12.5b	(.f64 (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series769.0ms (4.6%)

Counts

3 → 108

Calls

3 calls:

349.0ms

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

271.0ms

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

148.0ms

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

rewrite74.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

56× egg-rr

Counts

3 → 56

Calls

2 calls:

71.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	446	93
2	4776	93
3	4928	93
0	0	0
1	0	0

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
299×	`times-frac_binary64`
265×	`associate-/l/_binary64`
233×	`associate-/l*_binary64`
229×	`cancel-sign-sub-inv_binary64`

Counts

164 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	4900
1	628	4870
2	2904	4560
3	4949	4554
4	4996	4554

prune338.0ms (2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	139	22	161

Error

7.0b

Counts

161 → 22

Alt Table

Status	Error	Program
	40.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (exp.f64 (log.f64 (cbrt.f64 (sin.f64 k))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.2b	(pow.f64 (sqrt.f64 (/.f64 2 (.f64 (/.f64 (/.f64 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3) l) l) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 2)
	25.8b	(/.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3) l) (sin.f64 k)) (.f64 l (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (-.f64 (cbrt.f64 k) (fma.f64 1/18 (cbrt.f64 (pow.f64 k 7)) (.f64 1/3240 (cbrt.f64 (pow.f64 k 13)))))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.9b	(/.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))))
	33.9b	(/.f64 (pow.f64 l 2) (*.f64 (pow.f64 k 2) (pow.f64 t 3)))
▶	16.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	29.9b	(/.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.8b	(/.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)))))
	18.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (fma.f64 (cbrt.f64 (pow.f64 k 7)) -1/18 (cbrt.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	54.2b	(/.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))
	36.0b	(.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 l 2/3)) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 2) (/.f64 (cbrt.f64 2) (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 l 2/3)) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))))
	49.3b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.8b	(/.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))))
	22.0b	(/.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))))
	38.5b	(/.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))))))))
	27.2b	(/.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))))
	38.1b	(fma.f64 (/.f64 l (.f64 k k)) (/.f64 l (pow.f64 t 3)) (fma.f64 (/.f64 (.f64 l l) (pow.f64 t 3)) -1/6 (.f64 (/.f64 (.f64 l l) (pow.f64 t 5)) -1/2)))
	31.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 k)))) 1)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.3b	(/.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))))
	24.2b	(/.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))))

Compiler

Compiled 6635 to 4078 computations (38.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)
✓	1.2b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3))
✓	2.2b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)) 3) (tan.f64 k))
✓	12.5b	(.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series1.7s (10%)

Counts

4 → 120

Calls

4 calls:

1.1s	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3))
232.0ms	(.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
184.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)
146.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)) 3) (tan.f64 k))

rewrite91.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

85× egg-rr

Counts

4 → 85

Calls

2 calls:

83.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	435	71
2	4652	71
3	5430	71
0	0	0
1	0	0

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

813×	`times-frac_binary64`
623×	`associate-/l*_binary64`
466×	`fma-def_binary64`
175×	`associate-/r/_binary64`
151×	`cancel-sign-sub-inv_binary64`

Counts

205 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	3521
1	460	3453
2	1505	3126
3	5083	3126

prune237.0ms (1.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	20	21
Picked	0	1	1
Done	0	0	0
Total	137	22	159

Error

7.0b

Counts

159 → 22

Alt Table

Status	Error	Program
	40.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (exp.f64 (log.f64 (cbrt.f64 (sin.f64 k))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.2b	(pow.f64 (sqrt.f64 (/.f64 2 (.f64 (/.f64 (/.f64 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3) l) l) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 2)
	25.8b	(/.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 t (cbrt.f64 (sin.f64 k))) 3) l) (sin.f64 k)) (.f64 l (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (-.f64 (cbrt.f64 k) (fma.f64 1/18 (cbrt.f64 (pow.f64 k 7)) (.f64 1/3240 (cbrt.f64 (pow.f64 k 13)))))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.9b	(/.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))))
	33.9b	(/.f64 (pow.f64 l 2) (*.f64 (pow.f64 k 2) (pow.f64 t 3)))
✓	16.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 3)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	29.9b	(/.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.8b	(/.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)))))
	54.2b	(/.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))
	36.0b	(.f64 (pow.f64 (/.f64 (cbrt.f64 2) (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 l 2/3)) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) 2) (/.f64 (cbrt.f64 2) (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 l 2/3)) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))))
	42.3b	(/.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))))
	18.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (-.f64 (cbrt.f64 k) (fma.f64 1/18 (cbrt.f64 (pow.f64 k 7)) (.f64 1/3240 (cbrt.f64 (pow.f64 k 13)))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	49.3b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.8b	(/.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))))
	22.0b	(/.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))))
	38.5b	(/.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))))))))
	27.2b	(/.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))))
	38.1b	(fma.f64 (/.f64 l (.f64 k k)) (/.f64 l (pow.f64 t 3)) (fma.f64 (/.f64 (.f64 l l) (pow.f64 t 3)) -1/6 (.f64 (/.f64 (.f64 l l) (pow.f64 t 5)) -1/2)))
	31.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 k)))) 1)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.2b	(/.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))))

Compiler

Compiled 5458 to 3390 computations (37.9% saved)

regimes1.4s (8.3%)

Accuracy

Total 4.9b remaining (37.8%)

Threshold costs 0b (0%)

Counts

111 → 3

Compiler

Compiled 20924 to 15635 computations (25.3% saved)

bsearch230.0ms (1.4%)

Steps

Iters	Range		Point
4	1.4068239485441199e-108	2.547170129831757e-108	1.4741695502041248e-108
10	-6.411332065917639e-50	-5.232771539664643e-63	-2.291768009392636e-57

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	139
1	60	139
2	60	139

end514.0ms (3.1%)

Compiler: Compiled 889 to 641 computations (27.9% saved)

Details

analyze2.8s (16.8%)

sample5.1s (30.4%)

simplify53.0ms (0.3%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series431.0ms (2.6%)

rewrite94.0ms (0.6%)

simplify73.0ms (0.4%)

prune273.0ms (1.6%)

localize20.0ms (0.1%)

series1.8s (10.7%)

rewrite99.0ms (0.6%)

simplify134.0ms (0.8%)

prune285.0ms (1.7%)

localize19.0ms (0.1%)

series769.0ms (4.6%)

rewrite74.0ms (0.4%)

simplify124.0ms (0.7%)

prune338.0ms (2%)

localize25.0ms (0.1%)

series1.7s (10%)

rewrite91.0ms (0.5%)

simplify76.0ms (0.5%)

prune237.0ms (1.4%)

regimes1.4s (8.3%)

bsearch230.0ms (1.4%)

simplify4.0ms (0%)

end514.0ms (3.1%)

Profiling