Metrics for Expression, p14

analyze319.0ms (4.1%)

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: 153.0ms

ival-<=: 57.0ms (37.3% of total)

...c/correct-round.rkt:119:19: 41.0ms (26.9% of total)

ival-add: 22.0ms (14.4% of total)

ival-mult: 16.0ms (10.5% of total)

ival-and: 13.0ms (8.5% of total)

const: 4.0ms (2.6% of total)

backward-pass: 1.0ms (0.7% of total)

sample2.1s (26.9%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

...c/correct-round.rkt:119:19: 465.0ms (44% of total)

ival-<=: 333.0ms (31.5% of total)

ival-add: 105.0ms (9.9% of total)

ival-mult: 73.0ms (6.9% of total)

ival-and: 58.0ms (5.5% of total)

const: 18.0ms (1.7% of total)

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

Bogosity

preprocess112.0ms (1.4%)

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)

explain63.0ms (0.8%)

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

36.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 8.0ms (62.5% of total)

ival-mult: 4.0ms (31.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 c d)
✓	cost-diff	(+.f64 b (+.f64 c d))
✓	cost-diff	(*.f64 a (+.f64 b (+.f64 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: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	18	17
2	47	17
3	100	17
4	122	17
5	123	17
0	123	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize25.0ms (0.3%)

Localize:

Found 3 expressions of interest:

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

Results

17.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-add: 3.0ms (57.3% of total)

ival-mult: 2.0ms (38.2% 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 (+ c d)>

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 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)))>

Calls

27 calls:

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

rewrite331.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3554×	`-lowering-.f32`
3554×	`-lowering-.f64`
2666×	`/-lowering-/.f32`
2666×	`/-lowering-/.f64`
2016×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	13
2	430	13
3	6327	13
0	8785	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 202

Calls

Call 1

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

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

simplify165.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2422×	`-lowering-.f32`
2422×	`-lowering-.f64`
1736×	`fnmadd-define`
1184×	`/-lowering-/.f32`
1184×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	516
1	294	450
2	890	450
3	2776	450
4	7892	450
0	8406	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)))
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)))

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

eval41.0ms (0.5%)

Compiler: Compiled 6861 to 731 computations (89.3% saved)

prune37.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	305	5	310
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	305	6	311

Accuracy

100.0%

Counts

311 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
▶	100.0%	(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))
▶	99.9%	(*.f64 a (+.f64 c d))
✓	99.9%	(*.f64 a (+.f64 b (+.f64 c d)))
▶	87.3%	(.f64 a (+.f64 b (.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (-.f64 (.f64 c c) (.f64 d d)))))
▶	95.0%	(*.f64 a d)

Compiler

Compiled 137 to 89 computations (35% saved)

simplify188.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 c d))
✓	cost-diff	640	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (-.f64 (.f64 c c) (*.f64 d d)))
✓	cost-diff	640	(+.f64 b (.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (-.f64 (.f64 c c) (*.f64 d d))))
✓	cost-diff	640	(.f64 a (+.f64 b (.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (-.f64 (.f64 c c) (.f64 d 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

2130×	`-lowering-.f32`
2130×	`-lowering-.f64`
2066×	`--lowering--.f32`
2066×	`--lowering--.f64`
1478×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	106
1	62	97
2	151	97
3	506	97
4	2455	97
5	6460	97
0	8453	97

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

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

localize119.0ms (1.5%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 c c) (.f64 d d))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 c d))
✓	accuracy	99.9%	(.f64 a (+.f64 b (.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (-.f64 (.f64 c c) (.f64 d d)))))
✓	accuracy	87.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (-.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	100.0%	(+.f64 b (+.f64 c d))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d)))
✓	accuracy	99.6%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	99.9%	(*.f64 a (+.f64 c d))
✓	accuracy	100.0%	(*.f64 a d)
✓	accuracy	100.0%	(+.f64 b d)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(*.f64 (+.f64 b d) a)
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))

Results

80.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 145 to 24 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 23.0ms (49.3% of total)

ival-mult: 15.0ms (32.2% of total)

ival-div: 5.0ms (10.7% of total)

ival-sub: 2.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

series57.0ms (0.7%)

Counts

15 → 492

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

Calls

123 calls:

Time	Variable		Point	Expression
23.0ms	c	@	0	(/ 1 (+ b (+ c d)))
3.0ms	a	@	inf	(* a (+ b (* (/ 1 (- c d)) (- (* c c) (* d d)))))
2.0ms	a	@	0	(* a (+ b (* (/ 1 (- c d)) (- (* c c) (* d d)))))
2.0ms	a	@	-inf	(+ (* (+ b d) a) (* a c))
2.0ms	d	@	0	(* (/ 1 (- c d)) (- (* c c) (* d d)))

rewrite378.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3286×	`-lowering-.f32`
3286×	`-lowering-.f64`
3050×	`/-lowering-/.f32`
3050×	`/-lowering-/.f64`
2068×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	75
1	157	66
2	1475	66
0	8456	66

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 960

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

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

simplify327.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

3020×	`-lowering-.f32`
3020×	`-lowering-.f64`
2544×	`+-lowering-+.f64`
2544×	`+-lowering-+.f32`
1998×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	503	4351
1	1734	3997
2	5398	3852
0	8148	3852

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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

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

eval202.0ms (2.6%)

Compiler: Compiled 39691 to 3260 computations (91.8% saved)

prune179.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1608	3	1611
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1611	6	1617

Accuracy

100.0%

Counts

1617 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 c d)))
▶	99.9%	(+.f64 (.f64 d a) (.f64 a c))
▶	99.4%	(.f64 b (+.f64 a (.f64 a (/.f64 (+.f64 c d) b))))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	99.9%	(*.f64 a (+.f64 b (+.f64 c d)))
✓	95.0%	(*.f64 a d)

Compiler

Compiled 64 to 42 computations (34.4% saved)

simplify217.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

3264×	`-lowering-.f32`
3264×	`-lowering-.f64`
1688×	`/-lowering-/.f32`
1688×	`/-lowering-/.f64`
1672×	`+-lowering-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	36	67
2	62	67
3	123	66
4	224	64
5	423	63
6	725	63
7	2090	63
8	4680	63
9	5890	63
10	6302	63
11	6383	63
12	6389	63
13	7232	63
14	7959	63
0	8063	63

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize67.0ms (0.9%)

Localize:

Found 10 expressions of interest:

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

Results

50.0ms

256×

valid

Compiler

Compiled 79 to 16 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 9.0ms (38.7% of total)

ival-mult: 8.0ms (34.4% of total)

ival-div: 5.0ms (21.5% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Counts

10 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
5.0ms	d	@	inf	(* b (+ a (* a (/ (+ c d) b))))
2.0ms	a	@	-inf	(* b (+ a (* a (/ (+ c d) b))))
1.0ms	a	@	inf	(* b (+ a (* a (/ (+ c d) b))))
1.0ms	a	@	0	(* b (+ a (* a (/ (+ c d) b))))
1.0ms	b	@	0	(* b (+ a (* a (/ (+ c d) b))))

rewrite338.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5062×	`-lowering-.f32`
5062×	`-lowering-.f64`
3288×	`/-lowering-/.f32`
3288×	`/-lowering-/.f64`
1560×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	94	53
2	755	53
0	8413	53

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 631

Calls

Call 1

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

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

simplify311.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4542×	`-lowering-.f32`
4542×	`-lowering-.f64`
2578×	`/-lowering-/.f32`
2578×	`/-lowering-/.f64`
1732×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	2720
1	879	2556
2	2796	2404
0	8541	2404

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval317.0ms (4.1%)

Compiler: Compiled 21597 to 2331 computations (89.2% saved)

prune103.0ms (1.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1087	1	1088
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1088	6	1094

Accuracy

100.0%

Counts

1094 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 c d)))
✓	99.9%	(+.f64 (.f64 d a) (.f64 a c))
▶	94.5%	(.f64 b (+.f64 a (.f64 a (/.f64 d b))))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	99.9%	(*.f64 a (+.f64 b (+.f64 c d)))
✓	95.0%	(*.f64 a d)

Compiler

Compiled 62 to 41 computations (33.9% saved)

simplify280.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 d b)
✓	cost-diff	0	(*.f64 a (/.f64 d b))
✓	cost-diff	0	(+.f64 a (*.f64 a (/.f64 d b)))
✓	cost-diff	256	(.f64 b (+.f64 a (.f64 a (/.f64 d b))))

Rules

3038×	`associate-/l*`
2840×	`associate-/r*`
2272×	`/-lowering-/.f32`
2272×	`/-lowering-/.f64`
2132×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	18	25
2	43	25
3	79	24
4	116	22
5	164	22
6	348	22
7	933	22
8	2261	22
9	2977	22
10	3226	22
11	3275	22
12	3275	22
13	4057	22
14	4081	22
15	4082	22
16	4082	22
17	6161	22
18	6667	22
19	7613	22
0	8268	22

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize30.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 d b)
✓	accuracy	100.0%	(+.f64 a (*.f64 a (/.f64 d b)))
✓	accuracy	99.6%	(.f64 b (+.f64 a (.f64 a (/.f64 d b))))
✓	accuracy	99.6%	(*.f64 a (/.f64 d b))

Results

20.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (52.4% of total)

ival-div: 2.0ms (26.2% of total)

ival-add: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

4 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite293.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1604×	`fma-lowering-fma.f32`
1604×	`fma-lowering-fma.f64`
1472×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	39	22
2	305	22
3	3776	22
0	8044	22

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2020×	`fnmadd-define`
1740×	`fmsub-define`
1730×	`fnmsub-define`
1556×	`fma-lowering-fma.f32`
1556×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	648
1	169	618
2	547	618
3	1569	618
4	5216	618
0	8053	618

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval35.0ms (0.4%)

Compiler: Compiled 6628 to 622 computations (90.6% saved)

prune30.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	316	6	322

Accuracy

100.0%

Counts

322 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 c d)))
✓	99.9%	(+.f64 (.f64 d a) (.f64 a c))
✓	94.5%	(.f64 b (+.f64 a (.f64 a (/.f64 d b))))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	99.9%	(*.f64 a (+.f64 b (+.f64 c d)))
✓	95.0%	(*.f64 a d)

Compiler

Compiled 157 to 80 computations (49% saved)

regimes43.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	(+.f64 b c)
5.0ms	a
4.0ms	(+.f64 (+.f64 b c) d)
4.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
4.0ms	d

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes21.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	a
3.0ms	(+.f64 b c)
3.0ms	(+.f64 (+.f64 b c) d)
3.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
3.0ms	d

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes6.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	d
2.0ms	c
1.0ms	a
1.0ms	b

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)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a d)

Outputs
(*.f64 a d)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.0%	1	`a`
95.0%	1	`b`
95.0%	1	`c`
95.0%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	22	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness774.0ms (9.9%)

Rules

3554×	`-lowering-.f32`
3554×	`-lowering-.f64`
2666×	`/-lowering-/.f32`
2666×	`/-lowering-/.f64`
2422×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	43	13
2	430	13
3	6327	13
0	8785	13
0	7	6
1	19	6
2	46	6
3	96	6
4	118	6
5	119	6
0	119	6
0	84	516
1	294	450
2	890	450
3	2776	450
4	7892	450
0	8406	450

Stop Event

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

Compiler

Compiled 101 to 60 computations (40.6% saved)

preprocess59.0ms (0.8%)

Remove

(sort b c d)

(negabs a)

Compiler

Compiled 312 to 184 computations (41% saved)

analyze319.0ms (4.1%)

sample2.1s (26.9%)

preprocess112.0ms (1.4%)

explain63.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize25.0ms (0.3%)

series7.0ms (0.1%)

rewrite331.0ms (4.3%)

simplify165.0ms (2.1%)

eval41.0ms (0.5%)

prune37.0ms (0.5%)

simplify188.0ms (2.4%)

localize119.0ms (1.5%)

series57.0ms (0.7%)

rewrite378.0ms (4.8%)

simplify327.0ms (4.2%)

eval202.0ms (2.6%)

prune179.0ms (2.3%)

simplify217.0ms (2.8%)

localize67.0ms (0.9%)

series22.0ms (0.3%)

rewrite338.0ms (4.3%)

simplify311.0ms (4%)

eval317.0ms (4.1%)

prune103.0ms (1.3%)

simplify280.0ms (3.6%)

localize30.0ms (0.4%)

series10.0ms (0.1%)

rewrite293.0ms (3.8%)

simplify167.0ms (2.2%)

eval35.0ms (0.4%)

prune30.0ms (0.4%)

regimes43.0ms (0.6%)

regimes21.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify8.0ms (0.1%)

soundness774.0ms (9.9%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling