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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.3s (18.4%)

Memory

5.5MiB live, 1 149.6MiB allocated

Samples

915.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 542.0ms

ival-mult: 346.0ms (63.9% of total)

ival-sub: 98.0ms (18.1% of total)

ival-add: 77.0ms (14.2% of total)

exact: 11.0ms (2% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess134.0ms (1.9%)

Memory

5.6MiB live, 164.5MiB 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))

explain130.0ms (1.8%)

Memory

-36.4MiB live, 347.8MiB 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

44.0ms

512×

valid

Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions

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

ival-mult: 14.0ms (68.4% of total)

ival-sub: 3.0ms (14.7% of total)

ival-add: 2.0ms (9.8% of total)

exact: 1.0ms (4.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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)

simplify78.0ms (1.1%)

Memory

29.5MiB live, 107.4MiB 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)

localize33.0ms (0.5%)

Memory

-16.9MiB live, 56.9MiB 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

21.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 6.0ms (67.6% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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
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)
0.0ms	x	@	0	(* (* x 3) x)

rewrite435.0ms (6.1%)

Memory

0.4MiB live, 562.4MiB 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)

simplify207.0ms (2.9%)

Memory

-3.9MiB live, 265.9MiB 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))

eval51.0ms (0.7%)

Memory: 24.4MiB live, 64.0MiB allocated
Compiler: Compiled 12 895 to 1 137 computations (91.2% saved)

prune77.0ms (1.1%)

Memory

-1.9MiB live, 111.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	394	9	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	395	9	404

Accuracy

100.0%

Counts

404 → 9

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))
	53.5%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
▶	49.2%	(.f64 (.f64 x x) #s(literal 9 binary64))
▶	49.1%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
	53.5%	(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
	49.1%	(.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
▶	49.2%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
▶	53.1%	#s(literal 3 binary64)

Compiler

Compiled 124 to 88 computations (29% saved)

simplify15.0ms (0.2%)

Memory

-33.1MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

150×	`lower-fma.f32`
144×	`lower-fma.f64`
84×	`lower-*.f32`
72×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	25	58
1	50	57
2	88	57
3	109	57
4	125	57
5	127	57
0	127	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.7%)

Memory

21.3MiB live, 97.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	99.7%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 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 3 binary64) #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	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))

Samples

22.0ms	207×	0	valid
6.0ms	20×	2	valid
5.0ms	29×	1	valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (65.7% of total)

ival-add: 5.0ms (23.5% of total)

adjust: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))>
#<alt (.f64 (.f64 x x) #s(literal 9 binary64))>
#<alt (*.f64 x x)>
#<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 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))>
#<alt (.f64 x (.f64 x #s(literal 3 binary64)))>

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 (* 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 -4>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<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 (* -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 (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))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (* x x) 9)
0.0ms	x	@	inf	(* (* x x) 9)
0.0ms	x	@	0	(* x (+ (* x 9) -12))
0.0ms	x	@	inf	(* x (+ (* x 9) -12))
0.0ms	x	@	inf	(+ (* (* x 3) (+ (* x 3) -4)) 3)

rewrite395.0ms (5.6%)

Memory

5.9MiB live, 599.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 684×	`lower-fma.f32`
7 678×	`lower-fma.f64`
4 494×	`lower-*.f32`
4 482×	`lower-*.f64`
2 458×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	25	44
1	91	43
2	565	43
3	6219	43
0	8083	42

Stop Event

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

Counts

9 → 402

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3 binary64) (*.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))) #s(literal 3 binary64))
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #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 (.f64 (.f64 x x) (/.f64 (*.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 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))
(+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(exp.f64 (*.f64 (log.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 (.f64 (.f64 x x) (/.f64 (*.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 (.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 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 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)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (/.f64 (.f64 (.f64 x (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)))))
(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 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 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 #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #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))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 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))) (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 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (/.f64 (.f64 (.f64 x #s(literal 3 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))) (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 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.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)))))
(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 (.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 (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)))))
(fma.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))) (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (/.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 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 x (.f64 (*.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 #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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64))) x) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (/.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -16 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -16 binary64)) (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 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 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 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 (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 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 144 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -108 binary64))))) #s(literal 3 binary64))
(fma.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 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal 9 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 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x x)) (/.f64 (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)))))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 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 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (/.f64 (*.f64 x #s(literal 3 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 x #s(literal -4 binary64)) #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 #s(literal -192 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 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) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 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 (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 #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 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)))
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 (.f64 x 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)) (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 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -12 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))) (fma.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 9 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)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) #s(literal -192 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 144 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64)))
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(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
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(.f64 (-.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal -192 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 x #s(literal -108 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (*.f64 x #s(literal -108 binary64))))
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(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 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.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)))
(.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))

simplify233.0ms (3.3%)

Memory

-6.6MiB live, 303.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 536×	`lower-fma.f64`
6 536×	`lower-fma.f32`
2 538×	`lower-*.f64`
2 538×	`lower-*.f32`
1 202×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	538
1	119	538
2	286	538
3	680	516
4	1664	516
5	3888	516
6	5862	516
7	7150	516
0	8055	474

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* 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)
(* -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 (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))

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

eval99.0ms (1.4%)

Memory: 23.8MiB live, 138.0MiB allocated
Compiler: Compiled 10 540 to 1 061 computations (89.9% saved)

prune60.0ms (0.8%)

Memory

-44.6MiB live, 141.3MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	519	5	524
Fresh	2	2	4
Picked	0	5	5
Done	0	0	0
Total	521	12	533

Accuracy

100.0%

Counts

533 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
	49.2%	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
✓	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))
▶	53.5%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
	49.1%	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
✓	49.2%	(.f64 (.f64 x x) #s(literal 9 binary64))
▶	49.2%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	49.1%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
▶	3.6%	(*.f64 x #s(literal -12 binary64))
▶	53.5%	(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
✓	49.2%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	53.1%	#s(literal 3 binary64)

Compiler

Compiled 139 to 100 computations (28.1% saved)

simplify8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	cost-diff	0	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -12 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))

Rules

76×	`lower-fma.f32`
68×	`lower-fma.f64`
42×	`lower-*.f32`
34×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	24	49
1	43	49
2	56	49
3	63	49
4	65	49
0	65	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (1.9%)

Memory

-10.0MiB live, 101.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	accuracy	100.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -12 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

91.0ms	224×	0	valid
4.0ms	18×	1	valid
3.0ms	12×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 53 to 18 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 80.0ms (91.7% of total)

ival-add: 5.0ms (5.7% of total)

adjust: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series4.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

8 → 96

Calls

Call 1

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

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 (* -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)>
#<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)))))>
#<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)))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* -4 x))>
#<alt (* -4 x)>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* -4 x)>
#<alt (* -1 (* x (- 4 (/ 1 x))))>
#<alt (* -1 (* x (- 4 (/ 1 x))))>
#<alt (* -1 (* x (- 4 (/ 1 x))))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x -12)
0.0ms	x	@	-inf	(* x -12)
0.0ms	x	@	-inf	(* x 9)
0.0ms	x	@	0	(* 3 (+ (* -4 x) 1))
0.0ms	x	@	inf	(* 3 (+ (* -4 x) 1))

rewrite435.0ms (6.2%)

Memory

18.3MiB live, 693.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 110×	`lower-fma.f32`
8 102×	`lower-fma.f64`
5 694×	`lower-*.f32`
5 686×	`lower-*.f64`
2 462×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
0	24	34
1	92	34
2	595	34
3	5686	34
0	9063	34

Stop Event

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

Counts

8 → 504

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 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 #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 9 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 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.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))) (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 (.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
(exp.f64 (*.f64 (log.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 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.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 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 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (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))))))
(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)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 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))) (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 #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 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (/.f64 (.f64 x (.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))) (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 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal -12 binary64)) #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.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))) (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 x #s(literal -4 binary64)) #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal -4 binary64)) (exp.f64 (log.f64 #s(literal 3 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (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 (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 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64))) x) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (/.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64))) #s(literal 3 binary64))
(fma.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 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #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 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.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 x (*.f64 x #s(literal 9 binary64))))
(fma.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 x (*.f64 x #s(literal 9 binary64))))
(fma.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 x (*.f64 x #s(literal 9 binary64))))
(fma.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 x (*.f64 x #s(literal 9 binary64))))
(fma.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 x (*.f64 x #s(literal 9 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 x) (/.f64 (.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)))))
(fma.f64 (.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 x) (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 x (.f64 x (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 (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 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 (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 (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 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 #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #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 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64))) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.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 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (fma.f64 (fma.f64 x #s(literal 108 binary64) #s(literal 144 binary64)) (.f64 (fma.f64 x #s(literal 108 binary64) #s(literal 144 binary64)) (fma.f64 x #s(literal 108 binary64) #s(literal 144 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) (fma.f64 (fma.f64 x #s(literal 108 binary64) #s(literal 144 binary64)) (-.f64 (fma.f64 x #s(literal 108 binary64) #s(literal 144 binary64)) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)) #s(literal 144 binary64)) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (.f64 x #s(literal -108 binary64))))) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (*.f64 x #s(literal -108 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -108 binary64) #s(literal 144 binary64))) #s(literal 3 binary64))
(fma.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 (fma.f64 x #s(literal 36 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 9 binary64)) (.f64 #s(literal 144 binary64) (.f64 x x))) (.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.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 x (.f64 x #s(literal 9 binary64))))
(fma.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 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))))) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 16 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256 binary64))) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal -4 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal -4 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
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(*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (*.f64 x x)))) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))))) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 16 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal -4 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (fma.f64 x (fma.f64 x #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))

simplify633.0ms (8.9%)

Memory

24.8MiB live, 373.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 740×	`lower-fma.f64`
6 740×	`lower-fma.f32`
2 810×	`lower-*.f64`
2 810×	`lower-*.f32`
1 488×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	428
1	121	428
2	302	424
3	757	424
4	1500	424
5	2939	424
6	4570	424
7	5888	424
8	7116	424
9	7921	424
0	8042	373

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 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)))))
(* 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)))))
1
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(* -4 x)
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* -4 x)
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 4 (/ 1 x))))

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

eval76.0ms (1.1%)

Memory: -21.6MiB live, 215.7MiB allocated
Compiler: Compiled 12 151 to 1 084 computations (91.1% saved)

prune64.0ms (0.9%)

Memory

-16.6MiB live, 147.3MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	600	0	600
Fresh	0	2	2
Picked	0	5	5
Done	0	5	5
Total	600	12	612

Accuracy

100.0%

Counts

612 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
▶	49.2%	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
✓	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))
✓	53.5%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
▶	49.1%	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
✓	49.2%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	49.2%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	49.1%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	3.6%	(*.f64 x #s(literal -12 binary64))
✓	53.5%	(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
✓	49.2%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	53.1%	#s(literal 3 binary64)

Compiler

Compiled 86 to 61 computations (29.1% saved)

simplify10.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal -12 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
✓	cost-diff	0	(/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))

Rules

138×	`lower-*.f32`
132×	`lower-*.f64`
92×	`lower-fma.f32`
86×	`lower-fma.f64`
46×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
0	23	54
1	36	53
2	54	53
3	85	53
4	117	53
5	129	53
6	136	53
0	136	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(*.f64 x x)
x
#s(literal 81 binary64)
#s(literal -144 binary64)
(/.f64 x (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 12 binary64)
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 x #s(literal -12 binary64))
#s(literal -12 binary64)

Outputs
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 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)))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(*.f64 x x)
x
#s(literal 81 binary64)
#s(literal -144 binary64)
(/.f64 x (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 12 binary64)
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 x #s(literal -12 binary64))
#s(literal -12 binary64)

localize106.0ms (1.5%)

Memory

-5.0MiB live, 71.0MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -12 binary64))
✓	accuracy	99.8%	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
✓	accuracy	99.7%	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
✓	accuracy	99.7%	(/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))

Samples

20.0ms	213×	0	valid
6.0ms	23×	2	valid
3.0ms	20×	1	valid

Compiler

Compiled 56 to 18 computations (67.9% saved)

Precisions

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

ival-mult: 10.0ms (54.4% of total)

ival-add: 4.0ms (21.8% of total)

ival-div: 2.0ms (10.9% of total)

adjust: 1.0ms (5.4% of total)

exact: 1.0ms (5.4% of total)

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

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

series4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))>
#<alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))>
#<alt (*.f64 x #s(literal -12 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 -144>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (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 (* 1/12 x)>
#<alt (* x (+ 1/12 (* -1/16 x)))>
#<alt (* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))>
#<alt (* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))>
#<alt 1/9>
#<alt (- 1/9 (* 4/27 (/ 1 x)))>
#<alt (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))>
#<alt (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))>
#<alt 1/9>
#<alt (- 1/9 (* 4/27 (/ 1 x)))>
#<alt (+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))>
#<alt (+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) 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 (* -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

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (+ (* (* x x) 81) -144) (/ x (+ (* x 9) 12)))
1.0ms	x	@	inf	(* (+ (* (* x x) 81) -144) (/ x (+ (* x 9) 12)))
0.0ms	x	@	-inf	(* (+ (* (* x x) 81) -144) (/ x (+ (* x 9) 12)))
0.0ms	x	@	inf	(/ x (+ (* x 9) 12))
0.0ms	x	@	-inf	(/ x (+ (* x 9) 12))

rewrite681.0ms (9.6%)

Memory

20.5MiB live, 541.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 900×	`lower-fma.f32`
7 894×	`lower-fma.f64`
5 180×	`lower-*.f32`
5 174×	`lower-*.f64`
3 178×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	23	44
1	87	44
2	657	32
3	7351	32
0	8044	30

Stop Event

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

Counts

6 → 751

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(*.f64 x x)
(/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(*.f64 x #s(literal -12 binary64))

Outputs
(+.f64 (.f64 x #s(literal -12 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(+.f64 (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (fma.f64 x #s(literal -108 binary64) #s(literal 144 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (fma.f64 x #s(literal -108 binary64) #s(literal 144 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (.f64 x #s(literal 9 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) #s(literal -12 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64)))) (.f64 (fma.f64 x #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 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64)))))
(+.f64 (.f64 (fma.f64 x #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 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 9 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)))) (.f64 #s(literal -12 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.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 (.f64 x x) (*.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) x)) (/.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) x)))
(-.f64 (/.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 x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64)))))
(fma.f64 x #s(literal -12 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal -12 binary64)))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal -144 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 x (.f64 (.f64 x #s(literal 81 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 81 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 #s(literal 81 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal -144 binary64) (/.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 x (.f64 x #s(literal 81 binary64))) (*.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 #s(literal -12 binary64) x (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (.f64 #s(literal -12 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)))))
(fma.f64 (.f64 x #s(literal 9 binary64)) (.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 #s(literal 9 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))) #s(literal -144 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (*.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (.f64 (fma.f64 x #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 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 (fma.f64 x #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 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (.f64 x #s(literal 81 binary64)) (.f64 x (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (.f64 #s(literal -144 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 x #s(literal -144 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 81 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 9 binary64))) (/.f64 (.f64 x #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
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(.f64 (/.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -20736 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 2985984 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal -11664 binary64)) #s(literal 20736 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))))))) (fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 x (.f64 x #s(literal 144 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -108 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -108 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x #s(literal -108 binary64) #s(literal 144 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 81 binary64))))))
(*.f64 x #s(literal -12 binary64))
(*.f64 #s(literal -12 binary64) x)

simplify258.0ms (3.6%)

Memory

-29.8MiB live, 464.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 404×	`lower-fma.f64`
7 404×	`lower-fma.f32`
3 006×	`lower-*.f64`
3 006×	`lower-*.f32`
1 436×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	402
1	203	402
2	411	394
3	839	390
4	2110	390
5	3988	390
6	5580	390
7	7938	390
0	8062	357

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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))))
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (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)
(* 1/12 x)
(* x (+ 1/12 (* -1/16 x)))
(* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))
(* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))
1/9
(- 1/9 (* 4/27 (/ 1 x)))
(- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))
(- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))
1/9
(- 1/9 (* 4/27 (/ 1 x)))
(+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))
(+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) 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))))
(* -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)
(* 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)))
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 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)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* -1/16 x)))
(*.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 3/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/256 binary64) #s(literal 3/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/12 binary64)))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 4/27 (/ 1 x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x))
(- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x))
(- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 4/27 (/ 1 x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x))
(+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x))
(+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x))
(* -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 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)

eval145.0ms (2%)

Memory: 20.8MiB live, 170.1MiB allocated
Compiler: Compiled 23 692 to 1 245 computations (94.7% saved)

prune67.0ms (0.9%)

Memory

3.5MiB live, 122.9MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	840	1	841
Fresh	0	0	0
Picked	1	1	2
Done	0	10	10
Total	841	12	853

Accuracy

100.0%

Counts

853 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
✓	49.2%	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
✓	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))
✓	53.5%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
	47.7%	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(literal 1/9 binary64))
✓	49.2%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	49.2%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	49.1%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	3.6%	(*.f64 x #s(literal -12 binary64))
✓	53.5%	(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
✓	49.2%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
✓	53.1%	#s(literal 3 binary64)

Compiler

Compiled 192 to 99 computations (48.4% saved)

regimes23.0ms (0.3%)

Memory

-25.5MiB live, 49.2MiB allocated

Counts

16 → 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 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(literal 1/9 binary64))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 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 #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 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))

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

Calls

4 calls:

7.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
5.0ms	x
4.0ms	(.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)))
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
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)

regimes19.0ms (0.3%)

Memory

3.1MiB live, 47.3MiB allocated

Counts

13 → 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 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(literal 1/9 binary64))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))

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

Calls

4 calls:

6.0ms	x
4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
4.0ms	(.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)))
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
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)

regimes11.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

7 → 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 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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:

3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	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
99.0%	3	`x`
99.0%	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)))`
99.0%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.0%	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)

regimes8.0ms (0.1%)

Memory

-21.8MiB live, 17.5MiB 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 #s(literal 3 binary64) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))

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

Calls

3 calls:

3.0ms

(-.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
98.8%	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)))`
98.8%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.8%	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

14.7MiB live, 14.7MiB 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 #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
98.8%	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)))`
98.8%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.8%	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)

regimes8.0ms (0.1%)

Memory

-21.8MiB live, 17.5MiB 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:

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 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))

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	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)))`
53.5%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
53.5%	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

16.2MiB live, 16.2MiB allocated

Accuracy

Total -32.1b remaining (-106.9%)

Threshold costs -32.1b (-106.9%)

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
53.1%	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)))`
53.1%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
53.1%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
53.1%	1	`x`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5412591466668054e-7	337778.91473478545

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	2.5412591466668054e-7	337778.91473478545

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	2.5412591466668054e-7	337778.91473478545

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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	25	85
1	37	85
2	49	85
3	55	85
4	59	85
5	60	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(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 4722366482869645/9444732965739290427392 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 4722366482869645/9444732965739290427392 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 4722366482869645/9444732965739290427392 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 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(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 4722366482869645/9444732965739290427392 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 4722366482869645/9444732965739290427392 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 4722366482869645/9444732965739290427392 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 4722366482869645/9444732965739290427392 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 4722366482869645/9444732965739290427392 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 4722366482869645/9444732965739290427392 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)

soundness1000.0ms (14.1%)

Memory

-14.5MiB live, 531.0MiB allocated

Rules

8 226×	`lower-fma.f64`
8 226×	`lower-fma.f32`
7 684×	`lower-fma.f32`
7 678×	`lower-fma.f64`
6 316×	`lower-fma.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
0	14	46
0	25	44
1	91	43
2	565	43
3	6219	43
0	8083	42
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 144 to 67 computations (53.5% saved)

preprocess52.0ms (0.7%)

Memory: 29.9MiB live, 107.5MiB allocated
Compiler: Compiled 224 to 88 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.3s (18.4%)

preprocess134.0ms (1.9%)

explain130.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify78.0ms (1.1%)

localize33.0ms (0.5%)

series4.0ms (0.1%)

rewrite435.0ms (6.1%)

simplify207.0ms (2.9%)

eval51.0ms (0.7%)

prune77.0ms (1.1%)

simplify15.0ms (0.2%)

localize51.0ms (0.7%)

series4.0ms (0.1%)

rewrite395.0ms (5.6%)

simplify233.0ms (3.3%)

eval99.0ms (1.4%)

prune60.0ms (0.8%)

simplify8.0ms (0.1%)

localize132.0ms (1.9%)

series4.0ms (0%)

rewrite435.0ms (6.2%)

simplify633.0ms (8.9%)

eval76.0ms (1.1%)

prune64.0ms (0.9%)

simplify10.0ms (0.1%)

localize106.0ms (1.5%)

series4.0ms (0.1%)

rewrite681.0ms (9.6%)

simplify258.0ms (3.6%)

eval145.0ms (2%)

prune67.0ms (0.9%)

regimes23.0ms (0.3%)

regimes19.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1000.0ms (14.1%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling