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

analyze0.0ms (0%)

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 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample919.0ms (11.6%)

Results

696.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-mult: 297.0ms (63.1% of total)

ival-add: 78.0ms (16.6% of total)

ival-sub: 73.0ms (15.5% of total)

const: 19.0ms (4% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess500.0ms (6.3%)

Algorithm

2×	egg-herbie

Rules

2716×	`fnmadd-define`
2686×	`fnmsub-define`
2332×	`fnmadd-define`
2288×	`fmm-def`
1868×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	73	32
2	234	29
3	872	27
4	2836	24
5	5161	24
6	6096	24
7	6261	24
8	6263	24
9	6263	21
0	10	12
1	33	10
2	83	9
3	209	9
4	433	7
5	714	7
6	1299	7
7	2844	7
8	5888	7
9	7520	7
10	7931	7
0	8001	7

Stop Event

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

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

explain94.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
0	-	-	`x`
0	-	-	`(.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)))`
0	-	-	`(*.f64 x #s(literal 4 binary64))`
0	-	-	`(*.f64 x #s(literal 3 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
0	-	-	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`

Results

50.0ms

512×

valid

Compiler

Compiled 114 to 32 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 16.0ms (69.8% of total)

ival-sub: 3.0ms (13.1% of total)

ival-add: 2.0ms (8.7% of total)

const: 1.0ms (4.4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
▶	99.4%	(.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 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))

▶

99.4%

(*.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)

simplify143.0ms (1.8%)

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 (*.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 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	128	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓	cost-diff	128	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
✓	cost-diff	256	(.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

2332×	`fnmadd-define`
1868×	`fmsub-define`
1800×	`sum5-define`
1752×	`fnmsub-define`
1724×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	50	68
2	125	59
3	263	59
4	497	59
5	750	59
6	1322	59
7	2864	59
8	5923	59
9	7555	59
10	7966	59
0	8010	59

Stop Event

1×	iter limit
1×	node limit

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 (+ (* x 9) -12)))
3
(* x (+ (* x 9) -12))
x
(+ (* x 9) -12)
(* x 9)
9
-12

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

localize115.0ms (1.4%)

Localize:

Found 8 expressions of interest:

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

Results

55.0ms	226×	0	valid
5.0ms	19×	1	valid
4.0ms	11×	2	valid

Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 15.0ms (47.2% of total)

ival-mult: 13.0ms (40.9% of total)

ival-sub: 2.0ms (6.3% of total)

const: 1.0ms (3.1% of total)

backward-pass: 1.0ms (3.1% of total)

series6.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (* 3 (+ (- (* (* x 3) x) (* x 4)) 1))>
#<alt (+ (- (* (* x 3) x) (* x 4)) 1)>
#<alt (- (* (* x 3) x) (* x 4))>
#<alt (* (* x 3) x)>
#<alt (+ 3 (* x (+ (* x 9) -12)))>
#<alt (* x (+ (* x 9) -12))>
#<alt (+ (* x 9) -12)>
#<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 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 (* -4 x)>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 (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 (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* 9 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 9)
0.0ms	x	@	inf	(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms	x	@	inf	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	0	(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms	x	@	inf	(* x (+ (* x 9) -12))

rewrite376.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
3684×	`/-lowering-/.f32`
3684×	`/-lowering-/.f64`
1814×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	109	54
2	909	50
0	8286	50

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 270

Calls

Call 1

Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(+ (- (* (* x 3) x) (* x 4)) 1)
(- (* (* x 3) x) (* x 4))
(* (* x 3) x)
(+ 3 (* x (+ (* x 9) -12)))
(* x (+ (* x 9) -12))
(+ (* x 9) -12)
(* 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 (.f64 (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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 #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 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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))))) #s(literal 27 binary64)) #s(literal 27 binary64)) (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (.f64 #s(literal 3 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 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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 (.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))))))
(/.f64 (.f64 #s(literal 3 binary64) (+.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 -1 binary64))) (+.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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)))))) #s(literal 3 binary64)) (+.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 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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 -1 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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))))) #s(literal 27 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) #s(literal 9 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 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)))))))) (neg.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)))) (-.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) #s(literal 2985984 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 #s(literal 81 binary64) (.f64 x x))) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 144 binary64)))) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 #s(literal 81 binary64) (.f64 x x))) #s(literal 20736 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 144 binary64)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -144 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 144 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 144 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))))
(pow.f64 (/.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 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))

simplify174.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1724×	`-lowering-.f32`
1724×	`-lowering-.f64`
1672×	`--lowering--.f32`
1672×	`--lowering--.f64`
1170×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	609
1	158	588
2	416	588
3	1068	516
4	3152	516
5	7147	516
0	8034	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))))
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))))
(* -4 x)
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 3 (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 (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* 9 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 #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)))))
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))))
(* -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)))
(* 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 #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 #s(literal -12 binary64) x)
(* 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 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 (* 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 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 (* 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)))
(* 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)

eval47.0ms (0.6%)

Compiler: Compiled 11453 to 1110 computations (90.3% saved)

prune68.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	367	11	378
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	368	12	380

Accuracy

100.0%

Counts

380 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (.f64 x x) #s(literal 9 binary64) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
	89.8%	(+.f64 #s(literal 3 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -144 binary64)) x) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
	98.7%	(+.f64 #s(literal 3 binary64) (.f64 x (/.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))))))
✓	99.9%	(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
▶	54.1%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
	49.0%	(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
	48.7%	(.f64 x (.f64 x #s(literal 9 binary64)))
	99.5%	(.f64 #s(literal 3 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 x #s(literal 4 binary64))))
▶	54.1%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
▶	49.0%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
	48.7%	(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
▶	53.6%	#s(literal 3 binary64)

Compiler

Compiled 228 to 172 computations (24.6% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 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 -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 #s(literal -12 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	6400	(fma.f64 (.f64 x x) #s(literal 9 binary64) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))

Rules

218×	`fma-define`
150×	`fma-lowering-fma.f32`
150×	`fma-lowering-fma.f64`
84×	`-lowering-.f32`
84×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	50	73
2	114	69
3	183	69
4	221	69
5	245	69
6	250	69
0	250	69

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize98.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
✓	accuracy	99.9%	(.f64 x (+.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 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -4 binary64))
✓	accuracy	99.9%	(.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	99.9%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -12 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
✓	accuracy	99.6%	(fma.f64 (.f64 x x) #s(literal 9 binary64) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))

Results

47.0ms	213×	0	valid
12.0ms	27×	1	valid
8.0ms	15×	2	valid
1.0ms	1×	5	exit

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 19.0ms (44.3% of total)

ival-add: 9.0ms (21% of total)

const: 7.0ms (16.3% of total)

compiled-spec: 5.0ms (11.6% of total)

backward-pass: 3.0ms (7% of total)

series8.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* 3 x)
2.0ms	x	@	inf	(* 3 (* x (+ -4 (* 3 x))))
0.0ms	x	@	0	(* 3 (* x (+ -4 (* 3 x))))
0.0ms	x	@	-inf	(* 3 (* x (+ -4 (* 3 x))))
0.0ms	x	@	0	(* 3 (+ (* x -4) 1))

rewrite327.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3328×	`-lowering-.f32`
3328×	`-lowering-.f64`
3156×	`/-lowering-/.f32`
3156×	`/-lowering-/.f64`
2528×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	111	54
2	1008	51
0	8331	51

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 451

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x 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 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (.f64 (*.f64 x x) #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 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (+.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal -3 binary64))) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal -3 binary64)))))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (+.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal -3 binary64))) (/.f64 (.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal -3 binary64))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (+.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 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 #s(literal 9 binary64) (+.f64 (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal -3 binary64))))
(fma.f64 x #s(literal -12 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (+.f64 #s(literal -12 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 x (.f64 (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1728 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -36 binary64))))) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1728 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x #s(literal -12 binary64)) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal -3 binary64))))) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 (+.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64)))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (+.f64 #s(literal -12 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) x #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (+.f64 (+.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64))))))))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))))
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(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (.f64 (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -64 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) #s(literal -16 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -16 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))) (.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))))) (+.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal -64 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))))
(.f64 (+.f64 #s(literal -64 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 x #s(literal 12 binary64))))))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -64 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) #s(literal -16 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify193.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1748×	`fma-lowering-fma.f32`
1748×	`fma-lowering-fma.f64`
1548×	`fnmsub-define`
1426×	`fmsub-define`
1424×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	638
1	147	595
2	383	595
3	977	562
4	2182	562
5	4852	562
0	8137	562

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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))))
(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)))))
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)
(* -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)

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

eval95.0ms (1.2%)

Compiler: Compiled 11658 to 978 computations (91.6% saved)

prune79.0ms (1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	606	7	613
Fresh	4	2	6
Picked	2	3	5
Done	0	1	1
Total	612	13	625

Accuracy

100.0%

Counts

625 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.7%	(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))
✓	99.9%	(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓	54.1%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
	48.9%	(.f64 (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
▶	49.0%	(.f64 (+.f64 #s(literal -12 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) x)
▶	49.0%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
	48.7%	(.f64 x (.f64 x #s(literal 9 binary64)))
	49.0%	(.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))))))
✓	54.1%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
	48.6%	(.f64 #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 3 binary64) x)))
▶	48.7%	(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
▶	3.9%	(*.f64 #s(literal -12 binary64) x)
✓	53.6%	#s(literal 3 binary64)

Compiler

Compiled 178 to 126 computations (29.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
26×	`fma-lowering-fma.f32`
26×	`fma-define`
26×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	38	75
2	52	75
3	53	75
0	53	75

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize82.0ms (1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -12 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	99.5%	(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -12 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal -12 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) x)
✓	accuracy	99.6%	(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 #s(literal -12 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))

Results

44.0ms	226×	0	valid
8.0ms	11×	2	valid
7.0ms	19×	1	valid

Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 22.0ms (76.6% of total)

ival-add: 5.0ms (17.4% of total)

backward-pass: 2.0ms (7% of total)

const: 1.0ms (3.5% of total)

series5.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite323.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3934×	`-lowering-.f32`
3934×	`-lowering-.f64`
1728×	`/-lowering-/.f32`
1728×	`/-lowering-/.f64`
1318×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	81	59
2	586	59
3	7009	59
0	8005	59

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 483

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 x #s(literal -12 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal -12 binary64)))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal -12 binary64) x (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (+.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)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2985984 binary64)))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) (+.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))))
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(.f64 (/.f64 (.f64 x (+.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal -1728 binary64) (.f64 #s(literal -729 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 144 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal -12 binary64))
(*.f64 #s(literal -12 binary64) x)

simplify178.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2282×	`-lowering-.f32`
2282×	`-lowering-.f64`
1600×	`fnmsub-define`
1036×	`/-lowering-/.f32`
1036×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	683
1	57	683
2	116	683
3	269	683
4	618	683
5	1069	683
6	3335	683
7	6772	683
0	8070	683

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval462.0ms (5.8%)

Compiler: Compiled 15849 to 717 computations (95.5% saved)

prune88.0ms (1.1%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	665	4	669
Fresh	3	1	4
Picked	3	2	5
Done	0	4	4
Total	671	11	682

Accuracy

100.0%

Counts

682 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓	99.9%	(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓	54.1%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
▶	48.7%	(.f64 (.f64 x x) #s(literal 9 binary64))
▶	48.7%	(.f64 (.f64 x #s(literal 9 binary64)) x)
▶	48.6%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	49.0%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
▶	49.0%	(.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))))))
✓	54.1%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	3.9%	(*.f64 #s(literal -12 binary64) x)
✓	53.6%	#s(literal 3 binary64)

Compiler

Compiled 122 to 89 computations (27% saved)

simplify383.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
✓	cost-diff	256	(.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	128	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 9 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 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))

Rules

178×	`fma-define`
154×	`-lowering-.f32`
154×	`-lowering-.f64`
100×	`/-lowering-/.f32`
100×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	42	80
2	78	80
3	150	80
4	189	80
5	194	80
6	200	80
7	213	80
8	233	80
9	259	80
10	271	80
11	293	80
12	298	80
13	301	80
14	309	80
15	317	80
16	335	80
17	345	80
18	356	80
19	363	80
20	363	80
0	363	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize105.0ms (1.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
✓	accuracy	99.9%	(+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))

Results

36.0ms	184×	0	valid
19.0ms	44×	1	valid
16.0ms	28×	2	valid

Compiler

Compiled 101 to 20 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (46% of total)

ival-div: 12.0ms (32.5% of total)

ival-add: 4.0ms (10.8% of total)

backward-pass: 3.0ms (8.1% of total)

const: 1.0ms (2.7% of total)

series3.0ms (0%)

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite366.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
2336×	`/-lowering-/.f32`
2336×	`/-lowering-/.f64`
1804×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	99	60
2	629	60
3	5504	60
0	8668	60

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 879

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 x #s(literal -12 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal -3 binary64))) (.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal -3 binary64))) (.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -12 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -12 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 12 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -9 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 12 binary64)))
(+.f64 (.f64 #s(literal 4 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 #s(literal 12 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (*.f64 x #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 x #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 12 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal -12 binary64)))
(fma.f64 x #s(literal -12 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal -12 binary64) x (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))
(neg.f64 (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
(neg.f64 (.f64 (.f64 x (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)))))
(neg.f64 (.f64 (.f64 x #s(literal -3 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))))
(neg.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))))
(neg.f64 (/.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -144 binary64)))))
(/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) x))
(/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.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))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (+.f64 #s(literal 144 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 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 x (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -144 binary64))) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 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))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -9 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -9 binary64)))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -16 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -16 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 x (+.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))))))
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(/.f64 (.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 16 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))
(pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))))
(.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))))
(.f64 (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(.f64 (pow.f64 (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (+.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 4096 binary64) (.f64 (.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))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))))) (+.f64 #s(literal 256 binary64) (.f64 (.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 16 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (-.f64 #s(literal 256 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))) (-.f64 #s(literal 16 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal -64 binary64) (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))

simplify241.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2628×	`-lowering-.f32`
2628×	`-lowering-.f64`
1732×	`fma-lowering-fma.f32`
1732×	`fma-lowering-fma.f64`
1610×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	140	787
1	360	775
2	796	775
3	1724	775
4	3668	767
0	8385	767

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval174.0ms (2.2%)

Compiler: Compiled 19133 to 2367 computations (87.6% saved)

prune130.0ms (1.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1097	2	1099
Fresh	0	0	0
Picked	2	3	5
Done	1	5	6
Total	1100	10	1110

Accuracy

100.0%

Counts

1110 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
	48.7%	(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
	3.9%	(/.f64 x #s(literal -1/12 binary64))
✓	99.9%	(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓	54.1%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
✓	48.7%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	48.7%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	49.0%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	54.1%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	53.6%	#s(literal 3 binary64)

Compiler

Compiled 276 to 125 computations (54.7% saved)

regimes30.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
8.0ms	x
7.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
6.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -32.4b remaining (-109.1%)

Threshold costs -32.4b (-109.1%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 #s(literal -12 binary64) x)
(/.f64 x #s(literal -1/12 binary64))

Outputs
#s(literal 3 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0065040368138173975	320448.55642724986
16.0ms	-244074203.43302718	-3.629175640407129e-5

Results

20.0ms

304×

valid

Compiler

Compiled 380 to 308 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (69.7% of total)

ival-sub: 2.0ms (15.5% of total)

ival-add: 2.0ms (15.5% of total)

const: 1.0ms (7.7% of total)

backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0065040368138173975	320448.55642724986
15.0ms	-244074203.43302718	-3.629175640407129e-5

Results

19.0ms

304×

valid

Compiler

Compiled 360 to 298 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (66.7% of total)

ival-sub: 2.0ms (16.7% of total)

ival-add: 1.0ms (8.3% of total)

const: 1.0ms (8.3% of total)

backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0065040368138173975	320448.55642724986
15.0ms	-244074203.43302718	-3.629175640407129e-5

Results

21.0ms

304×

valid

Compiler

Compiled 322 to 260 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (65.8% of total)

ival-sub: 2.0ms (16.4% of total)

ival-add: 2.0ms (16.4% of total)

const: 1.0ms (8.2% of total)

backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0065040368138173975	320448.55642724986
17.0ms	-244074203.43302718	-3.629175640407129e-5

Results

20.0ms

304×

valid

Compiler

Compiled 284 to 222 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (64.9% of total)

ival-sub: 2.0ms (16.2% of total)

ival-add: 2.0ms (16.2% of total)

const: 1.0ms (8.1% of total)

backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0065040368138173975	320448.55642724986
16.0ms	-244074203.43302718	-3.629175640407129e-5

Results

21.0ms

304×

valid

Compiler

Compiled 208 to 165 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (66.2% of total)

ival-sub: 2.0ms (16.5% of total)

ival-add: 1.0ms (8.3% of total)

const: 1.0ms (8.3% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0065040368138173975	320448.55642724986
19.0ms	-244074203.43302718	-3.629175640407129e-5

Results

23.0ms

304×

valid

Compiler

Compiled 208 to 165 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (65.6% of total)

ival-sub: 2.0ms (16.4% of total)

ival-add: 1.0ms (8.2% of total)

const: 1.0ms (8.2% of total)

backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	134
1	74	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 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 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))))
#s(literal 3 binary64)

Outputs
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 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)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 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 5404319552844595/9007199254740992 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)))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) #s(literal 9 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 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 9 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (.f64 (*.f64 x x) #s(literal 9 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 #s(literal 9 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 (.f64 x 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))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))))
#s(literal 3 binary64)

soundness1.8s (22.4%)

Rules

3934×	`-lowering-.f32`
3934×	`-lowering-.f64`
2332×	`fnmadd-define`
1868×	`fmsub-define`
1800×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	81	59
2	586	59
3	7009	59
0	8005	59
0	10	12
1	33	10
2	83	9
3	209	9
4	433	7
5	714	7
6	1299	7
7	2844	7
8	5888	7
9	7520	7
10	7931	7
0	8001	7
0	55	609
1	158	588
2	416	588
3	1068	516
4	3152	516
5	7147	516
0	8034	516

Stop Event

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

Compiler

Compiled 287 to 140 computations (51.2% saved)

preprocess67.0ms (0.8%)

Compiler: Compiled 366 to 122 computations (66.7% saved)

Iter	Nodes	Cost
0	19	86
1	42	80
2	78	80
3	150	80
4	189	80
5	194	80
6	200	80
7	213	80
8	233	80
9	259	80
10	271	80
11	293	80
12	298	80
13	301	80
14	309	80
15	317	80
16	335	80
17	345	80
18	356	80
19	363	80
20	363	80
0	363	80

Iter	Nodes	Cost
0	19	86
1	42	80
2	78	80
3	150	80
4	189	80
5	194	80
6	200	80
7	213	80
8	233	80
9	259	80
10	271	80
11	293	80
12	298	80
13	301	80
14	309	80
15	317	80
16	335	80
17	345	80
18	356	80
19	363	80
20	363	80
0	363	80

analyze0.0ms (0%)

sample919.0ms (11.6%)

preprocess500.0ms (6.3%)

explain94.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify143.0ms (1.8%)

localize115.0ms (1.4%)

series6.0ms (0.1%)

rewrite376.0ms (4.7%)

simplify174.0ms (2.2%)

eval47.0ms (0.6%)

prune68.0ms (0.9%)

simplify12.0ms (0.2%)

localize98.0ms (1.2%)

series8.0ms (0.1%)

rewrite327.0ms (4.1%)

simplify193.0ms (2.4%)

eval95.0ms (1.2%)

prune79.0ms (1%)

simplify7.0ms (0.1%)

localize82.0ms (1%)

series5.0ms (0.1%)

rewrite323.0ms (4.1%)

simplify178.0ms (2.2%)

eval462.0ms (5.8%)

prune88.0ms (1.1%)

simplify383.0ms (4.8%)

localize105.0ms (1.3%)

series3.0ms (0%)

rewrite366.0ms (4.6%)

simplify241.0ms (3%)

eval174.0ms (2.2%)

prune130.0ms (1.6%)

regimes30.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch35.0ms (0.4%)

bsearch37.0ms (0.5%)

bsearch34.0ms (0.4%)

bsearch34.0ms (0.4%)

bsearch35.0ms (0.4%)

bsearch38.0ms (0.5%)

simplify10.0ms (0.1%)

soundness1.8s (22.4%)

preprocess67.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	86
1	42	80
2	78	80
3	150	80
4	189	80
5	194	80
6	200	80
7	213	80
8	233	80
9	259	80
10	271	80
11	293	80
12	298	80
13	301	80
14	309	80
15	317	80
16	335	80
17	345	80
18	356	80
19	363	80
20	363	80
0	363	80