Metrics for Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample561.0ms (19.1%)

Memory

-5.3MiB live, 1 025.9MiB allocated

Samples

334.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-add: 76.0ms (51.1% of total)

ival-mult: 63.0ms (42.4% of total)

ival-true: 6.0ms (4% of total)

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

Bogosity

preprocess26.0ms (0.9%)

Memory

-8.6MiB live, 30.0MiB allocated

Algorithm

2×	egg-herbie

Rules

124×	`sub-neg`
110×	`unsub-neg`
72×	`associate-+l-`
64×	`distribute-rgt-in`
54×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	51	43
2	152	42
3	358	42
4	531	42
5	660	42
6	686	42
0	5	7
1	9	7
2	12	7
3	13	7
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (+ (* x x) y) y)
(+ y (+ (* x x) y))
(+ (+ (* (neg x) (neg x)) y) y)
(+ y (+ (* x x) y))
(+ (+ (* x x) (neg y)) (neg y))
(+ (* x x) (* y -2))
(neg (+ (+ (* (neg x) (neg x)) y) y))
(- (* y -2) (* x x))
(neg (+ (+ (* x x) (neg y)) (neg y)))
(- (+ y y) (* x x))
(+ (+ (* y y) x) x)
(+ x (+ x (* y y)))

Symmetry

(abs x)

explain79.0ms (2.7%)

Memory

15.1MiB live, 136.1MiB allocated

FPErrors

Click to see full error table

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

23.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-add: 6.0ms (55.4% of total)

ival-mult: 4.0ms (36.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% 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 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify7.0ms (0.2%)

Memory

-30.8MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	cost-diff	128	(+.f64 (*.f64 x x) y)

Rules

14×	`+-lowering-+.f64`
14×	`+-lowering-+.f32`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
6×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
1	9	17
2	12	17
3	13	17
0	13	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize16.0ms (0.6%)

Memory

35.8MiB live, 35.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) y)

Samples

10.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-add: 2.0ms (45.2% of total)

ival-mult: 2.0ms (45.2% of total)

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

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

series50.0ms (1.7%)

Memory

-33.1MiB live, 5.8MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite451.0ms (15.4%)

Memory

4.9MiB live, 719.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 306×	`accelerator-lowering-fma.f32`
7 306×	`accelerator-lowering-fma.f64`
4 782×	`-lowering-.f32`
4 782×	`-lowering-.f64`
2 300×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	34	15
2	313	15
3	4991	15
0	8110	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 251

Calls

Call 1

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

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

simplify192.0ms (6.6%)

Memory

25.7MiB live, 293.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 558×	`accelerator-lowering-fma.f32`
4 558×	`accelerator-lowering-fma.f64`
3 232×	`-lowering-.f32`
3 232×	`-lowering-.f64`
1 326×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	282
1	80	282
2	193	282
3	655	282
4	1935	282
5	3634	282
6	6739	282
0	8124	246

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval37.0ms (1.3%)

Memory: 7.1MiB live, 55.1MiB allocated
Compiler: Compiled 8 930 to 697 computations (92.2% saved)

prune38.0ms (1.3%)

Memory

-4.5MiB live, 69.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	308	3	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	309	3	312

Accuracy

100.0%

Counts

312 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 y y))
▶	54.6%	(fma.f64 x x #s(literal 0 binary64))
▶	46.5%	(+.f64 y y)

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify5.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 y y)
✓	cost-diff	(fma.f64 x x (+.f64 y y))
✓	cost-diff	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	(+.f64 y y)

Rules

34×	`+-lowering-+.f64`
34×	`+-lowering-+.f32`
14×	`associate-+l+`
14×	`accelerator-lowering-fma.f32`
14×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	13	21
2	27	21
3	33	21
4	35	21
0	35	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ y y)
y
(+ (* x x) 0)
x
0
(+ (* x x) (+ y y))
x
(+ y y)
y

Outputs
(+ y y)
(+.f64 y y)
y
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* x x) (+ y y))
(+.f64 y (fma.f64 x x y))
x
(+ y y)
(+.f64 y y)
y

localize63.0ms (2.2%)

Memory

-9.6MiB live, 27.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x (+.f64 y y))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 y y)

Samples

55.0ms

256×

valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

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

ival-add: 3.0ms (50.3% of total)

ival-mult: 2.0ms (33.5% 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

1.4MiB live, 1.4MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (+ y y)>
#<alt (+ (* x x) 0)>
#<alt (+ (* x x) (+ y y))>

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

Calls

12 calls:

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

rewrite71.0ms (2.4%)

Memory

11.9MiB live, 57.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

268×	`associate-*l/`
236×	`associate-*r/`
166×	`-lowering-.f32`
166×	`-lowering-.f64`
162×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	45	3
2	587	3
0	3685	3

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

3 → 3

Calls

Call 1

Inputs
(+ y y)
(+ (* x x) 0)
(+ (* x x) (+ y y))

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

simplify290.0ms (9.9%)

Memory

-17.2MiB live, 253.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 234×	`accelerator-lowering-fma.f32`
3 234×	`accelerator-lowering-fma.f64`
3 064×	`-lowering-.f32`
3 064×	`-lowering-.f64`
1 974×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	216
1	53	216
2	130	216
3	431	216
4	1321	216
5	3236	216
6	6164	216
0	8044	198

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 15.2MiB live, 15.2MiB allocated
Compiler: Compiled 339 to 8 computations (97.6% saved)

prune2.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	63	4	67

Accuracy

100.0%

Counts

67 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	54.6%	(fma.f64 x x #s(literal 0 binary64))
✓	46.5%	(+.f64 y y)
▶	2.7%	#s(literal 0 binary64)

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0
#s(literal 0 binary64)

localize10.0ms (0.4%)

Memory

-27.9MiB live, 18.4MiB allocated

Samples

7.0ms

256×

valid

Compiler

Compiled 3 to 5 computations (-66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite7.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify4.0ms (0.1%)

Memory

-33.0MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval1.0ms (0%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	54.6%	(fma.f64 x x #s(literal 0 binary64))
✓	46.5%	(+.f64 y y)
✓	2.7%	#s(literal 0 binary64)

Compiler

Compiled 45 to 23 computations (48.9% saved)

regimes13.0ms (0.4%)

Memory

-9.3MiB live, 30.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)

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

Calls

4 calls:

5.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	y
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 20 to 12 computations (40% saved)

regimes8.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 y y)
(fma.f64 x x #s(literal 0 binary64))

Outputs
(+.f64 y y)
(fma.f64 x x #s(literal 0 binary64))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.7%	2	`x`
68.0%	3	`y`
77.5%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
83.7%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes7.0ms (0.2%)

Memory

-20.8MiB live, 18.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 y y)

Outputs
(+.f64 y y)

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
46.5%	1	`y`
46.5%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
46.5%	1	`x`
46.5%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes5.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
2.7%	1	`x`
2.7%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
2.7%	1	`(*.f64 x x)`
2.7%	1	`y`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8529770984729865e-23	1.0211572014498689e-10

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify15.0ms (0.5%)

Memory

-40.7MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(if (<=.f64 (*.f64 x x) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 y y)
#s(literal 0 binary64)

Outputs
(fma.f64 x x (+.f64 y y))
(if (<=.f64 (*.f64 x x) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 y y)
#s(literal 0 binary64)

soundness849.0ms (29%)

Memory

23.7MiB live, 405.1MiB allocated

Rules

7 306×	`accelerator-lowering-fma.f32`
7 306×	`accelerator-lowering-fma.f64`
4 782×	`-lowering-.f32`
4 782×	`-lowering-.f64`
4 558×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	45	3
2	587	3
0	3685	3
0	27	282
1	80	282
2	193	282
3	655	282
4	1935	282
5	3634	282
6	6739	282
0	8124	246
0	5	15
1	34	15
2	313	15
3	4991	15
0	8110	13

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Compiler

Compiled 57 to 30 computations (47.4% saved)

preprocess109.0ms (3.7%)

Memory: 13.1MiB live, 126.0MiB allocated
Remove: (abs x)
Compiler: Compiled 102 to 48 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample561.0ms (19.1%)

preprocess26.0ms (0.9%)

explain79.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize16.0ms (0.6%)

series50.0ms (1.7%)

rewrite451.0ms (15.4%)

simplify192.0ms (6.6%)

eval37.0ms (1.3%)

prune38.0ms (1.3%)

simplify5.0ms (0.2%)

localize63.0ms (2.2%)

series1.0ms (0%)

rewrite71.0ms (2.4%)

simplify290.0ms (9.9%)

eval6.0ms (0.2%)

prune2.0ms (0.1%)

simplify4.0ms (0.1%)

localize10.0ms (0.4%)

series0.0ms (0%)

rewrite7.0ms (0.2%)

simplify4.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.4%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.5%)

soundness849.0ms (29%)

preprocess109.0ms (3.7%)

end0.0ms (0%)

Profiling