Metrics for Linear.Quaternion:$cexp from linear-1.19.1.3

analyze44.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 3.0ms (52.2% of total)

ival-mult: 2.0ms (34.8% of total)

ival-div: 1.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

sample924.0ms (9.6%)

Results

735.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 421.0ms

ival-sin: 252.0ms (59.8% of total)

ival-div: 95.0ms (22.5% of total)

ival-mult: 62.0ms (14.7% of total)

const: 9.0ms (2.1% of total)

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

Bogosity

preprocess60.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1270×	`fma-define`
1242×	`fnmadd-define`
682×	`sum3-define`
630×	`times-frac`
492×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	49	38
2	125	38
3	331	38
4	1247	38
5	2260	38
6	3805	38
7	3995	38
8	4111	38
9	4199	38
10	4215	38
0	5	6
1	8	6
2	10	6
3	12	6
4	13	6
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* x (/ (sin y) y))

Outputs
(* x (/ (sin y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)

Call 2

Inputs
(* x (/ (sin y) y))
(* (neg x) (/ (sin y) y))
(* x (/ (sin (neg y)) (neg y)))
(neg (* (neg x) (/ (sin y) y)))
(neg (* x (/ (sin (neg y)) (neg y))))
(* y (/ (sin x) x))

Outputs
(* x (/ (sin y) y))
(/ (* x (sin y)) y)
(* (neg x) (/ (sin y) y))
(/ (fnmsub x (sin y) 0) y)
(* x (/ (sin (neg y)) (neg y)))
(/ (* x (sin y)) y)
(neg (* (neg x) (/ (sin y) y)))
(/ (* x (sin y)) y)
(neg (* x (/ (sin (neg y)) (neg y))))
(/ (fnmsub x (sin y) 0) y)
(* y (/ (sin x) x))
(/ (* y (sin x)) x)

Symmetry

(abs y)

(negabs x)

explain88.0ms (0.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 (sin.f64 y) y)`
-	-	`(*.f64 x (/.f64 (sin.f64 y) y))`
-	-	`(sin.f64 y)`
-	-	`y`

Results

67.0ms

512×

valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 27.0ms (70.1% of total)

ival-div: 7.0ms (18.2% of total)

ival-mult: 4.0ms (10.4% of total)

const: 1.0ms (2.6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(sin.f64 y)
✓	cost-diff	(*.f64 x (sin.f64 y))
✓	cost-diff	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	cost-diff	(sin.f64 y)
✓	cost-diff	(/.f64 (sin.f64 y) y)
✓	cost-diff	(*.f64 x (/.f64 (sin.f64 y) y))

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	9	28
2	11	28
3	12	28
0	12	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (/ (sin y) y))
x
(/ (sin y) y)
(sin y)
y
(/ (* x (sin y)) y)
(* x (sin y))
x
(sin y)
y

Outputs
(* x (/ (sin y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
y
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y

localize79.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	85.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) y)

Results

69.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

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

ival-sin: 6.0ms (43.7% of total)

ival-div: 4.0ms (29.1% of total)

ival-mult: 3.0ms (21.8% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (* x (/ (sin y) y))>
#<alt (/ (sin y) y)>
#<alt (sin y)>
#<alt (/ (* x (sin y)) y)>
#<alt (* x (sin y))>

Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* x (/ (sin y) y))
1.0ms	y	@	-inf	(* x (/ (sin y) y))
1.0ms	x	@	0	(* x (/ (sin y) y))
1.0ms	x	@	-inf	(* x (/ (sin y) y))
0.0ms	x	@	inf	(* x (/ (sin y) y))

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`log-div`
744×	`cube-div`
674×	`log-prod`
626×	`frac-sub`
490×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	22	30
2	101	30
3	489	30
4	2925	5
0	10191	5

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

Inputs
(* x (/ (sin y) y))
(/ (sin y) y)
(sin y)
(/ (* x (sin y)) y)
(* x (sin y))

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify215.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2250×	`sum3-define`
2236×	`-lowering-.f32`
2236×	`-lowering-.f64`
2148×	`sum4-define`
1754×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	605
1	149	558
2	462	543
3	1516	536
4	2326	536
5	3929	536
6	5833	536
7	6341	536
8	7484	536
0	8132	536

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))

Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 y (+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))

eval15.0ms (0.2%)

Compiler: Compiled 850 to 60 computations (92.9% saved)

prune10.0ms (0.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	107	9	116

Accuracy

99.9%

Counts

116 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.4%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
▶	41.3%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
✓	85.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
	55.5%	(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	55.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
▶	55.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
▶	56.0%	x
▶	15.8%	#s(literal 0 binary64)

Compiler

Compiled 202 to 132 computations (34.7% saved)

simplify203.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	cost-diff	0	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	cost-diff	256	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))

Rules

3124×	`-lowering-.f32`
3124×	`-lowering-.f64`
1828×	`+-lowering-+.f64`
1828×	`+-lowering-+.f32`
1412×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	118
1	61	106
2	204	104
3	616	104
4	1205	104
5	1769	104
6	3978	104
7	5642	104
8	6625	104
9	7338	104
10	7680	104
11	7894	104
0	8003	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
0
(* x (+ 1 (* -1/6 (* y y))))
x
(+ 1 (* -1/6 (* y y)))
1
(* -1/6 (* y y))
-1/6
(* y y)
y
(/ (* x (* y (+ 1 (* -1/6 (* y y))))) y)
(* x (* y (+ 1 (* -1/6 (* y y)))))
x
(* y (+ 1 (* -1/6 (* y y))))
y
(+ 1 (* -1/6 (* y y)))
1
(* -1/6 (* y y))
-1/6
(* y y)
(* x (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))
x
(+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))
1
(* (* y y) (+ -1/6 (* (* y y) 1/120)))
(* y y)
y
(+ -1/6 (* (* y y) 1/120))
-1/6
(* (* y y) 1/120)
1/120

Outputs
x
0
#s(literal 0 binary64)
(* x (+ 1 (* -1/6 (* y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
x
(+ 1 (* -1/6 (* y y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
1
#s(literal 1 binary64)
(* -1/6 (* y y))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
y
(/ (* x (* y (+ 1 (* -1/6 (* y y))))) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (* y (+ 1 (* -1/6 (* y y)))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
x
(* y (+ 1 (* -1/6 (* y y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
y
(+ 1 (* -1/6 (* y y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
1
#s(literal 1 binary64)
(* -1/6 (* y y))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
(* x (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
x
(+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))
1
#s(literal 1 binary64)
(* (* y y) (+ -1/6 (* (* y y) 1/120)))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(* y y)
(*.f64 y y)
y
(+ -1/6 (* (* y y) 1/120))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
-1/6
#s(literal -1/6 binary64)
(* (* y y) 1/120)
(.f64 (.f64 y y) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)

localize236.0ms (2.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))
✓	accuracy	99.5%	(.f64 (.f64 y y) #s(literal 1/120 binary64))
✓	accuracy	98.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
✓	accuracy	100.0%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	accuracy	99.3%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	97.0%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	accuracy	76.3%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.3%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	92.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))

Results

169.0ms

256×

valid

Compiler

Compiled 144 to 19 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

...c/correct-round.rkt:119:19: 22.0ms (53.3% of total)

ival-mult: 13.0ms (31.5% of total)

ival-add: 4.0ms (9.7% of total)

ival-div: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

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

series14.0ms (0.1%)

Counts

12 → 192

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* -1/6 (* y y))))>
#<alt (+ 1 (* -1/6 (* y y)))>
#<alt (* -1/6 (* y y))>
#<alt (* y y)>
#<alt (/ (* x (* y (+ 1 (* -1/6 (* y y))))) y)>
#<alt (* x (* y (+ 1 (* -1/6 (* y y)))))>
#<alt (* y (+ 1 (* -1/6 (* y y))))>
#<alt (* x (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))>
#<alt (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))>
#<alt (* (* y y) (+ -1/6 (* (* y y) 1/120)))>
#<alt (* (* y y) 1/120)>
#<alt (+ -1/6 (* (* y y) 1/120))>

Outputs
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (* y (+ 1 (* -1/6 (* y y)))))
2.0ms	y	@	0	(* x (+ 1 (* -1/6 (* y y))))
1.0ms	x	@	0	(* x (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))
1.0ms	x	@	0	(* x (+ 1 (* -1/6 (* y y))))
1.0ms	y	@	inf	(* x (+ 1 (* -1/6 (* y y))))

rewrite337.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5346×	`-lowering-.f32`
5346×	`-lowering-.f64`
2456×	`/-lowering-/.f32`
2456×	`/-lowering-/.f64`
1788×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	89
1	107	78
2	919	76
0	8767	76

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 628

Calls

Call 1

Inputs
(* x (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
(* -1/6 (* y y))
(* y y)
(/ (* x (* y (+ 1 (* -1/6 (* y y))))) y)
(* x (* y (+ 1 (* -1/6 (* y y)))))
(* y (+ 1 (* -1/6 (* y y))))
(* x (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))
(+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))
(* (* y y) (+ -1/6 (* (* y y) 1/120)))
(* (* y y) 1/120)
(+ -1/6 (* (* y y) 1/120))

Outputs
(+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(+.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(-.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 x y)) x)
(fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x x)
(fma.f64 (.f64 #s(literal -1/6 binary64) y) (.f64 x y) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x)
(fma.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x (.f64 #s(literal -1/6 binary64) y)) y x)
(neg.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/36 binary64))) x)))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
(/.f64 (.f64 x (.f64 y (+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y y)))) x) (.f64 (+.f64 (.f64 y y) (.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))) (-.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))) y))) y))
(/.f64 (.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) x) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) y))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))) y))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) y) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))) y))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) y))
(/.f64 (.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))) y))
(/.f64 (.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))
(/.f64 (.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x)) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) #s(literal 1 binary64)))
(.f64 y (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y))
(.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (/.f64 x y)))
(.f64 y (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y)))
(.f64 y (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y) x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 y (/.f64 x y)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) #s(literal 1 binary64))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 x y))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y)))
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(+.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal -1/6 binary64))
(neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/720 binary64) (.f64 y y)))) (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))))
(/.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))))
(/.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/720 binary64) (.f64 y y)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64)) (+.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))) #s(literal -1/36 binary64)))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64)) (neg.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/720 binary64) (.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1/10077696 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) (.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1/207360000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))))) (.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 y y))))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64)))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))) #s(literal -1/36 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64))))))
(.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/14400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))))

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2228×	`-lowering-.f32`
2228×	`-lowering-.f64`
1832×	`fnmadd-define`
1742×	`fma-lowering-fma.f32`
1742×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1573
1	217	1268
2	670	1236
3	2233	1210
4	5962	1210
0	8036	1210

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))

Outputs
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1/6 (pow y 3))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
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(* -1/6 (pow y 3))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
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(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
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x
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))))
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))))
(* 1/120 (* x (pow y 4)))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(.f64 y (.f64 x (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(- (* 1/120 (pow y 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(- (* 1/120 (pow y 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(* 1/120 (pow y 2))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))

eval122.0ms (1.3%)

Compiler: Compiled 23900 to 1983 computations (91.7% saved)

prune93.0ms (1%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	974	10	984
Fresh	2	0	2
Picked	1	4	5
Done	0	2	2
Total	977	16	993

Accuracy

99.9%

Counts

993 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.6%	(/.f64 (.f64 x (.f64 y (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))) y)
✓	41.3%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
	3.0%	(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) y)
✓	85.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
	55.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))))
	55.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
▶	55.6%	(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y))) x)
▶	45.0%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y) y)
▶	55.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
▶	55.0%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
	54.7%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	55.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
▶	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	56.0%	x
✓	15.8%	#s(literal 0 binary64)

Compiler

Compiled 420 to 267 computations (36.4% saved)

simplify175.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
✓	cost-diff	0	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	cost-diff	128	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) y)
✓	cost-diff	128	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y) y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 1/120 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y)))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y))) x)

Rules

3588×	`-lowering-.f32`
3588×	`-lowering-.f64`
2016×	`+-lowering-+.f64`
2016×	`+-lowering-+.f32`
1534×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	234
1	98	192
2	260	191
3	829	191
4	1983	190
5	4964	190
6	6025	190
7	7153	190
0	8053	190

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ -1/6 (* y (* y 1/120))) (* y (* x y))) x)
(* (+ -1/6 (* y (* y 1/120))) (* y (* x y)))
(+ -1/6 (* y (* y 1/120)))
-1/6
(* y (* y 1/120))
y
(* y 1/120)
1/120
(* y (* x y))
(* x y)
x
(* x (* -1/6 (* y y)))
x
(* -1/6 (* y y))
-1/6
(* y y)
y
(* (/ (* x (+ 1 (* -1/6 (* y y)))) y) y)
(/ (* x (+ 1 (* -1/6 (* y y)))) y)
(* x (+ 1 (* -1/6 (* y y))))
x
(+ 1 (* -1/6 (* y y)))
1
(* -1/6 (* y y))
-1/6
(* y y)
y
(* (* (/ 1 y) (* y (+ 1 (* -1/6 (* y y))))) x)
(* (/ 1 y) (* y (+ 1 (* -1/6 (* y y)))))
(/ 1 y)
1
y
(* y (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
(* -1/6 (* y y))
-1/6
(* y y)
x
(* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))
x
(/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6)))
(+ 1 (* (* y (* y (* y y))) -1/36))
1
(* (* y (* y (* y y))) -1/36)
(* y (* y (* y y)))
y
(* y (* y y))
(* y y)
-1/36
(+ 1 (* (* y y) 1/6))
(* (* y y) 1/6)
1/6

Outputs
(+ (* (+ -1/6 (* y (* y 1/120))) (* y (* x y))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (*.f64 y y))))
(* (+ -1/6 (* y (* y 1/120))) (* y (* x y)))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (.f64 x (*.f64 y y)))
(+ -1/6 (* y (* y 1/120)))
(+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))
-1/6
#s(literal -1/6 binary64)
(* y (* y 1/120))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
y
(* y 1/120)
(*.f64 y #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(* y (* x y))
(.f64 x (.f64 y y))
(* x y)
(*.f64 y x)
x
(* x (* -1/6 (* y y)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
x
(* -1/6 (* y y))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
y
(* (/ (* x (+ 1 (* -1/6 (* y y)))) y) y)
(.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/ (* x (+ 1 (* -1/6 (* y y)))) y)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/6 binary64) y)))
(* x (+ 1 (* -1/6 (* y y))))
(.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
x
(+ 1 (* -1/6 (* y y)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* -1/6 (* y y))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
y
(* (* (/ 1 y) (* y (+ 1 (* -1/6 (* y y))))) x)
(.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* (/ 1 y) (* y (+ 1 (* -1/6 (* y y)))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* y (+ 1 (* -1/6 (* y y))))
(.f64 y (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(+ 1 (* -1/6 (* y y)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
(* -1/6 (* y y))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
x
(* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/36 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
x
(/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(+ 1 (* (* y (* y (* y y))) -1/36))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/36 binary64))))
1
#s(literal 1 binary64)
(* (* y (* y (* y y))) -1/36)
(.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/36 binary64)))
(* y (* y (* y y)))
(.f64 y (.f64 y (*.f64 y y)))
y
(* y (* y y))
(.f64 y (.f64 y y))
(* y y)
(*.f64 y y)
-1/36
#s(literal -1/36 binary64)
(+ 1 (* (* y y) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(* (* y y) 1/6)
(.f64 (.f64 y y) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize224.0ms (2.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
✓	accuracy	99.3%	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	accuracy	92.2%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
✓	accuracy	63.6%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	accuracy	99.3%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	92.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
✓	accuracy	91.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	accuracy	99.3%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	92.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	accuracy	89.3%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y) y)
✓	accuracy	88.5%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.3%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	88.6%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	accuracy	99.9%	(*.f64 y #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y)))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(.f64 y (.f64 x y))

Results

166.0ms

256×

valid

Compiler

Compiled 279 to 34 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 34.0ms (56.3% of total)

...c/correct-round.rkt:119:19: 14.0ms (23.2% of total)

ival-add: 7.0ms (11.6% of total)

ival-div: 5.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Counts

22 → 372

Calls

Call 1

Inputs
#<alt (+ (* (+ -1/6 (* y (* y 1/120))) (* y (* x y))) x)>
#<alt (* (+ -1/6 (* y (* y 1/120))) (* y (* x y)))>
#<alt (+ -1/6 (* y (* y 1/120)))>
#<alt (* y (* y 1/120))>
#<alt (* x (* -1/6 (* y y)))>
#<alt (* -1/6 (* y y))>
#<alt (* y y)>
#<alt (* (/ (* x (+ 1 (* -1/6 (* y y)))) y) y)>
#<alt (/ (* x (+ 1 (* -1/6 (* y y)))) y)>
#<alt (* x (+ 1 (* -1/6 (* y y))))>
#<alt (+ 1 (* -1/6 (* y y)))>
#<alt (* (/ 1 y) (* y (+ 1 (* -1/6 (* y y)))))>
#<alt (* (* (/ 1 y) (* y (+ 1 (* -1/6 (* y y))))) x)>
#<alt (/ 1 y)>
#<alt (* y (+ 1 (* -1/6 (* y y))))>
#<alt (* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))>
#<alt (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6)))>
#<alt (+ 1 (* (* y (* y (* y y))) -1/36))>
#<alt (* (* y (* y (* y y))) -1/36)>
#<alt (* y (* x y))>
#<alt (* y 1/120)>
#<alt (* (* y y) 1/6)>

Outputs
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (* -1/6 (* x y))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1/36 (pow y 4)))>
#<alt (+ 1 (* -1/36 (pow y 4)))>
#<alt (+ 1 (* -1/36 (pow y 4)))>
#<alt (* -1/36 (pow y 4))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* -1/36 (pow y 4))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* -1/36 (pow y 4))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>

Calls

93 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+ (* (+ -1/6 (* y (* y 1/120))) (* y (* x y))) x)
2.0ms	x	@	inf	(* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))
2.0ms	x	@	0	(* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))
1.0ms	y	@	inf	(* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))
1.0ms	y	@	0	(* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))

rewrite329.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3118×	`-lowering-.f32`
3118×	`-lowering-.f64`
2940×	`/-lowering-/.f32`
2940×	`/-lowering-/.f64`
1614×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	177
1	178	139
2	1397	138
0	8592	138

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 921

Calls

Call 1

Inputs
(+ (* (+ -1/6 (* y (* y 1/120))) (* y (* x y))) x)
(* (+ -1/6 (* y (* y 1/120))) (* y (* x y)))
(+ -1/6 (* y (* y 1/120)))
(* y (* y 1/120))
(* x (* -1/6 (* y y)))
(* -1/6 (* y y))
(* y y)
(* (/ (* x (+ 1 (* -1/6 (* y y)))) y) y)
(/ (* x (+ 1 (* -1/6 (* y y)))) y)
(* x (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
(* (/ 1 y) (* y (+ 1 (* -1/6 (* y y)))))
(* (* (/ 1 y) (* y (+ 1 (* -1/6 (* y y))))) x)
(/ 1 y)
(* y (+ 1 (* -1/6 (* y y))))
(* x (/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6))))
(/ (+ 1 (* (* y (* y (* y y))) -1/36)) (+ 1 (* (* y y) 1/6)))
(+ 1 (* (* y (* y (* y y))) -1/36))
(* (* y (* y (* y y))) -1/36)
(* y (* x y))
(* y 1/120)
(* (* y y) 1/6)

Outputs
(+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))
(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))) x)
(+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))))
(fma.f64 y (.f64 (.f64 y x) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) x)
(fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))
(fma.f64 (.f64 y x) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) x)
(fma.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))
(fma.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 y x) x)
(fma.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y x)) y x)
(fma.f64 (.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) y) x x)
(fma.f64 (.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) x) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) x)))) (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y)))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 y y)) x)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 y y)) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) (.f64 (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x) (.f64 x x))) (.f64 (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))))) (neg.f64 (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x))) (.f64 (/.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))
(.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (*.f64 y y))))))))
(.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 x (.f64 y y))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 y y)) x))))))
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(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/36 binary64))) #s(literal -1 binary64))))
(/.f64 (.f64 y (.f64 (*.f64 y y) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/36 binary64))))
(.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -1/36 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/36 binary64))))
(.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal -1/36 binary64)))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(.f64 #s(literal -1/36 binary64) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/36 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/36 binary64))) y)
(.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 y (.f64 y y)))
(.f64 (.f64 #s(literal -1/36 binary64) (.f64 y y)) (.f64 y y))
(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(/.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)
(/.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal 1/6 binary64)) y)

simplify263.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2882×	`-lowering-.f32`
2882×	`-lowering-.f64`
1846×	`fma-lowering-fma.f32`
1846×	`fma-lowering-fma.f64`
1712×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	2888
1	243	2348
2	683	2316
3	2113	2228
4	7405	2228
0	8182	2228

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* x (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ (* x (+ 1 (* -1/6 (pow y 2)))) y)
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(* -1/6 (* x y))
(* y (+ (* -1/6 x) (/ x (pow y 2))))
(* y (+ (* -1/6 x) (/ x (pow y 2))))
(* y (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x y))
(* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ 1 (* -1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
1
(+ 1 (* -1/36 (pow y 4)))
(+ 1 (* -1/36 (pow y 4)))
(+ 1 (* -1/36 (pow y 4)))
(* -1/36 (pow y 4))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* -1/36 (pow y 4))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* -1/36 (pow y 4))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))

Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* 1/120 (* x (pow y 4)))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 x (*.f64 y y)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* 1/120 (* x (pow y 4)))
(.f64 y (.f64 #s(literal 1/120 binary64) (.f64 y (.f64 x (*.f64 y y)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
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(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(* -1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(* -1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(* -1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(* -1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))

eval202.0ms (2.1%)

Compiler: Compiled 35236 to 2887 computations (91.8% saved)

prune143.0ms (1.5%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1525	8	1533
Fresh	2	3	5
Picked	3	2	5
Done	1	5	6
Total	1531	18	1549

Accuracy

99.9%

Counts

1549 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.6%	(/.f64 (.f64 x (.f64 y (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))) y)
✓	85.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	46.8%	(/.f64 y (/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))))
	55.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))))
✓	55.6%	(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y))) x)
	55.5%	(.f64 (/.f64 y (/.f64 y (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) x)
▶	56.6%	(*.f64 (/.f64 x y) y)
▶	55.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
	3.0%	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
▶	44.9%	(.f64 (.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))) y)
	54.7%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)))
	3.0%	(.f64 x (/.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	68.2%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
✓	55.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	56.0%	x
✓	15.8%	#s(literal 0 binary64)

Compiler

Compiled 397 to 258 computations (35% saved)

simplify263.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 y (/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(.f64 (.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	256	(*.f64 (/.f64 x y) y)
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
✓	cost-diff	128	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

Rules

3380×	`fma-define`
2572×	`fma-lowering-fma.f32`
2572×	`fma-lowering-fma.f64`
2548×	`-lowering-.f32`
2548×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	111
1	66	107
2	147	103
3	481	102
4	3045	102
5	3725	102
6	4310	102
7	5357	102
8	5461	102
9	5470	102
10	7165	102
11	7569	102
0	8595	102

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ 1 (+ 1 (* (* y y) 1/6))))
x
(/ 1 (+ 1 (* (* y y) 1/6)))
1
(+ 1 (* (* y y) 1/6))
(* (* y y) 1/6)
(* y y)
y
1/6
(* (/ x y) y)
(/ x y)
x
y
(* (* (/ 1 y) y) x)
(* (/ 1 y) y)
(/ 1 y)
1
y
x
(* (* x (+ (* -1/6 y) (/ 1 y))) y)
(* x (+ (* -1/6 y) (/ 1 y)))
x
(+ (* -1/6 y) (/ 1 y))
(* -1/6 y)
-1/6
y
(/ 1 y)
1
(/ y (/ (/ y x) (+ (* -1/6 (* y y)) 1)))
y
(/ (/ y x) (+ (* -1/6 (* y y)) 1))
(/ y x)
x
(+ (* -1/6 (* y y)) 1)
(* -1/6 (* y y))
-1/6
(* y y)
1

Outputs
(* x (/ 1 (+ 1 (* (* y y) 1/6))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
x
(/ 1 (+ 1 (* (* y y) 1/6)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* (* y y) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(* (* y y) 1/6)
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* y y)
(*.f64 y y)
y
1/6
#s(literal 1/6 binary64)
(* (/ x y) y)
x
(/ x y)
(/.f64 x y)
x
y
(* (* (/ 1 y) y) x)
x
(* (/ 1 y) y)
#s(literal 1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
(* (* x (+ (* -1/6 y) (/ 1 y))) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ (* -1/6 y) (/ 1 y)))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))))
x
(+ (* -1/6 y) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64)))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
y
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(/ y (/ (/ y x) (+ (* -1/6 (* y y)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
y
(/ (/ y x) (+ (* -1/6 (* y y)) 1))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64))))
(/ y x)
(/.f64 y x)
x
(+ (* -1/6 (* y y)) 1)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(* -1/6 (* y y))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
1
#s(literal 1 binary64)

localize146.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.3%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	90.4%	(/.f64 y (/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))))
✓	accuracy	80.2%	(/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.5%	(*.f64 #s(literal -1/6 binary64) y)
✓	accuracy	89.3%	(.f64 (.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	78.1%	(*.f64 (/.f64 x y) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
✓	accuracy	99.3%	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	accuracy	96.2%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

Results

109.0ms

256×

valid

Compiler

Compiled 153 to 25 computations (83.7% saved)

Precisions

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

ival-mult: 23.0ms (48.7% of total)

ival-div: 12.0ms (25.4% of total)

...c/correct-round.rkt:119:19: 9.0ms (19.1% of total)

ival-add: 4.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Counts

19 → 336

Calls

Call 1

Inputs
#<alt (* x (/ 1 (+ 1 (* (* y y) 1/6))))>
#<alt (/ 1 (+ 1 (* (* y y) 1/6)))>
#<alt (+ 1 (* (* y y) 1/6))>
#<alt (* (* y y) 1/6)>
#<alt (* (/ x y) y)>
#<alt (/ x y)>
#<alt (* (/ 1 y) y)>
#<alt (* (* (/ 1 y) y) x)>
#<alt (/ 1 y)>
#<alt (* (* x (+ (* -1/6 y) (/ 1 y))) y)>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (+ (* -1/6 y) (/ 1 y))>
#<alt (* -1/6 y)>
#<alt (/ y (/ (/ y x) (+ (* -1/6 (* y y)) 1)))>
#<alt (/ (/ y x) (+ (* -1/6 (* y y)) 1))>
#<alt (/ y x)>
#<alt (+ (* -1/6 (* y y)) 1)>
#<alt (* y y)>
#<alt (* -1/6 (* y y))>

Outputs
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt (* x (* y (+ (* -1/6 y) (/ 1 y))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (* x (+ (* -1/6 y) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (* -1/6 (* x y))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) y)>
#<alt (* -1/6 y)>
#<alt (* y (- (/ 1 (pow y 2)) 1/6))>
#<alt (* y (- (/ 1 (pow y 2)) 1/6))>
#<alt (* y (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1 (* y (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* y (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* y (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (/ y x)>
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ -6 (* x y))>
#<alt (* -1 (/ (+ (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2))))) y))>
#<alt (/ (- (* -1 (/ (+ (* 36 (/ 1 x)) (* 216 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 6 (/ 1 x))) y)>
#<alt (/ (- (* -1 (/ (+ (* 216 (/ 1 x)) (* 1296 (/ 1 (* x (pow y 2))))) (pow y 4))) (+ (* 6 (/ 1 x)) (/ 36 (* x (pow y 2))))) y)>
#<alt (/ -6 (* x y))>
#<alt (* -1 (/ (+ (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* 6 (/ 1 x)) (+ (/ 36 (* x (pow y 2))) (/ 216 (* x (pow y 4))))) y))>
#<alt (* -1 (/ (+ (* 6 (/ 1 x)) (+ (* 216 (/ 1 (* x (pow y 4)))) (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))))) y))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>

Calls

84 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* x (+ (* -1/6 y) (/ 1 y)))
1.0ms	x	@	0	(* (* x (+ (* -1/6 y) (/ 1 y))) y)
1.0ms	y	@	-inf	(* (* x (+ (* -1/6 y) (/ 1 y))) y)
1.0ms	x	@	0	(* x (/ 1 (+ 1 (* (* y y) 1/6))))
0.0ms	x	@	-inf	(* x (/ 1 (+ 1 (* (* y y) 1/6))))

rewrite317.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4628×	`-lowering-.f32`
4628×	`-lowering-.f64`
2324×	`/-lowering-/.f32`
2324×	`/-lowering-/.f64`
1226×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	98
1	138	86
2	1069	81
0	9084	81

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1047

Calls

Call 1

Inputs
(* x (/ 1 (+ 1 (* (* y y) 1/6))))
(/ 1 (+ 1 (* (* y y) 1/6)))
(+ 1 (* (* y y) 1/6))
(* (* y y) 1/6)
(* (/ x y) y)
(/ x y)
(* (/ 1 y) y)
(* (* (/ 1 y) y) x)
(/ 1 y)
(* (* x (+ (* -1/6 y) (/ 1 y))) y)
(* x (+ (* -1/6 y) (/ 1 y)))
(+ (* -1/6 y) (/ 1 y))
(* -1/6 y)
(/ y (/ (/ y x) (+ (* -1/6 (* y y)) 1)))
(/ (/ y x) (+ (* -1/6 (* y y)) 1))
(/ y x)
(+ (* -1/6 (* y y)) 1)
(* y y)
(* -1/6 (* y y))

Outputs
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))))) (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))))))
(+.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))))) (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))))) (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))))))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))) x))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y)))
(neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(.f64 y (.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(.f64 (/.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) y)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) y)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) y)))
(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x y))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))) x))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (*.f64 x y))
(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64)))))
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(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))
(neg.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(.f64 y (neg.f64 (.f64 y #s(literal 1/6 binary64))))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal -1/6 binary64)) y)
(.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/6 binary64))
(.f64 (neg.f64 (.f64 y #s(literal 1/6 binary64))) y)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/6 binary64)) y)
(.f64 (.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/6 binary64))) y)

simplify280.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3510×	`-lowering-.f32`
3510×	`-lowering-.f64`
2108×	`+-lowering-+.f64`
2108×	`+-lowering-+.f32`
1424×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	2007
1	541	1705
2	1565	1693
3	4518	1646
0	8250	1646

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
1
1
1
1
1
1
1
1
1
1
1
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
(* x (* y (+ (* -1/6 y) (/ 1 y))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(* x (+ (* -1/6 y) (/ 1 y)))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(* -1/6 (* x y))
(* y (+ (* -1/6 x) (/ x (pow y 2))))
(* y (+ (* -1/6 x) (/ x (pow y 2))))
(* y (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x y))
(* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(/ 1 y)
(/ (+ 1 (* -1/6 (pow y 2))) y)
(/ (+ 1 (* -1/6 (pow y 2))) y)
(/ (+ 1 (* -1/6 (pow y 2))) y)
(* -1/6 y)
(* y (- (/ 1 (pow y 2)) 1/6))
(* y (- (/ 1 (pow y 2)) 1/6))
(* y (- (/ 1 (pow y 2)) 1/6))
(* -1/6 y)
(* -1 (* y (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* y (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* y (- 1/6 (/ 1 (pow y 2)))))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(/ y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ -6 (* x y))
(* -1 (/ (+ (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2))))) y))
(/ (- (* -1 (/ (+ (* 36 (/ 1 x)) (* 216 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 6 (/ 1 x))) y)
(/ (- (* -1 (/ (+ (* 216 (/ 1 x)) (* 1296 (/ 1 (* x (pow y 2))))) (pow y 4))) (+ (* 6 (/ 1 x)) (/ 36 (* x (pow y 2))))) y)
(/ -6 (* x y))
(* -1 (/ (+ (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2))))) y))
(* -1 (/ (+ (* 6 (/ 1 x)) (+ (/ 36 (* x (pow y 2))) (/ 216 (* x (pow y 4))))) y))
(* -1 (/ (+ (* 6 (/ 1 x)) (+ (* 216 (/ 1 (* x (pow y 4)))) (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))))) y))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y (* x (+ 1 (* -1/6 (pow y 2)))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))

Outputs
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/216 binary64))))))))
(* 6 (/ x (pow y 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y)))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -36 binary64) (.f64 y y))))) (*.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 x (+.f64 (/.f64 #s(literal 36 binary64) (.f64 y y)) (/.f64 #s(literal -216 binary64) (.f64 y (.f64 y (.f64 y y))))))) (*.f64 y y))
(* 6 (/ x (pow y 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y)))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -36 binary64) (.f64 y y))))) (*.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 x (+.f64 (/.f64 #s(literal 36 binary64) (.f64 y y)) (/.f64 #s(literal -216 binary64) (.f64 y (.f64 y (.f64 y y))))))) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/36 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/216 binary64)))))))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))) (.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))) (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y)))) (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))) (.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))) (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y)))) (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(* 1/6 (pow y 2))
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(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))

eval234.0ms (2.4%)

Compiler: Compiled 26414 to 2629 computations (90% saved)

prune200.0ms (2.1%)

Pruning

42 alts after pruning (31 fresh and 11 done)

	Pruned	Kept	Total
New	1403	29	1432
Fresh	4	2	6
Picked	1	4	5
Done	0	7	7
Total	1408	42	1450

Accuracy

99.9%

Counts

1450 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.5%	(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
	56.3%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	85.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	46.8%	(/.f64 y (/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))))
	57.8%	(/.f64 y (/.f64 y x))
	58.8%	(/.f64 y (.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
	55.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))))
	67.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
	68.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	55.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	55.6%	(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y))) x)
	57.3%	(.f64 (/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) y)
	41.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))))
	52.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (/.f64 (.f64 x y) #s(literal 1 binary64)))
	40.1%	(.f64 (/.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
	57.2%	(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64)))))
	56.4%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
✓	56.6%	(*.f64 (/.f64 x y) y)
	56.2%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
	53.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y))
	55.6%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	41.3%	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))) (*.f64 x y))
	53.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
	57.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y) (/.f64 x y))
✓	55.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
	3.0%	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
✓	44.9%	(.f64 (.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))) y)
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	16.5%	(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
	67.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))))
	67.7%	(.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))))
	68.2%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
	68.2%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))))
	44.5%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) y))) y))))
	21.6%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/6 binary64)))) y))))
	55.0%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)))) (+.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
	16.5%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
✓	55.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
	54.9%	(.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
✓	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	56.0%	x
✓	15.8%	#s(literal 0 binary64)

Compiler

Compiled 1586 to 650 computations (59% saved)

regimes143.0ms (1.5%)

Counts

56 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(.f64 (.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))) y)
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))) (*.f64 x y))
(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 y (/.f64 y (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) x)
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y) y)
(.f64 (/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 y (.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 y (/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y))
(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (/.f64 (.f64 x y) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) y))) y))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (.f64 x (.f64 y (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)))) (+.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/6 binary64)))) y))))
(.f64 (/.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
(.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Calls

4 calls:

58.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
17.0ms	(/.f64 (sin.f64 y) y)
16.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.8%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes43.0ms (0.5%)

Counts

54 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(.f64 (.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))) y)
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))) (*.f64 x y))
(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 y (/.f64 y (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) x)
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y) y)
(.f64 (/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 y (.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 y (/.f64 (/.f64 y x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) y))
(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y (*.f64 x y))) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (/.f64 (.f64 x y) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))) y)))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) y))) y))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (.f64 x (.f64 y (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)))) (+.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/6 binary64)))) y))))
(.f64 (/.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
(.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))

Outputs
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

Calls

2 calls:

26.0ms	x
15.0ms	y

Results

Accuracy	Segments	Branch
68.2%	1	`x`
68.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
68.2%	1	`y`
68.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) y)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))

Calls

2 calls:

6.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
68.3%	2	`y`
67.4%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)

Outputs
x
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.8%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))

Outputs
x
#s(literal 0 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.8%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
15.8%	1	`x`
15.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	36684.67990495839	531704248592.04614

Results

13.0ms

144×

valid

Compiler

Compiled 211 to 153 computations (27.5% saved)

Precisions

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

ival-sin: 6.0ms (72.6% of total)

ival-div: 1.0ms (12.1% of total)

ival-mult: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.007129441467852649	36684.67990495839

Results

15.0ms

144×

valid

Compiler

Compiled 139 to 99 computations (28.8% saved)

Precisions

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

ival-sin: 7.0ms (71.3% of total)

ival-div: 1.0ms (10.2% of total)

ival-mult: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.892694818277769e+84	6.466961951182266e+95

Results

15.0ms

160×

valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 6.0ms (68.6% of total)

ival-div: 1.0ms (11.4% of total)

ival-mult: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	65
1	43	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 4100000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) x (.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 6999999999999999757327549275195921845052507801201312792394826901669246791631826321408 binary64)) x #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(if (<=.f64 y #s(literal 4100000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 4100000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) x (.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 6999999999999999757327549275195921845052507801201312792394826901669246791631826321408 binary64)) x #s(literal 0 binary64))
#s(literal 0 binary64)

soundness3.7s (38.6%)

Rules

5346×	`-lowering-.f32`
5346×	`-lowering-.f64`
3510×	`-lowering-.f32`
3510×	`-lowering-.f64`
2882×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	89
1	107	78
2	919	76
0	8767	76
0	83	2888
1	243	2348
2	683	2316
3	2113	2228
4	7405	2228
0	8182	2228
0	174	2007
1	541	1705
2	1565	1693
3	4518	1646
0	8250	1646
0	7	30
1	22	30
2	101	30
3	489	30
4	2925	5
0	10191	5
0	47	605
1	149	558
2	462	543
3	1516	536
4	2326	536
5	3929	536
6	5833	536
7	6341	536
8	7484	536
0	8132	536

Stop Event

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

Compiler

Compiled 217 to 138 computations (36.4% saved)

preprocess72.0ms (0.7%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 246 to 130 computations (47.2% saved)

analyze44.0ms (0.5%)

sample924.0ms (9.6%)

preprocess60.0ms (0.6%)

explain88.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize79.0ms (0.8%)

series9.0ms (0.1%)

rewrite82.0ms (0.9%)

simplify215.0ms (2.2%)

eval15.0ms (0.2%)

prune10.0ms (0.1%)

simplify203.0ms (2.1%)

localize236.0ms (2.5%)

series14.0ms (0.1%)

rewrite337.0ms (3.5%)

simplify163.0ms (1.7%)

eval122.0ms (1.3%)

prune93.0ms (1%)

simplify175.0ms (1.8%)

localize224.0ms (2.3%)

series23.0ms (0.2%)

rewrite329.0ms (3.4%)

simplify263.0ms (2.7%)

eval202.0ms (2.1%)

prune143.0ms (1.5%)

simplify263.0ms (2.7%)

localize146.0ms (1.5%)

series22.0ms (0.2%)

rewrite317.0ms (3.3%)

simplify280.0ms (2.9%)

eval234.0ms (2.4%)

prune200.0ms (2.1%)

regimes143.0ms (1.5%)

regimes43.0ms (0.5%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch23.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify7.0ms (0.1%)

soundness3.7s (38.6%)

preprocess72.0ms (0.7%)

end0.0ms (0%)

Profiling