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

analyze40.0ms (0.4%)

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: 28.0ms

ival-div: 23.0ms (82.6% of total)

ival-sin: 3.0ms (10.8% of total)

ival-mult: 2.0ms (7.2% of total)

const: 0.0ms (0% of total)

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

sample1.1s (10.1%)

Results

863.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 532.0ms

ival-sin: 378.0ms (71.1% of total)

ival-div: 78.0ms (14.7% of total)

ival-mult: 65.0ms (12.2% of total)

const: 8.0ms (1.5% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess66.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs y)

(negabs x)

explain76.0ms (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

53.0ms

512×

valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 14.0ms (55.7% of total)

ival-div: 6.0ms (23.9% of total)

ival-mult: 4.0ms (15.9% of total)

const: 1.0ms (4% 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
▶	88.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize47.0ms (0.4%)

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	88.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	accuracy	99.7%	(/.f64 (sin.f64 y) y)

Results

37.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

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

ival-sin: 7.0ms (47.1% of total)

ival-div: 4.0ms (26.9% of total)

ival-mult: 3.0ms (20.2% of total)

const: 0.0ms (0% of total)

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

series7.0ms (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	(* 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))
0.0ms	x	@	inf	(* x (/ (sin y) y))

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

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

simplify189.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval11.0ms (0.1%)

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

prune10.0ms (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
	40.3%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
	40.1%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
✓	88.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
	40.8%	(/.f64 (*.f64 x y) y)
	51.5%	(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	51.5%	(.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))
▶	51.4%	(.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))))))
▶	51.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
▶	52.0%	x
▶	18.2%	#s(literal 0 binary64)

Compiler

Compiled 262 to 170 computations (35.1% saved)

simplify213.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

3416×	`fma-define`
2880×	`fma-lowering-fma.f32`
2880×	`fma-lowering-fma.f64`
2606×	`sum3-define`
1318×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	165
1	82	145
2	296	145
3	951	145
4	2422	145
5	2998	145
6	3362	145
7	4035	145
8	5134	145
9	6083	145
10	6458	145
11	6534	145
12	6540	145
13	6540	145
14	6540	145
15	6687	145
16	6687	145
17	7670	145
18	7670	145
0	7670	145

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize134.0ms (1.2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/5040 binary64)))
✓	accuracy	97.7%	(.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))
✓	accuracy	96.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	93.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))

Results

96.0ms

256×

valid

Compiler

Compiled 197 to 25 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.9% of total)

...c/correct-round.rkt:119:19: 11.0ms (29.9% of total)

ival-add: 7.0ms (19% of total)

const: 1.0ms (2.7% of total)

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

series34.0ms (0.3%)

Counts

14 → 204

Calls

Call 1

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

Calls

51 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(* x (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))
2.0ms	y	@	0	(* x (+ 1 (* -1/6 (* y y))))
1.0ms	x	@	0	(* x (+ 1 (* (* y y) (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))))
1.0ms	x	@	0	(* x (+ 1 (* -1/6 (* y y))))
1.0ms	y	@	inf	(* x (+ 1 (* -1/6 (* y y))))

rewrite407.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4220×	`-lowering-.f32`
4220×	`-lowering-.f64`
2898×	`/-lowering-/.f32`
2898×	`/-lowering-/.f64`
2620×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	124
1	155	107
2	1499	107
0	8817	107

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 427

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64))) (-.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x)
(fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x x)
(fma.f64 (.f64 #s(literal -1/6 binary64) y) (.f64 y x) x)
(fma.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x)
(fma.f64 (.f64 x (.f64 #s(literal -1/6 binary64) y)) y x)
(/.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 x (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)))) (-.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64))))
(/.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 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y 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 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (neg.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))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64))))) (neg.f64 (-.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)))))
(/.f64 (neg.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))))))) (neg.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 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (neg.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)) (neg.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 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
(+.f64 #s(literal 1 binary64) (.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 #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))) (+.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))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 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 #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 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y 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 #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))))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.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 1/6 binary64) (.f64 y y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) (neg.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 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (neg.f64 (+.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)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.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)))) (+.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) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (-.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 #s(literal 1/6 binary64) (.f64 y y)))) (.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
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(-.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))
(fma.f64 y (.f64 y #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 y (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 y (.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y)) (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 (.f64 y y) #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64))) (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/120 binary64) (.f64 y y) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y (.f64 y y)) (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 (.f64 y #s(literal 1/120 binary64)) y (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal -1/5040 binary64)) (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/5040 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 (.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) y) y (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(fma.f64 (.f64 (.f64 y y) (.f64 y #s(literal -1/5040 binary64))) y (.f64 y (*.f64 y #s(literal 1/120 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))
(/.f64 (.f64 (.f64 y 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 y (.f64 y #s(literal -1/5040 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
(/.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)))) (.f64 y y)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64))) (.f64 y y)) (-.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))
(/.f64 (neg.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)))) (.f64 y y))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64))) (.f64 y y))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y y))
(.f64 (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) y)

simplify265.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3900×	`-lowering-.f32`
3900×	`-lowering-.f64`
2656×	`+-lowering-+.f64`
2656×	`+-lowering-+.f32`
1418×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1919
1	291	1570
2	858	1554
3	2549	1506
4	4754	1506
0	8972	1506

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval93.0ms (0.9%)

Compiler: Compiled 21300 to 1722 computations (91.9% saved)

prune68.0ms (0.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	695	8	703
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	697	17	714

Accuracy

99.9%

Counts

714 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.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 #s(literal 1/6 binary64) (*.f64 y y))))
	40.3%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
▶	40.1%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
✓	88.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	40.8%	(/.f64 (*.f64 x y) y)
	28.8%	(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))) (/.f64 (.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))))
	51.3%	(+.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)) x)
▶	51.5%	(+.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))) x)
	50.5%	(.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 #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))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	50.8%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (*.f64 y y)))))))
✓	51.5%	(.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))
✓	51.4%	(.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))))))
▶	51.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
	2.9%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	52.0%	x
✓	18.2%	#s(literal 0 binary64)

Compiler

Compiled 600 to 289 computations (51.8% saved)

simplify214.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (*.f64 y y)))) x)
✓	cost-diff	0	(/.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 #s(literal 1/6 binary64) (*.f64 y y))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
✓	cost-diff	0	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	cost-diff	256	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) y)
✓	cost-diff	0	(.f64 (.f64 #s(literal -1/6 binary64) y) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) y) y))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	256	(/.f64 (*.f64 x y) y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))) x)

Rules

2906×	`-lowering-.f32`
2906×	`-lowering-.f64`
2320×	`+-lowering-+.f64`
2320×	`+-lowering-+.f32`
1994×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	217
1	115	199
2	356	194
3	1326	194
4	3942	194
5	6587	194
0	8024	194

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x (* (* y y) (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))) x)
(* x (* (* y y) (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040)))))))
x
(* (* 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))))
(+ 1/120 (* y (* y -1/5040)))
1/120
(* y (* y -1/5040))
(* y -1/5040)
-1/5040
(/ (* x y) y)
(* x y)
x
y
(* x (+ 1 (* (* -1/6 y) y)))
x
(+ 1 (* (* -1/6 y) y))
1
(* (* -1/6 y) y)
(* -1/6 y)
-1/6
y
(/ (* x (* y (+ 1 (* -1/6 (* y y))))) y)
(* x (* y (+ 1 (* -1/6 (* y y)))))
x
(* y (+ 1 (* -1/6 (* y y))))
y
(+ 1 (* -1/6 (* y y)))
1
(* -1/6 (* y y))
-1/6
(* y y)
(/ (* (- 1 (* 1/36 (* (* y y) (* y y)))) x) (+ 1 (* 1/6 (* y y))))
(* (- 1 (* 1/36 (* (* y y) (* y y)))) x)
(- 1 (* 1/36 (* (* y y) (* y y))))
1
(* 1/36 (* (* y y) (* y y)))
1/36
(* (* y y) (* y y))
(* y y)
y
x
(+ 1 (* 1/6 (* y y)))
(* 1/6 (* y y))
1/6

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

localize192.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 y y))
✓	accuracy	96.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (*.f64 y y)))) x)
✓	accuracy	71.1%	(/.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 #s(literal 1/6 binary64) (*.f64 y y))))
✓	accuracy	99.9%	(.f64 y (+.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	96.6%	(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	accuracy	78.4%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) y) y))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -1/6 binary64) y) y)
✓	accuracy	99.5%	(*.f64 #s(literal -1/6 binary64) y)
✓	accuracy	93.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	80.7%	(/.f64 (*.f64 x y) y)
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/5040 binary64)))
✓	accuracy	91.7%	(.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))))

Results

141.0ms

256×

valid

Compiler

Compiled 278 to 36 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 30.0ms (47.9% of total)

...c/correct-round.rkt:119:19: 16.0ms (25.5% of total)

ival-div: 7.0ms (11.2% of total)

ival-add: 7.0ms (11.2% of total)

ival-sub: 1.0ms (1.6% of total)

const: 0.0ms (0% of total)

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

series25.0ms (0.2%)

Counts

22 → 372

Calls

Call 1

Inputs
#<alt (+ (* x (* (* y y) (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))) x)>
#<alt (* x (* (* 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 (/ (* x y) y)>
#<alt (* x y)>
#<alt (* x (+ 1 (* (* -1/6 y) y)))>
#<alt (+ 1 (* (* -1/6 y) y))>
#<alt (* (* -1/6 y) y)>
#<alt (* -1/6 y)>
#<alt (/ (* x (* y (+ 1 (* -1/6 (* y y))))) y)>
#<alt (* x (* y (+ 1 (* -1/6 (* y y)))))>
#<alt (* y (+ 1 (* -1/6 (* y y))))>
#<alt (+ 1 (* -1/6 (* y y)))>
#<alt (/ (* (- 1 (* 1/36 (* (* y y) (* y y)))) x) (+ 1 (* 1/6 (* y y))))>
#<alt (* (- 1 (* 1/36 (* (* y y) (* y y)))) x)>
#<alt (- 1 (* 1/36 (* (* y y) (* y y))))>
#<alt (* 1/36 (* (* y y) (* y y)))>
#<alt (* y (* y -1/5040))>
#<alt (* (* y y) (+ 1/120 (* y (* y -1/5040))))>
#<alt (* -1/6 (* y y))>
#<alt (* 1/6 (* y y))>

Outputs
#<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 (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<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 (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))>
#<alt (* (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))))))>
#<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))))))>
#<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 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 (+ 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 (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/36 (* x (pow y 4))))>
#<alt (+ x (* -1/36 (* x (pow y 4))))>
#<alt (+ x (* -1/36 (* x (pow y 4))))>
#<alt (* -1/36 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))>
#<alt (* -1/36 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))>
#<alt (* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt (* x (- 1 (* 1/36 (pow y 4))))>
#<alt 1>
#<alt (+ 1 (* -1/36 (pow y 4)))>
#<alt (+ 1 (* -1/36 (pow y 4)))>
#<alt (+ 1 (* -1/36 (pow y 4)))>
#<alt (* -1/36 (pow y 4))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* -1/36 (pow y 4))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) 1/36))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* 1/36 (pow y 4))>
#<alt (* -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 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<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 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>

Calls

93 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ (* (- 1 (* 1/36 (* (* y y) (* y y)))) x) (+ 1 (* 1/6 (* y y))))
3.0ms	x	@	0	(+ (* x (* (* y y) (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))) x)
2.0ms	x	@	0	(/ (* (- 1 (* 1/36 (* (* y y) (* y y)))) x) (+ 1 (* 1/6 (* y y))))
1.0ms	x	@	inf	(/ (* (- 1 (* 1/36 (* (* y y) (* y y)))) x) (+ 1 (* 1/6 (* y y))))
1.0ms	y	@	0	(/ (* (- 1 (* 1/36 (* (* y y) (* y y)))) x) (+ 1 (* 1/6 (* y y))))

rewrite375.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3460×	`-lowering-.f32`
3460×	`-lowering-.f64`
2920×	`/-lowering-/.f32`
2920×	`/-lowering-/.f64`
1984×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	160
1	222	142
2	1773	138
0	8593	138

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 975

Calls

Call 1

Inputs
(+ (* x (* (* y y) (+ -1/6 (* (* y y) (+ 1/120 (* y (* y -1/5040))))))) x)
(* x (* (* 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)
(/ (* x y) y)
(* x y)
(* x (+ 1 (* (* -1/6 y) y)))
(+ 1 (* (* -1/6 y) y))
(* (* -1/6 y) y)
(* -1/6 y)
(/ (* x (* y (+ 1 (* -1/6 (* y y))))) y)
(* x (* y (+ 1 (* -1/6 (* y y)))))
(* y (+ 1 (* -1/6 (* y y))))
(+ 1 (* -1/6 (* y y)))
(/ (* (- 1 (* 1/36 (* (* y y) (* y y)))) x) (+ 1 (* 1/6 (* y y))))
(* (- 1 (* 1/36 (* (* y y) (* y y)))) x)
(- 1 (* 1/36 (* (* y y) (* y y))))
(* 1/36 (* (* y y) (* y y)))
(* y (* y -1/5040))
(* (* y y) (+ 1/120 (* y (* y -1/5040))))
(* -1/6 (* y y))
(* 1/6 (* y y))

Outputs
(+.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(+.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))) x)
(-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) (.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) (.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))) (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))))
(fma.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(fma.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))
(fma.f64 y (.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) x) x)
(fma.f64 y (/.f64 x y) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(fma.f64 (.f64 y y) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) x) x)
(fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 x (.f64 y y)) x)
(fma.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) x x)
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))
(fma.f64 (.f64 x y) (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))
(fma.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) x)
(fma.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 y y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (*.f64 x x)))))
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(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/25401600 binary64))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/128024064000 binary64))) (.f64 y y))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/25401600 binary64))) (.f64 y y))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/128024064000 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (+.f64 (.f64 (.f64 y (.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y))) (.f64 y (.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y)))) (-.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 y (.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y))) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y y))
(.f64 (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))) y)
(.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 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) y)
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 (.f64 y (*.f64 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 #s(literal 1/6 binary64))) y)

simplify254.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
2480×	`+-lowering-+.f64`
2480×	`+-lowering-+.f32`
1842×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	3024
1	355	2516
2	1083	2468
3	3594	2452
0	8295	2452

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* 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))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
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))))))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 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))))))
(* -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))))))
(* -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)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 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 (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
x
(+ x (* -1/36 (* x (pow y 4))))
(+ x (* -1/36 (* x (pow y 4))))
(+ x (* -1/36 (* x (pow y 4))))
(* -1/36 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))
(* -1/36 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))
(* (pow y 4) (+ (* -1/36 x) (/ x (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
(* x (- 1 (* 1/36 (pow y 4))))
1
(+ 1 (* -1/36 (pow y 4)))
(+ 1 (* -1/36 (pow y 4)))
(+ 1 (* -1/36 (pow y 4)))
(* -1/36 (pow y 4))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* -1/36 (pow y 4))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* 1/36 (pow y 4))
(* -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 (pow y 2))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -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 (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 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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(* x (- 1 (* 1/36 (pow y 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/36 binary64))))
(* x (- 1 (* 1/36 (pow y 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/36 binary64))))
(* x (- 1 (* 1/36 (pow y 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/36 binary64))))
(* x (- 1 (* 1/36 (pow y 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/36 binary64))))
(* x (- 1 (* 1/36 (pow y 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/36 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/36 (pow y 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(+ 1 (* -1/36 (pow y 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(+ 1 (* -1/36 (pow y 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(* -1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(* -1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(* (pow y 4) (- (/ 1 (pow y 4)) 1/36))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64)))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* -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 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(* -1/5040 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* -1/5040 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))

eval220.0ms (2%)

Compiler: Compiled 38219 to 2765 computations (92.8% saved)

prune187.0ms (1.7%)

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	1431	21	1452
Fresh	3	3	6
Picked	2	3	5
Done	0	6	6
Total	1436	33	1469

Accuracy

99.9%

Counts

1469 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1/46656 binary64))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	18.3%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x)) (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x))) (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) x)) x))))
	50.5%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
	50.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y #s(literal 1/6 binary64))) y)) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	40.1%	(/.f64 (.f64 x (+.f64 (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64))) y)) y)
	39.6%	(/.f64 (.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))) y)
	40.3%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
	2.9%	(/.f64 (.f64 x (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))) y)
✓	88.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	40.8%	(/.f64 (*.f64 x y) y)
▶	66.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	51.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))) #s(literal 1 binary64)) x)))
	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	28.3%	(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)))
	51.3%	(+.f64 (.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) x)) x)
✓	51.5%	(+.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))) x)
▶	39.5%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) y) (/.f64 y #s(literal 1 binary64)))
▶	40.7%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
	41.1%	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 x y))
	40.0%	(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) y))
▶	53.4%	(*.f64 y (/.f64 x y))
	53.2%	(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)))
	50.8%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))
▶	50.5%	(.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 #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))))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	51.5%	(.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))
✓	51.4%	(.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))))))
✓	51.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
	2.9%	(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
	2.9%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
	2.9%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
✓	52.0%	x
✓	18.2%	#s(literal 0 binary64)

Compiler

Compiled 1235 to 619 computations (49.9% saved)

simplify218.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3612×	`-lowering-.f32`
3612×	`-lowering-.f64`
1788×	`+-lowering-+.f64`
1788×	`+-lowering-+.f32`
1606×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	207
1	94	195
2	247	171
3	647	167
4	1535	161
5	3157	161
6	4788	161
7	6459	161
0	8240	161

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize207.0ms (1.9%)

Localize:

Found 17 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	93.4%	(.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 #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	61.4%	(/.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	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	93.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	88.2%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) y) (/.f64 y #s(literal 1 binary64)))
✓	accuracy	86.4%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	80.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	74.5%	(*.f64 y (/.f64 x y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 y y))
✓	accuracy	96.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))

Results

159.0ms

256×

valid

Compiler

Compiled 266 to 33 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 40.0ms (59% of total)

...c/correct-round.rkt:119:19: 11.0ms (16.2% of total)

ival-div: 10.0ms (14.7% of total)

ival-add: 5.0ms (7.4% of total)

ival-sub: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Counts

20 → 348

Calls

Call 1

Inputs
#<alt (/ x (+ 1 (* 1/6 (* y y))))>
#<alt (+ 1 (* 1/6 (* y y)))>
#<alt (* 1/6 (* y y))>
#<alt (* y y)>
#<alt (* y (/ x y))>
#<alt (/ x y)>
#<alt (* (/ 1 y) (* x y))>
#<alt (/ 1 y)>
#<alt (* x y)>
#<alt (* (/ (* x (+ 1 (* y (* y -1/6)))) y) (/ y 1))>
#<alt (/ (* x (+ 1 (* y (* y -1/6)))) y)>
#<alt (/ y 1)>
#<alt (* x (+ 1 (* y (* y -1/6))))>
#<alt (* x (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (- (* -1/6 (* y y)) 1)))))>
#<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)) (- (* -1/6 (* y y)) 1))>
#<alt (* y -1/6)>
#<alt (* -1/6 (* y y))>
#<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 (* (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 (* 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 (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>
#<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 (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) y)>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)>
#<alt (* -1/6 (* x y))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* y (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* y (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt 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 (/ (* 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>
#<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 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 (* (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 (* -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 (* -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 (* -1/216 (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

87 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(* x (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (- (* -1/6 (* y y)) 1)))))
1.0ms	x	@	inf	(* x (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (- (* -1/6 (* y y)) 1)))))
1.0ms	y	@	inf	(/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (- (* -1/6 (* y y)) 1))))
1.0ms	y	@	inf	(* x (/ (+ 1 (* (* y (* y y)) (* -1/216 (* y (* y y))))) (+ 1 (* (* -1/6 (* y y)) (- (* -1/6 (* y y)) 1)))))
1.0ms	y	@	inf	(/ (* x (+ 1 (* y (* y -1/6)))) y)

rewrite421.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3072×	`/-lowering-/.f32`
3072×	`/-lowering-/.f64`
2920×	`-lowering-.f32`
2920×	`-lowering-.f64`
1778×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	125
1	186	117
2	1562	96
0	8806	96

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1554

Calls

Call 1

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

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

simplify193.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3066×	`-lowering-.f32`
3066×	`-lowering-.f64`
1994×	`sum3-define`
910×	`+-lowering-+.f64`
910×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	2203
1	405	1848
2	1341	1810
3	6297	1789
0	8214	1789

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

eval630.0ms (5.8%)

Compiler: Compiled 57738 to 4738 computations (91.8% saved)

prune321.0ms (2.9%)

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	2154	27	2181
Fresh	11	8	19
Picked	4	1	5
Done	1	8	9
Total	2170	44	2214

Accuracy

99.9%

Counts

2214 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.2%	(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
	53.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	40.1%	(/.f64 (.f64 x (+.f64 (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64))) y)) y)
	40.3%	(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
✓	88.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	40.8%	(/.f64 (*.f64 x y) y)
	40.7%	(/.f64 y (/.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
	55.4%	(/.f64 y (/.f64 y x))
	50.8%	(/.f64 x (/.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 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
	54.9%	(/.f64 x (/.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64))))
	51.2%	(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))))
	51.2%	(/.f64 x (/.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 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
	54.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)))))
	50.4%	(/.f64 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 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (-.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 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))))))
	54.9%	(/.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 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))) #s(literal -1 binary64)))))
	66.1%	(/.f64 x (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)))
	66.6%	(/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
	66.1%	(/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	66.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))))
	66.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/6 binary64) y)))))
	66.6%	(/.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))))))
	50.5%	(/.f64 x (.f64 (/.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 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
	50.3%	(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (+.f64 (.f64 (.f64 y (.f64 y 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 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)))))))
	19.2%	(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) x))
	51.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))) #s(literal 1 binary64)) x)))
	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	28.3%	(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)))
	51.3%	(+.f64 (.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) x)) x)
✓	51.5%	(+.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))) x)
	40.0%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) y) (.f64 x y))
	55.4%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
	51.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y 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 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)))))))
	66.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
	39.5%	(.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y #s(literal -1/6 binary64)))) (/.f64 y #s(literal 1 binary64)))
✓	53.4%	(*.f64 y (/.f64 x y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	51.5%	(.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))
✓	51.4%	(.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))))))
	2.9%	(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
	2.9%	(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
	2.9%	(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)))
✓	52.0%	x
✓	18.2%	#s(literal 0 binary64)

Compiler

Compiled 2271 to 749 computations (67% saved)

regimes123.0ms (1.1%)

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 y (/.f64 y 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 y #s(literal -1/6 binary64))))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(+.f64 (.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) x)) x)
(+.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)) 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 #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 (.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 #s(literal -1/6 binary64))))) x)
(/.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 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 x (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))) y)
(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) y))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 x y))
(.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y #s(literal -1/6 binary64)))) (/.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) y) (.f64 x y))
(/.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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 y (/.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
(/.f64 (.f64 x (+.f64 (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64))) y)) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) y) (/.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #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 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(+.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))) x)
(/.f64 x (/.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 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 #s(literal 1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (-.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 (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y #s(literal 1/6 binary64))) y)) x) (+.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 (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))) #s(literal 1 binary64)) x)))
(/.f64 (.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))) y)
(/.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 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))) #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 #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 (.f64 y (.f64 y 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 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 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))))
(/.f64 x (/.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 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y 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 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (+.f64 (.f64 (.f64 y (.f64 y 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 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x)) (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x))) (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) x)) x))))
(/.f64 x (.f64 (/.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 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1/46656 binary64))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))))) (+.f64 #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 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (-.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 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))) (/.f64 (.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)))
(*.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:

56.0ms	x
19.0ms	y
18.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
17.0ms	(/.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)

regimes45.0ms (0.4%)

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 y (/.f64 y 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 y #s(literal -1/6 binary64))))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(+.f64 (.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) x)) x)
(+.f64 (.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64)) 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 #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 (.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 #s(literal -1/6 binary64))))) x)
(/.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 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 x (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))) y)
(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) y))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 x y))
(.f64 (+.f64 (/.f64 x y) (.f64 x (*.f64 y #s(literal -1/6 binary64)))) (/.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) y) (.f64 x y))
(/.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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 y (/.f64 y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
(/.f64 (.f64 x (+.f64 (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64))) y)) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) y) (/.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #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 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 x (.f64 (.f64 y y) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(+.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))) x)
(/.f64 x (/.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 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 #s(literal 1/6 binary64) (*.f64 y y))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (-.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 (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 y #s(literal 1/6 binary64))) y)) x) (+.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 (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))))) #s(literal 1 binary64)) x)))
(/.f64 (.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))))) y)
(/.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 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))) #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 #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 (.f64 y (.f64 y 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 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 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)))))
(/.f64 x (/.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 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y 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 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 y (.f64 y y))))) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (+.f64 (.f64 (.f64 y (.f64 y 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 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x)) (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x))) (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) x)) x))))
(/.f64 x (.f64 (/.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 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 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 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1/46656 binary64))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))))) (+.f64 #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 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (-.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 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))) (/.f64 (.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (-.f64 x (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))) (.f64 x x))) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x)))

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

Calls

2 calls:

21.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
66.6%	1	`y`
66.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

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

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

Calls

2 calls:

6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
66.7%	2	`y`
65.8%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.7%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

15 → 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 y (/.f64 y 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 y #s(literal -1/6 binary64))))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
66.2%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

12 → 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 y (/.f64 y 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 y #s(literal -1/6 binary64))))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))

Outputs
x
#s(literal 0 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.1%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
18.2%	1	`x`
18.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	305938.79623467947	329449.0127653987

Results

1.0ms

16×

valid

Compiler

Compiled 35 to 24 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sin: 1.0ms (123.9% of total)

ival-div: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	305938.79623467947	329449.0127653987

Results

5.0ms

16×

valid

Compiler

Compiled 35 to 25 computations (28.6% saved)

Precisions

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

ival-div: 4.0ms (81.2% of total)

ival-sin: 1.0ms (20.3% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.2580441078798468	37.991636035791664

Results

13.0ms

112×

valid

Compiler

Compiled 111 to 79 computations (28.8% saved)

Precisions

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

ival-div: 5.0ms (52.2% of total)

ival-sin: 4.0ms (41.7% of total)

ival-mult: 1.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.4572419959747322e+44	1.7061533895509645e+44

Results

4.0ms

48×

valid

Compiler

Compiled 37 to 30 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sin: 2.0ms (77.8% of total)

ival-div: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	74
1	43	74

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 320000 binary64)) (+.f64 (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x)) x) (/.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 320000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 5/2 binary64)) x (/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 145999999999999993864428648323936032974176256 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 320000 binary64)) (+.f64 (.f64 y (.f64 (.f64 y #s(literal -1/6 binary64)) x)) x) (/.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 320000 binary64)) (+.f64 x (.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))))) (/.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 320000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 320000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 5/2 binary64)) x (/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 145999999999999993864428648323936032974176256 binary64)) x #s(literal 0 binary64))
#s(literal 0 binary64)

soundness4.2s (38.6%)

Rules

4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
4220×	`-lowering-.f32`
4220×	`-lowering-.f64`
3460×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	22	30
2	101	30
3	489	30
4	2925	5
0	10191	5
0	118	3024
1	355	2516
2	1083	2468
3	3594	2452
0	8295	2452
0	133	2203
1	405	1848
2	1341	1810
3	6297	1789
0	8214	1789
0	35	160
1	222	142
2	1773	138
0	8593	138
0	23	124
1	155	107
2	1499	107
0	8817	107
0	47	605
1	149	558
2	462	543
3	1516	536
4	2326	536
5	3929	536
6	5833	536
7	6341	536
8	7484	536
0	8132	536

Stop Event

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

Compiler

Compiled 333 to 200 computations (39.9% saved)

preprocess72.0ms (0.7%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 232 to 112 computations (51.7% saved)

analyze40.0ms (0.4%)

sample1.1s (10.1%)

preprocess66.0ms (0.6%)

explain76.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize47.0ms (0.4%)

series7.0ms (0.1%)

rewrite105.0ms (1%)

simplify189.0ms (1.7%)

eval11.0ms (0.1%)

prune10.0ms (0.1%)

simplify213.0ms (2%)

localize134.0ms (1.2%)

series34.0ms (0.3%)

rewrite407.0ms (3.7%)

simplify265.0ms (2.4%)

eval93.0ms (0.9%)

prune68.0ms (0.6%)

simplify214.0ms (2%)

localize192.0ms (1.8%)

series25.0ms (0.2%)

rewrite375.0ms (3.4%)

simplify254.0ms (2.3%)

eval220.0ms (2%)

prune187.0ms (1.7%)

simplify218.0ms (2%)

localize207.0ms (1.9%)

series26.0ms (0.2%)

rewrite421.0ms (3.9%)

simplify193.0ms (1.8%)

eval630.0ms (5.8%)

prune321.0ms (2.9%)

regimes123.0ms (1.1%)

regimes45.0ms (0.4%)

regimes14.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch2.0ms (0%)

bsearch6.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch6.0ms (0.1%)

simplify12.0ms (0.1%)

soundness4.2s (38.6%)

preprocess72.0ms (0.7%)

end0.0ms (0%)

Profiling