Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample532.0ms (7.3%)

Memory

17.2MiB live, 915.0MiB allocated

Samples

352.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-add: 74.0ms (50.1% of total)

ival-mult: 66.0ms (44.7% of total)

ival-true: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess37.0ms (0.5%)

Memory

17.2MiB live, 52.3MiB allocated

Algorithm

2×	egg-herbie

Rules

168×	`cancel-sign-sub-inv`
168×	`sub-neg`
154×	`unsub-neg`
138×	`distribute-rgt-in`
116×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	59	45
2	167	42
3	558	42
4	1103	42
5	1265	42
6	1271	42
0	5	7
1	10	7
2	20	7
3	27	7
4	35	7
5	41	7
6	51	7
7	57	7
8	61	7
0	61	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x y) x) y)

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

Call 2

Inputs
(+ (+ (* x y) x) y)
(+ (+ (* (neg x) y) (neg x)) y)
(+ (+ (* x (neg y)) x) (neg y))
(neg (+ (+ (* (neg x) y) (neg x)) y))
(neg (+ (+ (* x (neg y)) x) (neg y)))
(+ (+ (* y x) y) x)

Outputs
(+ (+ (* x y) x) y)
(+ x (+ y (* x y)))
(+ (+ (* (neg x) y) (neg x)) y)
(- (- y (* x y)) x)
(+ (+ (* x (neg y)) x) (neg y))
(- x (+ y (* x y)))
(neg (+ (+ (* (neg x) y) (neg x)) y))
(+ x (- (* x y) y))
(neg (+ (+ (* x (neg y)) x) (neg y)))
(+ y (- (* x y) x))
(+ (+ (* y x) y) x)
(+ x (+ y (* x y)))

Symmetry

(sort x y)

explain111.0ms (1.5%)

Memory

7.2MiB live, 131.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

50.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-add: 4.0ms (47.8% of total)

ival-mult: 4.0ms (47.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (0.2%)

Memory

-31.0MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

76×	`accelerator-lowering-fma.f32`
76×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	17	18
2	28	18
3	49	18
4	52	18
5	58	18
6	62	18
0	62	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (* y (+ x 1)))
x
(* y (+ x 1))
y
(+ x 1)
1

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

localize19.0ms (0.3%)

Memory

-1.8MiB live, 36.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 2.0ms (45.8% of total)

ival-mult: 2.0ms (45.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite400.0ms (5.5%)

Memory

-0.4MiB live, 549.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 216×	`accelerator-lowering-fma.f32`
5 216×	`accelerator-lowering-fma.f64`
4 206×	`-lowering-.f32`
4 206×	`-lowering-.f64`
2 914×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	40	15
2	339	15
3	3910	15
0	8165	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 260

Calls

Call 1

Inputs
(+ x (* y (+ x 1)))
(* y (+ x 1))
(+ x 1)

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

simplify725.0ms (9.9%)

Memory

-18.3MiB live, 1 214.1MiB allocated

Algorithm

1×	egg-herbie

Rules

31 584×	`accelerator-lowering-fma.f32`
31 584×	`accelerator-lowering-fma.f64`
2 988×	`-lowering-.f32`
2 988×	`-lowering-.f64`
2 688×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	290
1	142	290
2	378	290
3	1075	290
4	2588	290
5	3380	290
6	3986	290
7	4265	290
8	4416	290
9	4504	290
0	8200	247

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval60.0ms (0.8%)

Memory: 10.5MiB live, 88.2MiB allocated
Compiler: Compiled 7 890 to 831 computations (89.5% saved)

prune55.0ms (0.8%)

Memory

10.0MiB live, 86.8MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	314	6	320
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	314	7	321

Accuracy

100.0%

Counts

321 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
	61.2%	(+.f64 x (*.f64 y x))
▶	77.1%	(+.f64 x y)
▶	61.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	38.8%	y
▶	40.1%	x

Compiler

Compiled 81 to 52 computations (35.8% saved)

simplify10.0ms (0.1%)

Memory

-26.3MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

76×	`accelerator-lowering-fma.f32`
76×	`accelerator-lowering-fma.f64`
52×	`-lowering-.f32`
52×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
1	23	41
2	29	41
3	58	41
4	64	41
5	73	41
6	81	41
7	83	41
8	83	41
0	83	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

7.2MiB live, 85.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))

Samples

19.0ms

256×

valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

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

ival-add: 4.0ms (45.3% of total)

ival-div: 3.0ms (34% of total)

ival-mult: 2.0ms (22.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite395.0ms (5.4%)

Memory

15.0MiB live, 639.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 642×	`accelerator-lowering-fma.f32`
4 642×	`accelerator-lowering-fma.f64`
3 664×	`-lowering-.f32`
3 664×	`-lowering-.f64`
2 916×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	70	28
2	545	28
3	5751	28
0	8156	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 556

Calls

Call 1

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

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

simplify330.0ms (4.5%)

Memory

1.0MiB live, 536.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 222×	`accelerator-lowering-fma.f32`
7 222×	`accelerator-lowering-fma.f64`
2 658×	`-lowering-.f32`
2 658×	`-lowering-.f64`
1 338×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	570
1	258	560
2	616	556
3	1692	554
4	4195	554
5	6645	554
6	7869	554
0	8010	488

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval130.0ms (1.8%)

Memory: -2.8MiB live, 195.1MiB allocated
Compiler: Compiled 14 344 to 1 567 computations (89.1% saved)

prune134.0ms (1.8%)

Memory

-17.2MiB live, 228.8MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	791	2	793
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	792	8	800

Accuracy

100.0%

Counts

800 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
▶	61.2%	(+.f64 x (*.f64 y x))
✓	77.1%	(+.f64 x y)
✓	61.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	23.9%	(*.f64 y x)
✓	38.8%	y
✓	40.1%	x

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
32×	`accelerator-lowering-fma.f32`
32×	`accelerator-lowering-fma.f64`
22×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	17	31
2	28	31
3	44	31
4	59	31
5	63	31
6	65	31
7	67	31
8	67	31
0	67	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (0.5%)

Memory

-24.2MiB live, 55.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y x))
✓	accuracy	100.0%	(*.f64 y x)

Samples

19.0ms

256×

valid

Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (46.4% of total)

ival-div: 3.0ms (27.8% of total)

ival-add: 2.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite448.0ms (6.1%)

Memory

26.5MiB live, 619.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 934×	`-lowering-.f32`
4 934×	`-lowering-.f64`
4 148×	`accelerator-lowering-fma.f32`
4 148×	`accelerator-lowering-fma.f64`
3 216×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	55	21
2	378	21
3	3490	21
0	8416	18

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 427

Calls

Call 1

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

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

simplify313.0ms (4.3%)

Memory

1.8MiB live, 474.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 498×	`accelerator-lowering-fma.f32`
6 498×	`accelerator-lowering-fma.f64`
3 016×	`-lowering-.f32`
3 016×	`-lowering-.f64`
1 398×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	434
1	197	424
2	447	420
3	1195	418
4	3194	418
5	5746	418
6	6952	418
7	7579	418
0	8022	374

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval351.0ms (4.8%)

Memory: -4.0MiB live, 125.3MiB allocated
Compiler: Compiled 8 894 to 1 248 computations (86% saved)

prune260.0ms (3.6%)

Memory

-23.3MiB live, 97.8MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	558	1	559
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	559	8	567

Accuracy

100.0%

Counts

567 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.9%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
✓	61.2%	(+.f64 x (*.f64 y x))
✓	77.1%	(+.f64 x y)
✓	61.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	23.9%	(*.f64 y x)
✓	38.8%	y
✓	40.1%	x

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	9	9
2	12	9
3	19	9
4	19	9
0	19	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y (/ 1 x))
y
(/ 1 x)
1
x

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

localize15.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 4.0ms (103% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/ y (/ 1 x))>
#<alt (/ 1 x)>

Outputs
#<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 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)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	y	@	0	(/ y (/ 1 x))
0.0ms	y	@	inf	(/ y (/ 1 x))
0.0ms	y	@	-inf	(/ y (/ 1 x))
0.0ms	x	@	-inf	(/ y (/ 1 x))

rewrite99.0ms (1.4%)

Memory

-19.8MiB live, 134.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

994×	`-lowering-.f32`
994×	`-lowering-.f64`
752×	`/-lowering-/.f32`
752×	`/-lowering-/.f64`
486×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	24	6
2	100	6
3	430	6
0	2930	6

Stop Event

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

Counts

2 → 212

Calls

Call 1

Inputs
(/ y (/ 1 x))
(/ 1 x)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (.f64 y x))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64) (*.f64 y x))
(neg.f64 (*.f64 y x))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 y x) #s(literal -1 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))

simplify6.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	108
1	8	108
0	8	108

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

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

eval25.0ms (0.3%)

Memory: -11.7MiB live, 62.4MiB allocated
Compiler: Compiled 2 500 to 463 computations (81.5% saved)

prune32.0ms (0.4%)

Memory

3.3MiB live, 85.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	248	8	256

Accuracy

100.0%

Counts

256 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.9%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
✓	61.2%	(+.f64 x (*.f64 y x))
✓	77.1%	(+.f64 x y)
✓	61.4%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	23.9%	(*.f64 y x)
✓	38.8%	y
✓	40.1%	x

Compiler

Compiled 101 to 50 computations (50.5% saved)

regimes13.0ms (0.2%)

Memory

-7.4MiB live, 31.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
x
y
(*.f64 y x)
(+.f64 x y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-25.9MiB live, 11.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
x
y
(*.f64 y x)
(+.f64 x y)

Outputs
(*.f64 y x)
(+.f64 x y)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
81.3%	2	`x`
82.9%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(*.f64 y x)

Outputs
(*.f64 y x)
x
y

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
71.6%	3	`x`
73.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
67.4%	2	`x`
68.1%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
40.1%	1	`x`
40.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch49.0ms (0.7%)

Memory

-30.5MiB live, 28.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.62257581159381e-5	0.006647456446721068
40.0ms	-4.532027178784832e-12	-3.0049991865601227e-19

Samples

9.0ms

256×

valid

Compiler

Compiled 236 to 161 computations (31.8% saved)

Precisions

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

ival-add: 2.0ms (48.7% of total)

ival-mult: 2.0ms (48.7% of total)

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

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

bsearch21.0ms (0.3%)

Memory

3.5MiB live, 42.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.62257581159381e-5	0.006647456446721068
11.0ms	-28476.49760477693	-4.532027178784832e-12

Samples

11.0ms

272×

valid

Compiler

Compiled 250 to 180 computations (28% saved)

Precisions

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

ival-add: 3.0ms (54.6% of total)

ival-mult: 2.0ms (36.4% of total)

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

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

bsearch12.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-28476.49760477693	-4.532027178784832e-12

Samples

6.0ms

160×

valid

Compiler

Compiled 132 to 90 computations (31.8% saved)

Precisions

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

ival-add: 1.0ms (38.8% of total)

ival-mult: 1.0ms (38.8% of total)

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

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

bsearch43.0ms (0.6%)

Memory

-15.9MiB live, 22.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.467985257698632e-93	4.3183788251575235e-91
34.0ms	-28476.49760477693	-4.532027178784832e-12

Samples

33.0ms

272×

valid

Compiler

Compiled 168 to 122 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 26.0ms (93.3% of total)

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

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

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

bsearch8.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.467985257698632e-93	4.3183788251575235e-91

Samples

4.0ms

112×

valid

Compiler

Compiled 68 to 52 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (58.4% of total)

ival-mult: 1.0ms (58.4% of total)

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

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

simplify8.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	75
1	40	75

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -5570730176784211/1237940039285380274899124224 binary64)) (+.f64 x (.f64 y x)) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -28000 binary64)) (*.f64 y x) (+.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) x y))
(if (<=.f64 y #s(literal 3944817619502923/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) x y)
x

Outputs
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -5570730176784211/1237940039285380274899124224 binary64)) (+.f64 x (.f64 y x)) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5570730176784211/1237940039285380274899124224 binary64)) (+.f64 x (.f64 x y)) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 7493989779944505/1152921504606846976 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -28000 binary64)) (*.f64 y x) (+.f64 x y))
(if (<=.f64 y #s(literal -28000 binary64)) (*.f64 x y) (+.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) x y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 7339195571168229/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) x y))
(if (<=.f64 y #s(literal 3944817619502923/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) x y)
x

soundness2.5s (33.9%)

Memory

23.8MiB live, 1 726.9MiB allocated

Rules

31 584×	`accelerator-lowering-fma.f32`
31 584×	`accelerator-lowering-fma.f64`
7 222×	`accelerator-lowering-fma.f32`
7 222×	`accelerator-lowering-fma.f64`
2 988×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	290
1	142	290
2	378	290
3	1075	290
4	2588	290
5	3380	290
6	3986	290
7	4265	290
8	4416	290
9	4504	290
0	8200	247
0	5	7
1	10	7
2	20	7
3	27	7
4	35	7
5	41	7
6	51	7
7	57	7
8	61	7
0	61	6
0	83	570
1	258	560
2	616	556
3	1692	554
4	4195	554
5	6645	554
6	7869	554
0	8010	488

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 282 to 161 computations (42.9% saved)

preprocess72.0ms (1%)

Memory: -19.2MiB live, 215.3MiB allocated
Compiler: Compiled 216 to 90 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample532.0ms (7.3%)

preprocess37.0ms (0.5%)

explain111.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.2%)

localize19.0ms (0.3%)

series3.0ms (0%)

rewrite400.0ms (5.5%)

simplify725.0ms (9.9%)

eval60.0ms (0.8%)

prune55.0ms (0.8%)

simplify10.0ms (0.1%)

localize32.0ms (0.4%)

series2.0ms (0%)

rewrite395.0ms (5.4%)

simplify330.0ms (4.5%)

eval130.0ms (1.8%)

prune134.0ms (1.8%)

simplify7.0ms (0.1%)

localize34.0ms (0.5%)

series3.0ms (0%)

rewrite448.0ms (6.1%)

simplify313.0ms (4.3%)

eval351.0ms (4.8%)

prune260.0ms (3.6%)

simplify4.0ms (0.1%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite99.0ms (1.4%)

simplify6.0ms (0.1%)

eval25.0ms (0.3%)

prune32.0ms (0.4%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch49.0ms (0.7%)

bsearch21.0ms (0.3%)

bsearch12.0ms (0.2%)

bsearch43.0ms (0.6%)

bsearch8.0ms (0.1%)

simplify8.0ms (0.1%)

soundness2.5s (33.9%)

preprocess72.0ms (1%)

end0.0ms (0%)

Profiling