Metrics for Expression 4, p15

analyze27.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 24 to 15 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-<=: 5.0ms (36.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (29% of total)

ival-add: 2.0ms (14.5% of total)

ival-mult: 2.0ms (14.5% of total)

ival-and: 1.0ms (7.2% of total)

const: 0.0ms (0% of total)

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

sample1.1s (19.4%)

Results

807.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 570.0ms

ival-<=: 198.0ms (34.8% of total)

...c/correct-round.rkt:119:19: 175.0ms (30.7% of total)

ival-add: 86.0ms (15.1% of total)

ival-mult: 61.0ms (10.7% of total)

ival-and: 30.0ms (5.3% of total)

const: 15.0ms (2.6% of total)

backward-pass: 4.0ms (0.7% of total)

Bogosity

preprocess58.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (+ a b) (+ a b))

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

Call 2

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

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

Symmetry

(sort a b)

explain158.0ms (2.7%)

FPErrors

Click to see full error table

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

Results

24.0ms

512×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

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

ival-mult: 4.0ms (49.8% of total)

ival-add: 3.0ms (37.3% of total)

backward-pass: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)
a
b

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

localize17.0ms (0.3%)

Localize:

Found 2 expressions of interest:

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

Results

12.0ms

256×

valid

Compiler

Compiled 15 to 5 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (52.1% of total)

ival-mult: 2.0ms (52.1% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite398.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 271

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)

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

simplify175.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval97.0ms (1.7%)

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

prune54.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accuracy

100.0%

Counts

430 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.4%	(*.f64 (+.f64 a b) b)
▶	99.8%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
▶	99.4%	(*.f64 b b)
▶	99.4%	(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))

Compiler

Compiled 131 to 72 computations (45% saved)

simplify227.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))
✓	cost-diff	(+.f64 a b)
✓	cost-diff	(.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))
✓	cost-diff	(/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (/.f64 b a))
✓	cost-diff	(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))
✓	cost-diff	(+.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a))))
✓	cost-diff	(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
✓	cost-diff	(+.f64 a b)
✓	cost-diff	(*.f64 (+.f64 a b) b)
✓	cost-diff	(*.f64 b b)
✓	cost-diff	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	(+.f64 b (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Rules

2800×	`sum4-define`
2196×	`sum3-define`
1944×	`fma-lowering-fma.f32`
1944×	`fma-lowering-fma.f64`
1790×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	69	132
2	193	132
3	509	132
4	840	132
5	1317	130
6	4060	130
7	6663	130
0	8266	130

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize127.0ms (2.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.6%	(.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))
✓	accuracy	99.6%	(.f64 b (.f64 b b))
✓	accuracy	99.3%	(/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	accuracy	100.0%	(+.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 b a))
✓	accuracy	99.6%	(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))
✓	accuracy	99.5%	(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (+.f64 a b) b)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(+.f64 b (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	100.0%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Results

98.0ms

256×

valid

Compiler

Compiled 162 to 24 computations (85.2% saved)

Precisions

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

ival-mult: 21.0ms (61.1% of total)

ival-add: 8.0ms (23.3% of total)

ival-div: 4.0ms (11.6% of total)

ival-sub: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Counts

15 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite379.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3058×	`-lowering-.f32`
3058×	`-lowering-.f64`
3022×	`/-lowering-/.f32`
3022×	`/-lowering-/.f64`
2346×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	101
1	156	84
2	1592	81
0	8724	81

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 431

Calls

Call 1

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

Outputs
(+.f64 (.f64 b b) (.f64 b (*.f64 #s(literal 2 binary64) a)))
(+.f64 (.f64 b (.f64 #s(literal 2 binary64) a)) (*.f64 b b))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 b b) (.f64 b (.f64 #s(literal 2 binary64) a)))) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) (-.f64 (.f64 b b) (.f64 b (*.f64 #s(literal 2 binary64) a)))))
(fma.f64 b b (.f64 b (.f64 #s(literal 2 binary64) a)))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 b b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(/.f64 (+.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64)))) (-.f64 (.f64 b b) (.f64 b (.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 b (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 b (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64)))) (+.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) b) (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) b) (+.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (neg.f64 (+.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 #s(literal 2 binary64) a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 b b) (.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (.f64 b (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (neg.f64 (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(/.f64 (neg.f64 (.f64 b (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))))) (neg.f64 (+.f64 b (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) b)) (neg.f64 (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) b)) (neg.f64 (+.f64 b (*.f64 #s(literal -2 binary64) a))))
(/.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))) (+.f64 (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 b b)))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 (+.f64 b (.f64 #s(literal 2 binary64) a)) b)
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(+.f64 (*.f64 #s(literal 2 binary64) a) b)
(-.f64 (/.f64 (.f64 b b) (+.f64 b (.f64 #s(literal -2 binary64) a))) (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (+.f64 b (*.f64 #s(literal -2 binary64) a))))
(-.f64 (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 a #s(literal 2 binary64) b)
(/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 b b) (.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (*.f64 a a)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 #s(literal -2 binary64) a)) (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) (+.f64 b (.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (*.f64 a a)) #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (.f64 #s(literal -2 binary64) a)) (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(/.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 b b) (.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64)))) (neg.f64 (+.f64 b (.f64 #s(literal -2 binary64) a))))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))
(/.f64 (-.f64 (.f64 (.f64 b b) (+.f64 b (.f64 #s(literal -2 binary64) a))) (.f64 (+.f64 b (.f64 #s(literal -2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 (+.f64 b (.f64 #s(literal -2 binary64) a)) (+.f64 b (.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 b b) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 b (.f64 #s(literal -2 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (+.f64 b a))) (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))) (+.f64 b a))) (neg.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b (+.f64 b a))) (.f64 (.f64 (.f64 b b) (.f64 b (+.f64 b a))) (.f64 (.f64 b b) (.f64 b (+.f64 b a))))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (+.f64 b a)) (.f64 (.f64 a (+.f64 b a)) (.f64 a (+.f64 b a)))))) (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b (+.f64 b a))) (.f64 (.f64 b b) (.f64 b (+.f64 b a)))) (-.f64 (.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a a))) (.f64 (+.f64 b a) (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b b) (.f64 b (+.f64 b a))) (.f64 (+.f64 b a) (.f64 a (*.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a)) (.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a)) (-.f64 (.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b)) (.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (-.f64 (.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (-.f64 (.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))))
(.f64 (+.f64 b a) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))
(.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))) (+.f64 b a))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 (-.f64 b a) (.f64 (-.f64 b a) (-.f64 b a)))))) (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))))))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (-.f64 b a) (.f64 b (.f64 b (-.f64 b a)))))) (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b (-.f64 b a))))))
(.f64 (/.f64 (+.f64 b a) (+.f64 (.f64 a a) (.f64 b (+.f64 b a)))) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (*.f64 b b))))) (-.f64 a b)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (*.f64 b (+.f64 b a)))) (/.f64 (+.f64 b a) (-.f64 a b)))
(+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))
(+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))
(-.f64 (/.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))))
(fma.f64 b (.f64 b b) (.f64 a (*.f64 a a)))
(fma.f64 a (.f64 a a) (.f64 b (*.f64 b b)))
(fma.f64 (.f64 b b) b (.f64 a (*.f64 a a)))
(fma.f64 (.f64 a a) a (.f64 b (*.f64 b b)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (.f64 a (.f64 a a)))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (.f64 b (.f64 b b)))
(/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))))
(/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (+.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))))) (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))))) (neg.f64 (+.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (neg.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))
(/.f64 (-.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (neg.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (+.f64 (.f64 (/.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 b a))
(.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))
(.f64 (+.f64 (.f64 b b) (-.f64 (.f64 a a) (.f64 b a))) (+.f64 b a))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (.f64 b (+.f64 b a)))) (/.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))) (-.f64 a b)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(.f64 b (.f64 b b))
(.f64 (.f64 b b) b)
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 a)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(.f64 a (.f64 a a))
(.f64 (.f64 a a) a)
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))

simplify257.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2668×	`-lowering-.f32`
2668×	`-lowering-.f64`
2024×	`sum3-define`
1918×	`+-lowering-+.f64`
1918×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	2663
1	1335	2264
2	5038	2225
0	8136	2225

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval101.0ms (1.7%)

Compiler: Compiled 25475 to 1942 computations (92.4% saved)

prune98.0ms (1.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	832	2	834
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	833	7	840

Accuracy

100.0%

Counts

840 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (.f64 (+.f64 a b) (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.4%	(*.f64 (+.f64 a b) b)
✓	99.8%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	99.4%	(*.f64 b b)
▶	98.8%	(.f64 a (+.f64 a (.f64 b (/.f64 b a))))
✓	99.4%	(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))

Compiler

Compiled 75 to 42 computations (44% saved)

simplify171.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(.f64 (+.f64 a b) (.f64 b (*.f64 b b)))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 a b) (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(*.f64 b (/.f64 b a))
✓	cost-diff	0	(+.f64 a (*.f64 b (/.f64 b a)))
✓	cost-diff	128	(.f64 a (+.f64 a (.f64 b (/.f64 b a))))

Rules

2498×	`-lowering-.f32`
2498×	`-lowering-.f64`
2236×	`fma-lowering-fma.f32`
2236×	`fma-lowering-fma.f64`
1856×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	39	72
2	93	72
3	194	70
4	326	69
5	629	69
6	2728	69
7	7852	69
0	8298	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize59.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.6%	(.f64 (+.f64 a b) (.f64 b (*.f64 b b)))
✓	accuracy	99.6%	(.f64 b (.f64 b b))
✓	accuracy	99.3%	(/.f64 (.f64 (+.f64 a b) (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(+.f64 a (*.f64 b (/.f64 b a)))
✓	accuracy	99.6%	(*.f64 b (/.f64 b a))
✓	accuracy	99.5%	(.f64 a (+.f64 a (.f64 b (/.f64 b a))))

Results

41.0ms

256×

valid

Compiler

Compiled 90 to 16 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (55.8% of total)

ival-div: 4.0ms (18.6% of total)

ival-add: 4.0ms (18.6% of total)

ival-sub: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Counts

9 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite310.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4022×	`-lowering-.f32`
4022×	`-lowering-.f64`
3760×	`/-lowering-/.f32`
3760×	`/-lowering-/.f64`
1958×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	94	51
2	853	51
0	8516	51

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 352

Calls

Call 1

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

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

simplify259.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4448×	`-lowering-.f32`
4448×	`-lowering-.f64`
2482×	`+-lowering-+.f64`
2482×	`+-lowering-+.f32`
1676×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	1605
1	768	1312
2	2775	1210
0	9055	1210

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

Outputs
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(+ (pow a 2) (pow b 2))
(+.f64 (.f64 b b) (.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(+.f64 (.f64 b b) (.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (+ (pow a 2) (pow b 2)) a)
(/.f64 (+.f64 (.f64 b b) (.f64 a a)) a)
(/ (+ (pow a 2) (pow b 2)) a)
(/.f64 (+.f64 (.f64 b b) (.f64 a a)) a)
(/ (+ (pow a 2) (pow b 2)) a)
(/.f64 (+.f64 (.f64 b b) (.f64 a a)) a)
a
(* a (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a))))
(* a (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a))))
(* a (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a))))
a
(* -1 (* a (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a))))
(* -1 (* a (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a))))
(* -1 (* a (- (* -1 (/ (pow b 2) (pow a 2))) 1)))
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a))))
a
(+ a (/ (pow b 2) a))
(+.f64 a (/.f64 (*.f64 b b) a))
(+ a (/ (pow b 2) a))
(+.f64 a (/.f64 (*.f64 b b) a))
(+ a (/ (pow b 2) a))
(+.f64 a (/.f64 (*.f64 b b) a))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(* (pow b 2) (+ (/ 1 a) (/ a (pow b 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b))))
(* (pow b 2) (+ (/ 1 a) (/ a (pow b 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b))))
(* (pow b 2) (+ (/ 1 a) (/ a (pow b 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b))))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(* (pow b 2) (+ (/ 1 a) (/ a (pow b 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b))))
(* (pow b 2) (+ (/ 1 a) (/ a (pow b 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b))))
(* (pow b 2) (+ (/ 1 a) (/ a (pow b 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b))))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(pow b 2)
(*.f64 b b)
(+ (* a (- b (* -1 b))) (pow b 2))
(+.f64 (.f64 b b) (.f64 a (*.f64 b #s(literal 2 binary64))))
(+ (* a (- (+ b (* -1 (* a (+ 1 (* -1 (/ (- b (* -1 b)) b)))))) (* -1 b))) (pow b 2))
(+.f64 (.f64 b b) (.f64 a (+.f64 a (*.f64 b #s(literal 2 binary64)))))
(+ (* a (- (+ b (* a (- (* -1 (* a (+ (* -1 (/ (- b (* -1 b)) (pow b 2))) (* 3 (/ 1 b))))) (+ 1 (* -1 (/ (- b (* -1 b)) b)))))) (* -1 b))) (pow b 2))
(+.f64 (.f64 b b) (.f64 a (+.f64 (.f64 a (-.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 3 binary64) b))))) (*.f64 b #s(literal 2 binary64)))))
(/ (pow b 3) a)
(/.f64 (.f64 b (.f64 b b)) a)
(/ (- (+ (/ (pow b 4) a) (pow b 3)) (* -1 (/ (pow b 4) a))) a)
(/.f64 (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b)))) a)) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* b (- (pow b 4) (* -1 (pow b 4))))) (pow b 5)) (pow a 2))) (+ (/ (pow b 4) a) (pow b 3))) (* -1 (/ (pow b 4) a))) a)
(/.f64 (+.f64 (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b)))) a)) (/.f64 (-.f64 (.f64 b (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) b)) (.f64 a a))) a)
(/ (- (+ (* -1 (/ (+ (* b (+ (* -1 (* b (- (pow b 4) (* -1 (pow b 4))))) (pow b 5))) (* (pow b 2) (- (pow b 4) (* -1 (pow b 4))))) (pow a 3))) (+ (/ (pow b 4) a) (pow b 3))) (+ (* -1 (/ (* b (- (pow b 4) (* -1 (pow b 4)))) (pow a 2))) (+ (* -1 (/ (pow b 4) a)) (/ (pow b 5) (pow a 2))))) a)
(/.f64 (+.f64 (/.f64 (+.f64 (.f64 b (-.f64 (.f64 b (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) b))) (.f64 (.f64 b b) (.f64 #s(literal -2 binary64) (.f64 b (.f64 b (.f64 b b)))))) (.f64 a (.f64 a a))) (+.f64 (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b)))) a)) (/.f64 (-.f64 (.f64 b (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) b)) (.f64 a a)))) a)
(/ (pow b 3) a)
(/.f64 (.f64 b (.f64 b b)) a)
(* -1 (/ (+ (* -1 (/ (- (pow b 4) (* -1 (pow b 4))) a)) (* -1 (pow b 3))) a))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b)))) a)) a)
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow b 5) a)) (+ (/ (* b (- (pow b 4) (* -1 (pow b 4)))) a) (pow b 4))) (* -1 (pow b 4))) a)) (* -1 (pow b 3))) a))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 b (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) b)) a) (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (*.f64 b b))))) a)) a)
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 5)) (* b (- (pow b 4) (* -1 (pow b 4)))))) a)) (/ (* (pow b 2) (- (pow b 4) (* -1 (pow b 4)))) a)) (+ (* -1 (pow b 5)) (* b (- (pow b 4) (* -1 (pow b 4)))))) a)) (pow b 4)) (* -1 (pow b 4))) a)) (* -1 (pow b 3))) a))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (+.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (.f64 b b) a)) (.f64 (-.f64 (.f64 b (.f64 #s(literal 2 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) b)) (/.f64 b a))) (+.f64 (.f64 b (.f64 #s(literal -2 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (*.f64 b b))) b))) a)) a)) a)
(/ (pow b 3) a)
(/.f64 (.f64 b (.f64 b b)) a)
(* (pow b 3) (+ (* 2 (/ b (pow a 2))) (/ 1 a)))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(* (pow b 3) (+ (* b (+ (* 2 (/ 1 (pow a 2))) (/ b (pow a 3)))) (/ 1 a)))
(.f64 b (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 b (.f64 a (*.f64 a a))))))))
(* (pow b 3) (+ (* b (+ (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64)))))))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (- (+ 1 (/ a b)) (* -1 (/ a b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
(* (pow b 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* a (- a (* -1 a)))) (pow a 2)) (pow b 2))) (/ a b))) (* -1 (/ a b))))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 a (/.f64 a (.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(* (pow b 2) (- (+ 1 (+ (* -1 (/ (+ (* a (+ (* -1 (* a (- a (* -1 a)))) (pow a 2))) (* (pow a 2) (- a (* -1 a)))) (pow b 3))) (/ a b))) (+ (* -1 (/ a b)) (+ (* -1 (/ (* a (- a (* -1 a))) (pow b 2))) (/ (pow a 2) (pow b 2))))))
(.f64 b (.f64 b (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a (/.f64 a (.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (- (+ 1 (/ a b)) (* -1 (/ a b))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (- a (* -1 a))) (* -1 (/ (+ (* -1 (pow a 2)) (* a (- a (* -1 a)))) b))) b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (.f64 a a) b)) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (- a (* -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (+ (* -1 (pow a 2)) (* a (- a (* -1 a)))))) (* (pow a 2) (- a (* -1 a)))) b)) (+ (* -1 (pow a 2)) (* a (- a (* -1 a))))) b))) b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 a (.f64 a a)) b) (.f64 a a)) b)) b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* a (pow b 3)) (pow b 4))
(.f64 (.f64 b b) (*.f64 b (+.f64 b a)))
(+ (* a (pow b 3)) (pow b 4))
(.f64 (.f64 b b) (*.f64 b (+.f64 b a)))
(+ (* a (pow b 3)) (pow b 4))
(.f64 (.f64 b b) (*.f64 b (+.f64 b a)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (+ (/ (pow b 4) a) (pow b 3)))
(.f64 a (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b (.f64 b b))) a)))
(* a (+ (/ (pow b 4) a) (pow b 3)))
(.f64 a (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b (.f64 b b))) a)))
(* a (+ (/ (pow b 4) a) (pow b 3)))
(.f64 a (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b (.f64 b b))) a)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* -1 (* a (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3)))))
(.f64 a (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b (.f64 b b))) a)))
(* -1 (* a (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3)))))
(.f64 a (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b (.f64 b b))) a)))
(* -1 (* a (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3)))))
(.f64 a (+.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b (.f64 b b))) a)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* (pow b 3) (+ a b))
(.f64 (.f64 b b) (*.f64 b (+.f64 b a)))
(* (pow b 3) (+ a b))
(.f64 (.f64 b b) (*.f64 b (+.f64 b a)))
(* (pow b 3) (+ a b))
(.f64 (.f64 b b) (*.f64 b (+.f64 b a)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (/ a b)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* (pow b 4) (+ 1 (/ a b)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* (pow b 4) (+ 1 (/ a b)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (/ a b)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* (pow b 4) (+ 1 (/ a b)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* (pow b 4) (+ 1 (/ a b)))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
(* b (+ 1 (/ a b)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
(* b (+ 1 (/ a b)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

eval165.0ms (2.9%)

Compiler: Compiled 14845 to 1259 computations (91.5% saved)

prune56.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	543	1	544
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	544	7	551

Accuracy

100.0%

Counts

551 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(/.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.4%	(*.f64 (+.f64 a b) b)
✓	99.8%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	99.4%	(*.f64 b b)
✓	98.8%	(.f64 a (+.f64 a (.f64 b (/.f64 b a))))
✓	99.4%	(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))

Compiler

Compiled 73 to 41 computations (43.8% saved)

simplify136.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1932×	`fnmadd-define`
1592×	`fma-define`
1264×	`sum3-define`
1132×	`fnmsub-define`
1116×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	24	38
2	47	38
3	85	38
4	141	38
5	309	38
6	920	38
7	1484	38
8	3530	38
9	5286	38
10	6360	38
11	6418	38
12	6622	38
13	6750	38
14	6754	38
0	6754	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.6%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.6%	(.f64 b (.f64 b b))
✓	accuracy	99.3%	(/.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))

Results

29.0ms

256×

valid

Compiler

Compiled 57 to 11 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (71.5% of total)

ival-div: 2.0ms (13% of total)

ival-sub: 1.0ms (6.5% of total)

ival-add: 1.0ms (6.5% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

5 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite295.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3606×	`-lowering-.f32`
3606×	`-lowering-.f64`
2492×	`/-lowering-/.f32`
2492×	`/-lowering-/.f64`
1736×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	56	21
2	455	21
3	5944	21
0	8317	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 151

Calls

Call 1

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

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

simplify320.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

2496×	`-lowering-.f32`
2496×	`-lowering-.f64`
1846×	`+-lowering-+.f64`
1846×	`+-lowering-+.f32`
1674×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	524
1	471	404
2	1744	384
3	6893	380
0	8113	380

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval26.0ms (0.4%)

Compiler: Compiled 6069 to 451 computations (92.6% saved)

prune37.0ms (0.7%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	223	7	230

Accuracy

100.0%

Counts

230 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(/.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.4%	(*.f64 (+.f64 a b) b)
✓	99.8%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	99.4%	(*.f64 b b)
✓	98.8%	(.f64 a (+.f64 a (.f64 b (/.f64 b a))))
✓	99.4%	(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))

Compiler

Compiled 178 to 72 computations (59.6% saved)

regimes28.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(+.f64 a b)
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	b
3.0ms	a

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes29.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Outputs
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Calls

2 calls:

27.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b b)

Outputs
(*.f64 b b)

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	15	22

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) b)
(*.f64 b b)

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(*.f64 (+.f64 a b) b)
(*.f64 b (+.f64 a b))
(*.f64 b b)

soundness429.0ms (7.4%)

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 45 to 23 computations (48.9% saved)

preprocess47.0ms (0.8%)

Remove: (sort a b)
Compiler: Compiled 172 to 76 computations (55.8% saved)

analyze27.0ms (0.5%)

sample1.1s (19.4%)

preprocess58.0ms (1%)

explain158.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite398.0ms (6.9%)

simplify175.0ms (3%)

eval97.0ms (1.7%)

prune54.0ms (0.9%)

simplify227.0ms (3.9%)

localize127.0ms (2.2%)

series22.0ms (0.4%)

rewrite379.0ms (6.6%)

simplify257.0ms (4.5%)

eval101.0ms (1.7%)

prune98.0ms (1.7%)

simplify171.0ms (3%)

localize59.0ms (1%)

series14.0ms (0.2%)

rewrite310.0ms (5.4%)

simplify259.0ms (4.5%)

eval165.0ms (2.9%)

prune56.0ms (1%)

simplify136.0ms (2.4%)

localize40.0ms (0.7%)

series4.0ms (0.1%)

rewrite295.0ms (5.1%)

simplify320.0ms (5.6%)

eval26.0ms (0.4%)

prune37.0ms (0.7%)

regimes28.0ms (0.5%)

regimes29.0ms (0.5%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness429.0ms (7.4%)

preprocess47.0ms (0.8%)

end0.0ms (0%)

Profiling