Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 13 to 10 computations (23.1% saved)

sample742.0ms (14.5%)

Memory

10.7MiB live, 1 300.7MiB allocated

Samples

466.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult: 197.0ms (65.9% of total)

ival-add: 90.0ms (30.1% of total)

ival-true: 5.0ms (1.7% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess38.0ms (0.7%)

Memory

3.4MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Rules

266×	`sub-neg`
198×	`unsub-neg`
146×	`cancel-sign-sub-inv`
142×	`associate-+l-`
136×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	68	49
2	215	46
3	578	45
4	1132	45
5	1396	45
6	1445	45
0	8	11
0	13	9
1	20	9
2	30	9
3	32	9
0	32	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

explain268.0ms (5.2%)

Memory

13.1MiB live, 175.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
-	-	`(*.f64 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 90 to 36 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (62.3% of total)

ival-add: 4.0ms (27.7% of total)

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

exact: 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify9.0ms (0.2%)

Memory

-34.0MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	cost-diff	320	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Rules

28×	`lower-fma.f64`
28×	`lower-fma.f32`
28×	`lower-+.f32`
24×	`lower-+.f64`
12×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	26
1	20	26
2	30	26
3	32	26
0	32	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

0.1MiB live, 38.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

14.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (71.9% of total)

ival-add: 2.0ms (28.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))>
#<alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 y y)>

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

Calls

18 calls:

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

rewrite343.0ms (6.7%)

Memory

-10.1MiB live, 492.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 744×	`lower-fma.f64`
6 744×	`lower-fma.f32`
4 716×	`lower-*.f32`
4 710×	`lower-*.f64`
2 642×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	47	23
2	406	23
3	6148	23
0	8102	22

Stop Event

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

Counts

5 → 219

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x x) (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x) (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 4 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 x (+.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x x) #s(literal 4 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(neg.f64 (neg.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (neg.f64 y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (fma.f64 y (neg.f64 y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (-.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64))))))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 y y)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (fma.f64 x (.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (fma.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (.f64 x #s(literal 2 binary64))))) (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y)) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (*.f64 y y))))))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (*.f64 y y)))))))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (*.f64 y y)))))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (neg.f64 (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (neg.f64 y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(.f64 (fma.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (*.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (*.f64 y y)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))
(.f64 (/.f64 (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))))) (fma.f64 x (.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))))))
(.f64 (/.f64 (fma.f64 x (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))))) (-.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (neg.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 x (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 y y) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(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)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify274.0ms (5.3%)

Memory

19.3MiB live, 415.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
3 308×	`lower-*.f64`
3 308×	`lower-*.f32`
1 722×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	334
1	101	334
2	272	334
3	917	334
4	2774	334
5	4851	334
6	7645	334
0	8375	318

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval109.0ms (2.1%)

Memory: -30.9MiB live, 47.8MiB allocated
Compiler: Compiled 8 831 to 667 computations (92.4% saved)

prune32.0ms (0.6%)

Memory

0.6MiB live, 76.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	286	5	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	5	292

Accuracy

100.0%

Counts

292 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
▶	62.5%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
▶	46.6%	(*.f64 y y)
▶	64.4%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	48.7%	(*.f64 x x)

Compiler

Compiled 72 to 44 computations (38.9% saved)

simplify6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
✓	cost-diff	192	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))

Rules

28×	`lower-fma.f32`
28×	`lower-+.f32`
26×	`lower-+.f64`
22×	`lower-fma.f64`
12×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
0	19	51
1	28	51
2	33	51
3	35	51
0	35	50

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.8%)

Memory

22.0MiB live, 64.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)

Samples

24.0ms

256×

valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 7.0ms (48.3% of total)

ival-mult: 7.0ms (48.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-29.7MiB live, 7.5MiB allocated

Counts

7 → 120

Calls

Call 1

Inputs
#<alt (fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))>
#<alt (fma.f64 x #s(literal 2 binary64) (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (*.f64 x x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt (fma.f64 #s(literal 2 binary64) x (*.f64 y y))>

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

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* x (+ 2 x))
0.0ms	x	@	0	(* x (+ 2 x))
0.0ms	x	@	inf	(* x (+ 2 x))
0.0ms	x	@	0	(+ (* x 2) (* y y))
0.0ms	x	@	-inf	(+ 2 x)

rewrite387.0ms (7.5%)

Memory

23.1MiB live, 536.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 826×	`lower-fma.f32`
6 820×	`lower-fma.f64`
4 386×	`lower-*.f32`
4 380×	`lower-*.f64`
3 118×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	19	35
1	81	35
2	516	35
3	6996	35
0	8232	34

Stop Event

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

Counts

7 → 370

Calls

Call 1

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

Outputs
(+.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x))
(+.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))
(+.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 x x (.f64 y y)))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y)))))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 x x)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))
(-.f64 (fma.f64 x x (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 y y)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x x (*.f64 y y)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (*.f64 x x))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 y y)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 y y)))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) x) (*.f64 y y))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (/.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 y y))
(fma.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (*.f64 x x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))) (.f64 x x))
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(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (.f64 y y)))) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64) (.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64) (.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 x (.f64 x #s(literal 4 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) y) y)))

simplify296.0ms (5.8%)

Memory

-0.7MiB live, 413.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
3 084×	`lower-*.f64`
3 084×	`lower-*.f32`
2 114×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	664
1	132	664
2	353	616
3	1253	616
4	3427	616
5	7423	616
0	8335	564

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

eval101.0ms (2%)

Memory: -1.5MiB live, 110.0MiB allocated
Compiler: Compiled 13 792 to 865 computations (93.7% saved)

prune53.0ms (1%)

Memory

-6.0MiB live, 116.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	522	2	524
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	523	6	529

Accuracy

100.0%

Counts

529 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	62.5%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	46.6%	(*.f64 y y)
✓	64.4%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	48.7%	(*.f64 x x)
▶	18.1%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	192	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))

Rules

10×	`lower-*.f32`
8×	`lower-*.f64`
8×	`lower-+.f64`
8×	`lower-+.f32`
6×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	16
0	7	15
1	11	15
2	14	15
0	14	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

6.5MiB live, 44.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-mult: 3.0ms (63.2% of total)

ival-add: 1.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (fma.f64 x x (*.f64 x #s(literal 2 binary64)))>

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

Calls

6 calls:

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

rewrite460.0ms (9%)

Memory

-21.2MiB live, 694.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 300×	`lower-fma.f32`
9 298×	`lower-fma.f64`
4 346×	`lower-/.f64`
4 346×	`lower-/.f32`
3 872×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	7	8
1	25	8
2	189	8
3	1854	8
0	8145	8

Stop Event

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

Counts

2 → 203

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (.f64 x (+.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (*.f64 x x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))))) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -8 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 4 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (fma.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))))) (/.f64 (.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (fma.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 x x) (/.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))) (/.f64 (.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))) (fma.f64 (.f64 x x) (/.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 (.f64 x x) (/.f64 x (+.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 x (+.f64 x #s(literal -2 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (+.f64 x #s(literal -2 binary64))))) (neg.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64)))) (.f64 x (+.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x)))) (neg.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x (*.f64 x x))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64)))) (neg.f64 (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) #s(literal 512 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) #s(literal 512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))) (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64))) (.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x))) #s(literal 512 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -8 binary64)))) #s(literal 1 binary64))))
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(.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(.f64 (/.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) x) (/.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (+.f64 x #s(literal -2 binary64))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))))) (.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (fma.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -2 binary64)))) (.f64 (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))))
(.f64 (.f64 x (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal -2 binary64)))))
(.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) #s(literal 512 binary64))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64))) (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64)))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 4 binary64)))))
(.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal -2 binary64)))))
(.f64 (.f64 (fma.f64 x x #s(literal -4 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64)))) (.f64 x (+.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64)))) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x)))))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 x (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 x (+.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64))) (.f64 (.f64 x x) (fma.f64 x x #s(literal -4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))))

simplify320.0ms (6.2%)

Memory

-5.1MiB live, 328.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 816×	`lower-fma.f64`
4 816×	`lower-fma.f32`
3 854×	`lower-*.f64`
3 854×	`lower-*.f32`
1 732×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	90
1	30	90
2	58	90
3	105	90
4	154	90
5	263	90
6	2249	90
7	3092	90
8	3952	90
9	5872	90
10	6466	90
11	7243	90
12	7520	90
13	7715	90
14	7858	90
0	8018	90

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

eval26.0ms (0.5%)

Memory: 18.1MiB live, 56.3MiB allocated
Compiler: Compiled 8 392 to 568 computations (93.2% saved)

prune70.0ms (1.4%)

Memory

-15.5MiB live, 64.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	246	6	252

Accuracy

100.0%

Counts

252 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.4%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	62.5%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	46.6%	(*.f64 y y)
✓	64.4%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	48.7%	(*.f64 x x)
✓	18.1%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 86 to 39 computations (54.7% saved)

regimes111.0ms (2.2%)

Memory

-2.7MiB live, 36.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

98.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes44.0ms (0.9%)

Memory

-8.6MiB live, 29.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
93.6%	3	`x`
87.2%	2	`y`
70.1%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
93.0%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
87.2%	2	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes9.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
86.4%	2	`y`
86.4%	2	`(*.f64 y y)`
79.7%	3	`x`
78.5%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
77.4%	3	`x`
77.1%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
71.2%	2	`y`
71.2%	2	`(*.f64 y y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes18.0ms (0.4%)

Memory

-15.8MiB live, 19.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
63.1%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
48.7%	1	`y`
48.7%	1	`(*.f64 y y)`
63.0%	3	`x`
63.0%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
18.1%	1	`y`
18.1%	1	`(*.f64 y y)`
18.1%	1	`x`
18.1%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
18.1%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.633762696215858e-6	1871.0642780315627

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch109.0ms (2.1%)

Memory

-18.5MiB live, 23.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
108.0ms	2.7311268277884437e-94	7.535050636563006e-91

Samples

5.0ms

128×

valid

Compiler

Compiled 112 to 85 computations (24.1% saved)

Precisions

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

ival-mult: 2.0ms (69.2% of total)

ival-add: 1.0ms (34.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.633762696215858e-6	1871.0642780315627

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.130011976858866e-5	1871.0642780315627

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify7.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	83
1	28	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (.f64 x (+.f64 #s(literal 2 binary64) x)))
(if (<=.f64 (.f64 y y) #s(literal 2981548200787093/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (.f64 y y) (.f64 x x))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 5902958103587057/147573952589676412928 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))

Outputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (.f64 x (+.f64 #s(literal 2 binary64) x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 y y)) (.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 2981548200787093/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 2981548200787093/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (.f64 y y) (.f64 x x))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 5902958103587057/147573952589676412928 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x))
(if (<=.f64 (+.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))) #s(literal 5902958103587057/147573952589676412928 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))

soundness1.1s (21.6%)

Memory

-38.9MiB live, 368.3MiB allocated

Rules

9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
6 744×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	664
1	132	664
2	353	616
3	1253	616
4	3427	616
5	7423	616
0	8335	564
0	36	334
1	101	334
2	272	334
3	917	334
4	2774	334
5	4851	334
6	7645	334
0	8375	318
0	8	27
0	13	23
1	47	23
2	406	23
3	6148	23
0	8102	22

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

Compiler

Compiled 162 to 74 computations (54.3% saved)

preprocess78.0ms (1.5%)

Memory: 12.6MiB live, 93.6MiB allocated
Remove: (abs y)
Compiler: Compiled 244 to 90 computations (63.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample742.0ms (14.5%)

preprocess38.0ms (0.7%)

explain268.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.2%)

localize25.0ms (0.5%)

series4.0ms (0.1%)

rewrite343.0ms (6.7%)

simplify274.0ms (5.3%)

eval109.0ms (2.1%)

prune32.0ms (0.6%)

simplify6.0ms (0.1%)

localize39.0ms (0.8%)

series8.0ms (0.2%)

rewrite387.0ms (7.5%)

simplify296.0ms (5.8%)

eval101.0ms (2%)

prune53.0ms (1%)

simplify5.0ms (0.1%)

localize20.0ms (0.4%)

series0.0ms (0%)

rewrite460.0ms (9%)

simplify320.0ms (6.2%)

eval26.0ms (0.5%)

prune70.0ms (1.4%)

regimes111.0ms (2.2%)

regimes44.0ms (0.9%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes18.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch109.0ms (2.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.1s (21.6%)

preprocess78.0ms (1.5%)

end0.0ms (0%)

Profiling