Metrics for bug366, discussion (missed optimization)

analyze28.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	5
32%	25%	53.1%	0.1%	0%	21.9%	0%	6
55.8%	37.5%	29.7%	0.1%	0%	32.8%	0%	7
57.8%	37.5%	27.3%	0.1%	0%	35.1%	0%	8
74.2%	43.7%	15.2%	0.1%	0%	41%	0%	9
75.9%	43.7%	13.9%	0.1%	0%	42.3%	0%	10
85.9%	46.8%	7.7%	0.1%	0%	45.4%	0%	11
87%	46.8%	7%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample943.0ms (38.3%)

Results

820.0ms	8256×	body	256	valid
98.0ms	654×	body	256	invalid

Bogosity

preprocess141.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

4458×	`fma-def`
1962×	`associate--l+`
1530×	`associate--l-`
1000×	`distribute-lft-in`
828×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
1	61	92
2	142	92
3	374	92
4	978	92
5	1833	92
6	3019	92
7	3899	92
8	4697	92
9	5163	92
10	5268	92
11	5314	92
12	6480	92

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify152.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

2086×	`fma-def`
1384×	`distribute-lft-out`
996×	`distribute-lft-out--`
982×	`unsub-neg`
966×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	19	23
2	31	23
3	60	23
4	138	23
5	386	23
6	850	23
7	1719	23
8	3875	23
9	5538	23
10	6397	23
11	6766	23
12	6996	23
13	7110	23
14	7110	23

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))

eval1.0ms (0%)

Compiler: Compiled 26 to 14 computations (46.2% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

51.2%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
▶	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize27.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
1.0ms	a	@	-inf	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
1.0ms	b	@	inf	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
1.0ms	b	@	0	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
0.0ms	a	@	inf	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

rewrite70.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`prod-diff`
944×	`log-prod`
744×	`pow-prod-down`
576×	`fma-def`
486×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	23
2	2669	23

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Outputs
(+.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)
(.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 1)
(.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))
(.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6))
(.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/6) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)
(fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1660×	`fma-def`
1424×	`associate-/l*`
1296×	`associate-l`
968×	`associate-/r*`
706×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2120
1	570	1680
2	2532	1312

Stop Event

1×	node limit

Counts

58 → 85

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
a
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) a)
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2)) a)) a))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2)) a)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 -1/4 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
a
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) b) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) b) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b))))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (.f64 -1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))) 1)
(.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 1)
(.f64 1 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))))
(.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6))
(.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/6) (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/4) (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 3/2)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/4) 2)
(pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 1/2)
(fabs.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))))))
(cbrt.f64 (pow.f64 (fma.f64 a a (neg.f64 (*.f64 b b))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(exp.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (.f64 b b)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (.f64 b b))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))

Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 (sqrt.f64 -1) b (.f64 1/2 (.f64 (/.f64 (*.f64 0 b) (sqrt.f64 -1)) (/.f64 a b))))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
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(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1/2) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1) 1))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a a (neg.f64 (.f64 b b))) 1/6)) 3))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 1/3))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))) 2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a a (neg.f64 (*.f64 b b)))) 1) 1/2))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))))
(sqrt.f64 (fma.f64 a a (neg.f64 (*.f64 b b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)))

eval31.0ms (1.3%)

Compiler: Compiled 1590 to 950 computations (40.3% saved)

prune13.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	4	86

Accurracy

100.0%

Counts

86 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	98.7%	a
▶	99.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	98.7%	a

Compiler

Compiled 68 to 42 computations (38.2% saved)

localize45.0ms (1.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 b (/.f64 a b))
✓	100.0%	(sqrt.f64 (-.f64 a b))
✓	100.0%	(sqrt.f64 (+.f64 a b))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Compiler

Compiled 47 to 13 computations (72.3% saved)

series9.0ms (0.4%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(sqrt.f64 (+.f64 a b))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 a b))
1.0ms	a	@	0	(/.f64 b (/.f64 a b))
0.0ms	a	@	0	(sqrt.f64 (-.f64 a b))
0.0ms	b	@	0	(/.f64 b (/.f64 a b))

rewrite84.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`log-prod`
1140×	`prod-diff`
644×	`pow-exp`
636×	`fma-def`
466×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	264	58
2	3796	58

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 a b))
(sqrt.f64 (-.f64 a b))
(/.f64 b (/.f64 a b))

Outputs
(+.f64 0 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 3)
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 2)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) 3/2) (pow.f64 (+.f64 a b) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) 3/2) (pow.f64 (-.f64 a b) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 3))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(+.f64 0 (sqrt.f64 (+.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
(*.f64 (sqrt.f64 (+.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a b)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 a 3/2)) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a b)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a b)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 a b))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (+.f64 a b))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(+.f64 0 (sqrt.f64 (-.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) 1)
(*.f64 (sqrt.f64 (-.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (-.f64 a b) 1/4) (pow.f64 (-.f64 a b) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 a b)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (hypot.f64 a (hypot.f64 b (sqrt.f64 (*.f64 a b)))))
(pow.f64 (-.f64 a b) 1/2)
(pow.f64 (sqrt.f64 (-.f64 a b)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) 3)
(pow.f64 (pow.f64 (-.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 a b) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 a b)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 a b)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 a b))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 a b))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(+.f64 0 (*.f64 b (/.f64 b a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))) (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 b a)))) 1)
(*.f64 b (/.f64 b a))
(.f64 (.f64 b (/.f64 b a)) 1)
(.f64 1 (.f64 b (/.f64 b a)))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 b a)))
(.f64 (cbrt.f64 (.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 b a)))
(.f64 (sqrt.f64 (.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (.f64 b (/.f64 b a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b 1) (/.f64 b a))
(.f64 (.f64 (/.f64 b a) 1) b)
(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))
(pow.f64 (*.f64 b (/.f64 b a)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)
(pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) 1) -1)
(neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 b a)))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 a b) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))
(exp.f64 (log.f64 (*.f64 b (/.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b (/.f64 b a))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 b (/.f64 b a))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 b (/.f64 b a)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 b (/.f64 b a)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 b (/.f64 b a)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b b))) -1))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))

simplify93.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1062×	`unswap-sqr`
598×	`log-prod`
488×	`fma-def`
446×	`times-frac`
430×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	5498
1	1272	4906
2	4935	4450

Stop Event

1×	node limit

Counts

210 → 249

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
a
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) a)
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2)) a)) a))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2)) a)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 -1/4 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
a
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) b) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) b) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b))))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (.f64 -1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))))))
(sqrt.f64 b)
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (sqrt.f64 b) (.f64 1/16 (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))) (+.f64 (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)))
(+.f64 (sqrt.f64 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (pow.f64 b 3))))))
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(+.f64 0 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 3)
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 2)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) 3/2) (pow.f64 (+.f64 a b) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) 3/2) (pow.f64 (-.f64 a b) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 3))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(+.f64 0 (sqrt.f64 (+.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
(*.f64 (sqrt.f64 (+.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a b)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 a 3/2)) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a b)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a b)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 a b))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (+.f64 a b))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(+.f64 0 (sqrt.f64 (-.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) 1)
(*.f64 (sqrt.f64 (-.f64 a b)) 1)
(*.f64 1 (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (-.f64 a b) 1/4) (pow.f64 (-.f64 a b) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 a b)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (hypot.f64 a (hypot.f64 b (sqrt.f64 (*.f64 a b)))))
(pow.f64 (-.f64 a b) 1/2)
(pow.f64 (sqrt.f64 (-.f64 a b)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) 3)
(pow.f64 (pow.f64 (-.f64 a b) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 a b) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 a b)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 a b)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 a b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (-.f64 a b))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 a b))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(+.f64 0 (*.f64 b (/.f64 b a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))) (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 b a)))) 1)
(*.f64 b (/.f64 b a))
(.f64 (.f64 b (/.f64 b a)) 1)
(.f64 1 (.f64 b (/.f64 b a)))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 b a)))
(.f64 (cbrt.f64 (.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 b a)))
(.f64 (sqrt.f64 (.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))
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(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))
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(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
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(pow.f64 (/.f64 a (*.f64 b b)) -1)
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) 1) -1)
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(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 b a)))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
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(exp.f64 (.f64 (log.f64 (.f64 b (/.f64 b a))) 1))
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 b (/.f64 b a)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 b (/.f64 b a)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 b (/.f64 b a)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b b))) -1))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))

Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 (sqrt.f64 -1) b (.f64 1/2 (/.f64 (/.f64 (.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b)))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b)))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (.f64 (sqrt.f64 -1) b) (.f64 a a))) (fma.f64 (sqrt.f64 -1) b (.f64 1/2 (/.f64 (/.f64 (.f64 (.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (pow.f64 a 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (.f64 (sqrt.f64 -1) b))) 2)) (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (*.f64 (sqrt.f64 -1) b))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (.f64 (sqrt.f64 -1) b) (.f64 a a))) (fma.f64 (sqrt.f64 -1) b (.f64 1/2 (/.f64 (/.f64 (.f64 (.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
a
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) a)
a
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2)) a)) a))
(fma.f64 1/2 (.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (.f64 b b)) (pow.f64 (.f64 1/2 (.f64 0 b)) 2)) a) a))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) a) a) 0)
(fma.f64 1/2 (neg.f64 (/.f64 b (/.f64 a b))) a)
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2)) a)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (.f64 -1 (pow.f64 b 2)) (pow.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) 2))) (pow.f64 a 2))) a)))
(fma.f64 1/2 (.f64 0 b) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (.f64 b b)) (pow.f64 (.f64 1/2 (.f64 0 b)) 2)) a) a))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 b b) 0) a) a) 0)
(fma.f64 1/2 (neg.f64 (/.f64 b (/.f64 a b))) a)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a))
a
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
a
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))))
(fma.f64 1/2 (.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(+.f64 (.f64 1/2 (+.f64 b (.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2)) a)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (.f64 -1/4 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (-.f64 (pow.f64 b 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 b (.f64 -1 b)) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))
(fma.f64 1/2 (.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
a
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (*.f64 -1 a)) b) a)) a)
a
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) b) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a))
(fma.f64 1/2 (.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) a)) 2) 1) (pow.f64 b 3))) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) b) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (*.f64 -1 a)) a)) 2)) (pow.f64 b 2)) a)) a)))
(fma.f64 1/2 (.f64 0 b) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (sqrt.f64 -1)) 2)) a) (neg.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) a) (.f64 a 1))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (.f64 1/2 (/.f64 (/.f64 (.f64 (*.f64 0 b) a) (sqrt.f64 -1)) b)))
(fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b))
(fma.f64 (sqrt.f64 -1) b 0)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (.f64 (sqrt.f64 -1) b) (.f64 a a))) (fma.f64 (sqrt.f64 -1) b (.f64 1/2 (/.f64 (/.f64 (.f64 (.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 1/2 (.f64 0 b)) (.f64 (sqrt.f64 -1) b)) 2)) (/.f64 (.f64 (sqrt.f64 -1) b) (.f64 a a))) (fma.f64 (sqrt.f64 -1) b (.f64 1/2 (/.f64 (/.f64 (.f64 (.f64 0 b) a) (sqrt.f64 -1)) b))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 0 (sqrt.f64 -1)) b) 2)) (sqrt.f64 -1)) (/.f64 a (/.f64 b a))) (fma.f64 (sqrt.f64 -1) b (/.f64 (/.f64 0 (sqrt.f64 -1)) b)))
(fma.f64 1/2 (/.f64 (/.f64 a (/.f64 b a)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) b))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(neg.f64 (*.f64 (sqrt.f64 -1) b))
(*.f64 (sqrt.f64 -1) (neg.f64 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))))
(neg.f64 (*.f64 (sqrt.f64 -1) b))
(*.f64 (sqrt.f64 -1) (neg.f64 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1)))))
(fma.f64 -1 (.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 1/2 (/.f64 (.f64 0 a) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b)) (.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) b)) (/.f64 0 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (.f64 (/.f64 -1/2 b) (/.f64 (.f64 a a) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) (.f64 -1/4 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (-.f64 (pow.f64 a 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 a (.f64 -1 a)) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 1/2 (/.f64 (.f64 0 a) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) b)) (.f64 1/2 (/.f64 (*.f64 0 a) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (.f64 a a) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) b)) (/.f64 0 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(-.f64 (.f64 (/.f64 -1/2 b) (/.f64 (.f64 a a) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) b))
(sqrt.f64 b)
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b))
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 b))) (sqrt.f64 b))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(fma.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 -1/8 (.f64 (*.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 b)))
(fma.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 -1/8 (.f64 a (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (sqrt.f64 b)))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (sqrt.f64 b) (.f64 1/16 (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))))
(fma.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b))) (+.f64 (fma.f64 -1/8 (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 b)) (.f64 (*.f64 1/16 (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))
(fma.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 -1/8 (.f64 a (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 1/16 (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (sqrt.f64 b))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)))
(+.f64 (sqrt.f64 a) (.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a)))))
(fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 a) (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (.f64 -1/8 (.f64 (.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(+.f64 (sqrt.f64 a) (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (.f64 (.f64 b b) (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(+.f64 (sqrt.f64 a) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (pow.f64 b 3))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))
(+.f64 (sqrt.f64 a) (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (fma.f64 1/16 (.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 a 5)))) (.f64 -1/8 (.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 a 3))))))))
(+.f64 (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (sqrt.f64 a)) (fma.f64 -1/8 (.f64 b (.f64 b (sqrt.f64 (/.f64 1 (pow.f64 a 3))))) (.f64 (pow.f64 b 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 a 5)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (/.f64 (.f64 (.f64 a a) -1/8) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))) (+.f64 (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 b)) (/.f64 a (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (/.f64 (.f64 (*.f64 a a) -1/8) (neg.f64 (sqrt.f64 -1)))))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)))
(+.f64 (sqrt.f64 a) (.f64 -1/2 (.f64 b (sqrt.f64 (/.f64 1 a)))))
(fma.f64 -1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2)))))
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(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (sqrt.f64 (.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (/.f64 a b))))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (cbrt.f64 (/.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 a b)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (.f64 b (/.f64 b a))))
(.f64 (cbrt.f64 (.f64 b (/.f64 b a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(*.f64 (cbrt.f64 (/.f64 b (/.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(/.f64 (/.f64 b (cbrt.f64 (/.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 a b)) 2))
(*.f64 (/.f64 b 1) (/.f64 b a))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (.f64 (/.f64 b a) 1) b)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (/.f64 a b))))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(pow.f64 (*.f64 b (/.f64 b a)) 1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) 1) -1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (/.f64 a b))))
(/.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 b a)))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (/.f64 a b) 3)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (log.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (.f64 (log.f64 (.f64 b (/.f64 b a))) 1))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 b (/.f64 b a))) 1) 1))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 b (/.f64 b a)))) 3))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 b (/.f64 b a)) 3)) 1/3))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 b (/.f64 b a)))) 2))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b b))) -1))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))

eval69.0ms (2.8%)

Compiler: Compiled 4547 to 2325 computations (48.9% saved)

prune34.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	249	4	253

Accurracy

100.0%

Counts

253 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	98.7%	a
✓	99.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	98.7%	a

Compiler

Compiled 68 to 42 computations (38.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	98.7%	a
✓	99.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	98.7%	a

Compiler

Compiled 68 to 42 computations (38.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	51.2%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	98.7%	a

Compiler

Compiled 70 to 38 computations (45.7% saved)

regimes35.0ms (1.4%)

Counts

5 → 1

Calls

Call 1

Inputs
a
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Outputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Calls

6 calls:

17.0ms	a
4.0ms	b
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`b`
99.3%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.3%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.3%	1	`(*.f64 a a)`
99.3%	1	`(*.f64 b b)`

Compiler

Compiled 71 to 38 computations (46.5% saved)

regimes22.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

Inputs
a
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)

Outputs
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)

Calls

6 calls:

6.0ms	a
3.0ms	b
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`b`
99.3%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.3%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.3%	1	`(*.f64 a a)`
99.3%	1	`(*.f64 b b)`

Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes18.0ms (0.7%)

Accuracy

Total -31.2b remaining (-3693.8%)

Threshold costs -31.2b (-3693.8%)

Counts

3 → 1

Calls

Call 1

Inputs
a
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Outputs
a

Calls

6 calls:

3.0ms	b
3.0ms	a
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
98.7%	1	`a`
98.7%	1	`b`
98.7%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
98.7%	1	`(-.f64 (.f64 a a) (.f64 b b))`
98.7%	1	`(*.f64 a a)`
98.7%	1	`(*.f64 b b)`

Compiler

Compiled 54 to 31 computations (42.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	19	49
2	24	49
3	26	49
4	27	49

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
a

Outputs
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
a

Compiler

Compiled 24 to 15 computations (37.5% saved)

soundness534.0ms (21.7%)

Rules

2086×	`fma-def`
1660×	`fma-def`
1424×	`associate-/l*`
1384×	`distribute-lft-out`
1296×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	19	23
2	31	23
3	60	23
4	138	23
5	386	23
6	850	23
7	1719	23
8	3875	23
9	5538	23
10	6397	23
11	6766	23
12	6996	23
13	7110	23
14	7110	23
0	9	23
1	193	23
2	2669	23
0	197	2120
1	570	1680
2	2532	1312

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 45 to 21 computations (53.3% saved)

end0.0ms (0%)

preprocess41.0ms (1.7%)

Remove: (abs b)
Compiler: Compiled 156 to 94 computations (39.7% saved)

analyze28.0ms (1.2%)

sample943.0ms (38.3%)

preprocess141.0ms (5.7%)

simplify152.0ms (6.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize27.0ms (1.1%)

series4.0ms (0.2%)

rewrite70.0ms (2.9%)

simplify53.0ms (2.1%)

eval31.0ms (1.3%)

prune13.0ms (0.5%)

localize45.0ms (1.8%)

series9.0ms (0.4%)

rewrite84.0ms (3.4%)

simplify93.0ms (3.8%)

eval69.0ms (2.8%)

prune34.0ms (1.4%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes35.0ms (1.4%)

regimes22.0ms (0.9%)

regimes18.0ms (0.7%)

simplify6.0ms (0.2%)

soundness534.0ms (21.7%)

end0.0ms (0%)

preprocess41.0ms (1.7%)

Profiling