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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

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)

sample512.0ms (16.6%)

Memory

14.3MiB live, 961.4MiB allocated

Samples

316.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-add: 80.0ms (49.1% of total)

ival-mult: 74.0ms (45.4% of total)

ival-true: 6.0ms (3.7% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain70.0ms (2.3%)

Memory

14.1MiB live, 130.5MiB 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

30.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 11.0ms (68.8% of total)

ival-mult: 4.0ms (25% of total)

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

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

preprocess21.0ms (0.7%)

Memory

-5.5MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify10.0ms (0.3%)

Memory

-30.1MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff	1	(+.f64 (*.f64 x x) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y

localize14.0ms (0.4%)

Memory

29.4MiB live, 29.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (+.f64 (*.f64 x x) y) y)
accuracy	0.0078125	(+.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 (47.6% of total)

ival-mult: 2.0ms (47.6% of total)

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

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

series7.0ms (0.2%)

Memory

-30.4MiB live, 7.7MiB allocated

Counts

3 → 11

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
1.0ms	x	@	inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
1.0ms	x	@	0	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
0.0ms	x	@	-inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
0.0ms	y	@	inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))

simplify76.0ms (2.5%)

Memory

28.2MiB live, 110.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	59
1	82	59
2	225	59
3	1000	59
4	3703	59
5	7989	59
0	8017	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite208.0ms (6.7%)

Memory

-7.2MiB live, 222.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	41	15
2	356	15
3	5834	15
0	8414	13

Stop Event

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

Counts

3 → 189

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y (*.f64 x x)) y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 x x)) y) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 x x y) (/.f64 (-.f64 (.f64 x x) y) (-.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x)))) (.f64 (.f64 y (/.f64 y (-.f64 (.f64 x x) y))) (.f64 y (/.f64 y (-.f64 (.f64 x x) y))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) (.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 (.f64 x x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) (fma.f64 (.f64 y (/.f64 y (-.f64 (.f64 x x) y))) (.f64 y (/.f64 y (-.f64 (.f64 x x) y))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) (.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (.f64 (-.f64 (.f64 x x) y) (.f64 y y))) (pow.f64 (-.f64 (.f64 x x) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x x) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (*.f64 x x) y)))
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (-.f64 y (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 x x y)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 x x) y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 x x) y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y (.f64 x x)) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 x x)) y) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y (.f64 x x)) y)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 x x)) y) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 x x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x x) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (neg.f64 x) (-.f64 (.f64 x x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x x) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 (.f64 x x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x x) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x x) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) y)
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (-.f64 (.f64 x x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x x) y)))
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(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) y)
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y) y)
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y (.f64 x x)) y)) y)
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 x x)) y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) y)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) (neg.f64 (.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) y)) (fabs.f64 (.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(fma.f64 (neg.f64 (fma.f64 x x y)) (/.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (fabs.f64 (fma.f64 x x y)) (/.f64 (fabs.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) (.f64 y (.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 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 (-.f64 (.f64 x x) y) (-.f64 (.f64 x x) y)) y)
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x)))) (.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 #s(literal -2 binary64) y))) (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 #s(literal -2 binary64) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) (-.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(-.f64 y (-.f64 (*.f64 (neg.f64 x) x) y))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y))
(+.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x x))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval32.0ms (1%)

Memory: 16.0MiB live, 54.7MiB allocated
Compiler: Compiled 4 879 to 588 computations (87.9% saved)

prune31.0ms (1%)

Memory

-47.6MiB live, 21.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	192	3	195

Accuracy

100.0%

Counts

195 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	56.1%	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
cost-diff	0	(fma.f64 x x y)
cost-diff	0	(+.f64 (fma.f64 x x y) y)
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	17	39
1	31	39
2	64	39
3	106	39
4	135	39
5	145	39
6	154	39
7	156	39
0	156	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
x
y
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
#s(literal 2 binary64)
(*.f64 x x)
x

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(+.f64 (fma.f64 x x y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 x x y)
x
y
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
y
#s(literal 2 binary64)
(*.f64 x x)
x

localize27.0ms (0.9%)

Memory

0.4MiB live, 39.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
accuracy	0.0	(fma.f64 x x y)
accuracy	0.0078125	(+.f64 (fma.f64 x x y) y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	28.074689885813978	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Samples

21.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 5.0ms (56% of total)

ival-add: 4.0ms (44.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

6 → 11

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* y 2) (* x x)) (* x x))
1.0ms	y	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* y 2) (* x x)) (* x x))
0.0ms	x	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* y 2) (* x x)) (* x x))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* y 2) (* x x)) (* x x))
0.0ms	x	@	0	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* y 2) (* x x)) (* x x))

simplify82.0ms (2.7%)

Memory

-4.3MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	59
1	82	59
2	225	59
3	1002	59
4	3715	59
0	8002	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite156.0ms (5.1%)

Memory

-0.2MiB live, 242.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	17	32
1	65	32
2	510	32
0	8337	32

Stop Event

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

Counts

6 → 764

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 4 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 8 binary64) (*.f64 y y)) y)
(.f64 (.f64 #s(literal 8 binary64) y) (*.f64 y y))
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))
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(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 y) #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (neg.f64 (fma.f64 x x y)) (/.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 4 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (fabs.f64 y) #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 y) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (fabs.f64 (fma.f64 x x y)) (/.f64 (fabs.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))
(fma.f64 #s(literal 4 binary64) y (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 4 binary64) y (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 y (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 x x))))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 y y) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 y y) (*.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 x x))
(fma.f64 (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(fma.f64 (.f64 y y) (.f64 y #s(literal 8 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 y y) (.f64 y #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 y y) (.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 y y) (.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x y) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 (fma.f64 x x y) (/.f64 (-.f64 (.f64 x x) y) (-.f64 (.f64 x x) y)) y)
(fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(fma.f64 y (.f64 (.f64 y y) #s(literal 8 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 y (.f64 (.f64 y y) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 y #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y #s(literal -2 binary64) (*.f64 x x))
(fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(fma.f64 y #s(literal 4 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y #s(literal 4 binary64) (*.f64 x x))
(fma.f64 y (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 y (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal -2 binary64) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x)))) (.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (*.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (.f64 x x))) (-.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (-.f64 (*.f64 x x) y) y)
(-.f64 (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y))
(-.f64 y (-.f64 (*.f64 (neg.f64 x) x) y))
(+.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (-.f64 y (*.f64 x x)) y)
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (*.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (*.f64 x x) y) #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (.f64 y y))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(+.f64 (neg.f64 y) (neg.f64 (-.f64 y (*.f64 x x))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -2 binary64) y))
(+.f64 (.f64 #s(literal -2 binary64) y) (.f64 (neg.f64 x) x))
(+.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (-.f64 y (*.f64 x x)))
(+.f64 y (fma.f64 x x y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval108.0ms (3.5%)

Memory: -5.7MiB live, 108.6MiB allocated
Compiler: Compiled 10 442 to 1 192 computations (88.6% saved)

prune11.0ms (0.3%)

Memory

-4.5MiB live, 34.0MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	532	3	535
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	533	5	538

Accuracy

100.0%

Counts

538 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (fma.f64 x x y) y)
▶	56.1%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	11.6%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
▶	2.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))

Compiler

Compiled 45 to 32 computations (28.9% saved)

simplify7.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
cost-diff	0	(*.f64 y #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
0	16	47
1	27	47
2	52	47
3	97	47
4	126	47
5	137	47
6	152	47
7	166	47
8	170	47
0	170	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
y

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)
y
#s(literal -2 binary64)
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize26.0ms (0.8%)

Memory

-6.8MiB live, 68.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	28.074689885813978	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
accuracy	0.0	(*.f64 y #s(literal 4 binary64))
accuracy	56.560861133739515	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
accuracy	0.0	(*.f64 y #s(literal -2 binary64))
accuracy	62.47842699378201	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

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

ival-mult: 5.0ms (55.9% of total)

ival-add: 3.0ms (33.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

6 → 8

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)

Outputs
(* 2 y)
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* -2 y)
(* 4 y)
(* y (+ 2 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
1.0ms	y	@	inf	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
1.0ms	y	@	0	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
0.0ms	x	@	inf	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))

simplify174.0ms (5.6%)

Memory

-1.3MiB live, 243.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	62	44
2	168	44
3	744	44
4	4234	44
0	8301	41

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite44.0ms (1.4%)

Memory

3.1MiB live, 42.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
0	16	42
1	57	42
0	419	39

Stop Event

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

Counts

6 → 15

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 y y)

eval2.0ms (0.1%)

Memory: 4.9MiB live, 4.9MiB allocated
Compiler: Compiled 277 to 61 computations (78% saved)

prune1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	21	4	25

Accuracy

100.0%

Counts

25 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (fma.f64 x x y) y)
✓	56.1%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	45.5%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify10.0ms (0.3%)

Memory

-24.6MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	8	15
1	16	15
2	38	15
3	82	15
4	108	15
5	115	15
6	125	15
7	135	15
8	148	15
9	150	15
0	150	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x

localize13.0ms (0.4%)

Memory

26.2MiB live, 26.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	34.90655803308304	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-add: 2.0ms (46.1% of total)

ival-mult: 2.0ms (46.1% of total)

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

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

series2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 6

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)

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

Calls

6 calls:

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

simplify145.0ms (4.7%)

Memory

-6.6MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	38
1	57	38
2	164	38
3	733	38
4	4555	38
0	8207	35

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 6

Calls

Call 1

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

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

rewrite224.0ms (7.3%)

Memory

-7.5MiB live, 234.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	41	14
2	356	14
3	5834	14
0	8407	13

Stop Event

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

Counts

2 → 21

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval3.0ms (0.1%)

Memory: 5.8MiB live, 5.8MiB allocated
Compiler: Compiled 360 to 82 computations (77.2% saved)

prune3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	25	4	29

Accuracy

100.0%

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (fma.f64 x x y) y)
✓	56.1%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	45.5%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 108 to 46 computations (57.4% saved)

regimes15.0ms (0.5%)

Memory

-15.7MiB live, 22.9MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(+.f64 (fma.f64 x x y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))

Outputs
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))

Calls

4 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	y
3.0ms	x
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 12 to 12 computations (0% saved)

regimes10.0ms (0.3%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(+.f64 (fma.f64 x x y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)

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

Calls

4 calls:

3.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	y
3.0ms	x
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 12 to 12 computations (0% saved)

regimes12.0ms (0.4%)

Memory

-18.7MiB live, 18.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.5%	2	`x`
66.2%	3	`y`
81.1%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
87.5%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes6.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.1%	1	`y`
56.1%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
56.1%	1	`x`
56.1%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch13.0ms (0.4%)

Memory

-30.2MiB live, 14.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.3472301424656016e-107	1.426927118578192e-103

Samples

7.0ms

128×

valid

Compiler

Compiled 170 to 130 computations (23.5% saved)

Precisions

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

ival-add: 5.0ms (98.4% of total)

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

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

simplify78.0ms (2.5%)

Memory

17.1MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	26	51
2	49	51
3	93	51
4	127	51
5	161	51
6	332	51
7	1963	51
8	3642	51

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 5648671608315113/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Outputs
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 5648671608315113/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

soundness850.0ms (27.6%)

Memory

26.3MiB live, 371.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	59
1	82	59
2	225	59
3	1000	59
4	3703	59
5	7989	59
0	8017	52
0	5	15
0	8	15
1	41	15
2	356	15
3	5834	15
0	8414	13
0	23	44
1	62	44
2	168	44
3	744	44
4	4234	44
0	8301	41
0	12	32
0	17	32
1	65	32
2	510	32
0	8337	32

Stop Event

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

Compiler

Compiled 122 to 69 computations (43.4% saved)

preprocess67.0ms (2.2%)

Memory: -13.8MiB live, 116.0MiB allocated
Remove: (abs x)
Compiler: Compiled 142 to 62 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	6

Iter	Nodes	Cost
0	5	17
0	8	17
1	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	15

Iter	Nodes	Cost
0	13	47
0	16	47
1	27	47
2	52	47
3	97	47
4	126	47
5	137	47
6	152	47
7	166	47
8	170	47
0	170	44

Iter	Nodes	Cost
0	7	15
0	8	15
1	16	15
2	38	15
3	82	15
4	108	15
5	115	15
6	125	15
7	135	15
8	148	15
9	150	15
0	150	14

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	6

Iter	Nodes	Cost
0	5	17
0	8	17
1	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	15

Iter	Nodes	Cost
0	13	47
0	16	47
1	27	47
2	52	47
3	97	47
4	126	47
5	137	47
6	152	47
7	166	47
8	170	47
0	170	44

Iter	Nodes	Cost
0	7	15
0	8	15
1	16	15
2	38	15
3	82	15
4	108	15
5	115	15
6	125	15
7	135	15
8	148	15
9	150	15
0	150	14

start0.0ms (0%)

analyze0.0ms (0%)

sample512.0ms (16.6%)

explain70.0ms (2.3%)

preprocess21.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.3%)

localize14.0ms (0.4%)

series7.0ms (0.2%)

simplify76.0ms (2.5%)

rewrite208.0ms (6.7%)

eval32.0ms (1%)

prune31.0ms (1%)

simplify6.0ms (0.2%)

localize27.0ms (0.9%)

series3.0ms (0.1%)

simplify82.0ms (2.7%)

rewrite156.0ms (5.1%)

eval108.0ms (3.5%)

prune11.0ms (0.3%)

simplify7.0ms (0.2%)

localize26.0ms (0.8%)

series3.0ms (0.1%)

simplify174.0ms (5.6%)

rewrite44.0ms (1.4%)

eval2.0ms (0.1%)

prune1.0ms (0%)

simplify10.0ms (0.3%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

simplify145.0ms (4.7%)

rewrite224.0ms (7.3%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes15.0ms (0.5%)

regimes10.0ms (0.3%)

regimes12.0ms (0.4%)

regimes6.0ms (0.2%)

bsearch13.0ms (0.4%)

simplify78.0ms (2.5%)

soundness850.0ms (27.6%)

preprocess67.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	6

Iter	Nodes	Cost
0	5	17
0	8	17
1	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	15

Iter	Nodes	Cost
0	13	47
0	16	47
1	27	47
2	52	47
3	97	47
4	126	47
5	137	47
6	152	47
7	166	47
8	170	47
0	170	44

Iter	Nodes	Cost
0	7	15
0	8	15
1	16	15
2	38	15
3	82	15
4	108	15
5	115	15
6	125	15
7	135	15
8	148	15
9	150	15
0	150	14