Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, D

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.6s (35.2%)

Memory

20.3MiB live, 1 207.3MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 1.1s (91.9% of total)

ival-sub: 39.0ms (3.2% of total)

ival-add: 38.0ms (3.1% of total)

exact: 12.0ms (1% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess122.0ms (1.6%)

Memory

-16.6MiB live, 178.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 544×	`lower-fma.f64`
1 544×	`lower-fma.f32`
624×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	50	24
2	154	22
3	498	18
4	1114	18
5	1432	18
6	1493	18
7	1500	18
8	1500	18
9	1504	18
0	10	13
0	16	13
1	37	11
2	71	11
3	158	9
4	273	9
5	377	9
6	589	9
7	934	9
8	1230	9
9	1303	9
10	1340	9
11	1346	9
12	1346	9
0	1346	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

explain138.0ms (1.9%)

Memory

-12.5MiB live, 311.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
-	-	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`(*.f64 x #s(literal 4 binary64))`
-	-	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
-	-	`x`
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

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

37.0ms

512×

valid

Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions

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

ival-mult: 12.0ms (67% of total)

ival-sub: 2.0ms (11.2% of total)

ival-add: 2.0ms (11.2% of total)

exact: 1.0ms (5.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify81.0ms (1.1%)

Memory

16.7MiB live, 133.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	128	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	cost-diff	448	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

Rules

1 544×	`lower-fma.f64`
1 544×	`lower-fma.f32`
624×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	37	42
2	71	42
3	158	40
4	273	40
5	377	40
6	589	40
7	934	40
8	1230	40
9	1303	40
10	1340	40
11	1346	40
12	1346	40
0	1346	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 x (.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize43.0ms (0.6%)

Memory

24.3MiB live, 59.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓	accuracy	99.9%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

33.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 23.0ms (89.5% of total)

ival-sub: 1.0ms (3.9% of total)

ival-add: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

-24.7MiB live, 10.0MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) x)>
#<alt (*.f64 x #s(literal 3 binary64))>

Outputs
#<alt (* -4 x)>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(- (* (* x 3) x) (* x 4))
1.0ms	x	@	inf	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	0	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	inf	(* (* x 3) x)
0.0ms	x	@	-inf	(+ (- (* (* x 3) x) (* x 4)) 1)

rewrite635.0ms (8.5%)

Memory

-9.3MiB live, 557.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 226×	`lower-fma.f64`
8 226×	`lower-fma.f32`
4 388×	`lower-*.f32`
4 380×	`lower-*.f64`
2 760×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	16	41
1	61	35
2	451	35
3	7371	35
0	8608	30

Stop Event

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

Counts

5 → 343

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -4 binary64)))
(+.f64 (.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 x #s(literal 4 binary64)))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -4 binary64)))
(fma.f64 x #s(literal -4 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) x (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 #s(literal 4 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 4 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
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(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal -1 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify251.0ms (3.4%)

Memory

-3.3MiB live, 319.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
2 456×	`lower-*.f64`
2 456×	`lower-*.f32`
1 484×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	344
1	137	344
2	323	344
3	753	344
4	1956	340
5	4214	340
6	5944	340
7	7664	340
0	8049	301

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* -4 x)
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
(* -4 x)
(*.f64 #s(literal -4 binary64) x)
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

eval48.0ms (0.6%)

Memory: 17.6MiB live, 129.5MiB allocated
Compiler: Compiled 12 895 to 1 137 computations (91.2% saved)

prune47.0ms (0.6%)

Memory

20.9MiB live, 146.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	395	8	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	396	8	404

Accuracy

100.0%

Counts

404 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
▶	99.9%	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
	53.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
▶	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
▶	48.9%	(.f64 (.f64 x x) #s(literal 9 binary64))
	49.3%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
▶	48.9%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
▶	52.6%	#s(literal 3 binary64)

Compiler

Compiled 114 to 80 computations (29.8% saved)

simplify9.0ms (0.1%)

Memory

-21.3MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	cost-diff	128	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	cost-diff	320	(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Rules

78×	`lower-fma.f32`
72×	`lower-fma.f64`
48×	`lower-*.f32`
36×	`lower-*.f64`
32×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
0	27	66
1	47	66
2	63	66
3	76	66
4	80	66
5	82	66
0	82	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(literal 3 binary64)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
#s(literal 3 binary64)
(.f64 x (.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
x
#s(literal -12 binary64)
(.f64 #s(literal 9 binary64) (.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
#s(literal 3 binary64)

Outputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(literal 3 binary64)
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 9 binary64)))
#s(literal 3 binary64)
(.f64 x (.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
#s(literal -12 binary64)
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 9 binary64)))
#s(literal 9 binary64)
(*.f64 x x)
#s(literal 3 binary64)

localize70.0ms (0.9%)

Memory

-6.7MiB live, 109.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Samples

27.0ms	229×	0	valid
21.0ms	11×	2	valid
3.0ms	16×	1	valid

Compiler

Compiled 80 to 19 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 14.0ms (68.3% of total)

ival-add: 5.0ms (24.4% of total)

adjust: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))>
#<alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))>
#<alt (.f64 (.f64 x x) #s(literal 9 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))>
#<alt (.f64 x (.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))>
#<alt (+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))>
#<alt (.f64 #s(literal 9 binary64) (.f64 x x))>

Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (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 x 2)>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x x) 9)
0.0ms	x	@	-inf	(+ (* x -12) (* 9 (* x x)))
0.0ms	x	@	inf	(+ (* x -12) (* 9 (* x x)))
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	inf	(* 3 (* x (* x 3)))

rewrite693.0ms (9.3%)

Memory

-29.8MiB live, 663.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 566×	`lower-fma.f32`
9 560×	`lower-fma.f64`
6 492×	`lower-*.f32`
6 480×	`lower-*.f64`
4 012×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	27	50
1	101	50
2	582	50
0	8236	50

Stop Event

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

Counts

10 → 402

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))

Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(+.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64))))
(+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (-.f64 (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) (-.f64 (.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))))
(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64)))))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64))))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) x) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x) #s(literal 3 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64))))) #s(literal 3 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 81 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 27 binary64)))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) x) (/.f64 (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))
(fma.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64) (.f64 x #s(literal -12 binary64)))
(neg.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64))) (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 9 binary64)) #s(literal 19683 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 729 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -27 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 81 binary64)) (.f64 x (.f64 (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))) (fma.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))))))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))))
(.f64 (fma.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 144 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))

simplify239.0ms (3.2%)

Memory

-1.1MiB live, 276.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
2 986×	`lower-*.f64`
2 986×	`lower-*.f32`
1 100×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	634
1	95	634
2	223	634
3	545	608
4	1442	608
5	3509	608
6	5250	608
7	6483	608
8	7554	608
0	8050	560

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (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 x 2)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(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)
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))

eval61.0ms (0.8%)

Memory: 26.1MiB live, 143.2MiB allocated
Compiler: Compiled 11 996 to 856 computations (92.9% saved)

prune40.0ms (0.5%)

Memory

4.6MiB live, 123.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	538	2	540
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	539	9	548

Accuracy

100.0%

Counts

548 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
▶	53.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	48.9%	(.f64 (.f64 x x) #s(literal 9 binary64))
▶	48.9%	(.f64 (.f64 x #s(literal 9 binary64)) x)
▶	48.8%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
▶	49.3%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	48.9%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	52.6%	#s(literal 3 binary64)

Compiler

Compiled 61 to 42 computations (31.1% saved)

simplify65.0ms (0.9%)

Memory

-25.9MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))

Rules

44×	`lower-*.f32`
34×	`lower-*.f64`
30×	`lower-fma.f32`
26×	`lower-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	19	40
1	37	40
2	45	40
3	46	40
0	46	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(.f64 (.f64 x #s(literal 9 binary64)) x)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
#s(literal -12 binary64)
#s(literal 3 binary64)

Outputs
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
#s(literal -12 binary64)
#s(literal 3 binary64)

localize38.0ms (0.5%)

Memory

29.9MiB live, 69.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	99.8%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))

Samples

17.0ms	212×	0	valid
4.0ms	29×	1	valid
3.0ms	15×	2	valid

Compiler

Compiled 47 to 14 computations (70.2% saved)

Precisions

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

ival-mult: 9.0ms (65.7% of total)

ival-add: 3.0ms (21.9% of total)

adjust: 1.0ms (7.3% of total)

exact: 1.0ms (7.3% of total)

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

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

series7.0ms (0.1%)

Memory

-26.0MiB live, 12.4MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))>
#<alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (.f64 (.f64 x #s(literal 9 binary64)) x)>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))>

Outputs
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (* x 3) (* x 3))
0.0ms	x	@	-inf	(* (* x 3) (* x 3))
0.0ms	x	@	inf	(* x (+ (* x 9) -12))
0.0ms	x	@	inf	(* (* x 9) x)
0.0ms	x	@	-inf	(* x (+ (* x 9) -12))

rewrite468.0ms (6.3%)

Memory

18.3MiB live, 659.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 516×	`lower-fma.f32`
10 512×	`lower-fma.f64`
4 494×	`lower-*.f32`
4 484×	`lower-*.f64`
4 238×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	19	30
1	65	30
2	328	30
3	2665	30
0	9088	30

Stop Event

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

Counts

7 → 369

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(*.f64 x #s(literal 9 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))

Outputs
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 x #s(literal -12 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (-.f64 (.f64 x #s(literal -12 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (-.f64 (.f64 x #s(literal -12 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)))))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal -12 binary64) x (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 3 binary64) (pow.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(fma.f64 (pow.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal -12 binary64))) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 (exp.f64 (log.f64 #s(literal -12 binary64))) (exp.f64 (log.f64 x)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x) (.f64 x (.f64 x #s(literal 144 binary64)))) (.f64 (.f64 x x) (.f64 x #s(literal -108 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 144 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x #s(literal -108 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x) (.f64 x (.f64 x #s(literal 144 binary64)))) (.f64 (.f64 x x) (.f64 x #s(literal -108 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64)))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x) (.f64 x (.f64 x #s(literal 144 binary64)))) (.f64 (.f64 x x) (.f64 x #s(literal -108 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))) (.f64 (/.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) (.f64 x (.f64 x #s(literal 144 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) (.f64 x (*.f64 x #s(literal 144 binary64)))) (/.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))))
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(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x #s(literal 144 binary64)))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64))))
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal 9 binary64))))
(/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (pow.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal -144 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -144 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 36 binary64) #s(literal 9 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2985984 binary64))))) (fma.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 144 binary64)))))))
(.f64 (/.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (.f64 x #s(literal -36 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -36 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal -27 binary64))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (fma.f64 x #s(literal -36 binary64) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -5159780352 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2985984 binary64)) #s(literal 729 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -46656 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2985984 binary64)) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1728 binary64) (.f64 x (*.f64 x x)) #s(literal -27 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2985984 binary64)) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1296 binary64) #s(literal 81 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) (fma.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal 9 binary64))))

simplify214.0ms (2.9%)

Memory

9.2MiB live, 368.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 022×	`lower-fma.f64`
5 022×	`lower-fma.f32`
3 408×	`lower-*.f64`
3 408×	`lower-*.f32`
1 924×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	372
1	73	372
2	164	372
3	387	372
4	850	372
5	1472	372
6	4304	372
7	6966	372
0	8119	345

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))

Outputs
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))

eval126.0ms (1.7%)

Memory: 1.8MiB live, 110.2MiB allocated
Compiler: Compiled 9 784 to 1 115 computations (88.6% saved)

prune84.0ms (1.1%)

Memory

11.4MiB live, 91.6MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	474	1	475
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	474	10	484

Accuracy

100.0%

Counts

484 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
✓	53.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	48.9%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	48.9%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	48.8%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	49.3%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
▶	3.7%	(*.f64 x #s(literal -12 binary64))
✓	48.9%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	52.6%	#s(literal 3 binary64)

Compiler

Compiled 65 to 45 computations (30.8% saved)

simplify7.0ms (0.1%)

Memory

-33.7MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal -12 binary64))

Rules

4×	`lower-*.f32`
2×	`*-commutative`
2×	`lower-*.f64`
2×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x #s(literal -12 binary64))
x
#s(literal -12 binary64)

Outputs
(*.f64 x #s(literal -12 binary64))
x
#s(literal -12 binary64)

localize10.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -12 binary64))

Samples

6.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

ival-mult: 2.0ms (96.2% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal -12 binary64))>

Outputs
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x -12)
0.0ms	x	@	-inf	(* x -12)
0.0ms	x	@	0	(* x -12)

rewrite9.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`lower-*.f32`
2×	`lower-*.f64`
2×	`*-commutative`
2×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	3
1	5	3
0	5	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -12 binary64))

Outputs
(*.f64 x #s(literal -12 binary64))
(*.f64 #s(literal -12 binary64) x)

simplify3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`lower-*.f64`
4×	`lower-*.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)

Outputs
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)

eval1.0ms (0%)

Memory: 2.6MiB live, 2.6MiB allocated
Compiler: Compiled 43 to 4 computations (90.7% saved)

prune105.0ms (1.4%)

Memory

-27.9MiB live, 11.3MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	14	10	24

Accuracy

100.0%

Counts

24 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
✓	53.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	48.9%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	48.9%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	48.8%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	49.3%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	3.7%	(*.f64 x #s(literal -12 binary64))
✓	48.9%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	52.6%	#s(literal 3 binary64)

Compiler

Compiled 143 to 75 computations (47.6% saved)

regimes16.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Calls

4 calls:

4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
4.0ms	x
3.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
3.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes83.0ms (1.1%)

Memory

-19.4MiB live, 21.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))

Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))

Calls

4 calls:

75.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.6%	3	`x`
98.6%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
98.6%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.6%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))

Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))

Calls

3 calls:

2.0ms

(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

2.0ms

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

2.0ms

(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
97.9%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
97.9%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.9%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)

Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)

Calls

3 calls:

2.0ms

(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

2.0ms

(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

2.0ms

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.9%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
97.9%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.9%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes28.0ms (0.4%)

Memory

-23.9MiB live, 14.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))

Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))

Calls

4 calls:

23.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
53.0%	1	`x`
53.0%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
53.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
53.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Accuracy

Total -31.7b remaining (-104.3%)

Threshold costs -31.7b (-104.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))

Outputs
#s(literal 3 binary64)

Calls

4 calls:

1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	x
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
52.6%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
52.6%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.39830888275277e-6	30.908808848997985

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.39830888275277e-6	30.908808848997985

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.39830888275277e-6	30.908808848997985

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	76
1	34	76
2	46	76
3	52	76
4	56	76
5	57	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 9 binary64)) x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 9 binary64)) x))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)

soundness967.0ms (13%)

Memory

-48.2MiB live, 300.5MiB allocated

Rules

9 566×	`lower-fma.f32`
9 560×	`lower-fma.f64`
6 492×	`lower-*.f32`
6 480×	`lower-*.f64`
6 316×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	27	50
1	101	50
2	582	50
0	8236	50
0	51	344
1	137	344
2	323	344
3	753	344
4	1956	340
5	4214	340
6	5944	340
7	7664	340
0	8049	301

Stop Event

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

Compiler

Compiled 125 to 58 computations (53.6% saved)

preprocess46.0ms (0.6%)

Memory: 2.8MiB live, 119.6MiB allocated
Compiler: Compiled 206 to 82 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample2.6s (35.2%)

preprocess122.0ms (1.6%)

explain138.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify81.0ms (1.1%)

localize43.0ms (0.6%)

series34.0ms (0.5%)

rewrite635.0ms (8.5%)

simplify251.0ms (3.4%)

eval48.0ms (0.6%)

prune47.0ms (0.6%)

simplify9.0ms (0.1%)

localize70.0ms (0.9%)

series9.0ms (0.1%)

rewrite693.0ms (9.3%)

simplify239.0ms (3.2%)

eval61.0ms (0.8%)

prune40.0ms (0.5%)

simplify65.0ms (0.9%)

localize38.0ms (0.5%)

series7.0ms (0.1%)

rewrite468.0ms (6.3%)

simplify214.0ms (2.9%)

eval126.0ms (1.7%)

prune84.0ms (1.1%)

simplify7.0ms (0.1%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite9.0ms (0.1%)

simplify3.0ms (0%)

eval1.0ms (0%)

prune105.0ms (1.4%)

regimes16.0ms (0.2%)

regimes83.0ms (1.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes28.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness967.0ms (13%)

preprocess46.0ms (0.6%)

end0.0ms (0%)

Profiling