Metrics for Expression 4, p15

analyze29.0ms (0.7%)

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 24 to 15 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

...c/correct-round.rkt:119:19: 4.0ms (32.5% of total)

ival-<=: 4.0ms (32.5% of total)

ival-add: 2.0ms (16.2% of total)

ival-mult: 2.0ms (16.2% of total)

ival-and: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.4s (32%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 755.0ms

ival-<=: 424.0ms (56.2% of total)

...c/correct-round.rkt:119:19: 149.0ms (19.7% of total)

ival-add: 65.0ms (8.6% of total)

ival-mult: 65.0ms (8.6% of total)

ival-and: 27.0ms (3.6% of total)

const: 21.0ms (2.8% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess63.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

3194×	`sum4-define`
3170×	`sum5-define`
1520×	`fnmadd-define`
1320×	`fma-define`
1178×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	65	26
2	232	26
3	793	26
4	3668	26
0	4	4
1	12	4
2	29	4
3	109	4
4	164	4
5	214	4
6	243	4
7	260	4
8	262	4
0	262	4

Stop Event

1×	iter limit
1×	saturated
1×	node limit

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

Symmetry

(sort a b)

explain50.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

35.0ms

512×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 5.0ms (45.6% of total)

ival-mult: 5.0ms (45.6% of total)

const: 1.0ms (9.1% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 4 computations (55.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify10.0ms (0.2%)

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

140×	`fma-define`
124×	`fma-lowering-fma.f32`
124×	`fma-lowering-fma.f64`
90×	`sum3-define`
86×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	12	9
2	29	9
3	109	9
4	164	9
5	214	9
6	243	9
7	260	9
8	262	9
0	262	9

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

localize29.0ms (0.7%)

Localize:

Found 2 expressions of interest:

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

Results

24.0ms

256×

valid

Compiler

Compiled 15 to 5 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (62.8% of total)

ival-add: 2.0ms (41.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

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
0.0ms	b	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	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))

rewrite298.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
2352×	`fma-lowering-fma.f32`
2352×	`fma-lowering-fma.f64`
1696×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	27	7
2	238	7
3	3116	7
0	8180	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 271

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

simplify168.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2472×	`-lowering-.f32`
2472×	`-lowering-.f64`
1036×	`fma-lowering-fma.f32`
1036×	`fma-lowering-fma.f64`
980×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	252
1	205	213
2	581	213
3	1936	204
4	4841	204
0	8229	204

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

eval57.0ms (1.3%)

Compiler: Compiled 11086 to 836 computations (92.5% saved)

prune118.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	424	5	429
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	424	6	430

Accuracy

100.0%

Counts

430 → 6

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)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	98.4%	(*.f64 (+.f64 a b) b)
▶	99.6%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
▶	98.3%	(*.f64 b b)

Compiler

Compiled 99 to 54 computations (45.5% saved)

simplify17.0ms (0.4%)

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 a (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 b (+.f64 a b))
✓	cost-diff	256	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))

Rules

160×	`fma-define`
124×	`fma-lowering-fma.f32`
124×	`fma-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	41	62
2	94	62
3	156	62
4	218	62
5	273	62
6	284	62
7	289	62
8	291	62
0	291	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize117.0ms (2.8%)

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 a b)
✓	accuracy	100.0%	(*.f64 b (+.f64 a b))
✓	accuracy	100.0%	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	accuracy	100.0%	(*.f64 a (+.f64 a b))

Results

99.0ms

256×

valid

Compiler

Compiled 81 to 16 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 16.0ms (53.6% of total)

ival-mult: 10.0ms (33.5% of total)

ival-div: 3.0ms (10% of total)

const: 1.0ms (3.3% of total)

backward-pass: 0.0ms (0% of total)

series13.0ms (0.3%)

Counts

11 → 240

Calls

Call 1

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

60 calls:

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

rewrite396.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5118×	`-lowering-.f32`
5118×	`-lowering-.f64`
3200×	`/-lowering-/.f32`
3200×	`/-lowering-/.f64`
2132×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	86	45
2	797	45
0	9091	45

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 888

Calls

Call 1

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

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

simplify299.0ms (7%)

Algorithm

1×	egg-herbie

Rules

3728×	`-lowering-.f32`
3728×	`-lowering-.f64`
2160×	`--lowering--.f32`
2160×	`--lowering--.f64`
2066×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	1792
1	661	1557
2	1824	1514
3	6199	1514
0	8621	1514

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

eval214.0ms (5%)

Compiler: Compiled 37414 to 2250 computations (94% saved)

prune166.0ms (3.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1532	0	1532
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1532	6	1538

Accuracy

100.0%

Counts

1538 → 6

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)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.4%	(*.f64 (+.f64 a b) b)
✓	99.6%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	98.3%	(*.f64 b b)

Compiler

Compiled 98 to 45 computations (54.1% saved)

regimes35.0ms (0.8%)

Counts

6 → 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 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))

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

Calls

4 calls:

26.0ms	(+.f64 a b)
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	b
2.0ms	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 (0.3%)

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:

3.0ms	a
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	b

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)

regimes4.0ms (0.1%)

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
99.6%	1	`a`
99.6%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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
98.3%	1	`a`
98.3%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	19	33

Stop Event

1×

saturated

Calls

Call 1

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

soundness657.0ms (15.4%)

Rules

2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
2472×	`-lowering-.f32`
2472×	`-lowering-.f64`
2352×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	27	7
2	238	7
3	3116	7
0	8180	7
0	65	252
1	205	213
2	581	213
3	1936	204
4	4841	204
0	8229	204

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 69 to 31 computations (55.1% saved)

preprocess122.0ms (2.9%)

Remove: (sort a b)
Compiler: Compiled 252 to 108 computations (57.1% saved)

Expression 4, p15

analyze29.0ms (0.7%)

sample1.4s (32%)

preprocess63.0ms (1.5%)

explain50.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.2%)

localize29.0ms (0.7%)

series2.0ms (0.1%)

rewrite298.0ms (7%)

simplify168.0ms (4%)

eval57.0ms (1.3%)

prune118.0ms (2.8%)

simplify17.0ms (0.4%)

localize117.0ms (2.8%)

series13.0ms (0.3%)

rewrite396.0ms (9.3%)

simplify299.0ms (7%)

eval214.0ms (5%)

prune166.0ms (3.9%)

regimes35.0ms (0.8%)

regimes11.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify10.0ms (0.2%)

soundness657.0ms (15.4%)

preprocess122.0ms (2.9%)

end0.0ms (0%)

Profiling