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

analyze16.0ms (0.2%)

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 (48.7% of total)

ival-mult: 2.0ms (32.5% of total)

ival-div: 1.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

sample820.0ms (8.9%)

Results

635.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-sin: 233.0ms (62.3% of total)

ival-div: 69.0ms (18.4% of total)

ival-mult: 62.0ms (16.6% of total)

const: 7.0ms (1.9% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess62.0ms (0.7%)

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)

explain66.0ms (0.7%)

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

42.0ms

512×

valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

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

ival-sin: 14.0ms (58.7% of total)

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

ival-div: 4.0ms (16.8% of total)

const: 1.0ms (4.2% 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
▶	89.9%	(/.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)

simplify4.0ms (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

localize44.0ms (0.5%)

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	90.0%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(/.f64 (sin.f64 y) y)
✓	accuracy	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Results

31.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (37.8% of total)

ival-sin: 7.0ms (37.8% of total)

ival-div: 4.0ms (21.6% 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
1.0ms	y	@	-inf	(/ (sin y) y)
1.0ms	y	@	-inf	(* x (/ (sin y) y))
1.0ms	x	@	0	(* x (/ (sin y) y))
1.0ms	y	@	inf	(* x (/ (sin y) y))
1.0ms	x	@	-inf	(* x (/ (sin y) y))

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`frac-2neg`
880×	`log-div`
744×	`cube-div`
674×	`log-prod`
626×	`frac-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	22	30
2	101	30
3	489	30
4	2919	5
0	10726	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)

simplify205.0ms (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	588
2	461	570
3	1509	562
4	2322	562
5	3926	562
6	5825	562
7	6331	562
8	7474	562
0	8120	562

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

eval9.0ms (0.1%)

Compiler: Compiled 850 to 63 computations (92.6% saved)

prune11.0ms (0.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	105	11	116

Accuracy

99.9%

Counts

116 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y)) y)
	37.8%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) y)
✓	89.9%	(/.f64 (*.f64 x (sin.f64 y)) y)
	38.2%	(/.f64 (*.f64 x y) y)
	47.6%	(+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	47.4%	(.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))))))
▶	47.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
▶	47.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
▶	48.1%	x
▶	15.4%	#s(literal 0 binary64)

Compiler

Compiled 250 to 164 computations (34.4% saved)

simplify165.0ms (1.8%)

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 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y))
✓	cost-diff	256	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y)) y)
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))

Rules

2448×	`+-lowering-+.f64`
2448×	`+-lowering-+.f32`
2316×	`-lowering-.f32`
2316×	`-lowering-.f64`
2130×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	183
1	69	165
2	228	165
3	722	164
4	2256	163
5	6439	163
0	8112	163

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
0
(* x (+ 1 (* y (* y -1/6))))
x
(+ 1 (* y (* y -1/6)))
1
(* y (* y -1/6))
y
(* y -1/6)
-1/6
(/ (* (+ 1 (* y (* y -1/6))) (* x y)) y)
(* (+ 1 (* y (* y -1/6))) (* x y))
(+ 1 (* y (* y -1/6)))
1
(* y (* y -1/6))
y
(* y -1/6)
-1/6
(* x y)
x
(* x (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))
x
(+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))
1
(* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))
(* y y)
y
(+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))
-1/6
(* y (* y (+ 1/120 (* (* y y) -1/5040))))
(* y (+ 1/120 (* (* y y) -1/5040)))
(+ 1/120 (* (* y y) -1/5040))
1/120
(* (* y y) -1/5040)
-1/5040

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

localize133.0ms (1.4%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal -1/5040 binary64))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))
✓	accuracy	98.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
✓	accuracy	99.9%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	99.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y))
✓	accuracy	81.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y)) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	accuracy	99.9%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	93.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))

Results

96.0ms

256×

valid

Compiler

Compiled 190 to 24 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

...c/correct-round.rkt:119:19: 20.0ms (43.5% of total)

ival-mult: 19.0ms (41.3% of total)

ival-add: 5.0ms (10.9% of total)

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

const: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Counts

12 → 192

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* y (* y -1/6))))>
#<alt (+ 1 (* y (* y -1/6)))>
#<alt (* y (* y -1/6))>
#<alt (* y -1/6)>
#<alt (/ (* (+ 1 (* y (* y -1/6))) (* x y)) y)>
#<alt (* (+ 1 (* y (* y -1/6))) (* x y))>
#<alt (* x (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))>
#<alt (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))>
#<alt (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))>
#<alt (* y y)>
#<alt (* (* y y) -1/5040)>
#<alt (* y (+ 1/120 (* (* y y) -1/5040)))>

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 (* -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 (* 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 (* 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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (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) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<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 (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<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 (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* 1/120 y)>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* y (+ 1/120 (* (* y y) -1/5040)))
2.0ms	y	@	0	(* x (+ 1 (* y (* y -1/6))))
1.0ms	x	@	0	(* x (+ 1 (* (* y y) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040))))))))
1.0ms	x	@	0	(* x (+ 1 (* y (* y -1/6))))
1.0ms	y	@	inf	(* x (+ 1 (* y (* y -1/6))))

rewrite419.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4042×	`-lowering-.f32`
4042×	`-lowering-.f64`
3124×	`/-lowering-/.f32`
3124×	`/-lowering-/.f64`
2060×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	118
1	129	105
2	1129	105
0	8388	105

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 569

Calls

Call 1

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

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)
(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) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x)) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) #s(literal -1 binary64)) x))
(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 y (.f64 (.f64 y #s(literal -1/6 binary64)) x) x)
(fma.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 x y) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x x)
(fma.f64 (.f64 x y) (.f64 y #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
(neg.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) #s(literal -1 binary64)) x))
(/.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 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 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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) (.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (*.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(/.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y))
(/.f64 (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (.f64 x y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) y))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (.f64 x y)) (.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) y))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 x x))) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) (.f64 y (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(/.f64 (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) (.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) x)))
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(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
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(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(.f64 #s(literal -1/5040 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal -1/5040 binary64)) y)
(+.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
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(fma.f64 y #s(literal 1/120 binary64) (.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(fma.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) y (.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(fma.f64 #s(literal -1/5040 binary64) (.f64 y (.f64 y y)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) y (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y (.f64 y y)) #s(literal -1/5040 binary64) (*.f64 y #s(literal 1/120 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 #s(literal 1/5040 binary64) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (+.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) (.f64 y (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)))))))
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(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
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(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))))) (+.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 #s(literal 1/5040 binary64) (.f64 y (.f64 y y)))))
(/.f64 (.f64 y (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (+.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (.f64 y (+.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/25401600 binary64) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (*.f64 y y))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (+.f64 (.f64 (.f64 y y) #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))))) (neg.f64 (+.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 #s(literal 1/5040 binary64) (.f64 y (.f64 y y))))))
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simplify266.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3830×	`-lowering-.f32`
3830×	`-lowering-.f64`
2026×	`+-lowering-+.f64`
2026×	`+-lowering-+.f32`
1962×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1733
1	314	1597
2	997	1560
3	3281	1540
4	7507	1540
0	8609	1540

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))
(* -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))))
(* 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))))
(* 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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (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) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
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)))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(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)
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* -1/5040 (pow y 2))
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))

Outputs
(* x (+ 1 (* -1/6 (pow y 2))))
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(* x (+ 1 (* -1/6 (pow y 2))))
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(* x (+ 1 (* -1/6 (pow y 2))))
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(* 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 x (.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))))
(* (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 x (.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))))
(* (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))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) 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 x (.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))))
(* (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 x (.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))))
(* (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 (+ 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))))
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(.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 y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 y (.f64 x (+.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 y (.f64 x (+.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 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(.f64 y (.f64 x (+.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 y (.f64 x (+.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 y (.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 y (.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 y (.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 y (.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 y (.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 y (.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 y (.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 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
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(* x (* y (+ 1 (* -1/6 (pow y 2)))))
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(.f64 y (.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 y (.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 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 x (+.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 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 x (+.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 (*.f64 y y) #s(literal -1/5040 binary64))))))))
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(.f64 x (+.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 (*.f64 y y) #s(literal -1/5040 binary64))))))))
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(.f64 x (+.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 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 x (+.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 (*.f64 y y) #s(literal -1/5040 binary64))))))))
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 y (*.f64 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 #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 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(* -1/5040 (* x (pow y 6)))
(.f64 x (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(.f64 (.f64 x (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y y))))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y y)))))))))
(* -1/5040 (* x (pow y 6)))
(.f64 x (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(.f64 (.f64 x (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y y))))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.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 y (.f64 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 (.f64 y y) #s(literal -1/5040 binary64)))))))
(* -1/5040 (pow y 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))))))
(* -1/5040 (pow y 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))))))
(* -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 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))
(* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))
(* -1/5040 (pow y 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))))
(* -1/5040 (pow y 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.f64 y y)))))))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (*.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)
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* -1/5040 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* -1/5040 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/5040 binary64))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))

eval150.0ms (1.6%)

Compiler: Compiled 26397 to 1677 computations (93.6% saved)

prune131.0ms (1.4%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	848	18	866
Fresh	3	1	4
Picked	0	5	5
Done	0	2	2
Total	851	26	877

Accuracy

99.9%

Counts

877 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) y)
	37.0%	(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (*.f64 x y)) y)
▶	46.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
✓	37.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y)) y)
	3.0%	(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (.f64 x y)) y)
▶	3.0%	(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) y)
✓	89.9%	(/.f64 (*.f64 x (sin.f64 y)) y)
	37.8%	(/.f64 (.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
▶	38.2%	(/.f64 (*.f64 x y) y)
	47.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	24.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))) (-.f64 x (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
	37.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (*.f64 x y))))
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (.f64 x y))))
	47.6%	(+.f64 (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) x)
	47.7%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
	37.7%	(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y))
	46.9%	(.f64 x (/.f64 (-.f64 (.f64 (/.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 #s(literal -1/6 binary64) (.f64 y y))))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))))
	46.8%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	47.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
✓	47.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
▶	47.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
✓	47.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	48.1%	x
✓	15.4%	#s(literal 0 binary64)

Compiler

Compiled 1081 to 524 computations (51.5% saved)

simplify215.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (*.f64 y y))))) x)
✓	cost-diff	128	(.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 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 y (.f64 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 y (*.f64 y #s(literal 1/120 binary64)))))))
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
✓	cost-diff	256	(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	256	(/.f64 (*.f64 x y) y)
✓	cost-diff	0	(+.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 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	cost-diff	256	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))

Rules

3698×	`-lowering-.f32`
3698×	`-lowering-.f64`
1690×	`+-lowering-+.f64`
1690×	`+-lowering-+.f32`
1452×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	256
1	101	241
2	331	220
3	1110	217
4	2577	217
5	4284	217
6	6473	217
0	8302	217

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ 1 (/ 1 (+ 1 (* -1/6 (* y y))))))
x
(/ 1 (/ 1 (+ 1 (* -1/6 (* y y)))))
1
(/ 1 (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
(* -1/6 (* y y))
-1/6
(* y y)
y
(/ (* x y) y)
(* x y)
x
y
(/ (* x (* -1/6 (* y (* y y)))) y)
(* x (* -1/6 (* y (* y y))))
x
(* -1/6 (* y (* y y)))
-1/6
(* y (* y y))
y
(* 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))
(* y 1/120)
1/120
(/ (* (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))
(* (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x)
(+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y)))))
1
(* (* y (* y y)) (* -1/216 (* y (* y y))))
(* y (* y y))
y
(* y y)
(* -1/216 (* y (* y y)))
-1/216
x
(+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))
(* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))
(* -1/6 (* y y))
-1/6
(+ (* -1/6 (* y y)) -1)
-1

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

localize190.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal -1/216 binary64) (.f64 y (*.f64 y y)))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	98.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (*.f64 y y))))) x)
✓	accuracy	57.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(*.f64 y #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))
✓	accuracy	97.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
✓	accuracy	93.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))
✓	accuracy	82.5%	(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	77.1%	(/.f64 (*.f64 x y) y)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	93.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))

Results

107.0ms

256×

valid

Compiler

Compiled 304 to 34 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 26.0ms (47.1% of total)

...c/correct-round.rkt:119:19: 11.0ms (19.9% of total)

ival-div: 10.0ms (18.1% of total)

ival-add: 7.0ms (12.7% of total)

const: 1.0ms (1.8% of total)

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

series28.0ms (0.3%)

Counts

22 → 360

Calls

Call 1

Inputs
#<alt (* x (/ 1 (/ 1 (+ 1 (* -1/6 (* y y))))))>
#<alt (/ 1 (/ 1 (+ 1 (* -1/6 (* y y)))))>
#<alt (/ 1 (+ 1 (* -1/6 (* y y))))>
#<alt (+ 1 (* -1/6 (* y y)))>
#<alt (/ (* x y) y)>
#<alt (* x y)>
#<alt (/ (* x (* -1/6 (* y (* y y)))) y)>
#<alt (* x (* -1/6 (* y (* y y))))>
#<alt (* -1/6 (* y (* y y)))>
#<alt (* y (* 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)>
#<alt (/ (* (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))>
#<alt (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))>
#<alt (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))>
#<alt (* (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x)>
#<alt (* -1/6 (* y y))>
#<alt (* y 1/120)>
#<alt (* y (* y 1/120))>
#<alt (* -1/216 (* y (* 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 (* -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 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))>
#<alt (/ -6 (pow y 2))>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))>
#<alt (/ -6 (pow y 2))>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (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 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 (* -1/6 (* 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 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<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 (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>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))>
#<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) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))>
#<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) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt x>
#<alt (+ x (* -1/216 (* x (pow y 6))))>
#<alt (+ x (* -1/216 (* x (pow y 6))))>
#<alt (+ x (* -1/216 (* x (pow y 6))))>
#<alt (* -1/216 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))>
#<alt (* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))>
#<alt (* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))>
#<alt (* -1/216 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))>
#<alt (* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))>
#<alt (* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 6))))>
#<alt (* x (+ 1 (* -1/216 (pow y 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 (* 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 (* 1/120 (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 (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>
#<alt (* -1/216 (pow y 3))>

Calls

90 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (* (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))
2.0ms	x	@	inf	(* x y)
2.0ms	y	@	0	(* y (* y 1/120))
1.0ms	x	@	0	(* x (* -1/6 (* y (* y y))))
1.0ms	x	@	inf	(/ (* (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))

rewrite496.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3174×	`-lowering-.f32`
3174×	`-lowering-.f64`
2640×	`/-lowering-/.f32`
2640×	`/-lowering-/.f64`
2338×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	171
1	199	155
2	1627	145
0	8717	145

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 907

Calls

Call 1

Inputs
(* x (/ 1 (/ 1 (+ 1 (* -1/6 (* y y))))))
(/ 1 (/ 1 (+ 1 (* -1/6 (* y y)))))
(/ 1 (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
(/ (* x y) y)
(* x y)
(/ (* x (* -1/6 (* y (* y y)))) y)
(* x (* -1/6 (* y (* y y))))
(* -1/6 (* y (* y y)))
(* y (* 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 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))
(+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))
(* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))
(* (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) x)
(* -1/6 (* y y))
(* y 1/120)
(* y (* y 1/120))
(* -1/216 (* y (* y y)))

Outputs
(+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x)
(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 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))) (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(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 binary64) x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(fma.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(fma.f64 y (/.f64 x y) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(fma.f64 y (/.f64 x y) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x x)
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(neg.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.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 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 #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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/10077696 binary64)))) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(/.f64 (.f64 x #s(literal -1 binary64)) (/.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 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 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 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/10077696 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
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(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(+.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))))
(+.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) x))
(+.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) x)
(+.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) x) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) x))
(fma.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) x))
(fma.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))
(fma.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x))
(fma.f64 y (/.f64 x y) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))))
(fma.f64 y (/.f64 x y) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) x))
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x))
(fma.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/10077696 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/10077696 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/10077696 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/10077696 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (.f64 x (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x)) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x) (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) x)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) x) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal -1/6 binary64) y))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) y) y)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) y)) y)
(*.f64 y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/120 binary64)) y)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 3 binary64))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/216 binary64)))
(.f64 (.f64 y y) (*.f64 y #s(literal -1/216 binary64)))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(.f64 #s(literal -1/216 binary64) (.f64 y (*.f64 y y)))
(.f64 (.f64 #s(literal -1/6 binary64) y) (.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 #s(literal -1/6 binary64) y)))
(.f64 (.f64 y #s(literal -1/216 binary64)) (*.f64 y y))
(.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) (.f64 #s(literal -1/6 binary64) y)) (*.f64 #s(literal -1/6 binary64) y))
(.f64 (.f64 #s(literal -1/216 binary64) (*.f64 y y)) y)
(.f64 (.f64 (*.f64 y #s(literal -1/216 binary64)) y) y)

simplify246.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
2132×	`fnmsub-define`
1944×	`sum3-define`
1194×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2791
1	456	2666
2	1498	2586
3	7056	2586
0	8769	2586

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))
(/ -6 (pow y 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))
(/ -6 (pow y 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (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))
x
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(* 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)
(* -1/6 (* 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 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* 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)))))
(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
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -6 x) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -6 x) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))
(* 1/36 (pow y 4))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/36 (pow y 4))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))
(* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))
(* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))
(* 1/36 (pow y 4))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* 1/36 (pow y 4))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
x
(+ x (* -1/216 (* x (pow y 6))))
(+ x (* -1/216 (* x (pow y 6))))
(+ x (* -1/216 (* x (pow y 6))))
(* -1/216 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(* -1/216 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 6))))
(* x (+ 1 (* -1/216 (pow y 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))
(* 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)
(* 1/120 (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))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))
(* -1/216 (pow y 3))

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 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.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 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 y (.f64 y (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 x (.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
#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) (+ 1/6 (* 1/36 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64))))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))
(+.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))
(* -1 (/ (+ 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))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (/.f64 #s(literal -216 binary64) (.f64 y y))) (.f64 y y))) (*.f64 y y))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -216 binary64) (/.f64 #s(literal -1296 binary64) (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y)))) (.f64 y y))
(/ -6 (pow y 2))
(/.f64 #s(literal -6 binary64) (*.f64 y y))
(* -1 (/ (+ 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))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (/.f64 #s(literal -216 binary64) (.f64 y y))) (.f64 y y))) (*.f64 y y))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -216 binary64) (/.f64 #s(literal -1296 binary64) (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y)))) (.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)))
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)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
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(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64))))))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64))))))))
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) (+ 1/6 (* 1/36 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64))))))
(* 1/36 (pow y 4))
(.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* 1/36 (pow y 4))
(.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64)))))
(* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64)))))
(* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y #s(literal 1/36 binary64)))))
(* 1/36 (pow y 4))
(.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* 1/36 (pow y 4))
(.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))
x
(+ x (* -1/216 (* x (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(+ x (* -1/216 (* x (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(+ x (* -1/216 (* x (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* -1/216 (* x (pow y 6)))
(.f64 #s(literal -1/216 binary64) (.f64 x (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal -1/216 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal -1/216 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal -1/216 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))
(* -1/216 (* x (pow y 6)))
(.f64 #s(literal -1/216 binary64) (.f64 x (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal -1/216 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal -1/216 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))
(* (pow y 6) (+ (* -1/216 x) (/ x (pow y 6))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal -1/216 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* x (+ 1 (* -1/216 (pow y 6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(* -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))
(* 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))
(* 1/120 (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)))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))
(* -1/216 (pow y 3))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))

eval237.0ms (2.6%)

Compiler: Compiled 41573 to 2802 computations (93.3% saved)

prune155.0ms (1.7%)

Pruning

37 alts after pruning (25 fresh and 12 done)

	Pruned	Kept	Total
New	1447	14	1461
Fresh	3	11	14
Picked	0	5	5
Done	0	7	7
Total	1450	37	1487

Accuracy

99.9%

Counts

1487 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(/.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) y)
▶	37.0%	(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (*.f64 x y)) y)
	46.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) (.f64 #s(literal -1/6 binary64) y)) (.f64 #s(literal -1/6 binary64) y)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
✓	46.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
✓	37.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y)) y)
✓	3.0%	(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) y)
✓	89.9%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	37.8%	(/.f64 (.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓	38.2%	(/.f64 (*.f64 x y) y)
	47.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	24.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))) (-.f64 x (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
	37.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (*.f64 x y))))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	47.6%	(+.f64 (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) x)
	47.7%	(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x)
▶	38.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
	37.7%	(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y))
	3.0%	(.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (.f64 y (.f64 y y)) y))
	3.0%	(.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y))
	3.7%	(.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
▶	45.2%	(*.f64 y (/.f64 x y))
	45.1%	(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)))
	46.9%	(.f64 x (/.f64 (-.f64 (.f64 (/.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 #s(literal -1/6 binary64) (.f64 y y))))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))))
	46.8%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	47.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
	46.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))))))
▶	60.0%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
✓	47.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
✓	47.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
✓	47.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
	46.7%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))))
	46.9%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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)))
	3.0%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
✓	48.1%	x
✓	15.4%	#s(literal 0 binary64)

Compiler

Compiled 1456 to 713 computations (51% saved)

simplify251.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (*.f64 x y))
✓	cost-diff	384	(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (*.f64 x y)) y)
✓	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 y)
✓	cost-diff	256	(/.f64 (.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	256	(*.f64 y (/.f64 x 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

3524×	`-lowering-.f32`
3524×	`-lowering-.f64`
2468×	`fma-define`
1744×	`fma-lowering-fma.f32`
1744×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	261
1	86	246
2	260	213
3	785	208
4	1753	208
5	3699	206
6	5473	206
7	7953	206
0	8233	206

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
(* y (/ x y))
y
(/ x y)
x
(* (/ 1 y) (* x y))
(/ 1 y)
1
y
(* x y)
x
(/ (* x y) (/ y (+ 1 (* -1/6 (* y y)))))
(* x y)
x
y
(/ y (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
1
(* -1/6 (* y y))
-1/6
(* y y)
(/ (* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y)) y)
(* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y))
(/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))
(+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y)))))
1
(* (* y (* y y)) (* -1/216 (* y (* y y))))
(* y (* y y))
y
(* y y)
(* -1/216 (* y (* y y)))
-1/216
(+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))
(* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))
(* -1/6 (* y y))
-1/6
(+ (* -1/6 (* y y)) -1)
-1
(* x y)
x

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

localize161.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	99.2%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (*.f64 x y))
✓	accuracy	81.1%	(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (*.f64 x y)) y)
✓	accuracy	56.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	90.0%	(/.f64 (.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓	accuracy	74.4%	(/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	76.8%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	75.6%	(*.f64 y (/.f64 x y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	accuracy	93.9%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

Results

102.0ms

256×

valid

Compiler

Compiled 307 to 32 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 28.0ms (47.7% of total)

ival-div: 12.0ms (20.4% of total)

...c/correct-round.rkt:119:19: 12.0ms (20.4% of total)

ival-add: 6.0ms (10.2% of total)

const: 1.0ms (1.7% of total)

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

series21.0ms (0.2%)

Counts

17 → 300

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 (* y (/ x y))>
#<alt (/ x y)>
#<alt (* (/ 1 y) (* x y))>
#<alt (/ 1 y)>
#<alt (* x y)>
#<alt (/ (* x y) (/ y (+ 1 (* -1/6 (* y y)))))>
#<alt (/ y (+ 1 (* -1/6 (* y y))))>
#<alt (+ 1 (* -1/6 (* y y)))>
#<alt (/ (* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y)) y)>
#<alt (* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y))>
#<alt (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))>
#<alt (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))>
#<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 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)>
#<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 (+ 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 y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))))>
#<alt (/ -6 y)>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))>
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) y)>
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) y)>
#<alt (/ -6 y)>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))>
#<alt (* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) y))>
#<alt (* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) y))>
#<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 (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))>
#<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) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))>
#<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) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x)))))>
#<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) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))>
#<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) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (+ (* 1/6 x) (* 6 (/ x (pow y 4))))))))>
#<alt (* -1 (* (pow y 3) (+ (* -6 (/ x (pow y 4))) (+ (* -6 (/ (+ (* -6 x) (* 6 x)) (pow y 6))) (+ (* -1 (/ x (pow y 2))) (+ (* 1/6 x) (* 6 (/ x (pow y 4)))))))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))>
#<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 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<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

75 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* x (/ 1 (+ 1 (* (* y y) 1/6))))
1.0ms	x	@	0	(* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y))
1.0ms	x	@	0	(* x (/ 1 (+ 1 (* (* y y) 1/6))))
0.0ms	x	@	-inf	(* x (/ 1 (+ 1 (* (* y y) 1/6))))
0.0ms	x	@	-inf	(* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y))

rewrite388.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2742×	`-lowering-.f32`
2742×	`-lowering-.f64`
2728×	`/-lowering-/.f32`
2728×	`/-lowering-/.f64`
1734×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	145
1	182	134
2	1541	98
0	9129	98

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1150

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)
(* y (/ x y))
(/ x y)
(* (/ 1 y) (* x y))
(/ 1 y)
(* x y)
(/ (* x y) (/ y (+ 1 (* -1/6 (* y y)))))
(/ y (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
(/ (* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y)) y)
(* (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))) (* x y))
(/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1))))
(+ 1 (* (* -1/6 (* y y)) (+ (* -1/6 (* y y)) -1)))
(* -1/6 (* y y))

Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(/.f64 (.f64 x #s(literal -1 binary64)) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) x)
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (/.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 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 #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 3 binary64)) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 y (.f64 y #s(literal 1/6 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 y (.f64 y #s(literal -1/6 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)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) y)

simplify243.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3132×	`+-lowering-+.f64`
3132×	`+-lowering-+.f32`
3022×	`-lowering-.f32`
3022×	`-lowering-.f64`
1138×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2442
1	676	2258
2	2486	2157
0	8726	2157

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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
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(/ 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)
x
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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)
(* 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 (* -1/6 (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))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))))
(/ -6 y)
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) y)
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) y)
(/ -6 y)
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) y))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) y))
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 (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -6 x) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -6 x) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (+ 1 (* -1/216 (pow y 6)))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x)))))
(* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* (pow y 2) (+ (* -1/36 x) (* 1/36 x)))) (+ (* -1/36 x) (* 1/36 x)))) (* 1/6 x)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (- (+ (* -1 (/ (+ (* -6 x) (* 6 x)) (pow y 4))) (* -1/6 x)) (* -1 (/ x (pow y 2)))))
(* (pow y 3) (- (+ (* -1/6 x) (* 6 (/ (+ (* -6 x) (* 6 x)) (pow y 6)))) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ x (pow y 4)))))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -6 (/ x (pow y 4))) (+ (* -1 (/ x (pow y 2))) (+ (* 1/6 x) (* 6 (/ x (pow y 4))))))))
(* -1 (* (pow y 3) (+ (* -6 (/ x (pow y 4))) (+ (* -6 (/ (+ (* -6 x) (* 6 x)) (pow y 6))) (+ (* -1 (/ x (pow y 2))) (+ (* 1/6 x) (* 6 (/ x (pow y 4)))))))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
(/ (* x (* y (+ 1 (* -1/216 (pow y 6))))) (+ 1 (* -1/6 (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))))
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 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))
(* 1/36 (pow y 4))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/36 (pow y 4))
(* (pow y 4) (+ 1/36 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/36 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* -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 (.f64 y y) (.f64 x (+.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 (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/216 binary64)))))) (.f64 x #s(literal -1/6 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 (.f64 x #s(literal 6 binary64)) (/.f64 (.f64 #s(literal -36 binary64) (/.f64 x 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 (/.f64 (.f64 #s(literal -36 binary64) (/.f64 x y)) y) (/.f64 (.f64 x #s(literal 216 binary64)) (.f64 (.f64 y y) (.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 (.f64 x #s(literal 6 binary64)) (.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 (.f64 #s(literal -36 binary64) (/.f64 x y)) y) (/.f64 (.f64 x #s(literal 216 binary64)) (.f64 (.f64 y 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 (.f64 x #s(literal 6 binary64)) (/.f64 (.f64 #s(literal -36 binary64) (/.f64 x 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 (/.f64 (.f64 #s(literal -36 binary64) (/.f64 x y)) y) (/.f64 (.f64 x #s(literal 216 binary64)) (.f64 (.f64 y y) (.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 (.f64 x #s(literal 6 binary64)) (.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 (.f64 #s(literal -36 binary64) (/.f64 x y)) y) (/.f64 (.f64 x #s(literal 216 binary64)) (.f64 (.f64 y 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 (.f64 y 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 y (.f64 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 (.f64 y 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 (.f64 y 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 (.f64 y 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 (.f64 y 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))
(.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))
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)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
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)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
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 (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(+ x (* -1/6 (* x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
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) (+ 1/6 (* 1/36 (pow y 2))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/36 binary64) (.f64 y (*.f64 y #s(literal 1/216 binary64)))))))))
(/ -6 y)
(/.f64 #s(literal -6 binary64) y)
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) y)
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) y)
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (/.f64 #s(literal -216 binary64) (.f64 y y))) (.f64 y y))) y)
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -216 binary64) (/.f64 #s(literal -1296 binary64) (.f64 y y))) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) y)
(/ -6 y)
(/.f64 #s(literal -6 binary64) y)
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) y))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) y)
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) y))
(/.f64 (+.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))) (/.f64 #s(literal -216 binary64) (.f64 (.f64 y y) (.f64 y y)))) y)
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) y))
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (+.f64 (/.f64 #s(literal -36 binary64) (.f64 y y)) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -216 binary64) (.f64 (.f64 y y) (.f64 y y))))) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
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(.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))

eval245.0ms (2.7%)

Compiler: Compiled 46610 to 2808 computations (94% saved)

prune208.0ms (2.3%)

Pruning

41 alts after pruning (30 fresh and 11 done)

	Pruned	Kept	Total
New	1524	24	1548
Fresh	14	6	20
Picked	3	2	5
Done	3	9	12
Total	1544	41	1585

Accuracy

99.9%

Counts

1585 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.3%	(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
	60.0%	(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))
	14.2%	(/.f64 (+.f64 (.f64 x #s(literal 6 binary64)) (/.f64 (.f64 #s(literal -36 binary64) (/.f64 x y)) y)) (*.f64 y y))
✓	37.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 x y)) y)
✓	89.9%	(/.f64 (*.f64 x (sin.f64 y)) y)
	49.7%	(/.f64 (.f64 x y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
✓	38.2%	(/.f64 (*.f64 x y) y)
	60.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	60.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	24.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))))))) (-.f64 x (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
	59.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) x))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	47.7%	(+.f64 (.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) x)
	47.6%	(+.f64 (.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))) x)
	48.1%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	48.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
	37.7%	(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y))
	3.0%	(.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y))
✓	45.2%	(*.f64 y (/.f64 x y))
	50.2%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	16.2%	(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
	50.3%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	50.6%	(.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))))))
	60.0%	(.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	60.0%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓	60.0%	(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
	46.5%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (.f64 (.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 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))))))))
	46.5%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))))))
	47.3%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (+.f64 (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))))
✓	47.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
✓	47.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
✓	47.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
	47.6%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))))
	48.1%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
	3.0%	(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
	47.9%	(.f64 x (.f64 y (/.f64 #s(literal 1 binary64) y)))
	3.0%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
✓	48.1%	x
✓	15.4%	#s(literal 0 binary64)

Compiler

Compiled 2382 to 733 computations (69.2% saved)

regimes92.0ms (1%)

Counts

67 → 1

Calls

Call 1

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

21.0ms	y
20.0ms	x
19.0ms	(/.f64 (sin.f64 y) y)
19.0ms	(*.f64 x (/.f64 (sin.f64 y) 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)

regimes60.0ms (0.7%)

Counts

65 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	y
27.0ms	x

Results

Accuracy	Segments	Branch
60.0%	1	`x`
60.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
60.2%	2	`y`
59.0%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
59.7%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.7%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

Outputs
x
#s(literal 0 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.3%)

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:

29.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
15.4%	1	`x`
15.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.403131263714009e+23	4.3633285135098283e+24

Results

10.0ms

112×

valid

Compiler

Compiled 167 to 121 computations (27.5% saved)

Precisions

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

ival-sin: 5.0ms (77.6% of total)

ival-div: 1.0ms (15.5% of total)

ival-mult: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.214829938981572	15.865470157220745

Results

12.0ms

96×

valid

Compiler

Compiled 97 to 69 computations (28.9% saved)

Precisions

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

ival-sin: 8.0ms (86.5% of total)

ival-div: 1.0ms (10.8% of total)

ival-mult: 1.0ms (10.8% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.214829938981572	15.865470157220745

Results

8.0ms

96×

valid

Compiler

Compiled 97 to 69 computations (28.9% saved)

Precisions

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

ival-sin: 3.0ms (61.6% of total)

ival-div: 1.0ms (20.5% of total)

ival-mult: 1.0ms (20.5% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.6675267218932334e+42	1.0434564724109356e+44

Results

9.0ms

112×

valid

Compiler

Compiled 69 to 58 computations (15.9% saved)

Precisions

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

ival-sin: 4.0ms (66.4% of total)

ival-div: 1.0ms (16.6% of total)

ival-mult: 1.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	66
1	44	66

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 1/6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 1200000000000000033554432 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 (/.f64 (.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) x (/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) 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 2700000000000000074768672757603215012265984 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 1/6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 1200000000000000033554432 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 (/.f64 (.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) x (/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) 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 2700000000000000074768672757603215012265984 binary64)) x #s(literal 0 binary64))
#s(literal 0 binary64)

soundness3.2s (34.3%)

Rules

4042×	`-lowering-.f32`
4042×	`-lowering-.f64`
3132×	`+-lowering-+.f64`
3132×	`+-lowering-+.f32`
3124×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	152	2791
1	456	2666
2	1498	2586
3	7056	2586
0	8769	2586
0	7	30
1	22	30
2	101	30
3	489	30
4	2919	5
0	10726	5
0	22	118
1	129	105
2	1129	105
0	8388	105
0	47	605
1	149	588
2	461	570
3	1509	562
4	2322	562
5	3926	562
6	5825	562
7	6331	562
8	7474	562
0	8120	562
0	206	2442
1	676	2258
2	2486	2157
0	8726	2157

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 282 to 181 computations (35.8% saved)

preprocess52.0ms (0.6%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 216 to 116 computations (46.3% saved)

analyze16.0ms (0.2%)

sample820.0ms (8.9%)

preprocess62.0ms (0.7%)

explain66.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize44.0ms (0.5%)

series9.0ms (0.1%)

rewrite82.0ms (0.9%)

simplify205.0ms (2.2%)

eval9.0ms (0.1%)

prune11.0ms (0.1%)

simplify165.0ms (1.8%)

localize133.0ms (1.4%)

series17.0ms (0.2%)

rewrite419.0ms (4.6%)

simplify266.0ms (2.9%)

eval150.0ms (1.6%)

prune131.0ms (1.4%)

simplify215.0ms (2.3%)

localize190.0ms (2.1%)

series28.0ms (0.3%)

rewrite496.0ms (5.4%)

simplify246.0ms (2.7%)

eval237.0ms (2.6%)

prune155.0ms (1.7%)

simplify251.0ms (2.7%)

localize161.0ms (1.8%)

series21.0ms (0.2%)

rewrite388.0ms (4.2%)

simplify243.0ms (2.7%)

eval245.0ms (2.7%)

prune208.0ms (2.3%)

regimes92.0ms (1%)

regimes60.0ms (0.7%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes31.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch14.0ms (0.1%)

simplify9.0ms (0.1%)

soundness3.2s (34.3%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling