Metrics for bug366, discussion (missed optimization)

analyze28.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample824.0ms (44.2%)

Results

772.0ms	8256×	body	256	valid
39.0ms	631×	body	256	invalid

Bogosity

preprocess155.0ms (8.3%)

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)

simplify153.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

53.9%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
▶	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize37.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

simplify53.0ms (2.9%)

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)))

eval34.0ms (1.8%)

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

prune12.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Accurracy

78.3%

Counts

86 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	52.5%	a
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	52.5%	a

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Accurracy

78.3%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	52.5%	a
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	52.5%	a

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Accurracy

78.3%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	52.5%	a
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	52.5%	a

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Accurracy

78.3%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.9%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	52.5%	a

Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes81.0ms (4.4%)

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

6 calls:

45.0ms	b
9.0ms	(*.f64 a a)
8.0ms	a
8.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
8.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Accuracy	Segments	Branch
78.3%	2	`a`
61.6%	5	`b`
76.7%	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
76.7%	3	`(-.f64 (.f64 a a) (.f64 b b))`
76.7%	3	`(*.f64 a a)`
58.6%	2	`(*.f64 b b)`

Compiler

Compiled 54 to 31 computations (42.6% saved)

regimes6.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
a

Outputs
a

Calls

2 calls:

3.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
52.5%	1	`b`
52.5%	1	`a`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch46.0ms (2.5%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
46.0ms	-2.7256607811747477e-270	3.5190056848720326e-248

Results

43.0ms	626×	body	256	invalid
1.0ms	12×	body	256	valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	19	34
2	24	34
3	26	34
4	27	34

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 a -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) a)

Outputs

(if (<=.f64 a -2379227053564453/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) a)

Compiler

Compiled 18 to 11 computations (38.9% saved)

soundness297.0ms (15.9%)

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

end54.0ms (2.9%)

Compiler: Compiled 82 to 48 computations (41.5% saved)

analyze28.0ms (1.5%)

sample824.0ms (44.2%)

preprocess155.0ms (8.3%)

simplify153.0ms (8.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize37.0ms (2%)

series4.0ms (0.2%)

rewrite66.0ms (3.5%)

simplify53.0ms (2.9%)

eval34.0ms (1.8%)

prune12.0ms (0.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes81.0ms (4.4%)

regimes6.0ms (0.3%)

bsearch46.0ms (2.5%)

simplify5.0ms (0.3%)

soundness297.0ms (15.9%)

end54.0ms (2.9%)

Profiling