Metrics for Complex division, real part

analyze39.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

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

ival-mult: 11.0ms (66.7% of total)

ival-add: 4.0ms (24.2% of total)

ival-div: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

sample1.1s (11.9%)

Results

851.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-mult: 282.0ms (63.1% of total)

ival-add: 99.0ms (22.2% of total)

ival-div: 56.0ms (12.5% of total)

const: 7.0ms (1.6% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess71.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

2058×	`fmm-def`
1692×	`fnmadd-define`
1664×	`fmsub-define`
1632×	`fnmsub-define`
1074×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	188
1	158	180
2	271	180
3	544	180
4	1533	180
5	5100	180
6	7935	180
0	11	12
1	19	12
2	23	12
0	23	12

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (fnmsub a c (* b d)) (fnmsub c c (square d)))
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))
(/ (fmsub b d (* a c)) (fma c c (square d)))
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))
(/ (fmsub b d (* a c)) (fnmsub c c (square d)))
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (fmsub b d (* a c)) (fma c c (square d)))
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))
(/ (fmsub b d (* a c)) (fnmsub c c (square d)))
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))))
(/ (fmsub b d (* a c)) (fnmsub c c (square d)))
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))))
(/ (fmsub b d (* a c)) (fma c c (square d)))
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))))
(/ (fmsub b d (* a c)) (fnmsub c c (square d)))
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (fmsub b d (* a c)) (fma c c (square d)))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (fma c b (* a d)) (fma c c (square d)))
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d)))
(/ (fnmsub a c (* b d)) (fnmsub a a (square d)))
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a)))
(/ (fma a b (* c d)) (fma a a (square c)))
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d)))
(/ (fma a b (* c d)) (+ (square d) (square b)))
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b)))
(/ (fnmsub a c (* b d)) (fnmsub c c (square b)))
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c)))
(/ (fma c b (* a d)) (fma c c (square d)))

explain118.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
109	-	1	(-4.5745419009602574e-107 -7.676073631911783e+47 -1.0268912305508966e-181 -1.1244319779511895e-159)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
4	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`
0	-	0	-	`c`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`d`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`

Results

77.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

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

ival-mult: 15.0ms (63.8% of total)

ival-add: 5.0ms (21.3% of total)

ival-div: 3.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 19 to 11 computations (42.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.5%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`fma-lowering-fma.f32`
12×	`fma-define`
12×	`-lowering-.f32`
12×	`-lowering-.f64`
12×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	19	37
2	23	37
0	23	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize92.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	98.6%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	59.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

80.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 7.0ms (59.9% of total)

ival-div: 2.0ms (17.1% of total)

ival-add: 2.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Counts

5 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
16.0ms	d	@	-inf	(+ (* a c) (* b d))
1.0ms	d	@	-inf	(* b d)
1.0ms	b	@	inf	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0ms	a	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0ms	a	@	-inf	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite236.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2340×	`-lowering-.f32`
2340×	`-lowering-.f64`
1638×	`+-lowering-+.f64`
1638×	`+-lowering-+.f32`
1146×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	30	29
2	85	29
3	295	29
4	1207	29
5	5977	29
0	8202	29

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 312

Calls

Call 1

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

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

simplify305.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4240×	`-lowering-.f32`
4240×	`-lowering-.f64`
2416×	`/-lowering-/.f32`
2416×	`/-lowering-/.f64`
2026×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1554
1	649	1322
2	2120	1282
3	7277	1282
0	8761	1282

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval45.0ms (0.5%)

Compiler: Compiled 9900 to 880 computations (91.1% saved)

prune109.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	469	11	480
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	11	481

Accuracy

97.3%

Counts

481 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.9%	(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 c c) (.f64 d d)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 c c)) (.f64 d d))) (+.f64 (.f64 c c) (.f64 d d)))
	34.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
	46.5%	(/.f64 (+.f64 b (/.f64 (-.f64 (.f64 c a) (/.f64 (.f64 b (*.f64 c c)) d)) d)) d)
	53.6%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
▶	51.3%	(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
▶	37.9%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	41.6%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	45.5%	(/.f64 b d)
▶	40.7%	(/.f64 a c)
▶	52.5%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
▶	55.8%	(.f64 b (+.f64 (/.f64 d (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 c c) (.f64 d d)))))

Compiler

Compiled 378 to 210 computations (44.4% saved)

simplify309.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
3148×	`/-lowering-/.f32`
3148×	`/-lowering-/.f64`
1684×	`associate-/r/`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	166
1	52	163
2	95	161
3	180	156
4	344	155
5	412	154
6	1000	153
7	3204	153
8	3840	153
9	4448	153
10	5156	153
11	5732	153
12	7225	153
0	8246	153

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize130.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	72.9%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	99.8%	(/.f64 (/.f64 c d) d)
✓	accuracy	97.7%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
✓	accuracy	90.5%	(*.f64 a (/.f64 (/.f64 c d) d))
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(+.f64 a (/.f64 (*.f64 b d) c))
✓	accuracy	97.7%	(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
✓	accuracy	91.7%	(/.f64 (*.f64 b d) c)
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	93.0%	(.f64 b (+.f64 (/.f64 d (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 c c) (.f64 d d)))))
✓	accuracy	92.5%	(/.f64 (*.f64 c a) b)
✓	accuracy	74.2%	(/.f64 (/.f64 (.f64 c a) b) (+.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	66.3%	(/.f64 d (+.f64 (.f64 c c) (.f64 d d)))

Results

99.0ms

256×

valid

Compiler

Compiled 196 to 25 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 18.0ms (53.4% of total)

ival-mult: 11.0ms (32.6% of total)

ival-add: 5.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

series55.0ms (0.6%)

Counts

18 → 612

Calls

Call 1

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

Outputs
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (+ (* -1 (/ a (pow c 3))) (* -1 (/ (* b d) (pow c 4))))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
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#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<alt (/ a c)>
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ a c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))>
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))>
#<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 (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (/ (* a c) (* b (pow d 2)))>
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (* b (pow d 4)))) (/ a (* b (pow d 2)))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (* b (pow d 6))) (/ a (* b (pow d 4))))) (/ a (* b (pow d 2)))))>
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (* b (pow d 8)))) (* -1 (/ a (* b (pow d 6)))))) (/ a (* b (pow d 4))))) (/ a (* b (pow d 2)))))>
#<alt (/ a (* b c))>
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ a b)) c)>
#<alt (/ (- (+ (/ a b) (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (* a (pow d 6)) (* b (pow c 6)))) (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2))))) c)>
#<alt (/ a (* b c))>
#<alt (* -1 (/ (+ (* -1 (/ a b)) (/ (* a (pow d 2)) (* b (pow c 2)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2))))) c))>
#<alt (* -1 (/ (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (+ (/ (* a (pow d 2)) (* b (pow c 2))) (/ (* a (pow d 6)) (* b (pow c 6)))))) c))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (* b (+ (pow c 2) (pow d 2))))>
#<alt (/ a (* b c))>
#<alt (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (/ a (* b c)))>
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (* b (pow c 5))) (/ a (* b (pow c 3))))) (/ a (* b c)))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (* b (pow c 7)))) (* -1 (/ a (* b (pow c 5)))))) (/ a (* b (pow c 3))))) (/ a (* b c)))>
#<alt (/ (* a c) (* b (pow d 2)))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (* a c) b)) (pow d 2))>
#<alt (/ (- (+ (/ (* a c) b) (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (* b (pow d 6)))) (/ (* a c) b)) (+ (* -1 (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2))))) (pow d 2))>
#<alt (/ (* a c) (* b (pow d 2)))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (* a c) b)) (pow d 2))>
#<alt (/ (- (+ (/ (* a c) b) (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (* b (pow d 6)))) (/ (* a c) b)) (+ (* -1 (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2))))) (pow d 2))>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>

Calls

153 calls:

Time	Variable		Point	Expression
6.0ms	c	@	0	(/ (/ (* c a) b) (+ (* c c) (* d d)))
5.0ms	d	@	0	(/ d (+ (* c c) (* d d)))
2.0ms	c	@	inf	(* a (/ (/ c d) d))
1.0ms	b	@	0	(* b (+ (/ d (+ (* c c) (* d d))) (/ (/ (* c a) b) (+ (* c c) (* d d)))))
1.0ms	a	@	0	(* b (+ (/ d (+ (* c c) (* d d))) (/ (/ (* c a) b) (+ (* c c) (* d d)))))

rewrite385.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3370×	`-lowering-.f32`
3370×	`-lowering-.f64`
2460×	`/-lowering-/.f32`
2460×	`/-lowering-/.f64`
2014×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	132
1	114	119
2	741	116
3	6735	116
0	8830	116

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1113

Calls

Call 1

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

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

simplify420.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4708×	`-lowering-.f32`
4708×	`-lowering-.f64`
2290×	`/-lowering-/.f32`
2290×	`/-lowering-/.f64`
2070×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	596	6416
1	2034	5496
2	7014	5440
0	8004	5440

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (+ (* -1 (/ a (pow c 3))) (* -1 (/ (* b d) (pow c 4))))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (+ (* -1 (/ b (pow d 3))) (* -1 (/ (* a c) (pow d 4))))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ a (* b c))
(+ (/ a (* b c)) (/ d (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) (/ a (* b c)))
(+ (* d (+ (* d (- (* -1 (/ d (pow c 4))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2)))) (/ a (* b c)))
(/ 1 d)
(/ (+ 1 (/ (* a c) (* b d))) d)
(/ (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) d)
(/ (- (+ 1 (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 3)))) (/ (* a c) (* b d)))) (/ (pow c 2) (pow d 2))) d)
(/ 1 d)
(* -1 (/ (- (* -1 (/ (* a c) (* b d))) 1) d))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)) d)) 1) d))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (* a (pow c 3)) (* b d)) (pow c 2)) d)) (/ (* a c) b)) d)) 1) d))
(/ 1 d)
(+ (/ 1 d) (/ (* a c) (* b (pow d 2))))
(+ (* c (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) (/ 1 d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (* b (pow d 4)))) (/ 1 (pow d 3)))) (/ a (* b (pow d 2))))) (/ 1 d))
(/ a (* b c))
(/ (+ (/ a b) (/ d c)) c)
(/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))) c)
(/ (- (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)
(/ a (* b c))
(* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ d c))) c))
(* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (* a (pow d 2)) (* b c)))) c))) c))
(* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (+ (/ (* a (pow d 2)) b) (/ (pow d 3) c)) c))) c))) c))
(/ d (+ (pow c 2) (pow d 2)))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)
(/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)
(/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)
(/ d (+ (pow c 2) (pow d 2)))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(/ d (+ (pow c 2) (pow d 2)))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))
(/ d (pow c 2))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ 1 d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ 1 d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(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 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ 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)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(* 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)
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c 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)
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ c (pow d 2))
(/ (* a c) (pow d 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ a c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(* 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)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ (* a c) (* b (pow d 2)))
(* c (+ (* -1 (/ (* a (pow c 2)) (* b (pow d 4)))) (/ a (* b (pow d 2)))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (* b (pow d 6))) (/ a (* b (pow d 4))))) (/ a (* b (pow d 2)))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (* b (pow d 8)))) (* -1 (/ a (* b (pow d 6)))))) (/ a (* b (pow d 4))))) (/ a (* b (pow d 2)))))
(/ a (* b c))
(/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ a b)) c)
(/ (- (+ (/ a b) (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)
(/ (- (+ (* -1 (/ (* a (pow d 6)) (* b (pow c 6)))) (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2))))) c)
(/ a (* b c))
(* -1 (/ (+ (* -1 (/ a b)) (/ (* a (pow d 2)) (* b (pow c 2)))) c))
(* -1 (/ (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2))))) c))
(* -1 (/ (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (+ (/ (* a (pow d 2)) (* b (pow c 2))) (/ (* a (pow d 6)) (* b (pow c 6)))))) c))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/ a (* b c))
(+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (/ a (* b c)))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (* b (pow c 5))) (/ a (* b (pow c 3))))) (/ a (* b c)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (* b (pow c 7)))) (* -1 (/ a (* b (pow c 5)))))) (/ a (* b (pow c 3))))) (/ a (* b c)))
(/ (* a c) (* b (pow d 2)))
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (* a c) b)) (pow d 2))
(/ (- (+ (/ (* a c) b) (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2)))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (* b (pow d 6)))) (/ (* a c) b)) (+ (* -1 (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2))))) (pow d 2))
(/ (* a c) (* b (pow d 2)))
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (* a c) b)) (pow d 2))
(/ (- (+ (/ (* a c) b) (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2)))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (* b (pow d 6)))) (/ (* a c) b)) (+ (* -1 (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2))))) (pow d 2))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)

Outputs
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (.f64 a c) (+.f64 (.f64 c c) (*.f64 d d)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
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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)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(/ (* a c) (* b (pow d 2)))
(/.f64 (.f64 a c) (.f64 d (*.f64 d b)))
(* c (+ (* -1 (/ (* a (pow c 2)) (* b (pow d 4)))) (/ a (* b (pow d 2)))))
(.f64 c (-.f64 (/.f64 a (.f64 d (.f64 d b))) (/.f64 (.f64 a (.f64 c c)) (.f64 b (pow.f64 d #s(literal 4 binary64))))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (* b (pow d 6))) (/ a (* b (pow d 4))))) (/ a (* b (pow d 2)))))
(.f64 c (+.f64 (/.f64 a (.f64 d (.f64 d b))) (.f64 (.f64 c c) (-.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 (/.f64 a (pow.f64 d #s(literal 4 binary64))) b)))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (* b (pow d 8)))) (* -1 (/ a (* b (pow d 6)))))) (/ a (* b (pow d 4))))) (/ a (* b (pow d 2)))))
(.f64 c (+.f64 (/.f64 a (.f64 d (.f64 d b))) (.f64 (.f64 c c) (-.f64 (.f64 (.f64 c c) (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 a (.f64 c c))) (.f64 b (pow.f64 d #s(literal 8 binary64)))) (/.f64 a (.f64 b (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (/.f64 a (pow.f64 d #s(literal 4 binary64))) b)))))
(/ a (* b c))
(/.f64 (/.f64 a b) c)
(/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ a b)) c)
(/.f64 (-.f64 (/.f64 a b) (/.f64 (/.f64 (/.f64 (.f64 a (.f64 d d)) b) c) c)) c)
(/ (- (+ (/ a b) (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)
(/.f64 (+.f64 (/.f64 a b) (.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 d d) c) c)))) c)
(/ (- (+ (* -1 (/ (* a (pow d 6)) (* b (pow c 6)))) (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2))))) c)
(/.f64 (-.f64 (-.f64 (/.f64 a b) (/.f64 (.f64 a (pow.f64 d #s(literal 6 binary64))) (.f64 b (pow.f64 c #s(literal 6 binary64))))) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 a (.f64 d d)) b) c) c) (/.f64 (.f64 a (pow.f64 d #s(literal 4 binary64))) (.f64 b (pow.f64 c #s(literal 4 binary64)))))) c)
(/ a (* b c))
(/.f64 (/.f64 a b) c)
(* -1 (/ (+ (* -1 (/ a b)) (/ (* a (pow d 2)) (* b (pow c 2)))) c))
(/.f64 (.f64 (/.f64 a b) (+.f64 (/.f64 (/.f64 (.f64 d d) c) c) #s(literal -1 binary64))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (/ (* a (pow d 2)) (* b (pow c 2))))) c))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 a (pow.f64 d #s(literal 4 binary64)))) (.f64 b (pow.f64 c #s(literal 4 binary64)))) (.f64 (/.f64 a b) (+.f64 (/.f64 (/.f64 (*.f64 d d) c) c) #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (pow d 4)) (* b (pow c 4)))) (+ (/ (* a (pow d 2)) (* b (pow c 2))) (/ (* a (pow d 6)) (* b (pow c 6)))))) c))
(/.f64 (-.f64 (-.f64 (.f64 (/.f64 a b) (+.f64 (/.f64 (/.f64 (.f64 d d) c) c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (/.f64 (.f64 a (pow.f64 d #s(literal 4 binary64))) (.f64 b (pow.f64 c #s(literal 4 binary64))))) (/.f64 a b)) (neg.f64 c))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ (* a c) (* b (+ (pow c 2) (pow d 2))))
(/.f64 (.f64 c (/.f64 a b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/ a (* b c))
(/.f64 (/.f64 a b) c)
(+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (/ a (* b c)))
(-.f64 (/.f64 (/.f64 a b) c) (/.f64 (.f64 a (.f64 d d)) (.f64 c (.f64 (*.f64 c c) b))))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (* b (pow c 5))) (/ a (* b (pow c 3))))) (/ a (* b c)))
(+.f64 (/.f64 (/.f64 a b) c) (.f64 (.f64 d d) (-.f64 (/.f64 (/.f64 (.f64 a (.f64 d d)) b) (pow.f64 c #s(literal 5 binary64))) (/.f64 a (.f64 c (.f64 (*.f64 c c) b))))))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (* b (pow c 7)))) (* -1 (/ a (* b (pow c 5)))))) (/ a (* b (pow c 3))))) (/ a (* b c)))
(+.f64 (/.f64 (/.f64 a b) c) (.f64 (.f64 d d) (-.f64 (.f64 (.f64 d d) (+.f64 (/.f64 (/.f64 (.f64 a (.f64 d d)) b) (neg.f64 (pow.f64 c #s(literal 7 binary64)))) (/.f64 (/.f64 a b) (pow.f64 c #s(literal 5 binary64))))) (/.f64 a (.f64 c (.f64 (*.f64 c c) b))))))
(/ (* a c) (* b (pow d 2)))
(/.f64 (.f64 a c) (.f64 d (*.f64 d b)))
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (* a c) b)) (pow d 2))
(/.f64 (-.f64 (.f64 c (/.f64 a b)) (/.f64 (/.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) d) b) d)) (*.f64 d d))
(/ (- (+ (/ (* a c) b) (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2)))) (pow d 2))
(/.f64 (+.f64 (.f64 c (/.f64 a b)) (.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 c (.f64 c c)) d) d)))) (*.f64 d d))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (* b (pow d 6)))) (/ (* a c) b)) (+ (* -1 (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2))))) (pow d 2))
(/.f64 (-.f64 (-.f64 (.f64 c (/.f64 a b)) (/.f64 (.f64 a (pow.f64 c #s(literal 7 binary64))) (.f64 b (pow.f64 d #s(literal 6 binary64))))) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) d) b) d) (/.f64 (.f64 a (pow.f64 c #s(literal 5 binary64))) (.f64 b (pow.f64 d #s(literal 4 binary64)))))) (*.f64 d d))
(/ (* a c) (* b (pow d 2)))
(/.f64 (.f64 a c) (.f64 d (*.f64 d b)))
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (* a c) b)) (pow d 2))
(/.f64 (-.f64 (.f64 c (/.f64 a b)) (/.f64 (/.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) d) b) d)) (*.f64 d d))
(/ (- (+ (/ (* a c) b) (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2)))) (pow d 2))
(/.f64 (+.f64 (.f64 c (/.f64 a b)) (.f64 (/.f64 a b) (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 c (.f64 c c)) d) d)))) (*.f64 d d))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (* b (pow d 6)))) (/ (* a c) b)) (+ (* -1 (/ (* a (pow c 5)) (* b (pow d 4)))) (/ (* a (pow c 3)) (* b (pow d 2))))) (pow d 2))
(/.f64 (-.f64 (-.f64 (.f64 c (/.f64 a b)) (/.f64 (.f64 a (pow.f64 c #s(literal 7 binary64))) (.f64 b (pow.f64 d #s(literal 6 binary64))))) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) d) b) d) (/.f64 (.f64 a (pow.f64 c #s(literal 5 binary64))) (.f64 b (pow.f64 d #s(literal 4 binary64)))))) (*.f64 d d))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))
(/ (* a c) b)
(*.f64 c (/.f64 a b))

eval361.0ms (3.9%)

Compiler: Compiled 52904 to 4168 computations (92.1% saved)

prune366.0ms (3.9%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1861	15	1876
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	1866	21	1887

Accuracy

99.3%

Counts

1887 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.5%	(/.f64 (/.f64 (*.f64 d b) c) c)
	17.0%	(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (/.f64 a (/.f64 d c))) #s(literal 1 binary64))) (.f64 (/.f64 d (/.f64 a (/.f64 d c))) (/.f64 d b)))
	53.7%	(/.f64 (+.f64 (/.f64 b (/.f64 c d)) a) c)
▶	34.4%	(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (*.f64 c c))
	46.5%	(/.f64 (+.f64 b (/.f64 (-.f64 (.f64 c a) (/.f64 (.f64 b (*.f64 c c)) d)) d)) d)
	53.6%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
	51.2%	(/.f64 (+.f64 a (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) c)
▶	53.7%	(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c)
	41.6%	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
✓	37.9%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	19.5%	(/.f64 (.f64 c a) (.f64 d d))
	22.0%	(/.f64 (*.f64 a (/.f64 c d)) d)
▶	45.5%	(/.f64 b d)
✓	40.7%	(/.f64 a c)
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 c (+.f64 a (/.f64 b (/.f64 c d)))))
	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	52.5%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
	24.6%	(+.f64 (/.f64 b d) (.f64 a (exp.f64 (.f64 (log.f64 (/.f64 d (/.f64 c d))) #s(literal -1 binary64)))))
	53.6%	(*.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 a (/.f64 b (/.f64 c d))))
▶	43.7%	(.f64 b (/.f64 d (+.f64 (.f64 c c) (*.f64 d d))))
	45.4%	(*.f64 b (/.f64 #s(literal 1 binary64) d))

Compiler

Compiled 553 to 343 computations (38% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

48×	`-lowering-.f32`
48×	`-lowering-.f64`
40×	`/-lowering-/.f32`
40×	`/-lowering-/.f64`
20×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	102
1	44	100
2	64	100
3	71	100
4	72	100
0	72	100

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize234.0ms (2.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	98.6%	(+.f64 (.f64 a c) (.f64 d b))
✓	accuracy	71.8%	(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (*.f64 c c))
✓	accuracy	100.0%	(*.f64 c c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	94.0%	(.f64 b (/.f64 d (+.f64 (.f64 c c) (*.f64 d d))))
✓	accuracy	66.3%	(/.f64 d (+.f64 (.f64 c c) (.f64 d d)))
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	83.7%	(/.f64 (.f64 c a) (.f64 d d))
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	100.0%	(/.f64 d c)
✓	accuracy	100.0%	(+.f64 a (*.f64 (/.f64 d c) b))
✓	accuracy	97.7%	(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c)
✓	accuracy	91.9%	(*.f64 (/.f64 d c) b)

Results

209.0ms

256×

valid

Compiler

Compiled 121 to 21 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 59.0ms (55.1% of total)

ival-div: 44.0ms (41.1% of total)

ival-add: 4.0ms (3.7% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Counts

16 → 492

Calls

Call 1

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

Outputs
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ (* b d) c)>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* b d) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<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 (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (/ b d)>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))>
#<alt (/ b d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))>
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))>
#<alt (/ 1 d)>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)>
#<alt (/ 1 d)>
#<alt (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))>
#<alt (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))>
#<alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))>
#<alt (/ 1 d)>
#<alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))>
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))>
#<alt (/ d (pow c 2))>
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (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 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<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 (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>

Calls

123 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	(/ (+ (* a c) (* d b)) (* c c))
0.0ms	c	@	inf	(* b (/ d (+ (* c c) (* d d))))
0.0ms	d	@	inf	(* b (/ d (+ (* c c) (* d d))))
0.0ms	c	@	0	(* b (/ d (+ (* c c) (* d d))))
0.0ms	d	@	0	(* b (/ d (+ (* c c) (* d d))))

rewrite204.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2584×	`-lowering-.f32`
2584×	`-lowering-.f64`
1924×	`/-lowering-/.f32`
1924×	`/-lowering-/.f64`
1818×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	82
1	85	80
2	377	80
3	1889	80
4	7163	80
0	8204	80

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 605

Calls

Call 1

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

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

simplify385.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4226×	`-lowering-.f32`
4226×	`-lowering-.f64`
1950×	`+-lowering-+.f64`
1950×	`+-lowering-+.f32`
1850×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3735
1	970	3287
2	3086	3235
0	8374	3235

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ 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)
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(* 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)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ 1 d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ 1 d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(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 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* 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)
(* 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)

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

eval417.0ms (4.5%)

Compiler: Compiled 14434 to 1772 computations (87.7% saved)

prune222.0ms (2.4%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	1163	12	1175
Fresh	6	7	13
Picked	2	3	5
Done	0	3	3
Total	1171	25	1196

Accuracy

99.3%

Counts

1196 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(/.f64 (/.f64 (*.f64 d b) c) c)
	22.0%	(/.f64 (/.f64 (*.f64 c a) d) d)
	40.5%	(/.f64 (/.f64 b (+.f64 (.f64 d d) (.f64 c c))) (/.f64 #s(literal 1 binary64) d))
	17.0%	(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (/.f64 a (/.f64 d c))) #s(literal 1 binary64))) (.f64 (/.f64 d (/.f64 a (/.f64 d c))) (/.f64 d b)))
	53.7%	(/.f64 (+.f64 (/.f64 b (/.f64 c d)) a) c)
✓	34.4%	(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (*.f64 c c))
	53.6%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
	53.3%	(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) c)
✓	53.7%	(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c)
▶	53.7%	(/.f64 (+.f64 a (.f64 (.f64 (/.f64 #s(literal 1 binary64) c) d) b)) c)
	41.6%	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
✓	37.9%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	39.8%	(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (*.f64 d d)))) d)
	22.0%	(/.f64 (*.f64 a (/.f64 c d)) d)
	21.3%	(/.f64 c (/.f64 d (/.f64 a d)))
✓	45.5%	(/.f64 b d)
✓	40.7%	(/.f64 a c)
	45.0%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
▶	50.7%	(/.f64 #s(literal 1 binary64) (/.f64 c (+.f64 a (/.f64 (*.f64 d b) c))))
	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	52.5%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
	24.6%	(+.f64 (/.f64 b d) (.f64 a (exp.f64 (.f64 (log.f64 (/.f64 d (/.f64 c d))) #s(literal -1 binary64)))))
▶	45.4%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
▶	29.9%	(.f64 b (/.f64 d (.f64 d d)))
	21.2%	(.f64 b (/.f64 d (.f64 c c)))

Compiler

Compiled 590 to 373 computations (36.8% saved)

simplify384.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

5950×	`-lowering-.f32`
5950×	`-lowering-.f64`
3022×	`cube-prod`
2910×	`/-lowering-/.f32`
2910×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	114
1	48	98
2	101	98
3	221	98
4	443	98
5	1121	98
6	1606	98
7	1714	98
8	1803	98
9	1887	98
10	2016	98
11	2151	98
12	2335	98
13	2507	98
14	2722	98
15	3435	98
16	4163	98
17	5240	98
18	5756	98
19	6024	98
20	6134	98
21	6154	98
22	6154	98
23	6838	98
24	7811	98
0	8019	98

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize161.0ms (1.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a (/.f64 (*.f64 d b) c))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 c (+.f64 a (/.f64 (*.f64 d b) c))))
✓	accuracy	97.6%	(/.f64 c (+.f64 a (/.f64 (*.f64 d b) c)))
✓	accuracy	91.7%	(/.f64 (*.f64 d b) c)
✓	accuracy	100.0%	(*.f64 d b)
✓	accuracy	97.1%	(/.f64 (/.f64 (*.f64 d b) c) c)
✓	accuracy	91.7%	(/.f64 (*.f64 d b) c)
✓	accuracy	100.0%	(*.f64 d d)
✓	accuracy	99.7%	(.f64 b (/.f64 d (.f64 d d)))
✓	accuracy	53.1%	(/.f64 d (*.f64 d d))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) d)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓	accuracy	100.0%	(+.f64 a (.f64 (.f64 (/.f64 #s(literal 1 binary64) c) d) b))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) c) d)
✓	accuracy	97.7%	(/.f64 (+.f64 a (.f64 (.f64 (/.f64 #s(literal 1 binary64) c) d) b)) c)
✓	accuracy	91.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) c) d) b)

Results

134.0ms

256×

valid

Compiler

Compiled 131 to 22 computations (83.2% saved)

Precisions

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

ival-div: 15.0ms (50.3% of total)

ival-mult: 12.0ms (40.2% of total)

ival-add: 3.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Counts

15 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(/ (/ (* d b) c) c)
1.0ms	b	@	0	(/ c (+ a (/ (* d b) c)))
1.0ms	d	@	inf	(/ c (+ a (/ (* d b) c)))
0.0ms	d	@	inf	(/ (/ (* d b) c) c)
0.0ms	b	@	inf	(/ c (+ a (/ (* d b) c)))

rewrite445.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3588×	`/-lowering-/.f32`
3588×	`/-lowering-/.f64`
2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
1304×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	85
1	97	70
2	477	70
3	2530	70
0	8219	70

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 2262

Calls

Call 1

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

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

simplify332.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4328×	`-lowering-.f32`
4328×	`-lowering-.f64`
2526×	`+-lowering-+.f64`
2526×	`+-lowering-+.f32`
2160×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	3809
1	1241	3416
2	4752	3381
0	8501	3381

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

eval642.0ms (6.9%)

Compiler: Compiled 50629 to 4914 computations (90.3% saved)

prune326.0ms (3.5%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	2966	5	2971
Fresh	4	10	14
Picked	2	3	5
Done	0	6	6
Total	2972	24	2996

Accuracy

99.3%

Counts

2996 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.5%	(/.f64 (/.f64 (*.f64 d b) c) c)
	22.0%	(/.f64 (/.f64 (*.f64 c a) d) d)
	24.9%	(/.f64 (/.f64 d (/.f64 c b)) c)
	25.0%	(/.f64 (/.f64 d c) (/.f64 c b))
	17.0%	(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (/.f64 a (/.f64 d c))) #s(literal 1 binary64))) (.f64 (/.f64 d (/.f64 a (/.f64 d c))) (/.f64 d b)))
✓	34.4%	(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (*.f64 c c))
	53.6%	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
✓	53.7%	(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c)
	41.6%	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
✓	37.9%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	39.8%	(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (*.f64 d d)))) d)
	22.0%	(/.f64 (*.f64 a (/.f64 c d)) d)
	20.3%	(/.f64 (exp.f64 (log.f64 (+.f64 a (*.f64 (/.f64 d c) b)))) c)
	24.8%	(/.f64 d (*.f64 (/.f64 c b) c))
	21.3%	(/.f64 c (/.f64 d (/.f64 a d)))
	23.3%	(/.f64 b (*.f64 (/.f64 c d) c))
✓	45.5%	(/.f64 b d)
✓	40.7%	(/.f64 a c)
	45.0%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	52.5%	(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
	24.6%	(+.f64 (/.f64 b d) (.f64 a (exp.f64 (.f64 (log.f64 (/.f64 d (/.f64 c d))) #s(literal -1 binary64)))))
✓	45.4%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓	29.9%	(.f64 b (/.f64 d (.f64 d d)))

Compiler

Compiled 772 to 321 computations (58.4% saved)

regimes76.0ms (0.8%)

Counts

44 → 4

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	b
15.0ms	c
14.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
12.0ms	a
12.0ms	d

Results

Accuracy	Segments	Branch
70.5%	5	`a`
66.0%	3	`b`
83.1%	4	`c`
84.6%	4	`d`
73.1%	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes39.0ms (0.4%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
82.2%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
81.8%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
81.8%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	d
6.0ms	c

Results

Accuracy	Segments	Branch
74.3%	3	`c`
78.3%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	c
5.0ms	a
5.0ms	d

Results

Accuracy	Segments	Branch
60.0%	7	`a`
66.5%	3	`c`
67.2%	3	`d`

Compiler

Compiled 15 to 12 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 c)

Outputs
(/.f64 a c)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.7%	1	`a`
40.7%	1	`b`
40.7%	1	`c`
40.7%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch52.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.137431457354548e+61	3.0417334402539574e+63
15.0ms	2.451217204660819e-68	1.1582189631497185e-66
20.0ms	-1.7589075083702836e-23	-2.40206646947019e-34

Results

35.0ms

384×

valid

Compiler

Compiled 796 to 498 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (65.2% of total)

ival-add: 3.0ms (17.8% of total)

ival-div: 2.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.6326169842762646e+41	2.0458440668862914e+42
18.0ms	-1.7589075083702836e-23	-2.40206646947019e-34

Results

23.0ms

256×

valid

Compiler

Compiled 486 to 311 computations (36% saved)

Precisions

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

ival-mult: 8.0ms (64.1% of total)

ival-div: 2.0ms (16% of total)

ival-add: 2.0ms (16% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6326169842762646e+41	2.0458440668862914e+42
20.0ms	-1.7589075083702836e-23	-2.40206646947019e-34

Results

23.0ms

256×

valid

Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions

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

ival-mult: 7.0ms (61.9% of total)

ival-div: 2.0ms (17.7% of total)

ival-add: 2.0ms (17.7% of total)

const: 0.0ms (0% of total)

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

bsearch70.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	1.6326169842762646e+41	2.0458440668862914e+42
20.0ms	-1.7589075083702836e-23	-2.40206646947019e-34

Results

23.0ms

256×

valid

Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions

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

ival-mult: 7.0ms (62.1% of total)

ival-div: 2.0ms (17.8% of total)

ival-add: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.6326169842762646e+41	2.0458440668862914e+42
19.0ms	-1.2880788434365166e-12	-1.7589075083702836e-23

Results

22.0ms

256×

valid

Compiler

Compiled 378 to 257 computations (32% saved)

Precisions

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

ival-mult: 7.0ms (61.3% of total)

ival-div: 2.0ms (17.5% of total)

ival-add: 2.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.6326169842762646e+41	2.0458440668862914e+42
18.0ms	-1.2880788434365166e-12	-1.7589075083702836e-23

Results

21.0ms

256×

valid

Compiler

Compiled 282 to 209 computations (25.9% saved)

Precisions

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

ival-mult: 7.0ms (62.3% of total)

ival-div: 2.0ms (17.8% of total)

ival-add: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	186
1	89	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -2381976568446569/680564733841876926926749214863536422912 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 956157345392351/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (/.f64 (+.f64 a (.f64 (/.f64 d c) b)) c) (if (<=.f64 d #s(literal 1149999999999999966058416367636439674999053243306838902553182208 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 180000000000000012721703429373841052270592 binary64)) (/.f64 (+.f64 (/.f64 b (/.f64 c d)) a) c) (+.f64 (/.f64 b d) (.f64 a (/.f64 (/.f64 c d) d)))))
(if (<=.f64 d #s(literal -5937350401656793/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 190000000000000006980860359727698845630464 binary64)) (/.f64 (+.f64 (/.f64 b (/.f64 c d)) a) c) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d)))
(if (<=.f64 d #s(literal -6065802694000329/178405961588244985132285746181186892047843328 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 240000000000000016962271239165121403027456 binary64)) (/.f64 (+.f64 a (.f64 (/.f64 d c) b)) c) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)))
(if (<=.f64 d #s(literal -6189700196426901/4951760157141521099596496896 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 339999999999999998239466770371832927223808 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -4776913109852041/5192296858534827628530496329220096 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 380000000000000013961720719455397691260928 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

Outputs
(if (<=.f64 d #s(literal -2381976568446569/680564733841876926926749214863536422912 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 956157345392351/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (/.f64 (+.f64 a (.f64 (/.f64 d c) b)) c) (if (<=.f64 d #s(literal 1149999999999999966058416367636439674999053243306838902553182208 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -2381976568446569/680564733841876926926749214863536422912 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 956157345392351/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 d #s(literal 1149999999999999966058416367636439674999053243306838902553182208 binary64)) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d))))))
(if (<=.f64 d #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 180000000000000012721703429373841052270592 binary64)) (/.f64 (+.f64 (/.f64 b (/.f64 c d)) a) c) (+.f64 (/.f64 b d) (.f64 a (/.f64 (/.f64 c d) d)))))
(if (<=.f64 d #s(literal -8166776806102523/10889035741470030830827987437816582766592 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 180000000000000012721703429373841052270592 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (+.f64 (/.f64 b d) (.f64 a (/.f64 (/.f64 c d) d)))))
(if (<=.f64 d #s(literal -5937350401656793/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 190000000000000006980860359727698845630464 binary64)) (/.f64 (+.f64 (/.f64 b (/.f64 c d)) a) c) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d)))
(if (<=.f64 d #s(literal -5937350401656793/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 190000000000000006980860359727698845630464 binary64)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d)))
(if (<=.f64 d #s(literal -6065802694000329/178405961588244985132285746181186892047843328 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 240000000000000016962271239165121403027456 binary64)) (/.f64 (+.f64 a (.f64 (/.f64 d c) b)) c) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)))
(if (<=.f64 d #s(literal -6065802694000329/178405961588244985132285746181186892047843328 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 c a) d)) d) (if (<=.f64 d #s(literal 240000000000000016962271239165121403027456 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)))
(if (<=.f64 d #s(literal -6189700196426901/4951760157141521099596496896 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 339999999999999998239466770371832927223808 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -6189700196426901/4951760157141521099596496896 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 339999999999999998239466770371832927223808 binary64)) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -4776913109852041/5192296858534827628530496329220096 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 380000000000000013961720719455397691260928 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

soundness838.0ms (9%)

Rules

4240×	`-lowering-.f32`
4240×	`-lowering-.f64`
3370×	`-lowering-.f32`
3370×	`-lowering-.f64`
2460×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	132
1	114	119
2	741	116
3	6735	116
0	8830	116
0	186	1554
1	649	1322
2	2120	1282
3	7277	1282
0	8761	1282

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 450 to 216 computations (52% saved)

preprocess53.0ms (0.6%)

Compiler: Compiled 538 to 194 computations (63.9% saved)

analyze39.0ms (0.4%)

sample1.1s (11.9%)

preprocess71.0ms (0.8%)

explain118.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize92.0ms (1%)

series30.0ms (0.3%)

rewrite236.0ms (2.5%)

simplify305.0ms (3.3%)

eval45.0ms (0.5%)

prune109.0ms (1.2%)

simplify309.0ms (3.3%)

localize130.0ms (1.4%)

series55.0ms (0.6%)

rewrite385.0ms (4.1%)

simplify420.0ms (4.5%)

eval361.0ms (3.9%)

prune366.0ms (3.9%)

simplify8.0ms (0.1%)

localize234.0ms (2.5%)

series22.0ms (0.2%)

rewrite204.0ms (2.2%)

simplify385.0ms (4.1%)

eval417.0ms (4.5%)

prune222.0ms (2.4%)

simplify384.0ms (4.1%)

localize161.0ms (1.7%)

series21.0ms (0.2%)

rewrite445.0ms (4.8%)

simplify332.0ms (3.6%)

eval642.0ms (6.9%)

prune326.0ms (3.5%)

regimes76.0ms (0.8%)

regimes39.0ms (0.4%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch52.0ms (0.6%)

bsearch33.0ms (0.4%)

bsearch35.0ms (0.4%)

bsearch70.0ms (0.8%)

bsearch48.0ms (0.5%)

bsearch34.0ms (0.4%)

simplify10.0ms (0.1%)

soundness838.0ms (9%)

preprocess53.0ms (0.6%)

end0.0ms (0%)

Profiling