Details

analyze70.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	81.2%	0.1%	0%	18.7%	0%	5
16%	12.5%	65.6%	0.1%	0%	21.9%	0%	6
27.9%	18.7%	48.4%	0.1%	0%	32.8%	0%	7
43.4%	28.1%	36.7%	0.1%	0%	35.1%	0%	8
55.6%	32.8%	26.1%	0.1%	0%	41%	0%	9
66.4%	38.2%	19.3%	0.1%	0%	42.3%	0%	10
75.1%	41%	13.6%	0.1%	0%	45.4%	0%	11
81.6%	43.9%	9.9%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (54.7%)

Results

1.1s	8256×	body	256	valid
110.0ms	612×	body	256	invalid

Bogosity

preprocess167.0ms (7.6%)

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)

simplify156.0ms (7.1%)

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

51.4%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	54.6%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 25 to 6 computations (76% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (3.2%)

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 (2.4%)

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)))

eval54.0ms (2.4%)

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

prune10.0ms (0.5%)

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

75.2%

Counts

86 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	49.0%	a

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

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

75.2%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	49.0%	a

Compiler

Compiled 13 to 8 computations (38.5% saved)

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

75.2%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	49.0%	a

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

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

75.2%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	49.0%	a

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes98.0ms (4.5%)

Accuracy

Total -32.0b remaining (-201.2%)

Threshold costs -32b (-201.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

6 calls:

63.0ms	b
9.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
8.0ms	(*.f64 a a)
8.0ms	(-.f64 (.f64 a a) (.f64 b b))
6.0ms	a

Results

Accuracy	Segments	Branch
75.1%	2	`a`
59.2%	5	`b`
75.2%	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
75.2%	3	`(-.f64 (.f64 a a) (.f64 b b))`
75.2%	3	`(*.f64 a a)`
56.6%	2	`(*.f64 b b)`

Compiler

Compiled 54 to 31 computations (42.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0690547606044702e+304	+inf
0.0ms	0.0	8.03452155823254e-307

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	56
1	28	56
2	32	56
3	34	56
4	35	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 a a) 0) a (if (<=.f64 (*.f64 a a) 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) a))

Outputs

(if (<=.f64 (*.f64 a a) 0) a (if (<=.f64 (*.f64 a a) 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) a))

Compiler

Compiled 27 to 15 computations (44.4% saved)

soundness276.0ms (12.5%)

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)

end21.0ms (1%)

Compiler: Compiled 25 to 13 computations (48% saved)

Details

analyze70.0ms (3.2%)

sample1.2s (54.7%)

preprocess167.0ms (7.6%)

simplify156.0ms (7.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series4.0ms (0.2%)

rewrite70.0ms (3.2%)

simplify53.0ms (2.4%)

eval54.0ms (2.4%)

prune10.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes98.0ms (4.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

soundness276.0ms (12.5%)

end21.0ms (1%)

Profiling