Details

analyze123.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
6.2%	31.2%	62.5%	6
9.4%	28.1%	62.5%	7
14%	17.2%	68.8%	8
14.8%	16.4%	68.8%	9
17.6%	9.8%	72.7%	10
18.1%	8.8%	73.1%	11
19.6%	5.2%	75.2%	12
20%	4.5%	75.5%	13
20.7%	2.7%	76.6%	14

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.3s (23.9%)

Symmetry

(sort a rand)

Results

1.1s	8256×	body	128	valid
68.0ms	532×	body	128	invalid

Compiler

Compiled 68 to 59 computations (13.2% saved)

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-neg_binary64`
258×	`rules-11_binary64`
226×	`fma-def_binary64`
211×	`rules-40_binary64`
211×	`rules-41_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	85	19
2	242	19
3	854	19
4	52	19

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

56.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	56.5b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
	56.5b	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

Compiler

Compiled 109 to 91 computations (16.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 9 -3)
✓	0.0b	(sqrt.f64 (fma.f64 a 9 -3))
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.1b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))

series68.0ms (1.3%)

Counts

4 → 50

Calls

4 calls:

31.0ms	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
25.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
9.0ms	(sqrt.f64 (fma.f64 a 9 -3))
1.0ms	(fma.f64 a 9 -3)

rewrite86.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

349×	`prod-diff_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
191×	`egg-rr`
127×	`add-sqr-sqrt_binary64`

Counts

4 → 191

Calls

4 calls:

80.0ms	(fma.f64 a 9 -3)
80.0ms	(sqrt.f64 (fma.f64 a 9 -3))
80.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
80.0ms	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	310	41
2	3550	41
3	4834	41
0	0	0
1	0	0

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

242×	`fma-def_binary64`
227×	`rules-7-rev_binary64`
214×	`fma-neg_binary64`
169×	`rules-40_binary64`
169×	`rules-41_binary64`

Counts

241 → 226

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1065
1	757	1065
2	3734	1065

prune217.0ms (4.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	214	12	226
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	216	12	228

Error

54.6b

Counts

228 → 12

Alt Table

Status	Error	Program
	56.6b	(+.f64 (fma.f64 (cbrt.f64 (-.f64 a 1/3)) (.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (pow.f64 (cbrt.f64 (-.f64 a 1/3)) 2)) (neg.f64 (.f64 0 (-.f64 a 1/3)))) (fma.f64 0 (-.f64 a 1/3) (*.f64 0 (-.f64 a 1/3))))
	57.1b	(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (-.f64 a 1/3))))
	56.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	56.8b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))
▶	55.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (fma.f64 a 9 -3))))))
	61.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))
	56.5b	(/.f64 (+.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (-.f64 a 1/3)))
	56.5b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (/.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) (+.f64 (fma.f64 a 9 -3) (+.f64 0 (.f64 (sqrt.f64 (fma.f64 a 9 -3)) 0)))))))
	57.1b	(expm1.f64 (log1p.f64 (*.f64 (-.f64 a 1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1))))
	57.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))
	61.4b	a
	62.1b	(pow.f64 (pow.f64 (*.f64 (-.f64 a 1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)) 3) 1/3)

Compiler

Compiled 6212 to 5000 computations (19.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 a 9 -3)
✓	0.1b	(sqrt.f64 (fabs.f64 (fma.f64 a 9 -3)))
✓	0.2b	(/.f64 rand (sqrt.f64 (fabs.f64 (fma.f64 a 9 -3))))
✓	0.3b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (fma.f64 a 9 -3))))))

series62.0ms (1.2%)

Counts

3 → 48

Calls

3 calls:

31.0ms	(/.f64 rand (sqrt.f64 (fabs.f64 (fma.f64 a 9 -3))))
28.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (fma.f64 a 9 -3))))))
3.0ms	(sqrt.f64 (fabs.f64 (fma.f64 a 9 -3)))

rewrite82.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

349×	`prod-diff_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`
144×	`egg-rr`
137×	`add-sqr-sqrt_binary64`

Counts

3 → 144

Calls

3 calls:

78.0ms	(sqrt.f64 (fabs.f64 (fma.f64 a 9 -3)))
78.0ms	(/.f64 rand (sqrt.f64 (fabs.f64 (fma.f64 a 9 -3))))
78.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (fma.f64 a 9 -3))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	333	36
2	3567	36
3	4836	36
0	0	0
1	0	0

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

861×	`rules-41_binary64`
861×	`rules-42_binary64`
861×	`rules-43_binary64`
735×	`rules-21_binary64`
688×	`rules-40_binary64`

Counts

192 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	1225
1	164	949
2	588	859
3	2959	859
4	4322	859
5	5236	859

prune179.0ms (3.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	200	6	206
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	202	16	218

Error

54.2b

Counts

218 → 16

Alt Table

Status	Error	Program
	61.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))
	56.9b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3)))))))
	57.2b	(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) (.f64 a rand)) a) (+.f64 1/3 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand))))
	56.5b	(/.f64 (+.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (-.f64 a 1/3)))
	63.2b	(*.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
	56.6b	(+.f64 (fma.f64 (cbrt.f64 (-.f64 a 1/3)) (.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (pow.f64 (cbrt.f64 (-.f64 a 1/3)) 2)) (neg.f64 (.f64 0 (-.f64 a 1/3)))) (fma.f64 0 (-.f64 a 1/3) (*.f64 0 (-.f64 a 1/3))))
	57.1b	(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (-.f64 a 1/3))))
	56.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	56.8b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))
	61.4b	a
▶	54.7b	(*.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
	55.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3))))))
	62.1b	(pow.f64 (pow.f64 (*.f64 (-.f64 a 1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)) 3) 1/3)
	57.1b	(expm1.f64 (log1p.f64 (*.f64 (-.f64 a 1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1))))
	57.0b	(*.f64 (-.f64 a 1/3) (+.f64 1 (expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))
	55.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3))))))))

Compiler

Compiled 5708 to 4637 computations (18.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3))))
✓	0.1b	(/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))
✓	0.2b	(*.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
✓	0.3b	(fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1)

series75.0ms (1.4%)

Counts

4 → 48

Calls

4 calls:

30.0ms	(*.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
22.0ms	(fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1)
14.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3))))
8.0ms	(/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))

rewrite86.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

696×	`fma-neg_binary64`
386×	`fma-def_binary64`
279×	`egg-rr`
185×	`prod-diff_binary64`
178×	`expm1-udef_binary64`

Counts

4 → 279

Calls

4 calls:

81.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3))))
81.0ms	(/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))
81.0ms	(*.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
81.0ms	(fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	272	43
2	2784	43
3	4924	43
0	0	0
1	0	0

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1168×	`rules-42_binary64`
1051×	`rules-43_binary64`
692×	`fma-neg_binary64`
565×	`fma-def_binary64`
322×	`rules-11_binary64`

Counts

327 → 287

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	864
1	98	768
2	290	768
3	1055	768
4	3334	768
5	32	768

prune240.0ms (4.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	278	9	287
Fresh	4	11	15
Picked	0	1	1
Done	0	0	0
Total	282	21	303

Error

54.1b

Counts

303 → 21

Alt Table

Status	Error	Program
	56.5b	(/.f64 (+.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (-.f64 a 1/3)))
	63.2b	(*.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
	57.2b	(.f64 a (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))
	58.2b	(.f64 a (fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2) (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2)))) rand 1))
	56.6b	(+.f64 (fma.f64 (cbrt.f64 (-.f64 a 1/3)) (.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (pow.f64 (cbrt.f64 (-.f64 a 1/3)) 2)) (neg.f64 (.f64 0 (-.f64 a 1/3)))) (fma.f64 0 (-.f64 a 1/3) (*.f64 0 (-.f64 a 1/3))))
	57.1b	(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (-.f64 a 1/3))))
	61.0b	(*.f64 a (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3) 1/3))
	56.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	56.8b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))
	56.5b	(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) (.f64 a rand)) a)
	61.4b	a
✓	54.7b	(*.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
	55.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3))))))
	62.2b	(*.f64 a (fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1) rand 1))
	62.1b	(pow.f64 (pow.f64 (*.f64 (-.f64 a 1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)) 3) 1/3)
	56.9b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3)))))))
▶	54.8b	(*.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) rand 1))
	57.2b	(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))
	62.2b	(*.f64 a (fma.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) rand 1))
	55.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3))))))))
	63.3b	(log.f64 (pow.f64 (exp.f64 a) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))

Compiler

Compiled 7565 to 5953 computations (21.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (fma.f64 a 9 -3) -2)
✓	0.2b	(*.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) rand 1))
✓	0.3b	(fma.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) rand 1)
✓	6.1b	(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))

series60.0ms (1.1%)

Counts

4 → 60

Calls

4 calls:

32.0ms	(*.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) rand 1))
20.0ms	(fma.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) rand 1)
5.0ms	(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))
3.0ms	(pow.f64 (fma.f64 a 9 -3) -2)

rewrite124.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

856×	`fma-neg_binary64`
277×	`egg-rr`
208×	`prod-diff_binary64`
202×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`

Counts

4 → 277

Calls

4 calls:

118.0ms	(pow.f64 (fma.f64 a 9 -3) -2)
118.0ms	(*.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) rand 1))
118.0ms	(fma.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) rand 1)
118.0ms	(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	297	43
2	3151	43
3	4991	43
4	4832	43
0	0	0
1	0	0

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

337×	`fma-def_binary64`
259×	`fma-neg_binary64`
257×	`rules-7-rev_binary64`
242×	`rules-13_binary64`
217×	`rules-21_binary64`

Counts

337 → 328

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1159
1	918	1159
2	4510	1159

prune300.0ms (5.7%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	319	9	328
Fresh	1	18	19
Picked	1	0	1
Done	0	1	1
Total	321	28	349

Error

53.4b

Counts

349 → 28

Alt Table

Status	Error	Program
	58.0b	(.f64 a (fma.f64 (sqrt.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) -3) (+.f64 (pow.f64 (fma.f64 a 9 -3) -2) (+.f64 0 (.f64 (/.f64 1 (fma.f64 a 9 -3)) 0))))) rand 1))
	55.8b	(*.f64 a (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))
	57.4b	(*.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -4)))) rand 1))
	56.9b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3)))))))
	55.2b	(.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 1/243 (pow.f64 a 4)) (+.f64 (/.f64 1/81 (.f64 a a)) (/.f64 2/243 (pow.f64 a 3)))))) rand 1))
	56.5b	(/.f64 (+.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (-.f64 a 1/3)))
	63.2b	(*.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
	57.2b	(.f64 a (exp.f64 (log1p.f64 (.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))
	55.4b	(.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 1/81 (.f64 a a)) (/.f64 2/243 (pow.f64 a 3))))) rand 1))
	56.6b	(+.f64 (fma.f64 (cbrt.f64 (-.f64 a 1/3)) (.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (pow.f64 (cbrt.f64 (-.f64 a 1/3)) 2)) (neg.f64 (.f64 0 (-.f64 a 1/3)))) (fma.f64 0 (-.f64 a 1/3) (*.f64 0 (-.f64 a 1/3))))
	57.1b	(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (-.f64 a 1/3))))
	61.0b	(*.f64 a (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3) 1/3))
	56.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 a)))))
	56.8b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))
	56.5b	(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) (.f64 a rand)) a)
	61.4b	a
✓	54.7b	(*.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (fma.f64 a 9 -3)))) rand 1))
	55.6b	(.f64 a (fma.f64 (sqrt.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/27 (.f64 a a)))) rand 1))
	61.1b	(*.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -2))))) rand 1))
	55.4b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3))))))
	55.6b	(.f64 a (fma.f64 (sqrt.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))) rand 1))
	62.2b	(*.f64 a (fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1) rand 1))
	62.1b	(pow.f64 (pow.f64 (*.f64 (-.f64 a 1/3) (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)) 3) 1/3)
	54.8b	(.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -2)))) rand 1))
	57.2b	(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))
	62.2b	(*.f64 a (fma.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) rand 1))
	55.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fabs.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3))))))))
	63.3b	(log.f64 (pow.f64 (exp.f64 a) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))

Compiler

Compiled 8853 to 7026 computations (20.6% saved)

regimes1.4s (26.6%)

Accuracy

Total 1.7b remaining (98.8%)

Threshold costs 0b (0%)

Counts

270 → 1

Compiler

Compiled 21190 to 17307 computations (18.3% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	14	19
2	13	19

end608.0ms (11.5%)

Remove: (sort a rand)
Compiler: Compiled 576 to 465 computations (19.3% saved)

Details

analyze123.0ms (2.3%)

sample1.3s (23.9%)

simplify31.0ms (0.6%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

series68.0ms (1.3%)

rewrite86.0ms (1.6%)

simplify37.0ms (0.7%)

prune217.0ms (4.1%)

localize13.0ms (0.2%)

series62.0ms (1.2%)

rewrite82.0ms (1.5%)

simplify83.0ms (1.6%)

prune179.0ms (3.4%)

localize8.0ms (0.2%)

series75.0ms (1.4%)

rewrite86.0ms (1.6%)

simplify78.0ms (1.5%)

prune240.0ms (4.5%)

localize9.0ms (0.2%)

series60.0ms (1.1%)

rewrite124.0ms (2.3%)

simplify45.0ms (0.8%)

prune300.0ms (5.7%)

regimes1.4s (26.6%)

simplify1.0ms (0%)

end608.0ms (11.5%)

Profiling