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

analyze15.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

ival-mult: 2.0ms (35.8% of total)

ival-sin: 2.0ms (35.8% of total)

ival-div: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

sample843.0ms (9.7%)

Results

645.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-sin: 228.0ms (58.8% of total)

ival-div: 77.0ms (19.9% of total)

ival-mult: 72.0ms (18.6% of total)

const: 8.0ms (2.1% of total)

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

Bogosity

preprocess64.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs y)

(negabs x)

explain67.0ms (0.8%)

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

44.0ms

512×

valid

Compiler

Compiled 42 to 17 computations (59.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 14.0ms (61.4% of total)

ival-mult: 5.0ms (21.9% of total)

ival-div: 4.0ms (17.5% of total)

const: 0.0ms (0% 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
▶	86.1%	(/.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 (0.1%)

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

localize40.0ms (0.5%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	86.1%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 (sin.f64 y) y)
✓	accuracy	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))

Results

31.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 8.0ms (44.6% of total)

ival-mult: 6.0ms (33.5% of total)

ival-div: 4.0ms (22.3% of total)

const: 0.0ms (0% of total)

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

series11.0ms (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
5.0ms	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))
1.0ms	x	@	inf	(* x (/ (sin y) y))

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

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

simplify218.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	605
1	149	588
2	461	570
3	1509	562
4	2322	562
5	3926	562
6	5825	562
7	6331	562
8	7474	562
0	8120	562

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval10.0ms (0.1%)

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

prune22.0ms (0.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

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

Accuracy

99.9%

Counts

116 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	41.2%	(/.f64 (*.f64 x y) y)
	54.2%	(+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
	54.3%	(.f64 x (/.f64 (.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))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	54.3%	(.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))))))
▶	54.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
▶	55.0%	x
▶	14.6%	#s(literal 0 binary64)

Compiler

Compiled 186 to 120 computations (35.5% saved)

simplify244.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

3984×	`-lowering-.f32`
3984×	`-lowering-.f64`
2642×	`/-lowering-/.f32`
2642×	`/-lowering-/.f64`
2140×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	52	87
2	148	87
3	492	87
4	1427	87
5	3898	87
6	4788	87
7	5971	87
8	6380	87
9	6501	87
10	6585	87
0	8710	87

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize77.0ms (0.9%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))
✓	accuracy	96.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	94.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	72.8%	(/.f64 (*.f64 x y) y)

Results

54.0ms

256×

valid

Compiler

Compiled 102 to 19 computations (81.4% saved)

Precisions

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

ival-mult: 15.0ms (50.2% of total)

...c/correct-round.rkt:119:19: 8.0ms (26.8% of total)

ival-add: 4.0ms (13.4% of total)

ival-div: 2.0ms (6.7% of total)

const: 1.0ms (3.3% of total)

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

series13.0ms (0.2%)

Counts

12 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite289.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4056×	`-lowering-.f32`
4056×	`-lowering-.f64`
2756×	`/-lowering-/.f32`
2756×	`/-lowering-/.f64`
1770×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	86
1	98	74
2	825	74
0	8394	74

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 480

Calls

Call 1

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

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

simplify187.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2702×	`-lowering-.f32`
2702×	`-lowering-.f64`
1442×	`fma-lowering-fma.f32`
1442×	`fma-lowering-fma.f64`
1370×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1161
1	147	1105
2	379	1103
3	1046	1090
4	2989	1090
5	6552	1090
0	8197	1090

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval110.0ms (1.3%)

Compiler: Compiled 18829 to 1565 computations (91.7% saved)

prune94.0ms (1.1%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	681	10	691
Fresh	1	1	2
Picked	0	5	5
Done	0	2	2
Total	682	18	700

Accuracy

99.9%

Counts

700 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	40.6%	(/.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y))
✓	41.2%	(/.f64 (*.f64 x y) y)
	54.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
▶	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	54.3%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
	54.2%	(+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
	41.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
▶	40.5%	(.f64 (.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64))))
	44.5%	(.f64 y (+.f64 (/.f64 x y) (.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))) x)))
	44.4%	(.f64 y (+.f64 (/.f64 x y) (.f64 (*.f64 y #s(literal -1/6 binary64)) x)))
	53.9%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	54.3%	(.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))))))
✓	54.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
▶	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	55.0%	x
✓	14.6%	#s(literal 0 binary64)

Compiler

Compiled 371 to 238 computations (35.8% saved)

simplify239.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4022×	`-lowering-.f32`
4022×	`-lowering-.f64`
3316×	`associate-/r/`
1794×	`/-lowering-/.f32`
1794×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	123
1	58	118
2	177	118
3	497	117
4	1292	116
5	3271	116
6	5986	116
7	6046	116
8	6077	116
9	6105	116
10	6134	116
11	6165	116
12	6282	116
13	6317	116
14	6354	116
15	6393	116
16	6434	116
17	6477	116
18	6522	116
19	6569	116
20	6618	116
0	9191	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize108.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	accuracy	86.1%	(/.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y))
✓	accuracy	79.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	86.0%	(.f64 (.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	88.1%	(.f64 x (.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	88.1%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

Results

66.0ms

256×

valid

Compiler

Compiled 146 to 20 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 15.0ms (45.4% of total)

ival-div: 9.0ms (27.2% of total)

ival-add: 4.0ms (12.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Counts

14 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite328.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3822×	`-lowering-.f32`
3822×	`-lowering-.f64`
3018×	`/-lowering-/.f32`
3018×	`/-lowering-/.f64`
1724×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	74
1	130	70
2	1067	70
0	8558	70

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1075

Calls

Call 1

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

Outputs
x
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x y) #s(literal -1 binary64))))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x y) y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64))) y)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 y (/.f64 x y))
(*.f64 y (pow.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) y) y))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) y)
(.f64 (/.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 y (*.f64 x y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) y)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (.f64 #s(literal -1/6 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 x y)))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/6 binary64) y))) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #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 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) #s(literal 1 binary64)))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/6 binary64) 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)))) #s(literal 1 binary64))
(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))))) y)
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (+.f64 #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)))))
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(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) #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)))) y))
(.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) y) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) y))
(.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))) y) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) y))
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 y #s(literal -1/6 binary64))

simplify314.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2356×	`fma-lowering-fma.f32`
2356×	`fma-lowering-fma.f64`
2038×	`-lowering-.f32`
2038×	`-lowering-.f64`
1888×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1439
1	269	1352
2	778	1305
3	2401	1304
4	5811	1304
0	8076	1304

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval226.0ms (2.6%)

Compiler: Compiled 26884 to 1539 computations (94.3% saved)

prune146.0ms (1.7%)

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	1493	14	1507
Fresh	3	3	6
Picked	1	4	5
Done	0	7	7
Total	1497	28	1525

Accuracy

99.9%

Counts

1525 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) y))
	55.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	86.1%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	40.6%	(/.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y))
▶	51.9%	(/.f64 (.f64 x y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) y))
✓	41.2%	(/.f64 (*.f64 x y) y)
▶	41.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y)))
✓	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	55.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
	40.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) y))
✓	54.3%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) x)
▶	54.2%	(+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
	41.1%	(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
	44.0%	(.f64 (/.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))))) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
	53.6%	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))))
	39.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))))
	41.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y))
	3.0%	(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
	3.0%	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) y) y)
▶	3.0%	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) y) x) y)
	19.8%	(.f64 (.f64 x y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))
	44.5%	(.f64 y (+.f64 (/.f64 x y) (.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))) x)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	54.3%	(.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))))))
✓	54.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	55.0%	x
✓	14.6%	#s(literal 0 binary64)

Compiler

Compiled 663 to 403 computations (39.2% saved)

simplify204.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 x (.f64 y y))
✓	cost-diff	0	(.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	256	(/.f64 (.f64 x y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(/.f64 y (*.f64 x y))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y)))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) y)
✓	cost-diff	0	(.f64 (.f64 #s(literal -1/6 binary64) y) x)
✓	cost-diff	0	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) y) x) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	256	(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))

Rules

2772×	`-lowering-.f32`
2772×	`-lowering-.f64`
2590×	`+-lowering-+.f64`
2590×	`+-lowering-+.f32`
2302×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	230
1	90	181
2	273	162
3	787	161
4	2765	161
5	5989	161
6	7512	161
0	8202	161

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize168.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal -1/5040 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))
✓	accuracy	88.1%	(.f64 x (.f64 y y))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	69.0%	(/.f64 (.f64 x y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y)))
✓	accuracy	72.7%	(/.f64 y (*.f64 x y))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) y) x) y)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal -1/6 binary64) y) x)
✓	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	79.8%	(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))

Results

124.0ms

256×

valid

Compiler

Compiled 206 to 32 computations (84.5% saved)

Precisions

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

ival-mult: 25.0ms (40% of total)

...c/correct-round.rkt:119:19: 16.0ms (25.6% of total)

ival-div: 15.0ms (24% of total)

ival-add: 5.0ms (8% of total)

const: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Counts

21 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
17.0ms	y	@	inf	(* y (+ 1/120 (* (* y y) -1/5040)))
2.0ms	x	@	0	(+ x (* (* x (* y y)) (+ -1/6 (* y (* y (+ 1/120 (* (* y y) -1/5040)))))))
1.0ms	x	@	inf	(/ (* x y) (* (+ 1 (* y (* y 1/6))) y))
1.0ms	x	@	0	(/ (* x y) (* (+ 1 (* y (* y 1/6))) y))
1.0ms	x	@	-inf	(/ (* x y) (* (+ 1 (* y (* y 1/6))) y))

rewrite351.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3730×	`-lowering-.f32`
3730×	`-lowering-.f64`
2816×	`/-lowering-/.f32`
2816×	`/-lowering-/.f64`
2328×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	185	119
2	1392	115
0	8414	115

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 728

Calls

Call 1

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

Outputs
x
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(/.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (*.f64 y x) y)
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(fma.f64 y #s(literal 1/120 binary64) (.f64 y (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64))) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) y (.f64 y (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (.f64 y (.f64 y y)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) y (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y) (*.f64 y #s(literal 1/120 binary64)))
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simplify292.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4912×	`-lowering-.f32`
4912×	`-lowering-.f64`
1372×	`fma-lowering-fma.f32`
1372×	`fma-lowering-fma.f64`
1312×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	2330
1	368	2224
2	1109	2210
3	5317	2206
0	8208	2206

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval147.0ms (1.7%)

Compiler: Compiled 22469 to 1908 computations (91.5% saved)

prune176.0ms (2%)

Pruning

40 alts after pruning (28 fresh and 12 done)

	Pruned	Kept	Total
New	1165	19	1184
Fresh	3	9	12
Picked	3	2	5
Done	1	10	11
Total	1172	40	1212

Accuracy

99.9%

Counts

1212 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y)
	40.5%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) y))
	51.8%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y))
	55.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	50.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) y))
✓	86.1%	(/.f64 (*.f64 x (sin.f64 y)) y)
	44.1%	(/.f64 (.f64 x y) (.f64 (/.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))
✓	40.6%	(/.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) y))
	51.8%	(/.f64 (.f64 x y) (.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) y)) y))
	14.7%	(/.f64 (.f64 x y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y))
✓	41.2%	(/.f64 (*.f64 x y) y)
	55.6%	(/.f64 y (/.f64 y x))
	66.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
	25.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x) (.f64 (+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))))))) (-.f64 (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64)))))))) x))))
	65.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))) x))
✓	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	54.2%	(+.f64 x (.f64 (.f64 x (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
	40.8%	(.f64 (/.f64 (/.f64 (.f64 y x) (+.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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))) y))
	44.7%	(.f64 (/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
	47.9%	(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
	56.1%	(.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))) (/.f64 x y))
	44.0%	(.f64 (/.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))))) (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
	53.6%	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))))
	54.6%	(.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 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	39.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y #s(literal -1/6 binary64))))
	54.6%	(.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 y (.f64 y #s(literal 1/6 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
	66.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))) x)
	51.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))) (*.f64 y x))
	52.2%	(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) (/.f64 #s(literal 1 binary64) y))
	3.0%	(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
	3.0%	(.f64 (.f64 (*.f64 x #s(literal -1/6 binary64)) y) y)
✓	3.0%	(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) y) x) y)
	19.8%	(.f64 (.f64 x y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y) (.f64 #s(literal -1/216 binary64) (.f64 y (.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))
	44.5%	(.f64 y (+.f64 (/.f64 x y) (.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))) x)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	54.3%	(.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))))))
✓	54.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	55.0%	x
✓	14.6%	#s(literal 0 binary64)

Compiler

Compiled 1574 to 627 computations (60.2% saved)

regimes65.0ms (0.7%)

Counts

52 → 1

Calls

Call 1

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

16.0ms	x
15.0ms	y
14.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms	(/.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)

regimes42.0ms (0.5%)

Counts

50 → 1

Calls

Call 1

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

Calls

2 calls:

25.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
66.0%	1	`x`
66.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
66.1%	2	`y`
65.2%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.0%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
65.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs
x
#s(literal 0 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
65.5%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
14.6%	1	`x`
14.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.39096584787539185	69864.69807878941

Results

13.0ms

144×

valid

Compiler

Compiled 211 to 144 computations (31.8% saved)

Precisions

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

ival-sin: 6.0ms (74.7% of total)

ival-div: 1.0ms (12.5% of total)

ival-mult: 1.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.39096584787539185	69864.69807878941

Results

11.0ms

144×

valid

Compiler

Compiled 211 to 153 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 5.0ms (68.6% of total)

ival-div: 1.0ms (13.7% of total)

ival-mult: 1.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.39096584787539185	69864.69807878941

Results

11.0ms

144×

valid

Compiler

Compiled 139 to 99 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 5.0ms (70.4% of total)

ival-div: 1.0ms (14.1% of total)

ival-mult: 1.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1245540543271857700.0	3.777907592383586e+19

Results

10.0ms

112×

valid

Compiler

Compiled 69 to 58 computations (15.9% saved)

Precisions

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

ival-sin: 5.0ms (78% of total)

ival-div: 1.0ms (15.6% of total)

ival-mult: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	74
1	48	74
2	59	74
3	70	74
4	76	74
5	79	74
6	80	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(if (<=.f64 y #s(literal 260 binary64)) (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x) (/.f64 (/.f64 (.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 260 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 (/.f64 (.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) x (/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 5800000000000000000 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 y (.f64 y #s(literal -1/6 binary64)))))
(if (<=.f64 y #s(literal 260 binary64)) (+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) x) (/.f64 (/.f64 (.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 260 binary64)) (+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (/.f64 (/.f64 (.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 260 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 (/.f64 (.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 5404319552844595/2251799813685248 binary64)) x (/.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) y) y))
(if (<=.f64 y #s(literal 5800000000000000000 binary64)) x #s(literal 0 binary64))
#s(literal 0 binary64)

soundness3.2s (37.4%)

Rules

4912×	`-lowering-.f32`
4912×	`-lowering-.f64`
4056×	`-lowering-.f32`
4056×	`-lowering-.f64`
2756×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	86
1	98	74
2	825	74
0	8394	74
0	94	1439
1	269	1352
2	778	1305
3	2401	1304
4	5811	1304
0	8076	1304
0	7	30
1	22	30
2	101	30
3	489	30
4	2919	5
0	10726	5
0	121	2330
1	368	2224
2	1109	2210
3	5317	2206
0	8208	2206
0	47	605
1	149	588
2	461	570
3	1509	562
4	2322	562
5	3926	562
6	5825	562
7	6331	562
8	7474	562
0	8120	562

Stop Event

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

Compiler

Compiled 265 to 165 computations (37.7% saved)

preprocess61.0ms (0.7%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 232 to 114 computations (50.9% saved)

analyze15.0ms (0.2%)

sample843.0ms (9.7%)

preprocess64.0ms (0.7%)

explain67.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize40.0ms (0.5%)

series11.0ms (0.1%)

rewrite86.0ms (1%)

simplify218.0ms (2.5%)

eval10.0ms (0.1%)

prune22.0ms (0.3%)

simplify244.0ms (2.8%)

localize77.0ms (0.9%)

series13.0ms (0.2%)

rewrite289.0ms (3.3%)

simplify187.0ms (2.2%)

eval110.0ms (1.3%)

prune94.0ms (1.1%)

simplify239.0ms (2.8%)

localize108.0ms (1.2%)

series14.0ms (0.2%)

rewrite328.0ms (3.8%)

simplify314.0ms (3.6%)

eval226.0ms (2.6%)

prune146.0ms (1.7%)

simplify204.0ms (2.4%)

localize168.0ms (1.9%)

series33.0ms (0.4%)

rewrite351.0ms (4%)

simplify292.0ms (3.4%)

eval147.0ms (1.7%)

prune176.0ms (2%)

regimes65.0ms (0.7%)

regimes42.0ms (0.5%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch19.0ms (0.2%)

bsearch29.0ms (0.3%)

bsearch17.0ms (0.2%)

bsearch14.0ms (0.2%)

simplify11.0ms (0.1%)

soundness3.2s (37.4%)

preprocess61.0ms (0.7%)

end0.0ms (0%)

Profiling