Details

analyze2.8s (18.1%)

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)

sample5.3s (34.8%)

Results

2.7s	2761×	body	1024	valid
960.0ms	3674×	body	128	valid
830.0ms	1260×	body	512	valid
351.0ms	1493×	body	128	invalid
258.0ms	552×	body	256	valid
96.0ms	152×	body	512	invalid
56.0ms	46×	body	1024	invalid
53.0ms	114×	body	256	invalid
14.0ms	9×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify55.0ms (0.4%)

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

32.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.1b	(/.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
✓	4.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	4.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	11.3b	(.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)))
✓	15.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series399.0ms (2.6%)

Counts

4 → 132

Calls

4 calls:

180.0ms	(.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)))
113.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
75.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
31.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite97.0ms (0.6%)

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 → 127

Calls

4 calls:

94.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
94.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
94.0ms	(.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)))
94.0ms	(/.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

simplify85.0ms (0.6%)

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

259 → 164

Iterations

Useful iterations: 2 (0.0ms)

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

prune273.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	150	14	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	14	165

Error

10.2b

Counts

165 → 14

Alt Table

Status	Error	Program
	49.6b	(/.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))))
	41.8b	(/.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))))
	25.3b	(/.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))))
	20.7b	(/.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))))
	31.7b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) (pow.f64 l 2)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.2b	(/.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))))
	24.7b	(/.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))))
	42.2b	(/.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))))))))
	27.8b	(/.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))))
	55.3b	(/.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))
	29.8b	(/.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))))))
	33.3b	(/.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)))))
	30.6b	(/.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)))
▶	16.5b	(/.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 6068 to 3622 computations (40.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 l)
✓	1.7b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	4.1b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
✓	11.3b	(.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)))

series1.2s (7.8%)

Counts

4 → 120

Calls

4 calls:

855.0ms	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
185.0ms	(.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)))
132.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
32.0ms	(cbrt.f64 l)

rewrite94.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

197×	`add-sqr-sqrt_binary64`
191×	`prod-diff_binary64`
190×	`log1p-expm1-u_binary64`
190×	`expm1-log1p-u_binary64`
186×	`add-cbrt-cube_binary64`

Counts

4 → 99

Calls

4 calls:

91.0ms	(cbrt.f64 l)
91.0ms	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
91.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
91.0ms	(.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	19	79
1	412	71
2	4735	71
3	5048	71
0	0	0
1	0	0

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

813×	`times-frac_binary64`
623×	`associate-/l*_binary64`
413×	`fma-def_binary64`
175×	`associate-/r/_binary64`
141×	`fma-neg_binary64`

Counts

219 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	3473
1	404	3405
2	1366	3110
3	4868	3110
4	4964	3110

prune280.0ms (1.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	138	6	144
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	139	19	158

Error

10.1b

Counts

158 → 19

Alt Table

Status	Error	Program
	20.1b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 (.f64 (cbrt.f64 l) l))) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.0b	(/.f64 2 (.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (log.f64 l) -2 (log.f64 k)))) (-.f64 t (.f64 (.f64 (.f64 k k) 1/18) t))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.4b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) t)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.3b	(/.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))
▶	16.4b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 (sin.f64 k)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.8b	(/.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))))))
	49.6b	(/.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))))
	41.8b	(/.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))))
	25.3b	(/.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))))
	20.7b	(/.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))))
	31.7b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) (pow.f64 l 2)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.2b	(/.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))))
	24.7b	(/.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))))
	42.2b	(/.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))))))))
	27.8b	(/.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))))
	16.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))) 3) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.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))))
	33.3b	(/.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)))))
	30.6b	(/.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)))

Compiler

Compiled 6076 to 3764 computations (38.1% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 k))
	0.6b	(cbrt.f64 l)
✓	4.1b	(*.f64 (pow.f64 (/.f64 t (/.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 (sin.f64 k)))) 3) (tan.f64 k))
✓	11.3b	(.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 (sin.f64 k)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series457.0ms (3%)

Counts

3 → 84

Calls

3 calls:

182.0ms

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

151.0ms

(cbrt.f64 (sin.f64 k))

124.0ms

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

rewrite79.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

201×	`add-sqr-sqrt_binary64`
194×	`log1p-expm1-u_binary64`
194×	`expm1-log1p-u_binary64`
189×	`add-cbrt-cube_binary64`
188×	`add-cube-cbrt_binary64`

Counts

3 → 66

Calls

3 calls:

77.0ms

(cbrt.f64 (sin.f64 k))

77.0ms

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

77.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 t (/.f64 (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	19	65
1	418	57
2	4712	57
3	4960	57
0	0	0
1	0	0

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

798×	`times-frac_binary64`
585×	`associate-/l*_binary64`
459×	`associate-l_binary64`
347×	`associate-/r*_binary64`
272×	`fma-def_binary64`

Counts

150 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	2675
1	308	2675
2	1100	2463
3	5408	2463

prune275.0ms (1.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	123	21	144

Error

8.9b

Counts

144 → 21

Alt Table

Status	Error	Program
	27.8b	(/.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))))
	19.3b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	16.4b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) t)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.3b	(/.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))
	49.6b	(/.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))))
	41.8b	(/.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))))
	16.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 k)))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (cbrt.f64 (/.f64 (*.f64 l l) (sin.f64 k)))) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.7b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) (pow.f64 l 2)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.3b	(/.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))))
	20.7b	(/.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))))
	22.4b	(/.f64 2 (pow.f64 (.f64 (/.f64 t (cbrt.f64 (/.f64 (.f64 l l) (sin.f64 k)))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	42.2b	(/.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))))))))
	34.2b	(/.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))))
	24.7b	(/.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))))
	16.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))) 3) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.1b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 (.f64 (cbrt.f64 l) l))) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.8b	(/.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))))))
	33.3b	(/.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)))))
	30.6b	(/.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)))
	19.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (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))))

Compiler

Compiled 5555 to 3394 computations (38.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 l)
✓	1.5b	(/.f64 (cbrt.f64 (sin.f64 k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) t))
✓	4.1b	(*.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) t)) 3) (tan.f64 k))
✓	11.3b	(.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) t)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series1.2s (7.5%)

Counts

3 → 108

Calls

3 calls:

839.0ms

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

186.0ms

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

126.0ms

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

rewrite88.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

200×	`add-sqr-sqrt_binary64`
193×	`log1p-expm1-u_binary64`
193×	`expm1-log1p-u_binary64`
188×	`add-cbrt-cube_binary64`
187×	`add-cube-cbrt_binary64`

Counts

3 → 86

Calls

3 calls:

85.0ms

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

85.0ms

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

85.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	417	66
2	4716	66
3	4967	66
0	0	0
1	0	0

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

810×	`times-frac_binary64`
600×	`associate-/l*_binary64`
394×	`fma-def_binary64`
362×	`associate-/r*_binary64`
174×	`associate-/r/_binary64`

Counts

194 → 128

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	3409
1	384	3341
2	1317	3046
3	5176	3046

prune334.0ms (2.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	151	23	174

Error

8.9b

Counts

174 → 23

Alt Table

Status	Error	Program
	27.8b	(/.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))))
	19.3b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	49.6b	(/.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))))
	41.8b	(/.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))))
	16.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 k)))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (cbrt.f64 (/.f64 (*.f64 l l) (sin.f64 k)))) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.7b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) (pow.f64 l 2)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.3b	(/.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))))
	20.7b	(/.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))))
	16.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) t)) 2)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) t)))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.4b	(/.f64 2 (pow.f64 (.f64 (/.f64 t (cbrt.f64 (/.f64 (.f64 l l) (sin.f64 k)))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	42.2b	(/.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))))))))
	34.2b	(/.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))))
	24.7b	(/.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))))
	19.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t (/.f64 (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))))
	22.5b	(/.f64 2 (pow.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 k) (.f64 l l))) t) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	16.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))) 3) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.1b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 (.f64 (cbrt.f64 l) l))) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.3b	(/.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))
	29.8b	(/.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))))))
	33.3b	(/.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)))))
	16.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) (/.f64 (pow.f64 (cbrt.f64 l) 2) t))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.6b	(/.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)))

Compiler

Compiled 5951 to 3556 computations (40.2% saved)

regimes1.1s (6.9%)

Accuracy

Total 5.6b remaining (39%)

Threshold costs 0b (0%)

Counts

95 → 5

Compiler

Compiled 18361 to 13555 computations (26.2% saved)

bsearch378.0ms (2.5%)

Steps

Iters	Range		Point
7	1.078822850377706e+77	5.917567332906647e+78	2.2186256439908187e+77
8	5.538199388340154e-166	5.605129783970355e-162	5.490168916135092e-162
9	-4.652556913131866e-194	-1.1328136232416566e-201	-4.91448157463651e-196
8	-2.2341949825051777e+122	-1.1565391927891807e+118	-2.3666527635593354e+118

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	226
1	61	226
2	61	226

end515.0ms (3.3%)

Compiler: Compiled 1026 to 727 computations (29.1% saved)

Details

analyze2.8s (18.1%)

sample5.3s (34.8%)

simplify55.0ms (0.4%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series399.0ms (2.6%)

rewrite97.0ms (0.6%)

simplify85.0ms (0.6%)

prune273.0ms (1.8%)

localize21.0ms (0.1%)

series1.2s (7.8%)

rewrite94.0ms (0.6%)

simplify105.0ms (0.7%)

prune280.0ms (1.8%)

localize56.0ms (0.4%)

series457.0ms (3%)

rewrite79.0ms (0.5%)

simplify69.0ms (0.5%)

prune275.0ms (1.8%)

localize19.0ms (0.1%)

series1.2s (7.5%)

rewrite88.0ms (0.6%)

simplify110.0ms (0.7%)

prune334.0ms (2.2%)

regimes1.1s (6.9%)

bsearch378.0ms (2.5%)

simplify5.0ms (0%)

end515.0ms (3.3%)

Profiling