Metrics for Expression, p14

analyze361.0ms (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: 197.0ms

ival-<=: 93.0ms (47.3% of total)

...c/correct-round.rkt:119:19: 48.0ms (24.4% of total)

ival-add: 20.0ms (10.2% of total)

ival-mult: 17.0ms (8.6% of total)

ival-and: 14.0ms (7.1% of total)

const: 4.0ms (2% of total)

backward-pass: 1.0ms (0.5% of total)

sample1.9s (28.8%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 989.0ms

ival-<=: 476.0ms (48.1% of total)

...c/correct-round.rkt:119:19: 213.0ms (21.5% of total)

ival-add: 150.0ms (15.2% of total)

ival-mult: 66.0ms (6.7% of total)

ival-and: 60.0ms (6.1% of total)

const: 20.0ms (2% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess115.0ms (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)

explain96.0ms (1.4%)

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

34.0ms

512×

valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 6.0ms (57.9% of total)

ival-mult: 4.0ms (38.6% 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
▶	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (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

localize27.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

20.0ms

256×

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 (59.1% of total)

ival-mult: 2.0ms (39.4% of total)

const: 0.0ms (0% of total)

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

series7.0ms (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	b	@	inf	(+ (+ b c) d)
1.0ms	a	@	0	(* a (+ (+ b c) d))
0.0ms	b	@	-inf	(* a (+ (+ b c) d))
0.0ms	d	@	0	(+ (+ b c) d)
0.0ms	a	@	-inf	(* a (+ (+ b c) d))

rewrite294.0ms (4.4%)

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)
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(+.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))))

simplify185.0ms (2.8%)

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)

eval40.0ms (0.6%)

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

prune63.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	293	5	298
Fresh	0	0	0
Picked	0	1	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
▶	88.9%	(/.f64 (.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a) (-.f64 b (+.f64 c d)))
▶	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
▶	99.9%	(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.9%	(*.f64 a (+.f64 c d))
▶	94.4%	(*.f64 a d)

Compiler

Compiled 141 to 83 computations (41.1% saved)

simplify175.0ms (2.6%)

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

localize84.0ms (1.3%)

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	99.5%	(.f64 (.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) a)
✓	accuracy	89.3%	(/.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	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	100.0%	(*.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	99.9%	(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))

Results

58.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 134 to 20 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (46.2% of total)

ival-div: 5.0ms (21% of total)

ival-add: 5.0ms (21% of total)

ival-sub: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Counts

14 → 504

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

Calls

126 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(* (* (+ b (+ c d)) (- b (+ c d))) a)
2.0ms	b	@	-inf	(* (* (+ b (+ c d)) (- b (+ c d))) a)
2.0ms	a	@	0	(* a (+ c d))
2.0ms	a	@	-inf	(+ (* (+ b d) a) (* a c))
1.0ms	a	@	inf	(+ (* (+ b d) a) (* a c))

rewrite369.0ms (5.6%)

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	86
1	118	70
2	1097	70
0	8364	70

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 900

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

simplify352.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

3876×	`-lowering-.f32`
3876×	`-lowering-.f64`
2890×	`+-lowering-+.f64`
2890×	`+-lowering-+.f32`
1792×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	4803
1	1834	4273
2	6282	4198
0	8226	4198

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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

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

eval341.0ms (5.1%)

Compiler: Compiled 49405 to 3755 computations (92.4% saved)

prune239.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1869	4	1873
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1872	7	1879

Accuracy

100.0%

Counts

1879 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(/.f64 d (/.f64 #s(literal 1 binary64) a))
▶	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 d c)))
▶	99.9%	(+.f64 (.f64 d a) (.f64 a c))
▶	99.9%	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	94.4%	(*.f64 a d)

Compiler

Compiled 71 to 48 computations (32.4% saved)

simplify221.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

3160×	`-lowering-.f32`
3160×	`-lowering-.f64`
2616×	`fma-define`
1844×	`/-lowering-/.f32`
1844×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	37	69
2	61	69
3	116	66
4	210	60
5	367	60
6	662	60
7	1646	60
8	1989	60
9	2356	60
10	2747	60
11	3793	60
12	4328	60
13	6419	60
14	6842	60
15	7163	60
16	7316	60
17	7549	60
18	7872	60
0	8131	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize70.0ms (1.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	99.6%	(/.f64 d (/.f64 #s(literal 1 binary64) a))
✓	accuracy	100.0%	(+.f64 d c)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 d c))
✓	accuracy	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 d c)))
✓	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 a (/.f64 (*.f64 a c) d))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
✓	accuracy	99.6%	(/.f64 (*.f64 a c) d)

Results

45.0ms

256×

valid

Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (40.3% of total)

ival-mult: 7.0ms (35.2% of total)

ival-add: 4.0ms (20.1% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Counts

11 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite404.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3958×	`-lowering-.f32`
3958×	`-lowering-.f64`
2664×	`/-lowering-/.f32`
2664×	`/-lowering-/.f64`
1720×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	106	53
2	846	44
0	8726	44

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 807

Calls

Call 1

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

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

simplify309.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2698×	`-lowering-.f32`
2698×	`-lowering-.f64`
1572×	`fnmsub-define`
1370×	`/-lowering-/.f32`
1370×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1504
1	556	1436
2	1534	1421
3	5195	1421
0	8427	1421

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval288.0ms (4.3%)

Compiler: Compiled 18812 to 1597 computations (91.5% saved)

prune132.0ms (2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1194	0	1194
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	1194	7	1201

Accuracy

100.0%

Counts

1201 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.0%	(/.f64 d (/.f64 #s(literal 1 binary64) a))
✓	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 d c)))
✓	99.9%	(+.f64 (.f64 d a) (.f64 a c))
✓	99.9%	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	94.4%	(*.f64 a d)

Compiler

Compiled 155 to 80 computations (48.4% saved)

regimes29.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	c
5.0ms	(+.f64 (+.f64 b c) d)
4.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
4.0ms	(+.f64 b c)
4.0ms	a

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)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	d
2.0ms	c
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`c`
99.9%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (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	d
1.0ms	b
1.0ms	c
1.0ms	a

Results

Accuracy	Segments	Branch
94.4%	1	`a`
94.4%	1	`b`
94.4%	1	`c`
94.4%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	16	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness370.0ms (5.6%)

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 35 to 21 computations (40% saved)

preprocess86.0ms (1.3%)

Remove

(sort b c d)

(negabs a)

Compiler

Compiled 174 to 106 computations (39.1% saved)

Expression, p14

analyze361.0ms (5.4%)

sample1.9s (28.8%)

preprocess115.0ms (1.7%)

explain96.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize27.0ms (0.4%)

series7.0ms (0.1%)

rewrite294.0ms (4.4%)

simplify185.0ms (2.8%)

eval40.0ms (0.6%)

prune63.0ms (0.9%)

simplify175.0ms (2.6%)

localize84.0ms (1.3%)

series32.0ms (0.5%)

rewrite369.0ms (5.6%)

simplify352.0ms (5.3%)

eval341.0ms (5.1%)

prune239.0ms (3.6%)

simplify221.0ms (3.3%)

localize70.0ms (1.1%)

series11.0ms (0.2%)

rewrite404.0ms (6.1%)

simplify309.0ms (4.7%)

eval288.0ms (4.3%)

prune132.0ms (2%)

regimes29.0ms (0.4%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness370.0ms (5.6%)

preprocess86.0ms (1.3%)

end0.0ms (0%)

Profiling