Metrics for Expression 4, p15

analyze25.0ms (0.4%)

Memory

-23.9MiB live, 36.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.1s (16.4%)

Memory

40.3MiB live, 1 504.7MiB allocated

Samples

778.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 579.0ms

const: 169.0ms (29.2% of total)

ival-<=: 136.0ms (23.5% of total)

ival-add: 135.0ms (23.3% of total)

ival-mult: 100.0ms (17.3% of total)

ival-and: 23.0ms (4% of total)

exact: 13.0ms (2.2% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess82.0ms (1.3%)

Memory

24.3MiB live, 62.0MiB allocated

Algorithm

2×	egg-herbie

Rules

570×	`distribute-rgt-in`
516×	`unsub-neg`
444×	`distribute-lft-in`
290×	`associate-+l-`
284×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	61	42
2	216	42
3	542	42
4	1086	42
5	1973	42
6	2789	42
7	2935	42
8	2935	42
9	2935	42
10	2977	42
11	2993	42
0	4	7
1	11	7
2	25	7
3	53	7
4	76	7
5	92	7
6	101	7
7	107	7
0	107	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))

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

Call 2

Inputs
(* (+ a b) (+ a b))
(* (+ (neg a) b) (+ (neg a) b))
(* (+ a (neg b)) (+ a (neg b)))
(neg (* (+ (neg a) b) (+ (neg a) b)))
(neg (* (+ a (neg b)) (+ a (neg b))))
(* (+ b a) (+ b a))

Outputs
(* (+ a b) (+ a b))
(* (+ (neg a) b) (+ (neg a) b))
(* (- b a) (- b a))
(* (+ a (neg b)) (+ a (neg b)))
(* (- b a) (- b a))
(neg (* (+ (neg a) b) (+ (neg a) b)))
(* (- b a) (- a b))
(neg (* (+ a (neg b)) (+ a (neg b))))
(* (- b a) (- a b))
(* (+ b a) (+ b a))
(* (+ a b) (+ a b))

Symmetry

(sort a b)

explain50.0ms (0.8%)

Memory

-18.8MiB live, 103.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (45.8% of total)

ival-mult: 3.0ms (45.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) (+.f64 a b))

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`
48×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	11	12
2	25	12
3	53	12
4	76	12
5	92	12
6	101	12
7	107	12
0	107	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)
a
b

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

localize15.0ms (0.2%)

Memory

5.4MiB live, 42.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

10.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (62.7% of total)

ival-add: 1.0ms (31.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

-30.3MiB live, 11.4MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* (+ a b) (+ a b))>
#<alt (+ a b)>

Outputs
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(* (+ a b) (+ a b))
0.0ms	b	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	0	(* (+ a b) (+ a b))
0.0ms	b	@	inf	(* (+ a b) (+ a b))

rewrite649.0ms (10.1%)

Memory

-40.4MiB live, 812.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`
4 194×	`accelerator-lowering-fma.f64`
3 878×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	218	8
3	2800	8
0	9133	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 989

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)

Outputs
(+.f64 (.f64 a a) (+.f64 (.f64 a b) (*.f64 b (+.f64 a b))))
(+.f64 (.f64 b b) (+.f64 (.f64 a b) (*.f64 a (+.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 a a) (*.f64 b (+.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 b b) (*.f64 a (+.f64 a b))))
(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (*.f64 a b))
(+.f64 (+.f64 (.f64 a (+.f64 a b)) (.f64 a b)) (*.f64 b b))
(+.f64 (+.f64 (.f64 b (+.f64 a b)) (.f64 a b)) (*.f64 a a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 a b)) (log.f64 (+.f64 a b))))
(-.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a a (+.f64 (.f64 a b) (.f64 b (+.f64 a b))))
(fma.f64 a b (+.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(fma.f64 a b (+.f64 (.f64 b b) (.f64 a (+.f64 a b))))
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 b a (+.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(fma.f64 b a (+.f64 (.f64 b b) (.f64 a (+.f64 a b))))
(fma.f64 b b (+.f64 (.f64 a b) (.f64 a (+.f64 a b))))
(fma.f64 b (+.f64 a b) (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) a) (.f64 b (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) b) (.f64 a (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 b (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 a (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (*.f64 b (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a) (.f64 b (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) (.f64 a (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 b (-.f64 a b)) (*.f64 a (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 a (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 a b) (.f64 a (+.f64 a b))))
(fma.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 b (-.f64 (.f64 a a) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a a) (.f64 b b))) (+.f64 a b) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 (.f64 a a) (.f64 b b))) (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (*.f64 b (+.f64 a b)))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 a b) (+.f64 a b))) (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 a b) (+.f64 a b))) (+.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 b b)) (-.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)) (.f64 (+.f64 a b) (.f64 (-.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (-.f64 a b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 a b) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (.f64 a a) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (+.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a a) (.f64 b b)))
(/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (+.f64 a b) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(/.f64 (+.f64 (.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(/.f64 (+.f64 (.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (-.f64 a b)) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (.f64 b (-.f64 (.f64 a a) (.f64 b b))))) (.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
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(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (*.f64 b b))) #s(literal 1 binary64)) (+.f64 a b))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b (+.f64 a b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b b))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))))
(.f64 (exp.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))))

simplify223.0ms (3.5%)

Memory

29.8MiB live, 417.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
2 898×	`-lowering-.f32`
2 898×	`-lowering-.f64`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 b #s(literal 2 binary64))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 b #s(literal 2 binary64))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(.f64 a (+.f64 a (.f64 b #s(literal 2 binary64))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)

eval195.0ms (3%)

Memory: -25.6MiB live, 329.7MiB allocated
Compiler: Compiled 56 206 to 3 391 computations (94% saved)

prune194.0ms (3%)

Memory

9.9MiB live, 363.9MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 147	6	1 153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 147	7	1 154

Accuracy

100.0%

Counts

1 154 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
	100.0%	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	98.6%	(*.f64 (+.f64 a b) b)
▶	100.0%	(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
▶	99.5%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
▶	98.5%	(*.f64 b b)

Compiler

Compiled 125 to 70 computations (44% saved)

simplify319.0ms (4.9%)

Memory

29.7MiB live, 422.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	128	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	0	(+.f64 b (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) b)
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 a b))
✓	cost-diff	0	(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
✓	cost-diff	0	(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
✓	cost-diff	256	(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))

Rules

8 772×	`accelerator-lowering-fma.f32`
8 772×	`accelerator-lowering-fma.f64`
3 582×	`-lowering-.f32`
3 582×	`-lowering-.f64`
1 778×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	43	92
2	93	92
3	175	92
4	214	92
5	240	84
6	291	84
7	460	84
8	1112	84
9	2768	84
10	3271	84
11	3464	84
12	3736	84
13	4096	84
14	4457	84
15	5330	84
16	5375	84
17	5410	84
18	5614	84
19	6001	84
20	7757	84
0	8990	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* b (+ b (* a (+ 2 (/ a b)))))
b
(+ b (* a (+ 2 (/ a b))))
(* a (+ 2 (/ a b)))
a
(+ 2 (/ a b))
2
(/ a b)
(* b b)
b
(* (+ a b) b)
(+ a b)
a
b
(* b (+ b (* 2 a)))
b
(+ b (* 2 a))
(* 2 a)
2
a
(/ (+ a b) (/ 1 (+ a b)))
(+ a b)
a
b
(/ 1 (+ a b))
1

Outputs
(* b (+ b (* a (+ 2 (/ a b)))))
(*.f64 (+.f64 b a) (+.f64 b a))
b
(+ b (* a (+ 2 (/ a b))))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(* a (+ 2 (/ a b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
a
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
2
#s(literal 2 binary64)
(/ a b)
(/.f64 a b)
(* b b)
(*.f64 b b)
b
(* (+ a b) b)
(*.f64 b (+.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
b
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
a
(/ (+ a b) (/ 1 (+ a b)))
(*.f64 (+.f64 b a) (+.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(/ 1 (+ a b))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
1
#s(literal 1 binary64)

localize56.0ms (0.9%)

Memory

-9.5MiB live, 109.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 a b))
✓	accuracy	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
✓	accuracy	100.0%	(+.f64 b (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	100.0%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (+.f64 a b) b)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 a b))
✓	accuracy	100.0%	(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
✓	accuracy	100.0%	(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))

Samples

37.0ms

256×

valid

Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (45.8% of total)

ival-div: 7.0ms (32% of total)

ival-add: 4.0ms (18.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-9.4MiB live, 29.4MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#<alt (* b (+ b (* a (+ 2 (/ a b)))))>
#<alt (+ b (* a (+ 2 (/ a b))))>
#<alt (* a (+ 2 (/ a b)))>
#<alt (+ 2 (/ a b))>
#<alt (* b b)>
#<alt (* (+ a b) b)>
#<alt (+ a b)>
#<alt (* b (+ b (* 2 a)))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (/ (+ a b) (/ 1 (+ a b)))>
#<alt (/ 1 (+ a b))>

Outputs
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (/ (pow a 2) b)>
#<alt (/ (+ (* 2 (* a b)) (pow a 2)) b)>
#<alt (/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)>
#<alt (/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* a (+ 2 (/ a b))))>
#<alt (+ b (* a (+ 2 (/ a b))))>
#<alt (/ (pow a 2) b)>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))>
#<alt (/ (pow a 2) b)>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ a b)))>
#<alt (* a (+ 2 (/ a b)))>
#<alt (* a (+ 2 (/ a b)))>
#<alt (/ (pow a 2) b)>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (/ (pow a 2) b)>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (/ (pow a 2) b)>
#<alt (/ (+ (* 2 (* a b)) (pow a 2)) b)>
#<alt (/ (+ (* 2 (* a b)) (pow a 2)) b)>
#<alt (/ (+ (* 2 (* a b)) (pow a 2)) b)>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (/ (pow a 2) b))>
#<alt (+ (* 2 a) (/ (pow a 2) b))>
#<alt (+ (* 2 a) (/ (pow a 2) b))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (/ (pow a 2) b))>
#<alt (+ (* 2 a) (/ (pow a 2) b))>
#<alt (+ (* 2 a) (/ (pow a 2) b))>
#<alt 2>
#<alt (+ 2 (/ a b))>
#<alt (+ 2 (/ a b))>
#<alt (+ 2 (/ a b))>
#<alt (/ a b)>
#<alt (* a (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* a (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* a (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (/ a b)>
#<alt (* a (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* a (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (* a (+ (* 2 (/ 1 a)) (/ 1 b)))>
#<alt (/ a b)>
#<alt (/ (+ a (* 2 b)) b)>
#<alt (/ (+ a (* 2 b)) b)>
#<alt (/ (+ a (* 2 b)) b)>
#<alt 2>
#<alt (+ 2 (/ a b))>
#<alt (+ 2 (/ a b))>
#<alt (+ 2 (/ a b))>
#<alt 2>
#<alt (+ 2 (/ a b))>
#<alt (+ 2 (/ a b))>
#<alt (+ 2 (/ a b))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (* a b)>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* a b)>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* 2 (* a b))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* 2 a)>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))>
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ a b) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(* 2 a)
1.0ms	b	@	0	(* (+ a b) b)
1.0ms	a	@	0	(* b (+ b (* a (+ 2 (/ a b)))))
0.0ms	b	@	0	(* b (+ b (* a (+ 2 (/ a b)))))
0.0ms	a	@	-inf	(* b (+ b (* a (+ 2 (/ a b)))))

rewrite467.0ms (7.2%)

Memory

0.7MiB live, 795.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 166×	`accelerator-lowering-fma.f32`
8 166×	`accelerator-lowering-fma.f64`
5 594×	`-lowering-.f32`
5 594×	`-lowering-.f64`
4 022×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	108	70
2	887	68
0	8703	64

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 754

Calls

Call 1

Inputs
(* b (+ b (* a (+ 2 (/ a b)))))
(+ b (* a (+ 2 (/ a b))))
(* a (+ 2 (/ a b)))
(+ 2 (/ a b))
(* b b)
(* (+ a b) b)
(+ a b)
(* b (+ b (* 2 a)))
(+ b (* 2 a))
(* 2 a)
(/ (+ a b) (/ 1 (+ a b)))
(/ 1 (+ a b))

Outputs
(+.f64 (.f64 b b) (.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(+.f64 (.f64 b (+.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 b (/.f64 (.f64 a a) b)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 b a)) (.f64 b (+.f64 (/.f64 (.f64 a a) b) b)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 b a)) (.f64 (+.f64 (/.f64 (.f64 a a) b) b) b))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 b a)) (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (*.f64 b b)))
(+.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (*.f64 b b))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))) (/.f64 (.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))) (.f64 b (-.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))))
(fma.f64 b b (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(fma.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 b b))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (/.f64 (*.f64 a a) b)))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 b b))
(fma.f64 a (.f64 #s(literal 2 binary64) b) (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 a (.f64 #s(literal 2 binary64) b) (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 a (.f64 #s(literal 2 binary64) b) (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (.f64 b a) (.f64 b b))
(fma.f64 (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))) b (.f64 b b))
(fma.f64 (.f64 a #s(literal 2 binary64)) b (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 (.f64 a #s(literal 2 binary64)) b (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 (.f64 a #s(literal 2 binary64)) b (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 (+.f64 b (.f64 a #s(literal 2 binary64))) b (.f64 b (/.f64 (*.f64 a a) b)))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(fma.f64 (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 (/.f64 (.f64 a a) b) b) (/.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 b a)))) (.f64 b a)) (.f64 b b))
(fma.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b))))) b) (.f64 b (/.f64 (.f64 a a) b)))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 (.f64 b a) (+.f64 #s(literal 2 binary64) (/.f64 a b)) (.f64 b b))
(fma.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 (.f64 a a) b) b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 b a)) (.f64 b b))
(fma.f64 (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 a #s(literal 2 binary64)))) b) (.f64 b (/.f64 (*.f64 a a) b)))
(fma.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) (.f64 b a)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 b a)) (.f64 b b))))) (.f64 b (/.f64 (.f64 a a) b)))
(fma.f64 (.f64 (.f64 b (+.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 b (/.f64 (*.f64 a a) b)))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 a b))) a (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) b) a (.f64 b (+.f64 (/.f64 (*.f64 a a) b) b)))
(fma.f64 (.f64 #s(literal 2 binary64) b) a (.f64 (+.f64 (/.f64 (*.f64 a a) b) b) b))
(fma.f64 (.f64 #s(literal 2 binary64) b) a (+.f64 (.f64 b (/.f64 (.f64 a a) b)) (.f64 b b)))
(fma.f64 (.f64 b (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b))))) (.f64 b (/.f64 (.f64 a a) b)))
(fma.f64 (.f64 b (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 b (/.f64 (*.f64 a a) b)))
(fma.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))) b) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b))))) (.f64 b (/.f64 (.f64 a a) b)))
(fma.f64 (.f64 (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64))) b) (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 b (/.f64 (*.f64 a a) b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) b (.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(fma.f64 (.f64 (.f64 b a) (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 (/.f64 (.f64 a a) b) b) (/.f64 b a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 b a)))) (.f64 b b))
(fma.f64 (.f64 (.f64 b a) (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 (.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 a b))) (.f64 b b))
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (-.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 b b)))) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))) (.f64 (.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))) (.f64 b (-.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (-.f64 (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))) b)))) (.f64 b (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 (.f64 a a) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (+.f64 #s(literal 2 binary64) (/.f64 a b))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 (.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))) (-.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (-.f64 (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))) b)))) (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 (.f64 a a) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (+.f64 #s(literal 2 binary64) (/.f64 a b))))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 (-.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) b))))
(/.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (-.f64 (.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))) (.f64 b b)))))
(/.f64 (.f64 (.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))) (.f64 b (-.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))) (.f64 b (-.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))))
(/.f64 (.f64 b (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 (.f64 a a) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (+.f64 #s(literal 2 binary64) (/.f64 a b)))))))) (+.f64 (.f64 b b) (.f64 a (.f64 (+.f64 #s(literal 2 binary64) (/.f64 a b)) (-.f64 (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))) b)))))
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(/.f64 (.f64 (+.f64 b a) (+.f64 (.f64 #s(literal -1 binary64) (.f64 a a)) (.f64 b b))) (+.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (.f64 (+.f64 b a) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 b a))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 a a)) (.f64 b b))) (-.f64 a b))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 a a)) (.f64 b b)) (+.f64 b a)) (+.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (+.f64 b a)) (-.f64 b a))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 a a)) (.f64 b b)) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (-.f64 a b))
(pow.f64 (+.f64 b a) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 b a) (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (+.f64 b a))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (+.f64 b a)))
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (/.f64 (-.f64 a b) (-.f64 a b)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 (+.f64 b a) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 b a))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (+.f64 b a)))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.f64 b a)))
(.f64 (.f64 (+.f64 b a) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
(.f64 (.f64 (+.f64 b a) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 b a) (-.f64 (.f64 a a) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (.f64 (+.f64 b a) (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b)))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (+.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 (+.f64 b a) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b)))) (/.f64 (+.f64 b a) (-.f64 a b)))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) (-.f64 a b)))
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)) #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))))
(.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 b (-.f64 b a))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 b (-.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a a)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) a) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))))
(+.f64 (.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))))
(+.f64 (.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(-.f64 (/.f64 a (-.f64 (.f64 a a) (.f64 b b))) (/.f64 b (-.f64 (.f64 a a) (.f64 b b))))
(-.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 (.f64 b a) (+.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))
(fma.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a))))))
(fma.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (*.f64 b (-.f64 b a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 b (-.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) a (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))
(/.f64 (-.f64 a b) (-.f64 (.f64 a a) (.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) b) (+.f64 (.f64 #s(literal -1 binary64) (.f64 a a)) (*.f64 b b)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a)))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a a) (*.f64 b b))) (+.f64 b a))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (+.f64 b a))))
(pow.f64 (+.f64 b a) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 b a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))
(.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 a b) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)))

simplify741.0ms (11.5%)

Memory

-10.2MiB live, 525.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 018×	`accelerator-lowering-fma.f32`
10 018×	`accelerator-lowering-fma.f64`
4 418×	`-lowering-.f32`
4 418×	`-lowering-.f64`
1 550×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	1980
1	656	1904
2	1731	1832
3	5578	1564
0	8608	1436

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(/ (pow a 2) b)
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)
(/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))
b
(+ b (* 2 a))
(+ b (* a (+ 2 (/ a b))))
(+ b (* a (+ 2 (/ a b))))
(/ (pow a 2) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(/ (pow a 2) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))
(* 2 a)
(* a (+ 2 (/ a b)))
(* a (+ 2 (/ a b)))
(* a (+ 2 (/ a b)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(/ (pow a 2) b)
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(* 2 a)
(+ (* 2 a) (/ (pow a 2) b))
(+ (* 2 a) (/ (pow a 2) b))
(+ (* 2 a) (/ (pow a 2) b))
(* 2 a)
(+ (* 2 a) (/ (pow a 2) b))
(+ (* 2 a) (/ (pow a 2) b))
(+ (* 2 a) (/ (pow a 2) b))
2
(+ 2 (/ a b))
(+ 2 (/ a b))
(+ 2 (/ a b))
(/ a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(/ a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(/ a b)
(/ (+ a (* 2 b)) b)
(/ (+ a (* 2 b)) b)
(/ (+ a (* 2 b)) b)
2
(+ 2 (/ a b))
(+ 2 (/ a b))
(+ 2 (/ a b))
2
(+ 2 (/ a b))
(+ 2 (/ a b))
(+ 2 (/ a b))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* a b)
(* b (+ a b))
(* b (+ a b))
(* b (+ a b))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(/ 1 b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))

Outputs
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)
(/.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64))))) b)
(/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)
(/.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64))))) b)
b
(* b (+ 1 (* 2 (/ a b))))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
b
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(+ b (* a (+ 2 (/ a b))))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(+ b (* a (+ 2 (/ a b))))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))
(+.f64 b (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (/ a b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* a (+ 2 (/ a b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* a (+ 2 (/ a b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(+ (* 2 a) (/ (pow a 2) b))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(+ (* 2 a) (/ (pow a 2) b))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(+ (* 2 a) (/ (pow a 2) b))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(+ (* 2 a) (/ (pow a 2) b))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(+ (* 2 a) (/ (pow a 2) b))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
(+ (* 2 a) (/ (pow a 2) b))
(*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))
2
#s(literal 2 binary64)
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(/ (+ a (* 2 b)) b)
(/.f64 (+.f64 a (*.f64 #s(literal 2 binary64) b)) b)
(/ (+ a (* 2 b)) b)
(/.f64 (+.f64 a (*.f64 #s(literal 2 binary64) b)) b)
(/ (+ a (* 2 b)) b)
(/.f64 (+.f64 a (*.f64 #s(literal 2 binary64) b)) b)
2
#s(literal 2 binary64)
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
2
#s(literal 2 binary64)
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(+ 2 (/ a b))
(+.f64 #s(literal 2 binary64) (/.f64 a b))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
b
(* b (+ 1 (* 2 (/ a b))))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* b (+ 1 (* 2 (/ a b))))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* b (+ 1 (* 2 (/ a b))))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
b
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (/ b a)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* a (+ 2 (/ b a)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* a (+ 2 (/ b a)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (.f64 (.f64 a a) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) b) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (.f64 b (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a)) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (.f64 b (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a)) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b)))) b) a) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b)))) b) a) b)) b)

eval204.0ms (3.2%)

Memory: 21.3MiB live, 257.6MiB allocated
Compiler: Compiled 25 393 to 2 452 computations (90.3% saved)

prune262.0ms (4.1%)

Memory

-12.0MiB live, 266.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 239	1	1 240
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1 240	7	1 247

Accuracy

100.0%

Counts

1 247 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.6%	(*.f64 (+.f64 a b) b)
✓	100.0%	(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
✓	99.5%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	98.5%	(*.f64 b b)

Compiler

Compiled 67 to 38 computations (43.3% saved)

simplify13.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)))

Rules

296×	`accelerator-lowering-fma.f32`
296×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
88×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	31
1	14	27
2	27	27
3	86	27
4	157	27
5	222	27
6	275	27
7	306	27
8	309	27
0	309	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (/ (/ 1 (+ b a)) (+ b a)))
1
(/ (/ 1 (+ b a)) (+ b a))
(/ 1 (+ b a))
(+ b a)
b
a

Outputs
(/ 1 (/ (/ 1 (+ b a)) (+ b a)))
(*.f64 (+.f64 b a) (+.f64 b a))
1
#s(literal 1 binary64)
(/ (/ 1 (+ b a)) (+ b a))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (+.f64 b a)))
(/ 1 (+ b a))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
(+ b a)
(+.f64 b a)
b
a

localize40.0ms (0.6%)

Memory

-19.7MiB live, 58.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)))

Samples

13.0ms

256×

valid

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (63.8% of total)

ival-add: 1.0ms (15.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/ 1 (/ (/ 1 (+ b a)) (+ b a)))>
#<alt (/ (/ 1 (+ b a)) (+ b a))>
#<alt (/ 1 (+ b a))>
#<alt (+ b a)>

Outputs
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (* -2 (/ b (pow a 3))) (/ 1 (pow a 2)))>
#<alt (+ (* b (- (* 3 (/ b (pow a 4))) (* 2 (/ 1 (pow a 3))))) (/ 1 (pow a 2)))>
#<alt (+ (* b (- (* b (+ (* -4 (/ b (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* 2 (/ 1 (pow a 3))))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -2 (/ a b))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 2)) (pow a 2)) (pow b 2)))) (* 2 (/ a b))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -2 (* a (+ (* -4 (pow a 2)) (pow a 2)))) (* -2 (pow a 3))) (pow b 3)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -2 (/ a b))) (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -2 a)) b))) (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* a (+ (* -4 (pow a 2)) (pow a 2))) b)) (* 2 (/ (pow a 3) b))) (+ (* -4 (pow a 2)) (pow a 2))) b)) (* -2 a)) b))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* -2 (/ a (pow b 3))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* 3 (/ a (pow b 4))) (* 2 (/ 1 (pow b 3))))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* a (+ (* -4 (/ a (pow b 5))) (* 3 (/ 1 (pow b 4))))) (* 2 (/ 1 (pow b 3))))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -2 (/ b a))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 2)) (pow b 2)) (pow a 2)))) (* 2 (/ b a))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -2 (* b (+ (* -4 (pow b 2)) (pow b 2)))) (* -2 (pow b 3))) (pow a 3)))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -2 (/ b a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -2 b)) a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* b (+ (* -4 (pow b 2)) (pow b 2))) a)) (* 2 (/ (pow b 3) a))) (+ (* -4 (pow b 2)) (pow b 2))) a)) (* -2 b)) a))) (pow a 2))>
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ a b) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(/ (/ 1 (+ b a)) (+ b a))
0.0ms	a	@	inf	(/ (/ 1 (+ b a)) (+ b a))
0.0ms	a	@	-inf	(/ (/ 1 (+ b a)) (+ b a))
0.0ms	b	@	-inf	(/ (/ 1 (+ b a)) (+ b a))
0.0ms	b	@	0	(/ (/ 1 (+ b a)) (+ b a))

rewrite252.0ms (3.9%)

Memory

-22.6MiB live, 418.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 702×	`-lowering-.f32`
2 702×	`-lowering-.f64`
2 008×	`accelerator-lowering-fma.f32`
2 008×	`accelerator-lowering-fma.f64`
1 928×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	46	18
2	339	18
3	4293	18
0	8549	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 512

Calls

Call 1

Inputs
(/ 1 (/ (/ 1 (+ b a)) (+ b a)))
(/ (/ 1 (+ b a)) (+ b a))
(/ 1 (+ b a))
(+ b a)

Outputs
(+.f64 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a)))
(+.f64 (.f64 b (+.f64 b a)) (.f64 a (+.f64 b a)))
(+.f64 (neg.f64 (.f64 a (+.f64 b a))) (neg.f64 (.f64 b (+.f64 b a))))
(+.f64 (neg.f64 (.f64 b (+.f64 b a))) (neg.f64 (.f64 a (+.f64 b a))))
(+.f64 (.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a)) (.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) b)) (.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b a)) (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 b a)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 b a)) (.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b a)))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(*.f64 (+.f64 b a) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (-.f64 b a)))
(.f64 (+.f64 b a) (.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(*.f64 #s(literal -1 binary64) (+.f64 b a))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b)))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (-.f64 a b)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b)))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 a b))) (/.f64 (+.f64 b a) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b)))))
(.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))) (+.f64 b a))))
(.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 a b))) (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (-.f64 a b)))) (+.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (-.f64 (.f64 b b) (*.f64 a a)))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 (.f64 b b) (*.f64 a a))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 b a) #s(literal -1/2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 b b) (.f64 a (-.f64 a b))) #s(literal 1 binary64)) (/.f64 (+.f64 b a) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (*.f64 a a))) (+.f64 b a))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a (-.f64 a b)) (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b)))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (-.f64 a b)) (-.f64 (.f64 a (-.f64 a b)) (.f64 b b)))))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b))))) (-.f64 (.f64 b b) (*.f64 a (-.f64 a b))))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (*.f64 a (+.f64 b a))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (+.f64 b a))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b)))))))
(.f64 (exp.f64 (log.f64 (-.f64 (.f64 b b) (*.f64 a a)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)))))

simplify581.0ms (9%)

Memory

-5.9MiB live, 1 087.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 364×	`accelerator-lowering-fma.f32`
16 364×	`accelerator-lowering-fma.f64`
6 474×	`-lowering-.f32`
6 474×	`-lowering-.f64`
2 810×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	1162
1	865	1112
2	2484	1012
0	8828	938

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(/ 1 (pow a 2))
(+ (* -2 (/ b (pow a 3))) (/ 1 (pow a 2)))
(+ (* b (- (* 3 (/ b (pow a 4))) (* 2 (/ 1 (pow a 3))))) (/ 1 (pow a 2)))
(+ (* b (- (* b (+ (* -4 (/ b (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* 2 (/ 1 (pow a 3))))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -2 (/ a b))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 2)) (pow a 2)) (pow b 2)))) (* 2 (/ a b))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* a (+ (* -4 (pow a 2)) (pow a 2)))) (* -2 (pow a 3))) (pow b 3)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -2 (/ a b))) (pow b 2))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -2 a)) b))) (pow b 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* a (+ (* -4 (pow a 2)) (pow a 2))) b)) (* 2 (/ (pow a 3) b))) (+ (* -4 (pow a 2)) (pow a 2))) b)) (* -2 a)) b))) (pow b 2))
(/ 1 (pow b 2))
(+ (* -2 (/ a (pow b 3))) (/ 1 (pow b 2)))
(+ (* a (- (* 3 (/ a (pow b 4))) (* 2 (/ 1 (pow b 3))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (+ (* -4 (/ a (pow b 5))) (* 3 (/ 1 (pow b 4))))) (* 2 (/ 1 (pow b 3))))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -2 (/ b a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 2)) (pow b 2)) (pow a 2)))) (* 2 (/ b a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* b (+ (* -4 (pow b 2)) (pow b 2)))) (* -2 (pow b 3))) (pow a 3)))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -2 (/ b a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -2 b)) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* b (+ (* -4 (pow b 2)) (pow b 2))) a)) (* 2 (/ (pow b 3) a))) (+ (* -4 (pow b 2)) (pow b 2))) a)) (* -2 b)) a))) (pow a 2))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/ 1 b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))

Outputs
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal 2 binary64))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal 2 binary64))) b))))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b) a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 2 binary64)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 2 binary64)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 a (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 (/.f64 b a) #s(literal 2 binary64))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 a (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 (/.f64 b a) #s(literal 2 binary64))) a))))
(/ 1 (pow a 2))
(/.f64 (/.f64 #s(literal 1 binary64) a) a)
(+ (* -2 (/ b (pow a 3))) (/ 1 (pow a 2)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (.f64 b #s(literal -2 binary64)) (.f64 a (*.f64 a a))))
(+ (* b (- (* 3 (/ b (pow a 4))) (* 2 (/ 1 (pow a 3))))) (/ 1 (pow a 2)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (.f64 b (+.f64 (/.f64 (.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a a))))))
(+ (* b (- (* b (+ (* -4 (/ b (pow a 5))) (* 3 (/ 1 (pow a 4))))) (* 2 (/ 1 (pow a 3))))) (/ 1 (pow a 2)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (.f64 b (+.f64 (.f64 b (+.f64 (/.f64 (.f64 b #s(literal -4 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal -2 binary64) (.f64 a (*.f64 a a))))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -2 (/ a b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) b)) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 2)) (pow a 2)) (pow b 2)))) (* 2 (/ a b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (.f64 (.f64 a a) #s(literal 3 binary64)) b)) b)) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* a (+ (* -4 (pow a 2)) (pow a 2)))) (* -2 (pow a 3))) (pow b 3)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 a (.f64 a a)))) (.f64 b (.f64 b b)))) (/.f64 (+.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (.f64 (.f64 a a) #s(literal 3 binary64)) b)) b)) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -2 (/ a b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) b)) (.f64 b b))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -2 a)) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (.f64 (.f64 a a) #s(literal 3 binary64)) b)) b)) (.f64 b b))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* a (+ (* -4 (pow a 2)) (pow a 2))) b)) (* 2 (/ (pow a 3) b))) (+ (* -4 (pow a 2)) (pow a 2))) b)) (* -2 a)) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 a b) (.f64 a (.f64 a #s(literal -2 binary64))))) (.f64 (.f64 a a) #s(literal 3 binary64))) b) (.f64 a #s(literal -2 binary64))) b)) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -2 (/ a (pow b 3))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 a #s(literal -2 binary64)) (.f64 b (.f64 b b))))
(+ (* a (- (* 3 (/ a (pow b 4))) (* 2 (/ 1 (pow b 3))))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 a (+.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (.f64 b (*.f64 b b))))))
(+ (* a (- (* a (+ (* -4 (/ a (pow b 5))) (* 3 (/ 1 (pow b 4))))) (* 2 (/ 1 (pow b 3))))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 a (+.f64 (.f64 a (+.f64 (/.f64 (.f64 a #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal -2 binary64) (.f64 b (.f64 b b))))))
(/ 1 (pow a 2))
(/.f64 (/.f64 #s(literal 1 binary64) a) a)
(/ (+ 1 (* -2 (/ b a))) (pow a 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) a) a)
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 2)) (pow b 2)) (pow a 2)))) (* 2 (/ b a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b #s(literal -2 binary64)) (.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64))) a)) (.f64 a a))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* b (+ (* -4 (pow b 2)) (pow b 2)))) (* -2 (pow b 3))) (pow a 3)))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 b (.f64 b b)))) (.f64 a (.f64 a a))) (/.f64 (+.f64 (.f64 b #s(literal -2 binary64)) (.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64))) a))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 (/.f64 #s(literal 1 binary64) a) a)
(/ (+ 1 (* -2 (/ b a))) (pow a 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) a) a)
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -2 b)) a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b #s(literal -2 binary64)) (.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64))) a)) (.f64 a a))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* b (+ (* -4 (pow b 2)) (pow b 2))) a)) (* 2 (/ (pow b 3) a))) (+ (* -4 (pow b 2)) (pow b 2))) a)) (* -2 b)) a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 b a) (.f64 b (.f64 b #s(literal -2 binary64))))) (.f64 (.f64 b b) #s(literal 3 binary64))) a) (.f64 b #s(literal -2 binary64))) a)) (.f64 a a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (/.f64 (.f64 b b) (.f64 a (*.f64 a a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 a (.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64)))) b) a) b))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 a (.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64)))) b) a) b))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (/.f64 (.f64 a (/.f64 a (.f64 b b))) b) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 b (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a) b) a)) (-.f64 #s(literal 0 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 b (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a) b) a)) (-.f64 #s(literal 0 binary64) a))
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))

eval99.0ms (1.5%)

Memory: -0.4MiB live, 268.8MiB allocated
Compiler: Compiled 18 906 to 2 194 computations (88.4% saved)

prune103.0ms (1.6%)

Memory

22.8MiB live, 255.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	781	0	781
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	781	7	788

Accuracy

100.0%

Counts

788 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.6%	(*.f64 (+.f64 a b) b)
✓	100.0%	(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
✓	99.5%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	98.5%	(*.f64 b b)

Compiler

Compiled 133 to 63 computations (52.6% saved)

regimes17.0ms (0.3%)

Memory

5.8MiB live, 40.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (+.f64 b a)))

Outputs
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))

Calls

4 calls:

8.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	(+.f64 a b)
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes11.0ms (0.2%)

Memory

-13.6MiB live, 24.5MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))

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

Calls

4 calls:

4.0ms	a
2.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	b

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.9%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Outputs
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
98.6%	1	`b`
98.6%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b b)

Outputs
(*.f64 b b)

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify15.0ms (0.2%)

Memory

-43.0MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	24	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(*.f64 (+.f64 a b) (+.f64 a b))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) b)
(*.f64 b b)

Outputs
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(*.f64 (+.f64 a b) b)
(*.f64 b (+.f64 b a))
(*.f64 b b)

soundness599.0ms (9.3%)

Memory

-0.9MiB live, 234.7MiB allocated

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
2 898×	`-lowering-.f32`
2 898×	`-lowering-.f64`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 56 to 28 computations (50% saved)

preprocess139.0ms (2.2%)

Memory: 15.6MiB live, 92.5MiB allocated
Compiler: Compiled 226 to 118 computations (47.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.4%)

sample1.1s (16.4%)

preprocess82.0ms (1.3%)

explain50.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize15.0ms (0.2%)

series8.0ms (0.1%)

rewrite649.0ms (10.1%)

simplify223.0ms (3.5%)

eval195.0ms (3%)

prune194.0ms (3%)

simplify319.0ms (4.9%)

localize56.0ms (0.9%)

series15.0ms (0.2%)

rewrite467.0ms (7.2%)

simplify741.0ms (11.5%)

eval204.0ms (3.2%)

prune262.0ms (4.1%)

simplify13.0ms (0.2%)

localize40.0ms (0.6%)

series4.0ms (0.1%)

rewrite252.0ms (3.9%)

simplify581.0ms (9%)

eval99.0ms (1.5%)

prune103.0ms (1.6%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

simplify15.0ms (0.2%)

soundness599.0ms (9.3%)

preprocess139.0ms (2.2%)

end0.0ms (0%)

Profiling