Metrics for Expression, p14

analyze368.0ms (5.4%)

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
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
25%	0%	0%	100%	0%	0%	0%	6
25%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
56.3%	0%	0%	100%	0%	0%	0%	10
56.3%	0%	0%	100%	0%	0%	0%	11
65.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 42 to 27 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-<=: 80.0ms (46.7% of total)

...c/correct-round.rkt:119:19: 36.0ms (21% of total)

ival-add: 27.0ms (15.8% of total)

ival-mult: 13.0ms (7.6% of total)

ival-and: 12.0ms (7% of total)

const: 4.0ms (2.3% of total)

backward-pass: 1.0ms (0.6% of total)

sample1.9s (27.8%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 718.0ms

ival-<=: 290.0ms (40.4% of total)

...c/correct-round.rkt:119:19: 153.0ms (21.3% of total)

ival-add: 139.0ms (19.3% of total)

ival-mult: 62.0ms (8.6% of total)

ival-and: 53.0ms (7.4% of total)

const: 17.0ms (2.4% of total)

backward-pass: 4.0ms (0.6% of total)

Bogosity

preprocess112.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

3456×	`sum4-define`
2016×	`fnmadd-define`
1430×	`sum3-define`
962×	`unsub-neg`
750×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	100
1	179	100
2	629	97
3	1993	97
4	6082	97
5	6937	97
6	7378	97
7	7400	97
8	7400	97
0	7	6
1	19	6
2	46	6
3	96	6
4	118	6
5	119	6
0	119	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* a (+ (+ b c) d))

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

Call 2

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

Outputs
(* a (+ (+ b c) d))
(* a (sum3 b c d))
(* (neg a) (+ (+ b c) d))
(* (sum3 b c d) (neg a))
(* a (+ (+ (neg b) c) d))
(* a (+ d (- c b)))
(* a (+ (+ b (neg c)) d))
(* a (+ b (- d c)))
(* a (+ (+ b c) (neg d)))
(* a (+ b (- c d)))
(neg (* (neg a) (+ (+ b c) d)))
(* a (sum3 b c d))
(neg (* a (+ (+ (neg b) c) d)))
(* a (- (- b c) d))
(neg (* a (+ (+ b (neg c)) d)))
(* a (- c (+ b d)))
(neg (* a (+ (+ b c) (neg d))))
(* a (- d (+ b c)))
(* b (+ (+ a c) d))
(* b (sum3 a c d))
(* c (+ (+ b a) d))
(* c (sum3 a b d))
(* d (+ (+ b c) a))
(* d (sum3 a b c))
(* a (+ (+ c b) d))
(* a (sum3 b c d))
(* a (+ (+ d c) b))
(* a (sum3 b c d))
(* a (+ (+ b d) c))
(* a (sum3 b c d))

Symmetry

(negabs a)

(sort b c d)

explain116.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

67.0ms	510×	0	valid
23.0ms	2×	1	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 28.0ms (76% of total)

ival-mult: 8.0ms (21.7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 b c)
✓	cost-diff	(+.f64 (+.f64 b c) d)
✓	cost-diff	(*.f64 a (+.f64 (+.f64 b c) d))

Rules

56×	`fma-define`
48×	`fma-lowering-fma.f32`
48×	`+-lowering-+.f64`
48×	`+-lowering-+.f32`
48×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	19	17
2	46	17
3	96	17
4	118	17
5	119	17
0	119	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* a (+ (+ b c) d))
a
(+ (+ b c) d)
(+ b c)
b
c
d

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

localize33.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

26.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-add: 3.0ms (60.3% of total)

ival-mult: 2.0ms (40.2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

3 → 108

Calls

Call 1

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

Outputs
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ c d))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (* a b)>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* a (+ b d))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* a (+ b c))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (+ c d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt b>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (+ b d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (+ b c)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt c>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt b>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt b>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt c>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>

Calls

27 calls:

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

rewrite313.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3572×	`-lowering-.f32`
3572×	`-lowering-.f64`
2634×	`/-lowering-/.f32`
2634×	`/-lowering-/.f64`
1576×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	44	13
2	422	13
3	6271	13
0	8448	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(* a (+ (+ b c) d))
(+ (+ b c) d)
(+ b c)

Outputs
(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 b c)))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a c) (.f64 a (+.f64 b d)))
(+.f64 (.f64 a c) (.f64 (+.f64 b d) a))
(+.f64 (.f64 a c) (+.f64 (.f64 a b) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 b d)) (.f64 a c))
(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))
(+.f64 (+.f64 (.f64 a d) (.f64 a b)) (*.f64 a c))
(-.f64 (/.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 a (+.f64 b (-.f64 c d)))) (/.f64 (.f64 a (.f64 d (.f64 a d))) (.f64 a (+.f64 b (-.f64 c d)))))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 b a (*.f64 a (+.f64 c d)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
(/.f64 (+.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c))))) (.f64 (.f64 a d) (.f64 a (.f64 d (.f64 a d))))) (+.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (-.f64 (.f64 a d) (*.f64 a (+.f64 b c))))))
(/.f64 (+.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c))))) (.f64 (.f64 a d) (.f64 a (.f64 d (.f64 a d))))) (+.f64 (.f64 a (.f64 d (.f64 a d))) (-.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (+.f64 b c) (.f64 a (*.f64 a d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (-.f64 (.f64 a d) (.f64 a (+.f64 b c))))) (+.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c))))) (.f64 (.f64 a d) (.f64 a (.f64 d (*.f64 a d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b (-.f64 c d))) (.f64 (.f64 a (+.f64 b (+.f64 c d))) (.f64 a (+.f64 b (-.f64 c d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b (-.f64 c d)))) (.f64 a (+.f64 (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (-.f64 c d)) (.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (-.f64 c d)) a))))
(/.f64 (.f64 (.f64 a (+.f64 b (+.f64 c d))) (.f64 a (+.f64 b (-.f64 c d)))) (.f64 a (+.f64 b (-.f64 c d))))
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 d (.f64 d d)))) (+.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b (-.f64 c d)))))
(/.f64 (.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (-.f64 c d)) a)) (+.f64 b (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c))))) (.f64 (.f64 a d) (.f64 a (.f64 d (.f64 a d)))))) (neg.f64 (+.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (-.f64 (.f64 a d) (*.f64 a (+.f64 b c)))))))
(/.f64 (neg.f64 (.f64 (.f64 a (+.f64 b (+.f64 c d))) (.f64 a (+.f64 b (-.f64 c d))))) (neg.f64 (.f64 a (+.f64 b (-.f64 c d)))))
(/.f64 (neg.f64 (.f64 a (+.f64 (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 d (.f64 d d))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b (-.f64 c d))))))
(/.f64 (neg.f64 (.f64 (+.f64 b (+.f64 c d)) (.f64 (+.f64 b (-.f64 c d)) a))) (-.f64 #s(literal 0 binary64) (+.f64 b (-.f64 c d))))
(/.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 (.f64 a (+.f64 c d)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (-.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d))) (.f64 (.f64 a b) (*.f64 a (+.f64 c d))))))
(/.f64 (-.f64 (.f64 a (.f64 d (.f64 a d))) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c))))) (-.f64 (.f64 a d) (.f64 a (+.f64 b c))))
(/.f64 (-.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d)))) (-.f64 (.f64 a b) (.f64 a (+.f64 c d))))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
(/.f64 (.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 d (.f64 d d))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b (-.f64 c d))))))
(/.f64 (.f64 a (.f64 (+.f64 b (+.f64 c d)) (-.f64 #s(literal 0 binary64) (+.f64 b (-.f64 c d))))) (-.f64 #s(literal 0 binary64) (+.f64 b (-.f64 c d))))
(/.f64 (.f64 a (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))))) (+.f64 (.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (.f64 a (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (-.f64 b (+.f64 c d)))
(/.f64 (.f64 a (-.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c)))) (-.f64 d (+.f64 b c)))
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 d (.f64 d d)))) a) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b (-.f64 c d))))))
(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 #s(literal 0 binary64) (+.f64 b (-.f64 c d)))) a) (-.f64 #s(literal 0 binary64) (+.f64 b (-.f64 c d))))
(/.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) a) (+.f64 (.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c))) a) (-.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 b (+.f64 c d)) a)
(.f64 (+.f64 (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 d (.f64 d d))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b (-.f64 c d))))) a))
(.f64 (+.f64 (.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c))) (.f64 d (.f64 d d))) (/.f64 a (+.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b (-.f64 c d))))))
(.f64 (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (-.f64 c d))) a))
(.f64 (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)) (/.f64 a (+.f64 b (-.f64 c d))))
(.f64 (+.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c))))) (.f64 (.f64 a d) (.f64 a (.f64 d (.f64 a d))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (-.f64 (.f64 a d) (.f64 a (+.f64 b c)))))))
(.f64 (.f64 (.f64 a (+.f64 b (+.f64 c d))) (.f64 a (+.f64 b (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (-.f64 c d)))))
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(+.f64 b c)
(+.f64 c b)
(+.f64 (/.f64 (.f64 b b) (-.f64 b c)) (neg.f64 (/.f64 (.f64 c c) (-.f64 b c))))
(-.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (.f64 c c) (-.f64 b c)))
(-.f64 (/.f64 (.f64 c c) (-.f64 c b)) (/.f64 (.f64 b b) (-.f64 c b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b c)))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c))) (+.f64 (.f64 b b) (.f64 c (-.f64 c b))))
(/.f64 (-.f64 (.f64 b b) (.f64 c c)) (-.f64 b c))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 c (-.f64 c b)))))
(/.f64 (*.f64 (+.f64 b c) (-.f64 #s(literal 0 binary64) (-.f64 b c))) (-.f64 #s(literal 0 binary64) (-.f64 b c)))
(/.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))) (.f64 (+.f64 (.f64 b b) (.f64 c (-.f64 c b))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (-.f64 (.f64 c (.f64 c c)) (.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 c b) (-.f64 (.f64 c c) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c)))) (.f64 (-.f64 b c) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c c) (+.f64 (.f64 b b) (.f64 c c))))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c)))) (.f64 (+.f64 (.f64 b b) (.f64 c (-.f64 c b))) (-.f64 (.f64 b (.f64 b b)) (.f64 c (*.f64 c c)))))
(/.f64 (-.f64 (.f64 c c) (.f64 b b)) (-.f64 c b))
(/.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 c (.f64 c (.f64 c c)))) (.f64 (-.f64 b c) (+.f64 (.f64 b b) (*.f64 c c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c))))
(/.f64 (-.f64 (.f64 (.f64 b b) (-.f64 b c)) (.f64 (-.f64 b c) (.f64 c c))) (*.f64 (-.f64 b c) (-.f64 b c)))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 c (.f64 c (.f64 c c)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 b b) (.f64 c c)) (-.f64 b c)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (-.f64 (.f64 c (.f64 c c)) (.f64 b (.f64 b b))))) (+.f64 (.f64 b b) (.f64 c (-.f64 c b)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c c) (+.f64 (.f64 b b) (*.f64 c c)))) (-.f64 b c)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c))) (+.f64 (.f64 b b) (.f64 c (-.f64 c b)))))
(/.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c))) #s(literal 1 binary64)) (+.f64 (.f64 b b) (*.f64 c (-.f64 c b))))
(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 c c)) #s(literal 1 binary64)) (-.f64 b c))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 c (-.f64 c b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b c) (-.f64 #s(literal 0 binary64) (-.f64 b c)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b c))))
(/.f64 (neg.f64 (-.f64 (.f64 c c) (.f64 b b))) (neg.f64 (-.f64 c b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b b) (-.f64 b c)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 c c) (-.f64 b c)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (.f64 b b) (-.f64 b c))) (+.f64 (.f64 (/.f64 (.f64 c c) (-.f64 b c)) (/.f64 (.f64 c c) (-.f64 b c))) (.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (.f64 b b) (-.f64 b c))) (.f64 (/.f64 (.f64 c c) (-.f64 b c)) (/.f64 (.f64 c c) (-.f64 b c)))) (+.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (.f64 c c) (-.f64 b c))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 c (-.f64 c b))))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (-.f64 (.f64 c (.f64 c c)) (.f64 b (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 c (-.f64 c b))))) (-.f64 (.f64 b (.f64 b b)) (.f64 c (*.f64 c c))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 b c))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c c) (+.f64 (.f64 b b) (.f64 c c)))))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 c (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 b c))) (+.f64 (.f64 b b) (*.f64 c c)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c)) #s(literal -1 binary64))
(.f64 (+.f64 b c) (.f64 (-.f64 b c) (/.f64 #s(literal 1 binary64) (-.f64 b c))))
(*.f64 (+.f64 b c) (/.f64 (-.f64 b c) (-.f64 b c)))
(.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 c (-.f64 c b)))))
(.f64 (+.f64 (.f64 b b) (.f64 c (-.f64 c b))) (.f64 (+.f64 b c) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 c (-.f64 c b))))))
(.f64 (+.f64 (.f64 b b) (.f64 c (-.f64 c b))) (/.f64 (+.f64 b c) (+.f64 (.f64 b b) (*.f64 c (-.f64 c b)))))
(.f64 (-.f64 (.f64 b b) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 b c)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (*.f64 c (-.f64 c b))))))
(.f64 (.f64 (+.f64 b c) (-.f64 #s(literal 0 binary64) (-.f64 b c))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b c))))
(*.f64 #s(literal 1 binary64) (+.f64 b c))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 c (-.f64 c b)))) (+.f64 (.f64 b (.f64 b b)) (.f64 c (*.f64 c c))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b c)) (-.f64 (.f64 b b) (*.f64 c c)))
(.f64 (-.f64 (.f64 c c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 c b)))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c c)) (-.f64 (.f64 b b) (*.f64 c c))) (+.f64 b c))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 c (-.f64 c b)) (.f64 (.f64 c (-.f64 c b)) (.f64 c (-.f64 c b)))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (-.f64 c b)) (-.f64 (.f64 c (-.f64 c b)) (.f64 b b)))))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (-.f64 c b)) (.f64 c (-.f64 c b))))) (-.f64 (.f64 b b) (*.f64 c (-.f64 c b))))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c c)) (-.f64 (.f64 b (.f64 b b)) (.f64 c (.f64 c c)))) (+.f64 (.f64 b b) (*.f64 c (+.f64 b c))))

simplify177.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2422×	`-lowering-.f32`
2422×	`-lowering-.f64`
1844×	`fnmadd-define`
1184×	`/-lowering-/.f32`
1184×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	516
1	292	450
2	886	450
3	2781	450
0	8007	450

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
c
(+ b c)
(+ b c)
(+ b c)
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
b
(+ b c)
(+ b c)
(+ b c)
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))

Outputs
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b d))
(*.f64 a (+.f64 b d))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 d (+.f64 b c))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 d (+.f64 b c))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 d (+.f64 b c))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 d (+.f64 b c))
(+ b d)
(+.f64 b d)
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 d (+.f64 b c))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 d (+.f64 b c))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 d (+.f64 b c))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 d (+.f64 b c))
(+ b c)
(+.f64 b c)
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 d (+.f64 b c))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 d (+.f64 b c))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 d (+.f64 b c))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 d (+.f64 b c))
c
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
b
(* b (+ 1 (/ c b)))
(+.f64 b c)
(* b (+ 1 (/ c b)))
(+.f64 b c)
(* b (+ 1 (/ c b)))
(+.f64 b c)
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
b
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
c
(* c (+ 1 (/ b c)))
(+.f64 b c)
(* c (+ 1 (/ b c)))
(+.f64 b c)
(* c (+ 1 (/ b c)))
(+.f64 b c)
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)

eval46.0ms (0.7%)

Compiler: Compiled 6579 to 697 computations (89.4% saved)

prune37.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	292	6	298
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	293	6	299

Accuracy

100.0%

Counts

299 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.0%	(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c))) a) (-.f64 d (+.f64 b c)))
▶	90.1%	(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
▶	99.6%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
▶	100.0%	(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))
▶	99.9%	(*.f64 a (+.f64 c d))
▶	92.9%	(*.f64 a d)

Compiler

Compiled 176 to 98 computations (44.3% saved)

simplify195.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b (+.f64 c d))
✓	cost-diff	0	(*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a)
✓	cost-diff	768	(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
✓	cost-diff	0	(+.f64 c d)
✓	cost-diff	0	(+.f64 b (+.f64 c d))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d)))
✓	cost-diff	128	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
✓	cost-diff	0	(+.f64 c d)
✓	cost-diff	0	(*.f64 a (+.f64 c d))
✓	cost-diff	0	(*.f64 a d)
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(+.f64 b d)
✓	cost-diff	0	(*.f64 (+.f64 b d) a)
✓	cost-diff	128	(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))

Rules

2754×	`-lowering-.f32`
2754×	`-lowering-.f64`
1528×	`fnmadd-define`
1248×	`sum4-define`
1084×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	115
1	47	104
2	127	104
3	551	104
4	3777	104
5	6337	104
0	8275	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ b d) a) (* a c))
(* (+ b d) a)
(+ b d)
b
d
a
(* a c)
c
(* a d)
a
d
(* a (+ c d))
a
(+ c d)
c
d
(/ a (/ 1 (+ b (+ c d))))
a
(/ 1 (+ b (+ c d)))
1
(+ b (+ c d))
b
(+ c d)
c
d
(/ (* (* (+ b (+ c d)) (- b (+ c d))) a) (- b (+ c d)))
(* (* (+ b (+ c d)) (- b (+ c d))) a)
(* (+ b (+ c d)) (- b (+ c d)))
(+ b (+ c d))
b
(+ c d)
c
d
(- b (+ c d))
a

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

localize130.0ms (1.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b (+.f64 c d))
✓	accuracy	99.9%	(*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))
✓	accuracy	98.8%	(.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a)
✓	accuracy	91.1%	(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	100.0%	(+.f64 b (+.f64 c d))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d)))
✓	accuracy	99.6%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	99.9%	(*.f64 a (+.f64 c d))
✓	accuracy	100.0%	(*.f64 a d)
✓	accuracy	100.0%	(+.f64 b d)
✓	accuracy	100.0%	(*.f64 (+.f64 b d) a)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))

Results

99.0ms	254×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 134 to 20 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 13.0ms (39.8% of total)

ival-mult: 11.0ms (33.7% of total)

ival-div: 7.0ms (21.4% of total)

ival-sub: 1.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

series53.0ms (0.8%)

Counts

13 → 468

Calls

Call 1

Inputs
#<alt (+ (* (+ b d) a) (* a c))>
#<alt (* (+ b d) a)>
#<alt (+ b d)>
#<alt (* a c)>
#<alt (* a d)>
#<alt (* a (+ c d))>
#<alt (+ c d)>
#<alt (/ a (/ 1 (+ b (+ c d))))>
#<alt (/ 1 (+ b (+ c d)))>
#<alt (+ b (+ c d))>
#<alt (/ (* (* (+ b (+ c d)) (- b (+ c d))) a) (- b (+ c d)))>
#<alt (* (* (+ b (+ c d)) (- b (+ c d))) a)>
#<alt (* (+ b (+ c d)) (- b (+ c d)))>

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

Calls

117 calls:

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

rewrite423.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3892×	`/-lowering-/.f32`
3892×	`/-lowering-/.f64`
3512×	`-lowering-.f32`
3512×	`-lowering-.f64`
2252×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	81
1	118	65
2	1097	65
0	8364	65

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 823

Calls

Call 1

Inputs
(+ (* (+ b d) a) (* a c))
(* (+ b d) a)
(+ b d)
(* a c)
(* a d)
(* a (+ c d))
(+ c d)
(/ a (/ 1 (+ b (+ c d))))
(/ 1 (+ b (+ c d)))
(+ b (+ c d))
(/ (* (* (+ b (+ c d)) (- b (+ c d))) a) (- b (+ c d)))
(* (* (+ b (+ c d)) (- b (+ c d))) a)
(* (+ b (+ c d)) (- b (+ c d)))

Outputs
(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))
(+.f64 (.f64 a c) (.f64 (+.f64 b d) a))
(+.f64 (.f64 a (+.f64 d c)) (.f64 a b))
(+.f64 (.f64 a (+.f64 d c)) (.f64 b a))
(+.f64 (.f64 (/.f64 (+.f64 b d) a) (/.f64 (.f64 a (.f64 (+.f64 b d) a)) (-.f64 (+.f64 b d) c))) (neg.f64 (.f64 (/.f64 (.f64 a a) a) (/.f64 (.f64 c c) (-.f64 (+.f64 b d) c)))))
(+.f64 (.f64 a b) (.f64 a (+.f64 d c)))
(+.f64 (.f64 a (+.f64 b c)) (.f64 d a))
(+.f64 (.f64 b a) (.f64 a (+.f64 d c)))
(+.f64 (.f64 (+.f64 b c) a) (.f64 d a))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 b (+.f64 d c))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a (/.f64 #s(literal -1 binary64) (+.f64 b (+.f64 d c)))))
(-.f64 (.f64 (/.f64 (+.f64 b d) a) (/.f64 (.f64 a (.f64 (+.f64 b d) a)) (-.f64 (+.f64 b d) c))) (.f64 (/.f64 (.f64 a a) a) (/.f64 (.f64 c c) (-.f64 (+.f64 b d) c))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (+.f64 d c)))) (/.f64 a (/.f64 #s(literal -1 binary64) (+.f64 b (+.f64 d c)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b (+.f64 d c)))) (/.f64 a (/.f64 #s(literal -1 binary64) (+.f64 b (+.f64 d c)))))
(-.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (.f64 a c) (.f64 (+.f64 b d) a))) (/.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (-.f64 (.f64 a c) (.f64 (+.f64 b d) a))))
(-.f64 (/.f64 (.f64 (/.f64 (+.f64 b d) a) (/.f64 (.f64 a (.f64 (+.f64 b d) a)) (-.f64 (+.f64 b d) c))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 (.f64 a a) a) (/.f64 (.f64 c c) (-.f64 (+.f64 b d) c))) #s(literal 1 binary64)))
(fma.f64 b a (*.f64 a (+.f64 d c)))
(fma.f64 (+.f64 b d) a (*.f64 a c))
(fma.f64 a b (*.f64 a (+.f64 d c)))
(fma.f64 a (+.f64 b d) (*.f64 a c))
(fma.f64 a c (*.f64 (+.f64 b d) a))
(fma.f64 a (+.f64 d c) (*.f64 a b))
(fma.f64 a (+.f64 d c) (*.f64 b a))
(fma.f64 a (+.f64 b c) (*.f64 d a))
(fma.f64 c a (*.f64 (+.f64 b d) a))
(fma.f64 (+.f64 d c) a (*.f64 a b))
(fma.f64 (+.f64 d c) a (*.f64 b a))
(fma.f64 (+.f64 b c) a (*.f64 d a))
(neg.f64 (/.f64 a (/.f64 #s(literal -1 binary64) (+.f64 b (+.f64 d c)))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (+.f64 d c)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (+.f64 d c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (.f64 (+.f64 b d) (.f64 a (.f64 a c))))) (+.f64 (.f64 (.f64 (+.f64 b d) a) (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a)))) (.f64 (.f64 a c) (.f64 (.f64 a c) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (.f64 (+.f64 d c) (-.f64 (+.f64 d c) b))) (.f64 a (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (*.f64 (+.f64 d c) (+.f64 d c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a c) (.f64 (+.f64 b d) a)) (.f64 (.f64 a (+.f64 b (+.f64 d c))) (-.f64 (.f64 a c) (.f64 (+.f64 b d) a)))))
(/.f64 (+.f64 b (+.f64 d c)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (.f64 (+.f64 b (+.f64 d c)) (.f64 a (-.f64 b (+.f64 d c)))) (-.f64 b (+.f64 d c)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (+.f64 d c))))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b (+.f64 d c))))
(/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 #s(literal 0 binary64) (.f64 a (-.f64 b (+.f64 d c))))) (-.f64 #s(literal 0 binary64) (-.f64 b (+.f64 d c))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 b d) a) (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a)))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c)))) (+.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (.f64 (.f64 a c) (-.f64 (.f64 a c) (*.f64 (+.f64 b d) a)))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 b d) a) (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a)))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c)))) (+.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (.f64 (+.f64 b d) (.f64 a (*.f64 a c))))))
(/.f64 (.f64 (.f64 a (+.f64 b (+.f64 d c))) (.f64 a (-.f64 (+.f64 b d) c))) (.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (/.f64 (-.f64 b (+.f64 d c)) a))
(/.f64 (.f64 a (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (+.f64 b d) a) (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a)))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (.f64 (.f64 a c) (-.f64 (.f64 a c) (*.f64 (+.f64 b d) a))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (+.f64 b d) a) (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a)))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))))) (neg.f64 (+.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (.f64 (+.f64 b d) (.f64 a (*.f64 a c)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a (+.f64 b (+.f64 d c))) (.f64 a (-.f64 (+.f64 b d) c)))) (-.f64 #s(literal 0 binary64) (.f64 a (-.f64 (+.f64 b d) c))))
(/.f64 (*.f64 a (+.f64 b (+.f64 d c))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 b (+.f64 d c)) (/.f64 (-.f64 b (+.f64 d c)) a)) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 d c))))
(/.f64 (.f64 (.f64 a (+.f64 b (+.f64 d c))) (-.f64 (.f64 a c) (.f64 (+.f64 b d) a))) (-.f64 (.f64 a c) (.f64 (+.f64 b d) a)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (.f64 a (-.f64 (+.f64 b d) c))) (.f64 (.f64 a (-.f64 (+.f64 b d) c)) (.f64 (.f64 a c) (.f64 a c)))) (.f64 (.f64 a (-.f64 (+.f64 b d) c)) (*.f64 a (-.f64 (+.f64 b d) c))))
(/.f64 (neg.f64 (*.f64 a (+.f64 b (+.f64 d c)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 a (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (+.f64 b d) a) (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a)))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 b d) (.f64 a (.f64 (+.f64 b d) a))) (.f64 (.f64 a c) (-.f64 (.f64 a c) (*.f64 (+.f64 b d) a)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a (+.f64 b (+.f64 d c))) (.f64 a (-.f64 (+.f64 b d) c))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (.f64 (.f64 a (+.f64 b (+.f64 d c))) (-.f64 (.f64 a c) (.f64 (+.f64 b d) a)))) (neg.f64 (-.f64 (.f64 a c) (.f64 (+.f64 b d) a))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 (.f64 a b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (+.f64 d c))) (-.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a (+.f64 d c)) (*.f64 a b)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 d c) (-.f64 b (+.f64 d c))) #s(literal 3 binary64)) (pow.f64 (.f64 b (-.f64 b (+.f64 d c))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (+.f64 d c) (-.f64 b (+.f64 d c))) (.f64 (+.f64 d c) (-.f64 b (+.f64 d c)))) (-.f64 (.f64 (.f64 b (-.f64 b (+.f64 d c))) (.f64 b (-.f64 b (+.f64 d c)))) (.f64 (.f64 (+.f64 d c) (-.f64 b (+.f64 d c))) (*.f64 b (-.f64 b (+.f64 d c)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b c) (-.f64 b (+.f64 d c))) #s(literal 3 binary64)) (pow.f64 (.f64 d (-.f64 b (+.f64 d c))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (+.f64 b c) (-.f64 b (+.f64 d c))) (.f64 (+.f64 b c) (-.f64 b (+.f64 d c)))) (-.f64 (.f64 (.f64 d (-.f64 b (+.f64 d c))) (.f64 d (-.f64 b (+.f64 d c)))) (.f64 (.f64 (+.f64 b c) (-.f64 b (+.f64 d c))) (*.f64 d (-.f64 b (+.f64 d c)))))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 d c) (+.f64 d c))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 d c) (+.f64 d c))))) (-.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 d c) (+.f64 d c)))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 d c)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 d c)))) (-.f64 (.f64 b b) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 d c))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))) (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 d c)) (.f64 (+.f64 d c) (+.f64 d c))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 d c)) (.f64 (+.f64 d c) (+.f64 d c))))) (-.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 d c)) (*.f64 (+.f64 d c) (+.f64 d c)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 b (+.f64 d c)) b) (.f64 (+.f64 b (+.f64 d c)) b)) (.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 #s(literal 0 binary64) (+.f64 d c))) (.f64 (+.f64 b (+.f64 d c)) (-.f64 #s(literal 0 binary64) (+.f64 d c))))) (-.f64 (.f64 (+.f64 b (+.f64 d c)) b) (.f64 (+.f64 b (+.f64 d c)) (-.f64 #s(literal 0 binary64) (+.f64 d c)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 b (+.f64 d c)) b) (.f64 (-.f64 b (+.f64 d c)) b)) (.f64 (.f64 (-.f64 b (+.f64 d c)) (+.f64 d c)) (.f64 (-.f64 b (+.f64 d c)) (+.f64 d c)))) (-.f64 (.f64 (-.f64 b (+.f64 d c)) b) (.f64 (-.f64 b (+.f64 d c)) (+.f64 d c))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 b (+.f64 d c)) (+.f64 d c)) (.f64 (-.f64 b (+.f64 d c)) (+.f64 d c))) (.f64 (.f64 (-.f64 b (+.f64 d c)) b) (.f64 (-.f64 b (+.f64 d c)) b))) (-.f64 (.f64 (-.f64 b (+.f64 d c)) (+.f64 d c)) (.f64 (-.f64 b (+.f64 d c)) b)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 b (+.f64 d c)) (+.f64 b c)) (.f64 (-.f64 b (+.f64 d c)) (+.f64 b c))) (.f64 (.f64 (-.f64 b (+.f64 d c)) d) (.f64 (-.f64 b (+.f64 d c)) d))) (-.f64 (.f64 (-.f64 b (+.f64 d c)) (+.f64 b c)) (.f64 (-.f64 b (+.f64 d c)) d)))
(/.f64 (-.f64 (.f64 (.f64 b (+.f64 b (+.f64 d c))) (.f64 b (+.f64 b (+.f64 d c)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 b (+.f64 d c))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 b (+.f64 d c))))) (-.f64 (.f64 b (+.f64 b (+.f64 d c))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 d c)) (+.f64 b (+.f64 d c)))))
(/.f64 (-.f64 (.f64 (.f64 b (-.f64 b (+.f64 d c))) (.f64 b (-.f64 b (+.f64 d c)))) (.f64 (.f64 (+.f64 d c) (-.f64 b (+.f64 d c))) (.f64 (+.f64 d c) (-.f64 b (+.f64 d c))))) (-.f64 (.f64 b (-.f64 b (+.f64 d c))) (.f64 (+.f64 d c) (-.f64 b (+.f64 d c)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 d c) (-.f64 b (+.f64 d c))) (.f64 (+.f64 d c) (-.f64 b (+.f64 d c)))) (.f64 (.f64 b (-.f64 b (+.f64 d c))) (.f64 b (-.f64 b (+.f64 d c))))) (-.f64 (.f64 (+.f64 d c) (-.f64 b (+.f64 d c))) (.f64 b (-.f64 b (+.f64 d c)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) (-.f64 b (+.f64 d c))) (.f64 (+.f64 b c) (-.f64 b (+.f64 d c)))) (.f64 (.f64 d (-.f64 b (+.f64 d c))) (.f64 d (-.f64 b (+.f64 d c))))) (-.f64 (.f64 (+.f64 b c) (-.f64 b (+.f64 d c))) (.f64 d (-.f64 b (+.f64 d c)))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))))
(*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 d c))) (.f64 (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 b (+.f64 d c))))
(*.f64 (-.f64 b (+.f64 d c)) (+.f64 b (+.f64 d c)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 d c))) (.f64 (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (-.f64 b (+.f64 d c))))
(.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))) (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (*.f64 (+.f64 d c) (+.f64 d c))))))
(.f64 (.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b (+.f64 d c)) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 b (+.f64 d c)))))))
(.f64 (.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))))
(.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 b (+.f64 d c)))) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) b))))))
(.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))) (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (*.f64 (+.f64 d c) (+.f64 d c))))))
(.f64 (.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b (+.f64 d c)) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (-.f64 (+.f64 d c) b))))))
(.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 b b) (.f64 (+.f64 d c) (-.f64 (+.f64 d c) b))) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 b (+.f64 d c)))))))
(.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (+.f64 (.f64 (.f64 (+.f64 d c) (+.f64 d c)) (.f64 (+.f64 d c) (+.f64 d c))) (.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 d c)))))))
(.f64 (.f64 (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 d c))) (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (+.f64 d c)))))
(.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 b (+.f64 d c))))))
(.f64 (.f64 (+.f64 b (+.f64 d c)) (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 d c))))
(.f64 (.f64 (-.f64 b (+.f64 d c)) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (-.f64 (+.f64 d c) b)))))
(.f64 (.f64 (-.f64 b (+.f64 d c)) (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 d c))))
(.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))) (-.f64 b (+.f64 d c))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (-.f64 (+.f64 d c) b)))))
(.f64 (.f64 (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (-.f64 b (+.f64 d c))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 d c))))
(.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))) (+.f64 b (+.f64 d c))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 b (+.f64 d c))))))
(.f64 (.f64 (*.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 b (+.f64 d c))) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 d c))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 (+.f64 b (+.f64 d c)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (-.f64 (+.f64 d c) b))))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 (-.f64 b (+.f64 d c)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 b (+.f64 d c)))))))
(*.f64 (/.f64 (+.f64 b (+.f64 d c)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (+.f64 d c))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) #s(literal 1 binary64)) (/.f64 (+.f64 b (+.f64 d c)) (+.f64 b (+.f64 d c))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) #s(literal 1 binary64)) (/.f64 (-.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))))
(.f64 (/.f64 (+.f64 b (+.f64 d c)) (+.f64 b (+.f64 d c))) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 b (+.f64 d c)) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (-.f64 (+.f64 d c) b))))))
(.f64 (/.f64 (+.f64 b (+.f64 d c)) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))))) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (+.f64 b (+.f64 d c))))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) #s(literal -1 binary64)) (/.f64 (+.f64 b (+.f64 d c)) (-.f64 #s(literal 0 binary64) (+.f64 b (+.f64 d c)))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))))) (/.f64 (+.f64 b (+.f64 d c)) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (+.f64 b (+.f64 d c))))))
(.f64 (/.f64 (-.f64 b (+.f64 d c)) (-.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c))))) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (+.f64 d c) (+.f64 b (+.f64 d c)))))))
(.f64 (/.f64 (-.f64 b (+.f64 d c)) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))))) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) b)))))
(.f64 (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (/.f64 (.f64 (+.f64 b (+.f64 d c)) (-.f64 b (+.f64 d c))) (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 d c) (.f64 (+.f64 d c) (+.f64 d c)))))) (/.f64 (-.f64 b (+.f64 d c)) (+.f64 (.f64 b b) (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) b)))))

simplify524.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

3686×	`-lowering-.f32`
3686×	`-lowering-.f64`
2766×	`+-lowering-+.f64`
2766×	`+-lowering-+.f32`
2004×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	4540
1	1763	4034
2	6008	3975
0	8038	3975

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

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

eval335.0ms (4.9%)

Compiler: Compiled 41195 to 3225 computations (92.2% saved)

prune143.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1644	3	1647
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1648	5	1653

Accuracy

100.0%

Counts

1653 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(/.f64 a (/.f64 #s(literal 1 binary64) d))
▶	100.0%	(+.f64 (.f64 d a) (.f64 a c))
✓	99.9%	(*.f64 a (+.f64 c d))
▶	99.9%	(.f64 a (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
✓	92.9%	(*.f64 a d)

Compiler

Compiled 49 to 34 computations (30.6% saved)

simplify396.0ms (5.8%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

7652×	`-lowering-.f32`
7652×	`-lowering-.f64`
3124×	`cube-prod`
1558×	`swap-sqr`
1436×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	33	54
2	76	51
3	191	42
4	317	42
5	474	42
6	957	42
7	1380	42
8	1646	42
9	2321	42
10	3578	42
11	4140	42
12	5008	42
13	5430	42
14	5515	42
15	5617	42
16	5699	42
17	5781	42
18	6619	42
0	8068	42

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* a (* d (+ 1 (/ c d))))
a
(* d (+ 1 (/ c d)))
d
(+ 1 (/ c d))
1
(/ c d)
c
(+ (* d a) (* a c))
(* d a)
d
a
(* a c)
c
(/ a (/ 1 d))
a
(/ 1 d)
1
d

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

localize112.0ms (1.7%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) d)
✓	accuracy	99.6%	(/.f64 a (/.f64 #s(literal 1 binary64) d))
✓	accuracy	100.0%	(*.f64 d a)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 d a) (.f64 a c))
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 c d))
✓	accuracy	99.9%	(.f64 a (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
✓	accuracy	99.9%	(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d)))

Results

92.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 60 to 15 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (44.2% of total)

ival-div: 6.0ms (37.9% of total)

ival-add: 2.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Counts

9 → 228

Calls

Call 1

Inputs
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (+ 1 (/ c d))>
#<alt (/ c d)>
#<alt (+ (* d a) (* a c))>
#<alt (* d a)>
#<alt (* a c)>
#<alt (/ a (/ 1 d))>
#<alt (/ 1 d)>

Outputs
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt 1>
#<alt (+ 1 (/ c d))>
#<alt (+ 1 (/ c d))>
#<alt (+ 1 (/ c d))>
#<alt (/ c d)>
#<alt (* c (+ (/ 1 c) (/ 1 d)))>
#<alt (* c (+ (/ 1 c) (/ 1 d)))>
#<alt (* c (+ (/ 1 c) (/ 1 d)))>
#<alt (/ c d)>
#<alt (* c (+ (/ 1 c) (/ 1 d)))>
#<alt (* c (+ (/ 1 c) (/ 1 d)))>
#<alt (* c (+ (/ 1 c) (/ 1 d)))>
#<alt (/ c d)>
#<alt (/ (+ c d) d)>
#<alt (/ (+ c d) d)>
#<alt (/ (+ c d) d)>
#<alt 1>
#<alt (+ 1 (/ c d))>
#<alt (+ 1 (/ c d))>
#<alt (+ 1 (/ c d))>
#<alt 1>
#<alt (+ 1 (/ c d))>
#<alt (+ 1 (/ c d))>
#<alt (+ 1 (/ c d))>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>

Calls

57 calls:

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

rewrite239.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3698×	`-lowering-.f32`
3698×	`-lowering-.f64`
2530×	`/-lowering-/.f32`
2530×	`/-lowering-/.f64`
1122×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	78	44
2	613	32
0	8030	32

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 507

Calls

Call 1

Inputs
(* a (* d (+ 1 (/ c d))))
(* d (+ 1 (/ c d)))
(+ 1 (/ c d))
(/ c d)
(+ (* d a) (* a c))
(* d a)
(* a c)
(/ a (/ 1 d))
(/ 1 d)

Outputs
(+.f64 (.f64 a d) (.f64 a c))
(+.f64 (.f64 a c) (.f64 a d))
(+.f64 (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) (neg.f64 (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c))))))
(-.f64 (.f64 a c) (-.f64 #s(literal 0 binary64) (.f64 a d)))
(-.f64 (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c)))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 a (-.f64 c d))) (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 c d))))
(fma.f64 a d (*.f64 a c))
(fma.f64 a c (*.f64 a d))
(fma.f64 d a (*.f64 a c))
(fma.f64 #s(literal 1 binary64) (.f64 a d) (.f64 a c))
(fma.f64 c a (*.f64 a d))
(fma.f64 (/.f64 c d) (.f64 a d) (.f64 a d))
(fma.f64 (.f64 a d) #s(literal 1 binary64) (.f64 a c))
(fma.f64 (.f64 a d) (/.f64 c d) (.f64 a d))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) d) (*.f64 a c))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a d)) (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 c d)) (-.f64 #s(literal 0 binary64) (.f64 a d))))
(neg.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (*.f64 a (-.f64 c d)))))))
(neg.f64 (/.f64 (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (*.f64 a (-.f64 c d))))))
(neg.f64 (/.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c))) (.f64 a (-.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 d c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (-.f64 c d)) (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 d c))) (.f64 a (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) (/.f64 (/.f64 d c) (/.f64 c d))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 c d)) (.f64 a (.f64 d (-.f64 #s(literal 1 binary64) (/.f64 c (/.f64 d (/.f64 c d))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 c d)) (/.f64 #s(literal 1 binary64) (*.f64 a d)))
(/.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(/.f64 (*.f64 a (+.f64 d c)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 d c)))))
(/.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (*.f64 a (-.f64 c d)))))
(/.f64 (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))) (.f64 a (-.f64 d c)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (*.f64 a (-.f64 c d))))))
(/.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c))) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))))))) (.f64 (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))) (+.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (-.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))))) (.f64 (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d))))))))
(/.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (.f64 (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (*.f64 c c))))))
(/.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (.f64 (.f64 a (-.f64 d c)) (+.f64 (.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (+.f64 (.f64 d d) (.f64 c c)))))))
(/.f64 (.f64 (.f64 (.f64 a a) (+.f64 (.f64 d d) (.f64 c c))) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c))))) (.f64 (.f64 a (-.f64 d c)) (.f64 (.f64 a a) (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (+.f64 d c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d))) (/.f64 #s(literal 1 binary64) d))
(/.f64 (.f64 a (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) (/.f64 (/.f64 d c) (/.f64 c d)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 d c))))
(/.f64 (.f64 a (.f64 d (-.f64 #s(literal 1 binary64) (/.f64 c (/.f64 d (/.f64 c d)))))) (-.f64 #s(literal 1 binary64) (/.f64 c d)))
(/.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d))) (.f64 a (-.f64 c d)))
(/.f64 (-.f64 (.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) (.f64 (.f64 a (-.f64 d c)) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 a (-.f64 d c)) (*.f64 a (-.f64 d c))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (*.f64 a (-.f64 c d)))))))
(/.f64 (neg.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c)))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c))))
(/.f64 (neg.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d)))) (neg.f64 (.f64 a (-.f64 c d))))
(/.f64 (neg.f64 (.f64 a (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) (/.f64 (/.f64 d c) (/.f64 c d))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 d c)))))
(/.f64 (neg.f64 (.f64 a (.f64 d (-.f64 #s(literal 1 binary64) (/.f64 c (/.f64 d (/.f64 c d))))))) (+.f64 #s(literal -1 binary64) (/.f64 c d)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c)))) (+.f64 (.f64 (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c)))) (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c))))) (.f64 (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) (.f64 (.f64 c c) (/.f64 (.f64 a a) (*.f64 a (-.f64 d c))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c)))) (.f64 (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c)))) (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c)))))) (+.f64 (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (-.f64 d c))) (.f64 (.f64 c c) (/.f64 (.f64 a a) (.f64 a (-.f64 d c))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 c d)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 a d)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 c d)) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) d))
(/.f64 (.f64 (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))) (/.f64 #s(literal 1 binary64) d))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) d) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))) #s(literal -1 binary64))
(/.f64 (.f64 a (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (+.f64 (.f64 d d) (*.f64 c (-.f64 c d))))
(/.f64 (.f64 a (-.f64 (.f64 d d) (*.f64 c c))) (-.f64 d c))
(/.f64 (*.f64 (+.f64 d c) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 a d) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c d) (/.f64 (/.f64 d c) (/.f64 c d)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 d c)))))
(/.f64 (.f64 (.f64 a d) (+.f64 #s(literal -1 binary64) (/.f64 c (/.f64 d (/.f64 c d))))) (+.f64 #s(literal -1 binary64) (/.f64 c d)))
(/.f64 (.f64 (.f64 a d) (+.f64 (/.f64 c (/.f64 d (/.f64 c d))) #s(literal -1 binary64))) (+.f64 (/.f64 c d) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d))) (-.f64 #s(literal 0 binary64) d)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) #s(literal 1 binary64)) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))))
(/.f64 (.f64 (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))) #s(literal 1 binary64)) (*.f64 a (-.f64 d c)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 c d))) (/.f64 #s(literal -1 binary64) (.f64 a d)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))) (/.f64 #s(literal -1 binary64) d))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c d) (/.f64 (/.f64 d c) (/.f64 c d))))) (.f64 a d)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 d c)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 c (/.f64 d (/.f64 c d)))) (.f64 a d)) (+.f64 #s(literal -1 binary64) (/.f64 c d)))
(/.f64 (.f64 (+.f64 (/.f64 c (/.f64 d (/.f64 c d))) #s(literal -1 binary64)) (.f64 a d)) (+.f64 (/.f64 c d) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))) a) (+.f64 (.f64 d d) (*.f64 c (-.f64 c d))))
(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 c c)) a) (-.f64 d c))
(/.f64 (.f64 (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) (/.f64 (/.f64 d c) (/.f64 c d))))) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 d c))))
(/.f64 (.f64 (.f64 d (-.f64 #s(literal 1 binary64) (/.f64 c (/.f64 d (/.f64 c d))))) a) (-.f64 #s(literal 1 binary64) (/.f64 c d)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 c d))) (/.f64 #s(literal -1 binary64) d))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 d c)) #s(literal -1 binary64))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))))) (+.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (-.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))))) (.f64 (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (*.f64 c c)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 d c))) (+.f64 (.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 d (.f64 a (.f64 a d)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (+.f64 (.f64 d d) (*.f64 c c))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 a a) (+.f64 (.f64 d d) (.f64 c c))) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 d c))) (.f64 (.f64 a a) (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (/.f64 (.f64 a (.f64 (+.f64 d c) (*.f64 a (-.f64 d c)))) a) (-.f64 d c))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 d c))) #s(literal -1 binary64))
(*.f64 a (+.f64 d c))
(.f64 d (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(.f64 d (.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))))
(.f64 #s(literal 1 binary64) (.f64 a (+.f64 d c)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 c d)) (.f64 a d))
(.f64 (.f64 a d) (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(.f64 (.f64 a (+.f64 d c)) #s(literal 1 binary64))
(.f64 (.f64 a (+.f64 d c)) (.f64 (.f64 a (-.f64 d c)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 d c))))
(.f64 (.f64 a (+.f64 d c)) (/.f64 (.f64 a (-.f64 d c)) (.f64 a (-.f64 d c))))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) d) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))))
(.f64 (-.f64 #s(literal 0 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) d) (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) (/.f64 (/.f64 d c) (/.f64 c d)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 d c)))) (*.f64 a d)))
(.f64 (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d))))))
(.f64 (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))) (.f64 (.f64 a (+.f64 d c)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (*.f64 a (-.f64 c d)))))))
(.f64 (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))) (/.f64 (.f64 a (+.f64 d c)) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 c (/.f64 d (/.f64 c d)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 c d))) (*.f64 a d)))
(.f64 (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 d c)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d)))))))
(.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 d c))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (.f64 a c) (.f64 a (-.f64 c d))))) (.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 d c)) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))))
(*.f64 (+.f64 d c) a)
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(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 a d))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a d)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) d)) (-.f64 #s(literal 0 binary64) (*.f64 a d)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a d)))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a d)) #s(literal 1 binary64)))
(/.f64 a (/.f64 #s(literal 1 binary64) d))
(/.f64 d (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a d)))
(/.f64 (*.f64 a d) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a d)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) d))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a d)) #s(literal -1 binary64))
(/.f64 (/.f64 a (pow.f64 d #s(literal -1/2 binary64))) (pow.f64 d #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) d))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64))
(*.f64 a d)
(*.f64 d a)
(.f64 #s(literal 1 binary64) (.f64 a d))
(.f64 (.f64 a d) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a d)))
(*.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 #s(literal 0 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) d))
(*.f64 (/.f64 a (pow.f64 d #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a d)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) d))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 d)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) d))
(neg.f64 (/.f64 #s(literal -1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
(/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) d))
(/.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64))
(pow.f64 d #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))
(pow.f64 (*.f64 d d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 d)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (/.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 d #s(literal -1/2 binary64)) (.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 d #s(literal -1/2 binary64))) (pow.f64 d #s(literal -1/2 binary64)))

simplify191.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2306×	`fnmadd-define`
1662×	`fmsub-define`
1628×	`fnmsub-define`
1570×	`-lowering-.f32`
1570×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	1050
1	177	990
2	502	990
3	1550	810
4	4976	810
0	8455	810

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
c
(+ c d)
(+ c d)
(+ c d)
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
1
(+ 1 (/ c d))
(+ 1 (/ c d))
(+ 1 (/ c d))
(/ c d)
(* c (+ (/ 1 c) (/ 1 d)))
(* c (+ (/ 1 c) (/ 1 d)))
(* c (+ (/ 1 c) (/ 1 d)))
(/ c d)
(* c (+ (/ 1 c) (/ 1 d)))
(* c (+ (/ 1 c) (/ 1 d)))
(* c (+ (/ 1 c) (/ 1 d)))
(/ c d)
(/ (+ c d) d)
(/ (+ c d) d)
(/ (+ c d) d)
1
(+ 1 (/ c d))
(+ 1 (/ c d))
(+ 1 (/ c d))
1
(+ 1 (/ c d))
(+ 1 (/ c d))
(+ 1 (/ c d))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)

Outputs
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
c
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
d
(* d (+ 1 (/ c d)))
(+.f64 d c)
(* d (+ 1 (/ c d)))
(+.f64 d c)
(* d (+ 1 (/ c d)))
(+.f64 d c)
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)
d
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
c
(* c (+ 1 (/ d c)))
(+.f64 d c)
(* c (+ 1 (/ d c)))
(+.f64 d c)
(* c (+ 1 (/ d c)))
(+.f64 d c)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
1
#s(literal 1 binary64)
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(/ c d)
(/.f64 c d)
(* c (+ (/ 1 c) (/ 1 d)))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(* c (+ (/ 1 c) (/ 1 d)))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(* c (+ (/ 1 c) (/ 1 d)))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(/ c d)
(/.f64 c d)
(* c (+ (/ 1 c) (/ 1 d)))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(* c (+ (/ 1 c) (/ 1 d)))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(* c (+ (/ 1 c) (/ 1 d)))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(/ c d)
(/.f64 c d)
(/ (+ c d) d)
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(/ (+ c d) d)
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(/ (+ c d) d)
(+.f64 #s(literal 1 binary64) (/.f64 c d))
1
#s(literal 1 binary64)
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
1
#s(literal 1 binary64)
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(+ 1 (/ c d))
(+.f64 #s(literal 1 binary64) (/.f64 c d))
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)

eval90.0ms (1.3%)

Compiler: Compiled 12218 to 1104 computations (91% saved)

prune86.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	735	0	735
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	735	5	740

Accuracy

100.0%

Counts

740 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.6%	(/.f64 a (/.f64 #s(literal 1 binary64) d))
✓	100.0%	(+.f64 (.f64 d a) (.f64 a c))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	99.9%	(.f64 a (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
✓	92.9%	(*.f64 a d)

Compiler

Compiled 145 to 70 computations (51.7% saved)

regimes29.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(/.f64 a (/.f64 #s(literal 1 binary64) d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (.f64 d a) (.f64 a c))
(.f64 a (.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
(/.f64 (.f64 (-.f64 (.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c))) a) (-.f64 d (+.f64 b c)))

Outputs
(+.f64 (.f64 d a) (.f64 a c))

Calls

7 calls:

5.0ms	c
5.0ms	(+.f64 (+.f64 b c) d)
4.0ms	a
4.0ms	d
4.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes19.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 a (+.f64 c d))

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a d)

Outputs
(*.f64 a d)

Calls

4 calls:

1.0ms	c
1.0ms	d
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
92.9%	1	`a`
92.9%	1	`b`
92.9%	1	`c`
92.9%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	13	15

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 d a) (.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a d)

Outputs
(+.f64 (.f64 d a) (.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 d a)

soundness639.0ms (9.4%)

Rules

3892×	`/-lowering-/.f32`
3892×	`/-lowering-/.f64`
3512×	`-lowering-.f32`
3512×	`-lowering-.f64`
2422×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	81
1	118	65
2	1097	65
0	8364	65
0	84	516
1	292	450
2	886	450
3	2781	450
0	8007	450

Stop Event

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

Compiler

Compiled 55 to 33 computations (40% saved)

preprocess60.0ms (0.9%)

Remove: (negabs a)
Compiler: Compiled 284 to 174 computations (38.7% saved)

Expression, p14

analyze368.0ms (5.4%)

sample1.9s (27.8%)

preprocess112.0ms (1.7%)

explain116.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize33.0ms (0.5%)

series6.0ms (0.1%)

rewrite313.0ms (4.6%)

simplify177.0ms (2.6%)

eval46.0ms (0.7%)

prune37.0ms (0.5%)

simplify195.0ms (2.9%)

localize130.0ms (1.9%)

series53.0ms (0.8%)

rewrite423.0ms (6.2%)

simplify524.0ms (7.7%)

eval335.0ms (4.9%)

prune143.0ms (2.1%)

simplify396.0ms (5.8%)

localize112.0ms (1.7%)

series11.0ms (0.2%)

rewrite239.0ms (3.5%)

simplify191.0ms (2.8%)

eval90.0ms (1.3%)

prune86.0ms (1.3%)

regimes29.0ms (0.4%)

regimes19.0ms (0.3%)

regimes5.0ms (0.1%)

simplify7.0ms (0.1%)

soundness639.0ms (9.4%)

preprocess60.0ms (0.9%)

end0.0ms (0%)

Profiling