Details

analyze2.7s (17.7%)

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)

sample5.1s (33%)

Results

2.6s	2782×	body	1024	valid
863.0ms	3628×	body	128	valid
782.0ms	1245×	body	512	valid
339.0ms	1458×	body	128	invalid
254.0ms	597×	body	256	valid
86.0ms	141×	body	512	invalid
70.0ms	50×	body	1024	invalid
53.0ms	101×	body	256	invalid
7.0ms	4×	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

32.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.0b	(/.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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	12.1b	(.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)))
✓	17.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series372.0ms (2.4%)

Counts

4 → 132

Calls

4 calls:

156.0ms	(.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)))
115.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
72.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
28.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite91.0ms (0.6%)

Algorithm

1×	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:

88.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
88.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
88.0ms	(.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)))
86.0ms	(/.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

simplify125.0ms (0.8%)

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

prune349.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	151	13	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	13	165

Error

8.4b

Counts

165 → 13

Alt Table

Status	Error	Program
	39.5b	(/.f64 2 (fma.f64 173/2520 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 8)) (fma.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (.f64 l l)) (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 (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))))))
	43.8b	(/.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))))
	50.6b	(/.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))))
	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))))
▶	15.0b	(/.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))))
	29.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) l) (/.f64 1 l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	52.1b	(/.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))))
	23.6b	(/.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))))
	34.6b	(/.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))))
	32.6b	(/.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)))))
	18.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.9b	(/.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))))

Compiler

Compiled 6080 to 3620 computations (40.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 l)
✓	1.5b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
✓	2.3b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	12.1b	(.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)))

series1.3s (8.4%)

Counts

4 → 120

Calls

4 calls:

964.0ms	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
175.0ms	(.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)))
126.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
31.0ms	(cbrt.f64 l)

rewrite88.0ms (0.6%)

Algorithm

1×	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:

86.0ms	(cbrt.f64 l)
86.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
86.0ms	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
86.0ms	(.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: 1 (0.0ms)

Iter	Nodes	Cost
0	19	79
1	412	71
2	4735	71
3	5048	71

simplify111.0ms (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

prune303.0ms (2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	136	8	144
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	137	20	157

Error

8.3b

Counts

157 → 20

Alt Table

Status	Error	Program
	39.5b	(/.f64 2 (fma.f64 173/2520 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 8)) (fma.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (.f64 l l)) (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 (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))))))
	54.7b	(/.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))))
	43.8b	(/.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))))
	15.3b	(/.f64 2 (.f64 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.6b	(/.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)))))
	54.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 t (cbrt.f64 (exp.f64 (fma.f64 (log.f64 l) -2 (log.f64 k))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.0b	(/.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))))
	25.5b	(/.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))))
	15.1b	(/.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))))
	50.6b	(/.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))))
	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))))
	18.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	15.0b	(/.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))))
	28.9b	(/.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))))
	19.0b	(/.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))))
	52.1b	(/.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))))
	23.6b	(/.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))))
	34.6b	(/.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))))
	29.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) l) (/.f64 1 l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 6216 to 3856 computations (38% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 k))
	0.6b	(cbrt.f64 l)
✓	1.5b	(.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k))
✓	12.1b	(.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)))

series427.0ms (2.8%)

Counts

3 → 84

Calls

3 calls:

174.0ms

(*.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)))

131.0ms

(cbrt.f64 (sin.f64 k))

122.0ms

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

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

202×	`add-sqr-sqrt_binary64`
193×	`log1p-expm1-u_binary64`
193×	`expm1-log1p-u_binary64`
189×	`add-cbrt-cube_binary64`
188×	`add-cube-cbrt_binary64`

Counts

3 → 65

Calls

3 calls:

82.0ms

(cbrt.f64 (sin.f64 k))

82.0ms

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

82.0ms

(*.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)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	69
1	417	61
2	4776	61
3	5034	61

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

801×	`times-frac_binary64`
608×	`associate-/l*_binary64`
491×	`associate-l_binary64`
351×	`associate-/r*_binary64`
291×	`fma-def_binary64`

Counts

149 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	2675
1	315	2675
2	1127	2463
3	5499	2463

prune375.0ms (2.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	142	8	150
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	148	22	170

Error

6.0b

Counts

170 → 22

Alt Table

Status	Error	Program
	15.1b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 k))))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	23.6b	(/.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))))
	13.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.6b	(/.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))))
	27.8b	(/.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))))))
	27.3b	(/.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))))
	39.5b	(/.f64 2 (fma.f64 173/2520 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 8)) (fma.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (.f64 l l)) (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))))))))))
	43.8b	(/.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))))
	32.6b	(/.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)))))
▶	10.5b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	15.0b	(/.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))))
	15.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 k))))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.5b	(/.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))))
	19.5b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 t (fma.f64 (cbrt.f64 (pow.f64 k 7)) -1/18 (cbrt.f64 k))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.1b	(/.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))))
	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))))
	15.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	52.1b	(/.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))))
	29.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) l) (/.f64 1 l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.0b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 t (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 k))))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.5b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.9b	(/.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))))

Compiler

Compiled 6575 to 3828 computations (41.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (sin.f64 k))
	0.6b	(cbrt.f64 l)
✓	3.9b	(.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
✓	17.6b	(cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

series995.0ms (6.4%)

Counts

2 → 60

Calls

2 calls:

933.0ms

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

61.0ms

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`prod-diff_binary64`
189×	`add-sqr-sqrt_binary64`
178×	`log1p-expm1-u_binary64`
178×	`expm1-log1p-u_binary64`
177×	`add-cube-cbrt_binary64`

Counts

2 → 53

Calls

2 calls:

75.0ms

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

75.0ms

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	384	50
2	4911	50
3	5442	50

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

321×	`cancel-sign-sub-inv_binary64`
256×	`fma-def_binary64`
210×	`unswap-sqr_binary64`
197×	`*-commutative_binary64`
189×	`associate-r_binary64`

Counts

113 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	5466
1	1010	5133
2	3486	5021
3	4992	5021

prune460.0ms (3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	183	11	194
Fresh	8	13	21
Picked	1	0	1
Done	0	0	0
Total	192	24	216

Error

4.7b

Counts

216 → 24

Alt Table

Status	Error	Program
	10.7b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3)) 3))
	10.9b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l))) 2)) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	10.5b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (*.f64 (cbrt.f64 (tan.f64 k)) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	13.4b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.6b	(/.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))))
	27.8b	(/.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))))))
	27.3b	(/.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))))
	59.8b	(/.f64 2 (pow.f64 (.f64 t (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 (cos.f64 k) (.f64 (pow.f64 t 2) (pow.f64 l 2))))) (*.f64 2 (log.f64 (/.f64 1 k))))))) 3))
	39.5b	(/.f64 2 (fma.f64 173/2520 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 8)) (fma.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (.f64 l l)) (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))))))))))
	43.8b	(/.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))))
	15.0b	(/.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))))
	34.3b	(/.f64 2 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) (cbrt.f64 l)) 2) 3))
	58.7b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 (sin.f64 k) (.f64 (cos.f64 k) (pow.f64 t 2)))) (*.f64 2 (log.f64 (/.f64 -1 k))))))) 3))
	15.0b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 t (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 k))))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	58.9b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 (sin.f64 k) (.f64 (cos.f64 k) (pow.f64 t 2)))) (*.f64 2 (log.f64 (/.f64 1 k))))))) 3))
	11.2b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 k))))) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 3))
	52.1b	(/.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))))
	15.1b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 (.f64 t (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 k))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 k))))) (cbrt.f64 l)) (cbrt.f64 l)) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.6b	(/.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)))))
	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))))
	24.1b	(/.f64 2 (pow.f64 (/.f64 (.f64 t (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (cbrt.f64 (/.f64 (*.f64 l l) (sin.f64 k)))) 3))
	24.4b	(/.f64 2 (pow.f64 (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 2 (/.f64 (sin.f64 k) (cos.f64 k))))) 3))
	10.4b	(/.f64 2 (pow.f64 (/.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (pow.f64 (cbrt.f64 l) 2)) 3))
	28.9b	(/.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))))

Compiler

Compiled 10541 to 6589 computations (37.5% saved)

regimes1.4s (8.9%)

Accuracy

Total 3.7b remaining (37.8%)

Threshold costs 0b (0%)

Counts

133 → 3

Compiler

Compiled 25705 to 19332 computations (24.8% saved)

bsearch256.0ms (1.7%)

Steps

Iters	Range		Point
10	1.5914660133441902e-125	8.0941463216733785e-115	2.2695840797082967e-123
8	-2.3051591832200574e-111	-1.1526871967168976e-114	-4.306372628244695e-114

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	139
1	58	139
2	58	139

end547.0ms (3.5%)

Compiler: Compiled 991 to 721 computations (27.2% saved)

Details

analyze2.7s (17.7%)

sample5.1s (33%)

simplify53.0ms (0.3%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series372.0ms (2.4%)

rewrite91.0ms (0.6%)

simplify125.0ms (0.8%)

prune349.0ms (2.3%)

localize20.0ms (0.1%)

series1.3s (8.4%)

rewrite88.0ms (0.6%)

simplify111.0ms (0.7%)

prune303.0ms (2%)

localize19.0ms (0.1%)

series427.0ms (2.8%)

rewrite84.0ms (0.5%)

simplify64.0ms (0.4%)

prune375.0ms (2.4%)

localize20.0ms (0.1%)

series995.0ms (6.4%)

rewrite77.0ms (0.5%)

simplify108.0ms (0.7%)

prune460.0ms (3%)

regimes1.4s (8.9%)

bsearch256.0ms (1.7%)

simplify3.0ms (0%)

end547.0ms (3.5%)

Profiling