Details

analyze978.0ms (13.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	199.8%	-99.8%	0%	0%	0%	1
0%	0%	399.6%	-299.6%	0%	0%	0%	2
0%	0%	799.2%	-699.2%	0%	0%	0%	3
0%	0%	1598.4%	-1498.4%	0%	0%	0%	4
0%	0%	3196.9%	-3096.9%	0%	0%	0%	5
0%	0%	6393.8%	-6293.8%	0%	0%	0%	6
0%	0%	12787.5%	-12687.5%	0%	0%	0%	7
0%	0%	25575%	-25475%	0%	0%	0%	8
0%	0%	51150%	-51050%	0%	0%	0%	9
0%	0%	102300%	-102200%	0%	0%	0%	10
0%	0%	204600%	-204500%	0%	0%	0%	11
0%	0%	409200.1%	-409100.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample3.7s (49.4%)

Results

1.1s	8172×	body	256	invalid
869.0ms	2591×	body	2048	valid
860.0ms	2103×	body	4096	valid
466.0ms	1654×	body	1024	valid
196.0ms	927×	body	512	valid
136.0ms	981×	body	256	valid

Bogosity

preprocess168.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

2428×	`fma-def`
1134×	`sub-neg`
988×	`distribute-rgt-in`
972×	`distribute-lft-in`
832×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	30	46
2	51	46
3	107	46
4	279	46
5	816	46
6	2074	46
7	3818	46
8	5477	46
9	6097	46
10	6210	46
11	6324	46
12	6404	46
13	6404	46
14	7785	46
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify161.0ms (2.2%)

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%)

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

55.8%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
▶	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize122.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.1%)

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)))
1.0ms	a	@	inf	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

rewrite68.0ms (0.9%)

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))))))

simplify59.0ms (0.8%)

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)))))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (.f64 0 b) (.f64 (sqrt.f64 -1) b))) 2)) (sqrt.f64 -1)) (/.f64 (.f64 a a) b)) (fma.f64 (sqrt.f64 -1) b (.f64 1/2 (.f64 (/.f64 (.f64 0 b) (sqrt.f64 -1)) (/.f64 a 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)))

eval28.0ms (0.4%)

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

prune49.0ms (0.7%)

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

75.9%

Counts

86 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.9%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	47.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	47.6%	a
▶	47.9%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	47.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	47.6%	a

Compiler

Compiled 68 to 42 computations (38.2% saved)

localize157.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 b (/.f64 a b))
✓	100.0%	(sqrt.f64 (-.f64 a b))
✓	100.0%	(sqrt.f64 (+.f64 a b))
✓	99.7%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Compiler

Compiled 47 to 13 computations (72.3% saved)

series11.0ms (0.1%)

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	b	@	inf	(sqrt.f64 (+.f64 a b))
1.0ms	a	@	0	(sqrt.f64 (-.f64 a b))
1.0ms	b	@	0	(/.f64 b (/.f64 a b))

rewrite96.0ms (1.3%)

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))))

simplify153.0ms (2.1%)

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))

eval75.0ms (1%)

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

prune38.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	248	5	253

Accurracy

75.9%

Counts

253 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	46.8%	(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))
✓	47.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	47.6%	a
✓	47.9%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	46.8%	(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))
✓	47.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	47.6%	a

Compiler

Compiled 96 to 62 computations (35.4% saved)

localize138.0ms (1.9%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (-.f64 a b))
✓	99.7%	(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))
✓	99.7%	(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)

Compiler

Compiled 41 to 19 computations (53.7% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
1.0ms	b	@	-inf	(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
1.0ms	a	@	-inf	(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
1.0ms	b	@	0	(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
1.0ms	b	@	inf	(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`log-prod`
1068×	`prod-diff`
632×	`pow-exp`
630×	`pow-prod-up`
614×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	284	34
2	3488	34

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 a b) 1/4) 2)
(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))

Outputs
(+.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 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(*.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) 1/8) (pow.f64 (+.f64 a b) 3/8))
(*.f64 (pow.f64 (+.f64 a b) 3/8) (pow.f64 (+.f64 a b) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (sqrt.f64 (cbrt.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 (pow.f64 (sqrt.f64 (+.f64 a b)) 5/6) (cbrt.f64 (pow.f64 (+.f64 a b) 1/4)))
(/.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)))))
(sqrt.f64 (+.f64 a b))
(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 b))
(hypot.f64 (sqrt.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 (*.f64 1/4 (log.f64 (+.f64 a b))) 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 2 (log.f64 (+.f64 a b))) 1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 3/2)) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(+.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 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 2)
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/2)
(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 (-.f64 (.f64 a a) (.f64 b b)) 3/2))
(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 (pow.f64 (-.f64 (.f64 a a) (*.f64 b b)) 3/2)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 2))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))

simplify131.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1094×	`distribute-lft-in`
1084×	`distribute-rgt-in`
760×	`fma-def`
560×	`associate-r`
472×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	5469
1	1265	4805
2	5108	4147

Stop Event

1×	node limit

Counts

107 → 179

Calls

Call 1

Inputs
(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 (pow.f64 a 2) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (sqrt.f64 b)))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (sqrt.f64 b))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2))))) (+.f64 (sqrt.f64 a) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (.f64 b (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2)))))) (+.f64 (sqrt.f64 a) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (+.f64 (.f64 1/384 (pow.f64 b 3)) (+.f64 (.f64 1/12 (pow.f64 b 3)) (.f64 -1/32 (pow.f64 b 3)))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 1/2 (/.f64 (.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 b (.f64 (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (.f64 2 (.f64 (+.f64 (.f64 1/32 (pow.f64 b 3)) (+.f64 (.f64 -1/384 (pow.f64 b 3)) (.f64 -1/12 (pow.f64 b 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (pow.f64 a 3)))))))
(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 (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (*.f64 -3/16 (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 (+.f64 (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 a 5)))) (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))))) (pow.f64 b 3)) (.f64 (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 a 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 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (.f64 1/32 (pow.f64 a 2))))) (+.f64 (sqrt.f64 b) (.f64 1/16 (.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (.f64 1/32 (pow.f64 a 2))))) (+.f64 (sqrt.f64 b) (+.f64 (.f64 1/2 (.f64 (.f64 a (+.f64 (.f64 -1/8 (pow.f64 a 2)) (.f64 1/32 (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (+.f64 (.f64 -1/32 (pow.f64 a 3)) (+.f64 (.f64 1/12 (pow.f64 a 3)) (.f64 1/384 (pow.f64 a 3)))))) (.f64 1/16 (.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (.f64 1/2 (/.f64 (.f64 a (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)) b)))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)) b)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)) (pow.f64 b 2))) (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (.f64 1/32 (pow.f64 a 2)))) (pow.f64 b 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/12 (pow.f64 a 3)) (+.f64 (.f64 1/32 (pow.f64 a 3)) (.f64 -1/384 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2))) (.f64 -1/2 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (.f64 1/32 (pow.f64 a 2))))))) (pow.f64 b 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)) b)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)) (pow.f64 b 2))) (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (*.f64 1/32 (pow.f64 a 2)))) (pow.f64 b 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 (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 (+.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 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(*.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) 1/8) (pow.f64 (+.f64 a b) 3/8))
(*.f64 (pow.f64 (+.f64 a b) 3/8) (pow.f64 (+.f64 a b) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (sqrt.f64 (cbrt.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 (pow.f64 (sqrt.f64 (+.f64 a b)) 5/6) (cbrt.f64 (pow.f64 (+.f64 a b) 1/4)))
(/.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)))))
(sqrt.f64 (+.f64 a b))
(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 b))
(hypot.f64 (sqrt.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 (*.f64 1/4 (log.f64 (+.f64 a b))) 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 2 (log.f64 (+.f64 a b))) 1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 3/2)) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(+.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 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 2)
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/2)
(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 (-.f64 (.f64 a a) (.f64 b b)) 3/2))
(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 (pow.f64 (-.f64 (.f64 a a) (*.f64 b b)) 3/2)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 2))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))

Outputs
(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 (pow.f64 a 2) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (sqrt.f64 b)))
(fma.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 (.f64 a a) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) -1/8) (sqrt.f64 b)))
(+.f64 (.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (sqrt.f64 b))))
(fma.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 (pow.f64 a 3) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) 1/16) (fma.f64 (.f64 a a) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) -1/8) (sqrt.f64 b))))
(fma.f64 1/2 (.f64 a (sqrt.f64 (/.f64 1 b))) (fma.f64 (pow.f64 a 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (fma.f64 (.f64 a a) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) -1/8) (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 (sqrt.f64 (/.f64 1 a))) b))
(fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 a))) (sqrt.f64 a))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2))))) (+.f64 (sqrt.f64 a) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (.f64 (.f64 b b) -3/32)) (+.f64 (sqrt.f64 a) (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (*.f64 b b))))))
(+.f64 (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (.f64 1/16 (.f64 b b)))) (fma.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (.f64 b (*.f64 b -3/32))) (sqrt.f64 a)))
(+.f64 (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (sqrt.f64 a)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/16 (.f64 b b)) (.f64 (.f64 b (*.f64 b -3/32)) 2))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (.f64 b (+.f64 (.f64 1/32 (pow.f64 b 2)) (.f64 -1/8 (pow.f64 b 2)))))) (+.f64 (sqrt.f64 a) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 a)) b)) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (+.f64 (.f64 1/384 (pow.f64 b 3)) (+.f64 (.f64 1/12 (pow.f64 b 3)) (.f64 -1/32 (pow.f64 b 3)))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (.f64 (.f64 b b) -3/32)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (.f64 b (.f64 (.f64 b b) -3/32))) (+.f64 (sqrt.f64 a) (fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 a))) (fma.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (fma.f64 1/384 (pow.f64 b 3) (.f64 (pow.f64 b 3) 5/96))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (*.f64 b b))))))))
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(sqrt.f64 b)
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(+.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 b (sqrt.f64 -1)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 1/2 (/.f64 (.f64 0 a) (sqrt.f64 -1))) 2)) (.f64 b (sqrt.f64 -1))) (.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 b (sqrt.f64 -1))) (/.f64 0 (sqrt.f64 -1))) (*.f64 b (sqrt.f64 -1)))
(-.f64 (.f64 -1/2 (.f64 (/.f64 a b) (/.f64 a (sqrt.f64 -1)))) (*.f64 b (sqrt.f64 -1)))
(+.f64 0 (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(+.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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) 1)
(sqrt.f64 (+.f64 b a))
(*.f64 (pow.f64 (+.f64 a b) 1/4) (pow.f64 (+.f64 a b) 1/4))
(sqrt.f64 (+.f64 b a))
(*.f64 (sqrt.f64 (+.f64 a b)) 1)
(sqrt.f64 (+.f64 b a))
(*.f64 1 (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (+.f64 a b) 1/8) (pow.f64 (+.f64 a b) 3/8))
(*.f64 (pow.f64 (+.f64 b a) 1/8) (pow.f64 (+.f64 b a) 3/8))
(*.f64 (pow.f64 (+.f64 a b) 3/8) (pow.f64 (+.f64 a b) 1/8))
(*.f64 (pow.f64 (+.f64 b a) 1/8) (pow.f64 (+.f64 b a) 3/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 b a))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (+.f64 b a)) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.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 (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 b a))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (+.f64 b a)) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) 5/6) (cbrt.f64 (pow.f64 (+.f64 a b) 1/4)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) 5/6) (cbrt.f64 (pow.f64 (+.f64 b a) 1/4)))
(/.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)))))
(sqrt.f64 (+.f64 a b))
(sqrt.f64 (+.f64 b a))
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(sqrt.f64 (+.f64 b a))
(cbrt.f64 (pow.f64 (+.f64 a b) 3/2))
(sqrt.f64 (+.f64 b a))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(sqrt.f64 (+.f64 b a))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 (+.f64 b a))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 1/2))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1))
(sqrt.f64 (+.f64 b a))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a b)) 1) 1/2))
(sqrt.f64 (+.f64 b a))
(exp.f64 (.f64 (.f64 (*.f64 1/4 (log.f64 (+.f64 a b))) 1) 2))
(sqrt.f64 (+.f64 b a))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a b)) 1/2) 1))
(sqrt.f64 (+.f64 b a))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 a b))) 1) 1))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b)))) 3))
(sqrt.f64 (+.f64 b a))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 a b))) 1/4))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) 3/2)) 1/3))
(sqrt.f64 (+.f64 b a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(+.f64 0 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))
(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 (.f64 2 (log.f64 (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 2 (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)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 3)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2) 1/3)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 2)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/2)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) 3/2) (pow.f64 (-.f64 a b) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b a) 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)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b a) 3/2) (pow.f64 (-.f64 a b) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))) 1))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1) 1))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 3))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 a a) (*.f64 b b)) 3/2)) 1/3))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))) 2))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1/2))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

eval177.0ms (2.4%)

Compiler: Compiled 7198 to 4723 computations (34.4% saved)

prune39.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	240	5	245

Accurracy

75.9%

Counts

245 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	46.8%	(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))
✓	47.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	47.6%	a
✓	47.9%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	46.8%	(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))
✓	47.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	47.6%	a

Compiler

Compiled 96 to 62 computations (35.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accurracy

75.9%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
✓	46.8%	(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))
✓	47.0%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	47.6%	a

Compiler

Compiled 96 to 53 computations (44.8% saved)

regimes78.0ms (1%)

Counts

6 → 2

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)))
(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (pow.f64 (+.f64 a b) 1/4) 2))

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

Calls

6 calls:

18.0ms	b
13.0ms	a
12.0ms	(*.f64 a a)
11.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
11.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
75.8%	2	`a`
62.3%	3	`b`
74.4%	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
74.4%	3	`(-.f64 (.f64 a a) (.f64 b b))`
74.4%	3	`(*.f64 a a)`
63.4%	4	`(*.f64 b b)`

Compiler

Compiled 83 to 43 computations (48.2% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
75.6%	2	`a`

Compiler

Compiled 22 to 12 computations (45.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
a

Outputs
a

Calls

2 calls:

4.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
47.6%	1	`b`
47.6%	1	`a`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch65.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
64.0ms	-9.198590419159009e-287	6.122892601171529e-214

Results

59.0ms	643×	body	256	invalid
4.0ms	32×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

bsearch94.0ms (1.3%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
94.0ms	-9.198590419159009e-287	6.122892601171529e-214

Results

84.0ms	793×	body	256	invalid
8.0ms	34×	body	256	valid

Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify14.0ms (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	21	87
1	25	87
2	30	87
3	32	87
4	33	87

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 -1/2 (/.f64 b (/.f64 a b)) a))

(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) a)

Outputs

(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 -1/2 (/.f64 b (/.f64 a b)) a))

(if (<=.f64 a -8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) a)

Compiler

Compiled 40 to 24 computations (40% saved)

soundness698.0ms (9.4%)

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	197	2120
1	570	1680
2	2532	1312

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 224 to 170 computations (24.1% saved)

end51.0ms (0.7%)

Compiler: Compiled 122 to 62 computations (49.2% saved)

bug366, discussion (missed optimization)

Details

analyze978.0ms (13.2%)

sample3.7s (49.4%)

preprocess168.0ms (2.3%)

simplify161.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize122.0ms (1.6%)

series4.0ms (0.1%)

rewrite68.0ms (0.9%)

simplify59.0ms (0.8%)

eval28.0ms (0.4%)

prune49.0ms (0.7%)

localize157.0ms (2.1%)

series11.0ms (0.1%)

rewrite96.0ms (1.3%)

simplify153.0ms (2.1%)

eval75.0ms (1%)

prune38.0ms (0.5%)

localize138.0ms (1.9%)

series10.0ms (0.1%)

rewrite74.0ms (1%)

simplify131.0ms (1.8%)

eval177.0ms (2.4%)

prune39.0ms (0.5%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes78.0ms (1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch65.0ms (0.9%)

bsearch94.0ms (1.3%)

simplify14.0ms (0.2%)

soundness698.0ms (9.4%)

end51.0ms (0.7%)

Profiling