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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample764.0ms (9.8%)

Memory

46.0MiB live, 1 207.4MiB allocated

Samples

513.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-mult: 245.0ms (69.9% of total)

ival-add: 45.0ms (12.8% of total)

ival-sub: 40.0ms (11.4% of total)

exact: 11.0ms (3.1% of total)

ival-true: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess148.0ms (1.9%)

Memory

-28.5MiB live, 148.8MiB allocated

Algorithm

2×	egg-herbie

Rules

1 544×	`accelerator-lowering-fma.f32`
1 544×	`accelerator-lowering-fma.f64`
624×	`-lowering-.f32`
624×	`-lowering-.f64`
284×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	68	35
2	190	33
3	633	27
4	1403	27
5	1928	27
6	2081	27
7	2107	27
8	2109	27
9	2109	27
10	2113	27
0	10	13
1	31	11
2	65	11
3	152	9
4	270	9
5	372	9
6	582	9
7	925	9
8	1226	9
9	1297	9
10	1334	9
11	1340	9
12	1340	9
0	1340	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))

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

Call 2

Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1))
(neg (* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1)))

Outputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(+ 3 (* x (+ -12 (* x 9))))
(* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1))
(- 3 (* x (- -12 (* x 9))))
(neg (* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1)))
(+ -3 (* x (- -12 (* x 9))))

explain183.0ms (2.3%)

Memory

8.9MiB live, 363.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

36.0ms

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 (69.8% of total)

ival-sub: 2.0ms (10% of total)

ival-add: 2.0ms (10% of total)

exact: 1.0ms (5% of total)

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

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

eval0.0ms (0%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
▶	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)))

Status

Accuracy

Program

▶

99.9%

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

▶

99.9%

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

Compiler

Compiled 24 to 18 computations (25% saved)

simplify74.0ms (0.9%)

Memory

3.1MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	0	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓	cost-diff	128	(.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)))

Rules

1 544×	`accelerator-lowering-fma.f32`
1 544×	`accelerator-lowering-fma.f64`
624×	`-lowering-.f32`
624×	`-lowering-.f64`
308×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	50	72
2	118	68
3	259	68
4	458	68
5	692	68
6	1008	68
7	1406	68
8	1488	68
9	1491	68
10	1491	68
0	1491	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize63.0ms (0.8%)

Memory

-19.7MiB live, 91.2MiB allocated

Localize:

Found 8 expressions of interest:

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

35.0ms	231×	0	valid
3.0ms	13×	2	valid
2.0ms	12×	1	valid

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

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

ival-mult: 12.0ms (65.2% of total)

ival-add: 3.0ms (16.3% of total)

ival-sub: 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)

series6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (* 3 (+ (- (* (* x 3) x) (* x 4)) 1))>
#<alt (- (* (* x 3) x) (* x 4))>
#<alt (+ (- (* (* x 3) x) (* x 4)) 1)>
#<alt (* (* x 3) x)>
#<alt (- 3 (* x (+ 12 (* x -9))))>
#<alt (* x (+ 12 (* x -9)))>
#<alt (+ 12 (* x -9))>
#<alt (* x -9)>
#<alt (* x 3)>

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

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 12 (* x -9)))
0.0ms	x	@	inf	(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms	x	@	0	(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms	x	@	inf	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	inf	(* (* x 3) x)

rewrite463.0ms (5.9%)

Memory

14.3MiB live, 720.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 186×	`accelerator-lowering-fma.f32`
5 186×	`accelerator-lowering-fma.f64`
5 108×	`-lowering-.f32`
5 108×	`-lowering-.f64`
3 916×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	102	59
2	852	59
0	8586	50

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 331

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)))) #s(literal 3 binary64))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)))) #s(literal 9 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)))) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)))) #s(literal -3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (.f64 (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64) (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) x) (/.f64 #s(literal 3 binary64) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) #s(literal 1 binary64))))
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(/.f64 (.f64 (-.f64 #s(literal 2985984 binary64) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1728 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (+.f64 #s(literal 144 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 2985984 binary64) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 20736 binary64) (+.f64 (.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 11664 binary64) (.f64 x x)))) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 20736 binary64) (.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) #s(literal -1728 binary64))) (neg.f64 (+.f64 #s(literal -144 binary64) (neg.f64 (.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -144 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 144 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 144 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 144 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 (/.f64 #s(literal 144 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 144 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 144 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))) (+.f64 (/.f64 #s(literal 144 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (+.f64 #s(literal 1728 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))))
(.f64 (+.f64 #s(literal 1728 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 108 binary64) x)))))
(.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 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) #s(literal -1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -144 binary64) (neg.f64 (.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(*.f64 x #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

simplify272.0ms (3.5%)

Memory

-14.5MiB live, 384.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 412×	`accelerator-lowering-fma.f32`
6 412×	`accelerator-lowering-fma.f64`
2 666×	`-lowering-.f32`
2 666×	`-lowering-.f64`
1 322×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	596
1	167	596
2	387	596
3	937	588
4	2329	588
5	4376	588
6	6485	588
7	7960	588
0	8046	516

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

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

eval73.0ms (0.9%)

Memory: -4.9MiB live, 129.1MiB allocated
Compiler: Compiled 13 622 to 1 249 computations (90.8% saved)

prune47.0ms (0.6%)

Memory

-21.5MiB live, 138.2MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	432	7	439
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	433	8	441

Accuracy

100.0%

Counts

441 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
✓	99.9%	(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
▶	49.0%	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
	53.5%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
▶	52.9%	(.f64 #s(literal 9 binary64) (.f64 x x))
▶	49.0%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
	53.4%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
▶	48.7%	#s(literal 3 binary64)

Compiler

Compiled 126 to 98 computations (22.2% saved)

simplify172.0ms (2.2%)

Memory

12.8MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal -4 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 12 binary64))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 144 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))) x)
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))

Rules

2 360×	`accelerator-lowering-fma.f32`
2 360×	`accelerator-lowering-fma.f64`
1 288×	`-lowering-.f32`
1 288×	`-lowering-.f64`
644×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	109
1	53	109
2	100	109
3	174	109
4	386	109
5	779	109
6	1192	109
7	1854	109
8	2582	109
9	3057	109
10	3287	109
11	3347	109
12	3382	109
13	3390	109
14	3392	109
15	3411	109
16	3411	109
17	3431	109
0	3431	98

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 3 (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9))))
3
(/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9)))
(* (+ 144 (* (* x x) -81)) x)
(+ 144 (* (* x x) -81))
144
(* (* x x) -81)
(* x x)
x
-81
(+ 12 (* x 9))
12
(* x 9)
9
3
(* 9 (* x x))
9
(* x x)
x
(- 3 (* x 12))
3
(* x 12)
x
12
(* 3 (+ (* x -4) 1))
3
(+ (* x -4) 1)
(* x -4)
x
-4
1

Outputs
(- 3 (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9))))
(+.f64 #s(literal 3 binary64) (.f64 x (/.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))))
3
#s(literal 3 binary64)
(/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9)))
(.f64 x (/.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(* (+ 144 (* (* x x) -81)) x)
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))))
(+ 144 (* (* x x) -81))
(+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
144
#s(literal 144 binary64)
(* (* x x) -81)
(.f64 (.f64 x x) #s(literal -81 binary64))
(* x x)
(*.f64 x x)
x
-81
#s(literal -81 binary64)
(+ 12 (* x 9))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
12
#s(literal 12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
3
#s(literal 3 binary64)
(* 9 (* x x))
(.f64 x (.f64 x #s(literal 9 binary64)))
9
#s(literal 9 binary64)
(* x x)
(*.f64 x x)
x
(- 3 (* x 12))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
3
#s(literal 3 binary64)
(* x 12)
(*.f64 x #s(literal 12 binary64))
x
12
#s(literal 12 binary64)
(* 3 (+ (* x -4) 1))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
3
#s(literal 3 binary64)
(+ (* x -4) 1)
(+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(* x -4)
(*.f64 x #s(literal -4 binary64))
x
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)

localize210.0ms (2.7%)

Memory

15.8MiB live, 93.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -4 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 12 binary64))
✓	accuracy	99.8%	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 144 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	accuracy	93.3%	(/.f64 (.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))

Samples

86.0ms	5×	3	valid
63.0ms	31×	1	valid
25.0ms	196×	0	valid
9.0ms	24×	2	valid

Compiler

Compiled 113 to 24 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 153.0ms (92% of total)

ival-add: 5.0ms (3% of total)

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

ival-div: 2.0ms (1.2% of total)

adjust: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series8.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (- 3 (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9))))>
#<alt (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9)))>
#<alt (* (+ 144 (* (* x x) -81)) x)>
#<alt (+ 144 (* (* x x) -81))>
#<alt (* 9 (* x x))>
#<alt (* x x)>
#<alt (- 3 (* x 12))>
#<alt (* x 12)>
#<alt (* 3 (+ (* x -4) 1))>
#<alt (+ (* x -4) 1)>
#<alt (* x -4)>
#<alt (* (* x x) -81)>
#<alt (+ 12 (* x 9))>

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 x)>
#<alt (* x (+ 12 (* -9 x)))>
#<alt (* x (+ 12 (* -9 x)))>
#<alt (* x (+ 12 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* 144 x)>
#<alt (* x (+ 144 (* -81 (pow x 2))))>
#<alt (* x (+ 144 (* -81 (pow x 2))))>
#<alt (* x (+ 144 (* -81 (pow x 2))))>
#<alt (* -81 (pow x 3))>
#<alt (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))>
#<alt 144>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<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 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 (* 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 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))))>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt 12>
#<alt (+ 12 (* 9 x))>
#<alt (+ 12 (* 9 x))>
#<alt (+ 12 (* 9 x))>
#<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 (* x (+ 9 (* 12 (/ 1 x))))>
#<alt (* x (+ 9 (* 12 (/ 1 x))))>
#<alt (* x (+ 9 (* 12 (/ 1 x))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9)))
0.0ms	x	@	inf	(- 3 (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9))))
0.0ms	x	@	0	(- 3 (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9))))
0.0ms	x	@	0	(/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9)))
0.0ms	x	@	-inf	(- 3 (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9))))

rewrite432.0ms (5.5%)

Memory

3.6MiB live, 634.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 604×	`accelerator-lowering-fma.f32`
9 604×	`accelerator-lowering-fma.f64`
6 078×	`-lowering-.f32`
6 078×	`-lowering-.f64`
3 006×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	87
1	124	87
2	960	71
0	8720	63

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 575

Calls

Call 1

Inputs
(- 3 (/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9))))
(/ (* (+ 144 (* (* x x) -81)) x) (+ 12 (* x 9)))
(* (+ 144 (* (* x x) -81)) x)
(+ 144 (* (* x x) -81))
(* 9 (* x x))
(* x x)
(- 3 (* x 12))
(* x 12)
(* 3 (+ (* x -4) 1))
(+ (* x -4) 1)
(* x -4)
(* (* x x) -81)
(+ 12 (* x 9))

Outputs
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))) (neg.f64 (/.f64 (.f64 x (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (.f64 (.f64 x x) (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))))
(+.f64 (/.f64 #s(literal -9 binary64) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal -3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(-.f64 #s(literal 3 binary64) (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))) (/.f64 (.f64 x (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (.f64 (.f64 x x) (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))))
(-.f64 (/.f64 #s(literal -9 binary64) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))) #s(literal 3 binary64))
(fma.f64 x (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 x (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (-.f64 #s(literal 3 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal 2985984 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -11664 binary64))))) (/.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))) #s(literal 3 binary64))
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(/.f64 (+.f64 #s(literal 1728 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 108 binary64)))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(/.f64 (+.f64 #s(literal -1728 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 108 binary64))))))
(/.f64 (+.f64 #s(literal -1728 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 144 binary64) (.f64 #s(literal -108 binary64) x)))))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1728 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))) (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 108 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1728 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 108 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (.f64 (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) (+.f64 (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(.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 (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(.f64 (+.f64 #s(literal 1728 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 108 binary64))))))
(.f64 (+.f64 #s(literal 1728 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x)))))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))
(.f64 (+.f64 #s(literal -1728 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 108 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))

simplify501.0ms (6.4%)

Memory

-7.5MiB live, 367.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 452×	`accelerator-lowering-fma.f32`
4 452×	`accelerator-lowering-fma.f64`
2 936×	`-lowering-.f32`
2 936×	`-lowering-.f64`
1 418×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	768
1	188	768
2	441	764
3	1120	764
4	2653	764
5	4404	764
6	6601	764
0	8102	686

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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 x)
(* x (+ 12 (* -9 x)))
(* x (+ 12 (* -9 x)))
(* x (+ 12 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* 144 x)
(* x (+ 144 (* -81 (pow x 2))))
(* x (+ 144 (* -81 (pow x 2))))
(* x (+ 144 (* -81 (pow x 2))))
(* -81 (pow x 3))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(* -81 (pow x 3))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
144
(+ 144 (* -81 (pow x 2)))
(+ 144 (* -81 (pow x 2)))
(+ 144 (* -81 (pow x 2)))
(* -81 (pow x 2))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* 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)
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)))))
(* 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)))))
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))))
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
12
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* x (+ 12 (* -9 x)))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* x (+ 12 (* -9 x)))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* x (+ 12 (* -9 x)))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (-.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* 144 x)
(*.f64 x #s(literal 144 binary64))
(* x (+ 144 (* -81 (pow x 2))))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* x (+ 144 (* -81 (pow x 2))))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* x (+ 144 (* -81 (pow x 2))))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -81 (pow x 3))
(.f64 #s(literal -81 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -81 (pow x 3))
(.f64 #s(literal -81 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 144 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
144
#s(literal 144 binary64)
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (.f64 x (.f64 x #s(literal -81 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)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (/ 1 x) 4))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* x (- (/ 1 x) 4))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* x (- (/ 1 x) 4))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -1 (* x (- 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -1 (* x (- 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -1 (* x (- 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
12
#s(literal 12 binary64)
(+ 12 (* 9 x))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(+ 12 (* 9 x))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(+ 12 (* 9 x))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))

eval164.0ms (2.1%)

Memory: -8.3MiB live, 187.3MiB allocated
Compiler: Compiled 16 487 to 1 688 computations (89.8% saved)

prune225.0ms (2.9%)

Memory

13.0MiB live, 128.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	746	3	749
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	747	10	757

Accuracy

100.0%

Counts

757 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x (.f64 x #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
✓	99.9%	(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
✓	49.0%	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
▶	53.0%	(.f64 (.f64 x #s(literal 9 binary64)) x)
▶	53.5%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	52.9%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	49.0%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
▶	53.4%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
▶	4.0%	(*.f64 #s(literal -12 binary64) x)
✓	48.7%	#s(literal 3 binary64)

Compiler

Compiled 120 to 90 computations (25% saved)

simplify66.0ms (0.9%)

Memory

-8.6MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
✓	cost-diff	128	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
✓	cost-diff	0	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	cost-diff	0	(*.f64 #s(literal -12 binary64) x)
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -81 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x #s(literal -81 binary64))) x)
✓	cost-diff	0	(/.f64 (.f64 (.f64 x (.f64 x #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x (.f64 x #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))

Rules

702×	`accelerator-lowering-fma.f32`
702×	`accelerator-lowering-fma.f64`
532×	`-lowering-.f32`
532×	`-lowering-.f64`
212×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	114
1	52	114
2	116	108
3	252	108
4	444	108
5	652	108
6	790	108
7	880	108
8	983	108
9	1072	108
10	1095	108
11	1103	108
0	1103	99

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 3 (/ (* (* x (* x -81)) x) (+ 12 (* x 9))))
3
(/ (* (* x (* x -81)) x) (+ 12 (* x 9)))
(* (* x (* x -81)) x)
(* x (* x -81))
x
(* x -81)
-81
(+ 12 (* x 9))
12
(* x 9)
9
(* -12 x)
-12
x
(* (* x 9) x)
(* x 9)
x
9
(* x (+ (* x 9) -12))
x
(+ (* x 9) -12)
(* x 9)
9
-12
(* 3 (* x (+ -4 (* 3 x))))
3
(* x (+ -4 (* 3 x)))
x
(+ -4 (* 3 x))
-4
(* 3 x)

Outputs
(- 3 (/ (* (* x (* x -81)) x) (+ 12 (* x 9))))
(+.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -81 binary64)))) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))
3
#s(literal 3 binary64)
(/ (* (* x (* x -81)) x) (+ 12 (* x 9)))
(/.f64 (.f64 x (.f64 x (.f64 x #s(literal -81 binary64)))) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))
(* (* x (* x -81)) x)
(.f64 x (.f64 x (*.f64 x #s(literal -81 binary64))))
(* x (* x -81))
(.f64 x (.f64 x #s(literal -81 binary64)))
x
(* x -81)
(*.f64 x #s(literal -81 binary64))
-81
#s(literal -81 binary64)
(+ 12 (* x 9))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
12
#s(literal 12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
-12
#s(literal -12 binary64)
x
(* (* x 9) x)
(.f64 x (.f64 x #s(literal 9 binary64)))
(* x 9)
(*.f64 x #s(literal 9 binary64))
x
9
#s(literal 9 binary64)
(* x (+ (* x 9) -12))
(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
x
(+ (* x 9) -12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)
(* 3 (* x (+ -4 (* 3 x))))
(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
3
#s(literal 3 binary64)
(* x (+ -4 (* 3 x)))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
x
(+ -4 (* 3 x))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
-4
#s(literal -4 binary64)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

localize168.0ms (2.2%)

Memory

-27.4MiB live, 140.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
✓	accuracy	99.8%	(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	accuracy	100.0%	(*.f64 #s(literal -12 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x #s(literal -81 binary64))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -81 binary64)))
✓	accuracy	93.3%	(/.f64 (.f64 (.f64 x (.f64 x #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64))))

Samples

39.0ms	29×	1	valid
35.0ms	27×	2	valid
27.0ms	200×	0	valid

Compiler

Compiled 118 to 24 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-add: 61.0ms (71.7% of total)

ival-mult: 18.0ms (21.2% of total)

adjust: 2.0ms (2.4% of total)

ival-div: 2.0ms (2.4% of total)

ival-sub: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (- 3 (/ (* (* x (* x -81)) x) (+ 12 (* x 9))))>
#<alt (/ (* (* x (* x -81)) x) (+ 12 (* x 9)))>
#<alt (* (* x (* x -81)) x)>
#<alt (* x (* x -81))>
#<alt (* -12 x)>
#<alt (* (* x 9) x)>
#<alt (* x 9)>
#<alt (* x (+ (* x 9) -12))>
#<alt (+ (* x 9) -12)>
#<alt (* 3 (* x (+ -4 (* 3 x))))>
#<alt (* x (+ -4 (* 3 x)))>
#<alt (+ -4 (* 3 x))>
#<alt (* 3 x)>
#<alt (+ 12 (* x 9))>

Outputs
#<alt 3>
#<alt (+ 3 (* 27/4 (pow x 3)))>
#<alt (+ 3 (* (pow x 3) (+ 27/4 (* -81/16 x))))>
#<alt (+ 3 (* (pow x 3) (+ 27/4 (* x (- (* 243/64 x) 81/16)))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 19 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 19 (pow x 2))) (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3))))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 19 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (+ 12 (* -1 (/ (- 19 (* 64/3 (/ 1 x))) x))) x))))>
#<alt (* -27/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 81/16 x) 27/4))>
#<alt (* (pow x 3) (- (* x (+ 81/16 (* -243/64 x))) 27/4))>
#<alt (* (pow x 3) (- (* x (+ 81/16 (* x (- (* 729/256 x) 243/64)))) 27/4))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) (+ 9 (/ 16 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3)))) (+ 9 (/ 16 (pow x 2)))))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 16 (/ 1 x)) 12) x)) 9))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 64/3 (/ 1 x)) 16) x)) 12) x)) 9))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<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 (* 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 (* -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 (* -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 (* -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 -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 (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt 12>
#<alt (+ 12 (* 9 x))>
#<alt (+ 12 (* 9 x))>
#<alt (+ 12 (* 9 x))>
#<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 (* x (+ 9 (* 12 (/ 1 x))))>
#<alt (* x (+ 9 (* 12 (/ 1 x))))>
#<alt (* x (+ 9 (* 12 (/ 1 x))))>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 3 (* x (+ -4 (* 3 x))))
0.0ms	x	@	0	(* 3 (* x (+ -4 (* 3 x))))
0.0ms	x	@	0	(* (* x (* x -81)) x)
0.0ms	x	@	-inf	(* (* x (* x -81)) x)
0.0ms	x	@	-inf	(* 3 (* x (+ -4 (* 3 x))))

rewrite676.0ms (8.7%)

Memory

0.8MiB live, 713.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 300×	`accelerator-lowering-fma.f32`
8 300×	`accelerator-lowering-fma.f64`
6 090×	`-lowering-.f32`
6 090×	`-lowering-.f64`
3 892×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	90
1	112	90
2	817	84
0	8568	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 850

Calls

Call 1

Inputs
(- 3 (/ (* (* x (* x -81)) x) (+ 12 (* x 9))))
(/ (* (* x (* x -81)) x) (+ 12 (* x 9)))
(* (* x (* x -81)) x)
(* x (* x -81))
(* -12 x)
(* (* x 9) x)
(* x 9)
(* x (+ (* x 9) -12))
(+ (* x 9) -12)
(* 3 (* x (+ -4 (* 3 x))))
(* x (+ -4 (* 3 x)))
(+ -4 (* 3 x))
(* 3 x)
(+ 12 (* x 9))

Outputs
(+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal -81 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal -81 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))
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simplify404.0ms (5.2%)

Memory

-1.7MiB live, 710.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 324×	`accelerator-lowering-fma.f32`
12 324×	`accelerator-lowering-fma.f64`
3 604×	`-lowering-.f32`
3 604×	`-lowering-.f64`
1 894×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	986
1	349	986
2	928	922
3	2330	902
4	5969	886
0	8179	800

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
3
(+ 3 (* 27/4 (pow x 3)))
(+ 3 (* (pow x 3) (+ 27/4 (* -81/16 x))))
(+ 3 (* (pow x 3) (+ 27/4 (* x (- (* 243/64 x) 81/16)))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 19 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 19 (pow x 2))) (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3))))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 19 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (+ 12 (* -1 (/ (- 19 (* 64/3 (/ 1 x))) x))) x))))
(* -27/4 (pow x 3))
(* (pow x 3) (- (* 81/16 x) 27/4))
(* (pow x 3) (- (* x (+ 81/16 (* -243/64 x))) 27/4))
(* (pow x 3) (- (* x (+ 81/16 (* x (- (* 729/256 x) 243/64)))) 27/4))
(* -9 (pow x 2))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* (pow x 2) (- (* 12 (/ 1 x)) (+ 9 (/ 16 (pow x 2)))))
(* (pow x 2) (- (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3)))) (+ 9 (/ 16 (pow x 2)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(* (pow x 2) (- (* -1 (/ (- (* 16 (/ 1 x)) 12) x)) 9))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 64/3 (/ 1 x)) 16) x)) 12) x)) 9))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 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)
(* -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)))
(* -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))))
(* -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))))
-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)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
12
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* 27/4 (pow x 3)))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(+ 3 (* (pow x 3) (+ 27/4 (* -81/16 x))))
(+.f64 #s(literal 3 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 27/4 binary64) (.f64 x #s(literal -81/16 binary64)))))
(+ 3 (* (pow x 3) (+ 27/4 (* x (- (* 243/64 x) 81/16)))))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 27/4 binary64) (.f64 x (+.f64 #s(literal -81/16 binary64) (*.f64 x #s(literal 243/64 binary64)))))))))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (+ 9 (/ 19 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 19 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (- (+ 9 (/ 19 (pow x 2))) (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3))))))
(+.f64 (-.f64 #s(literal 19 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal -64/3 binary64) x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 19 (/ 1 x))) x))))
(-.f64 #s(literal 19 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (+ 9 (* -1 (/ (+ 12 (* -1 (/ (- 19 (* 64/3 (/ 1 x))) x))) x))))
(+.f64 (-.f64 #s(literal 19 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal -64/3 binary64) x))
(* -27/4 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -27/4 binary64))))
(* (pow x 3) (- (* 81/16 x) 27/4))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -27/4 binary64) (.f64 x #s(literal 81/16 binary64))))
(* (pow x 3) (- (* x (+ 81/16 (* -243/64 x))) 27/4))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -27/4 binary64) (.f64 x (+.f64 #s(literal 81/16 binary64) (*.f64 x #s(literal -243/64 binary64))))))
(* (pow x 3) (- (* x (+ 81/16 (* x (- (* 729/256 x) 243/64)))) 27/4))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -27/4 binary64) (.f64 x (+.f64 #s(literal 81/16 binary64) (.f64 x (+.f64 #s(literal -243/64 binary64) (.f64 x #s(literal 729/256 binary64))))))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 12 (/ 1 x)) (+ 9 (/ 16 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal -16 binary64))
(* (pow x 2) (- (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3)))) (+ 9 (/ 16 (pow x 2)))))
(+.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 64/3 binary64) x) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 12 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 16 (/ 1 x)) 12) x)) 9))
(+.f64 (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal -16 binary64))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 64/3 (/ 1 x)) 16) x)) 12) x)) 9))
(+.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 64/3 binary64) x) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -81 (pow x 2))
(.f64 (.f64 x x) #s(literal -81 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 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))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* x (- (* 9 x) 12))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* x (- (* 9 x) 12))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(- (* 9 x) 12)
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(- (* 9 x) 12)
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* x (- (* 9 x) 12))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* x (- (* 9 x) 12))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 x) 4))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 4)
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 4)
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 #s(literal -4 binary64) (*.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)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
12
#s(literal 12 binary64)
(+ 12 (* 9 x))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 12 (* 9 x))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 12 (* 9 x))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 #s(literal 12 binary64) (*.f64 x #s(literal 9 binary64)))

eval264.0ms (3.4%)

Memory: 32.5MiB live, 298.9MiB allocated
Compiler: Compiled 25 426 to 2 225 computations (91.2% saved)

prune182.0ms (2.3%)

Memory

-22.2MiB live, 281.5MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 048	2	1 050
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	1 049	11	1 060

Accuracy

100.0%

Counts

1 060 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x (.f64 x #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
✓	99.9%	(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
✓	49.0%	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
▶	52.9%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)
✓	53.0%	(.f64 (.f64 x #s(literal 9 binary64)) x)
▶	52.9%	(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
✓	53.5%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	52.9%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	49.0%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	4.0%	(*.f64 #s(literal -12 binary64) x)
✓	48.7%	#s(literal 3 binary64)

Compiler

Compiled 82 to 60 computations (26.8% saved)

simplify5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

36×	`-lowering-.f32`
36×	`-lowering-.f64`
12×	`associate-r`
8×	`associate-l`
6×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	25
1	16	23
2	22	23
3	24	23
0	24	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* 3 x) (* 3 x))
(* 3 x)
3
x
(* (* (* 3 x) 3) x)
(* (* 3 x) 3)
(* 3 x)
3
x

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

localize28.0ms (0.4%)

Memory

-18.5MiB live, 57.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))

Samples

19.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

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

ival-mult: 6.0ms (93% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (* (* 3 x) (* 3 x))>
#<alt (* 3 x)>
#<alt (* (* 3 x) 3)>
#<alt (* (* (* 3 x) 3) x)>

Outputs
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 9 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 (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (* (* 3 x) 3) x)
0.0ms	x	@	0	(* (* 3 x) (* 3 x))
0.0ms	x	@	inf	(* (* 3 x) (* 3 x))
0.0ms	x	@	-inf	(* (* 3 x) (* 3 x))
0.0ms	x	@	-inf	(* (* 3 x) 3)

rewrite378.0ms (4.9%)

Memory

20.1MiB live, 447.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 932×	`/-lowering-/.f32`
4 932×	`/-lowering-/.f64`
4 460×	`-lowering-.f32`
4 460×	`-lowering-.f64`
2 758×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	18	16
2	34	16
3	63	16
4	185	16
5	978	16
0	8493	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(* (* 3 x) (* 3 x))
(* 3 x)
(* (* 3 x) 3)
(* (* (* 3 x) 3) x)

Outputs
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 3 binary64) x))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(literal 9 binary64) (*.f64 x x))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 3 binary64))))))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 3 binary64) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 3 binary64) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 3 binary64) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 3 binary64)))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) (log.f64 (/.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 3 binary64) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) (log.f64 (/.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x #s(literal 3 binary64)))))
(pow.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (.f64 (E.f64) (E.f64)) (log.f64 (.f64 #s(literal 3 binary64) x)))
(pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 #s(literal 3 binary64) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x x) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 3 binary64)))))
(.f64 (.f64 x x) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 x x) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 9 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 x (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 9 binary64))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 7/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 7/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64))) (.f64 x (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64))))
(.f64 (.f64 x (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 x #s(literal 9 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x))) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 7/4 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal 3 binary64)))) (*.f64 x x))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 7/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x #s(literal 9 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 x x))
(.f64 (exp.f64 (log.f64 #s(literal 9 binary64))) (.f64 x x))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)))
(exp.f64 (.f64 (log.f64 (E.f64)) (log.f64 (.f64 #s(literal 3 binary64) x))))
(exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))))
(fabs.f64 (*.f64 #s(literal 3 binary64) x))
(sqrt.f64 (.f64 #s(literal 9 binary64) (.f64 x x)))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x)))) (pow.f64 (E.f64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 3 binary64))))) (pow.f64 (E.f64) (/.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 3 binary64))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 3 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 3 binary64))))))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 3 binary64) x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 3 binary64) x)))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 3 binary64) x)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 3 binary64) x))))
(pow.f64 (pow.f64 (E.f64) (+.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 3 binary64)))))))
(pow.f64 (pow.f64 (E.f64) (+.f64 (pow.f64 (log.f64 #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) x))))))
(pow.f64 (pow.f64 (E.f64) (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) (log.f64 (/.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 3 binary64) x))))
(pow.f64 (pow.f64 (E.f64) (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) (log.f64 (/.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x #s(literal 3 binary64)))))
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(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal 3 binary64)))) (*.f64 x x))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 7/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x #s(literal 9 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (.f64 x x))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 x x))
(.f64 (exp.f64 (log.f64 #s(literal 9 binary64))) (.f64 x x))

simplify24.0ms (0.3%)

Memory

-24.6MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`-lowering-.f32`
18×	`-lowering-.f64`
6×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	192
1	12	192
2	14	192
0	14	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))

Outputs
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))
(* 9 (pow x 2))
(.f64 x (.f64 #s(literal 9 binary64) x))

eval44.0ms (0.6%)

Memory: -8.1MiB live, 103.2MiB allocated
Compiler: Compiled 5 988 to 666 computations (88.9% saved)

prune43.0ms (0.5%)

Memory

26.6MiB live, 108.4MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	451	11	462

Accuracy

100.0%

Counts

462 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x (.f64 x #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
✓	99.9%	(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
✓	49.0%	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
✓	52.9%	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)
✓	53.0%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	52.9%	(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
✓	53.5%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	52.9%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	49.0%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	4.0%	(*.f64 #s(literal -12 binary64) x)
✓	48.7%	#s(literal 3 binary64)

Compiler

Compiled 193 to 111 computations (42.5% saved)

regimes18.0ms (0.2%)

Memory

2.4MiB live, 41.6MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 #s(literal -12 binary64) x)
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)
(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 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 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x (.f64 x #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 3 binary64) (/.f64 (.f64 (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) x) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal 9 binary64)))))

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

Calls

4 calls:

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

regimes5.0ms (0.1%)

Memory

-29.7MiB live, 8.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Accuracy

Total -29.2b remaining (-88.9%)

Threshold costs -29.2b (-88.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 3 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch26.0ms (0.3%)

Memory

4.4MiB live, 45.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.028262279932632313	1160.1691315650248
12.0ms	-2.8163771291888864	-0.014917071597997296

Samples

13.0ms

240×

valid

Compiler

Compiled 257 to 209 computations (18.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (62.7% of total)

ival-sub: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

-3.2MiB live, 36.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.028262279932632313	1160.1691315650248
10.0ms	-2.8163771291888864	-0.014917071597997296

Samples

13.0ms

240×

valid

Compiler

Compiled 227 to 179 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.4% of total)

ival-sub: 1.0ms (12.1% of total)

ival-add: 1.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch39.0ms (0.5%)

Memory

-7.6MiB live, 31.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.028262279932632313	1160.1691315650248
9.0ms	-2.8163771291888864	-0.014917071597997296

Samples

13.0ms

240×

valid

Compiler

Compiled 167 to 134 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.5% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.028262279932632313	1160.1691315650248
9.0ms	-2.8163771291888864	-0.014917071597997296

Samples

12.0ms

240×

valid

Compiler

Compiled 167 to 134 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (63.2% of total)

ival-sub: 1.0ms (12.6% of total)

ival-add: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify188.0ms (2.4%)

Memory

-26.7MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
22×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	88
1	63	88
2	82	88
3	95	88
4	111	88
5	117	88
6	120	88
7	121	88

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64))) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64))) (.f64 (*.f64 x #s(literal 9 binary64)) x)))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))
#s(literal 3 binary64)

Outputs
(-.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64))) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64))) (.f64 (*.f64 x #s(literal 9 binary64)) x)))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 (.f64 x #s(literal 9 binary64)) x)))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))
#s(literal 3 binary64)

soundness1.3s (16.5%)

Memory

17.9MiB live, 1 453.5MiB allocated

Rules

9 604×	`accelerator-lowering-fma.f32`
9 604×	`accelerator-lowering-fma.f64`
6 412×	`accelerator-lowering-fma.f32`
6 412×	`accelerator-lowering-fma.f64`
6 078×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	87
1	124	87
2	960	71
0	8720	63
0	62	596
1	167	596
2	387	596
3	937	588
4	2329	588
5	4376	588
6	6485	588
7	7960	588
0	8046	516
0	10	13
1	31	11
2	65	11
3	152	9
4	270	9
5	372	9
6	582	9
7	925	9
8	1226	9
9	1297	9
10	1334	9
11	1340	9
12	1340	9
0	1340	7

Stop Event

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

Compiler

Compiled 170 to 89 computations (47.6% saved)

preprocess68.0ms (0.9%)

Memory: -1.8MiB live, 168.8MiB allocated
Compiler: Compiled 250 to 110 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample764.0ms (9.8%)

preprocess148.0ms (1.9%)

explain183.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify74.0ms (0.9%)

localize63.0ms (0.8%)

series6.0ms (0.1%)

rewrite463.0ms (5.9%)

simplify272.0ms (3.5%)

eval73.0ms (0.9%)

prune47.0ms (0.6%)

simplify172.0ms (2.2%)

localize210.0ms (2.7%)

series8.0ms (0.1%)

rewrite432.0ms (5.5%)

simplify501.0ms (6.4%)

eval164.0ms (2.1%)

prune225.0ms (2.9%)

simplify66.0ms (0.9%)

localize168.0ms (2.2%)

series6.0ms (0.1%)

rewrite676.0ms (8.7%)

simplify404.0ms (5.2%)

eval264.0ms (3.4%)

prune182.0ms (2.3%)

simplify5.0ms (0.1%)

localize28.0ms (0.4%)

series3.0ms (0%)

rewrite378.0ms (4.9%)

simplify24.0ms (0.3%)

eval44.0ms (0.6%)

prune43.0ms (0.5%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch26.0ms (0.3%)

bsearch24.0ms (0.3%)

bsearch39.0ms (0.5%)

bsearch23.0ms (0.3%)

simplify188.0ms (2.4%)

soundness1.3s (16.5%)

preprocess68.0ms (0.9%)

end0.0ms (0%)

Profiling