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)

sample1.2s (14.6%)

Results

860.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 607.0ms

ival-mult: 397.0ms (65.4% of total)

ival-add: 109.0ms (18% of total)

ival-sub: 79.0ms (13% of total)

const: 19.0ms (3.1% of total)

backward-pass: 4.0ms (0.7% of total)

Bogosity

preprocess251.0ms (3%)

Algorithm

2×	egg-herbie

Rules

2716×	`fnmadd-define`
2686×	`fnmsub-define`
2586×	`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	28
3	874	25
4	2836	24
5	5159	24
6	6093	24
7	6258	24
8	6260	24
9	6260	21
0	10	12
1	33	10
2	83	9
3	210	8
4	434	7
5	715	7
6	1284	7
7	2831	7
8	5877	7
9	7509	7
10	7920	7
0	8117	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)

explain119.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

79.0ms

512×

valid

Compiler

Compiled 114 to 32 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 18.0ms (71.9% of total)

ival-sub: 3.0ms (12% of total)

ival-add: 3.0ms (12% of total)

const: 1.0ms (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))))
▶	99.9%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

99.9%

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

▶

99.9%

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

Compiler

Compiled 24 to 18 computations (25% saved)

simplify187.0ms (2.2%)

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`
1708×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	50	68
2	125	58
3	264	58
4	499	58
5	752	58
6	1322	58
7	2866	58
8	5920	58
9	7552	58
10	7963	58
0	8007	58

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

localize82.0ms (1%)

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	99.8%	(.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓	accuracy	99.9%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

46.0ms	229×	0	valid
8.0ms	13×	2	valid
6.0ms	14×	1	valid

Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions

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

ival-mult: 12.0ms (57% of total)

ival-add: 4.0ms (19% of total)

backward-pass: 2.0ms (9.5% of total)

ival-sub: 2.0ms (9.5% of total)

const: 1.0ms (4.8% of total)

series9.0ms (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 3)

rewrite358.0ms (4.2%)

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	914	49
0	8328	49

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))))))
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(/.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 #s(literal 729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)))) #s(literal 2985984 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)))) #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))

simplify244.0ms (2.9%)

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	542
2	417	542
3	1071	494
4	3158	494
5	7154	494
0	8055	494

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

eval46.0ms (0.5%)

Compiler: Compiled 11453 to 1112 computations (90.3% saved)

prune36.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	370	8	378
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	371	9	380

Accuracy

100.0%

Counts

380 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.5%	(+.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))))
▶	99.9%	(+.f64 #s(literal 3 binary64) (*.f64 x (fma.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))))
▶	50.9%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
▶	52.0%	(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
	51.8%	(.f64 #s(literal 9 binary64) (.f64 x x))
	50.9%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
	52.0%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
▶	50.5%	#s(literal 3 binary64)

Compiler

Compiled 144 to 112 computations (22.2% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -144 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x)
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(+.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))))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -12 binary64))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
✓	cost-diff	6272	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	cost-diff	6272	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	cost-diff	6272	(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))

Rules

202×	`fma-define`
196×	`fma-lowering-fma.f32`
196×	`fma-lowering-fma.f64`
138×	`-lowering-.f32`
138×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	107
1	48	104
2	95	104
3	138	104
4	193	104
5	266	104
6	284	104
7	307	104
8	309	104
0	309	104

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize213.0ms (2.5%)

Localize:

Found 12 expressions of interest:

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

Results

75.0ms	197×	0	valid
47.0ms	21×	5	exit
26.0ms	11×	1	valid
24.0ms	25×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 124 to 23 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 46.0ms (50.6% of total)

ival-add: 17.0ms (18.7% of total)

backward-pass: 15.0ms (16.5% of total)

compiled-spec: 7.0ms (7.7% of total)

ival-div: 4.0ms (4.4% of total)

const: 2.0ms (2.2% of total)

series7.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite375.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3402×	`/-lowering-/.f32`
3402×	`/-lowering-/.f64`
3202×	`-lowering-.f32`
3202×	`-lowering-.f64`
2166×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	73
1	137	70
2	1313	70
0	8560	70

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 717

Calls

Call 1

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

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

simplify206.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1828×	`-lowering-.f32`
1828×	`-lowering-.f64`
1444×	`fma-define`
1400×	`sum5-define`
1390×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	918
1	166	813
2	442	751
3	1260	751
4	3137	751
5	6640	751
0	8380	751

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval144.0ms (1.7%)

Compiler: Compiled 21611 to 1490 computations (93.1% saved)

prune71.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	896	3	899
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	898	10	908

Accuracy

100.0%

Counts

908 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.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))))
✓	50.9%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
✓	52.0%	(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
▶	51.8%	(.f64 x (.f64 x #s(literal 9 binary64)))
▶	3.8%	(*.f64 x #s(literal -12 binary64))
▶	51.8%	(.f64 #s(literal 9 binary64) (.f64 x x))
▶	50.9%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
	52.0%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
✓	50.5%	#s(literal 3 binary64)

Compiler

Compiled 114 to 87 computations (23.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

46×	`-lowering-.f32`
46×	`-lowering-.f64`
40×	`fma-lowering-fma.f32`
40×	`fma-define`
40×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	40	60
2	59	59
3	91	59
4	95	59
0	95	59

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

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

localize171.0ms (2%)

Localize:

Found 12 expressions of interest:

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

Results

87.0ms	196×	0	valid
39.0ms	31×	1	valid
22.0ms	29×	2	valid

Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions

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

ival-mult: 15.0ms (52.4% of total)

ival-div: 5.0ms (17.5% of total)

ival-add: 4.0ms (14% of total)

backward-pass: 4.0ms (14% of total)

const: 1.0ms (3.5% of total)

series4.0ms (0%)

Counts

11 → 132

Calls

Call 1

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

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 (* -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 (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>
#<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)>

Calls

33 calls:

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

rewrite744.0ms (8.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2756×	`-lowering-.f32`
2756×	`-lowering-.f64`
1988×	`fma-lowering-fma.f32`
1988×	`fma-lowering-fma.f64`
1832×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	83	43
2	483	42
3	4277	42
0	8090	42

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 485

Calls

Call 1

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

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

simplify579.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

2452×	`-lowering-.f32`
2452×	`-lowering-.f64`
2016×	`fnmsub-define`
1676×	`sum3-define`
1376×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	584
1	234	518
2	532	518
3	1200	518
4	2196	516
5	5828	516
0	8126	516

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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)
(* -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))
(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
(+ 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)

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

eval80.0ms (0.9%)

Compiler: Compiled 10500 to 1449 computations (86.2% saved)

prune131.0ms (1.6%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	632	3	635
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	634	11	645

Accuracy

100.0%

Counts

645 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
▶	51.7%	(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
▶	3.8%	(/.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))))
✓	50.9%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
✓	52.0%	(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
✓	51.8%	(.f64 x (.f64 x #s(literal 9 binary64)))
✓	51.8%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	50.9%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
▶	52.0%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
✓	50.5%	#s(literal 3 binary64)

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

148×	`-lowering-.f32`
148×	`-lowering-.f64`
124×	`/-lowering-/.f32`
124×	`/-lowering-/.f64`
110×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	38	53
2	87	51
3	144	50
4	188	49
5	215	49
6	248	49
7	277	49
8	329	49
9	370	49
10	383	49
11	394	49
0	394	49

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize253.0ms (3%)

Localize:

Found 10 expressions of interest:

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

Results

173.0ms	81×	5	exit
46.0ms	175×	0	valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

...c/correct-round.rkt:119:19: 27.0ms (34.7% of total)

ival-div: 17.0ms (21.8% of total)

ival-mult: 15.0ms (19.3% of total)

backward-pass: 15.0ms (19.3% of total)

ival-add: 3.0ms (3.9% of total)

const: 1.0ms (1.3% of total)

series3.0ms (0%)

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite312.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2194×	`-lowering-.f32`
2194×	`-lowering-.f64`
1724×	`/-lowering-/.f32`
1724×	`/-lowering-/.f64`
1518×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	86	41
2	466	40
3	4400	39
0	8013	39

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 523

Calls

Call 1

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

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

simplify232.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2088×	`fma-lowering-fma.f32`
2088×	`fma-lowering-fma.f64`
1934×	`-lowering-.f32`
1934×	`-lowering-.f64`
1788×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	477
1	81	449
2	166	449
3	382	449
4	878	449
5	1574	449
6	4418	449
7	7740	449
0	8563	449

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

eval524.0ms (6.2%)

Compiler: Compiled 8539 to 1262 computations (85.2% saved)

prune81.0ms (1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	642	1	643
Fresh	0	0	0
Picked	1	3	4
Done	0	7	7
Total	643	11	654

Accuracy

100.0%

Counts

654 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(/.f64 (*.f64 x x) #s(literal 1/9 binary64))
✓	51.7%	(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
✓	3.8%	(/.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))))
✓	50.9%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
✓	52.0%	(.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
✓	51.8%	(.f64 x (.f64 x #s(literal 9 binary64)))
✓	51.8%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	50.9%	(.f64 #s(literal 3 binary64) (+.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	52.0%	(.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
✓	50.5%	#s(literal 3 binary64)

Compiler

Compiled 191 to 107 computations (44% saved)

regimes23.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

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)

regimes40.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
5.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
4.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes5.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	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 x #s(literal -12 binary64))
(/.f64 x #s(literal -1/12 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 9 binary64)))

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

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

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -30.3b remaining (-95.6%)

Threshold costs -30.3b (-95.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 3 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
50.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.18975071841882268	126008459.02020957
22.0ms	-160293553.31117567	-0.0006460340543084757

Results

28.0ms

304×

valid

Compiler

Compiled 322 to 260 computations (19.3% saved)

Precisions

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

ival-mult: 8.0ms (60.2% of total)

ival-sub: 3.0ms (22.6% of total)

ival-add: 1.0ms (7.5% of total)

const: 1.0ms (7.5% of total)

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

bsearch51.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.18975071841882268	126008459.02020957
32.0ms	-160293553.31117567	-0.0006460340543084757

Results

36.0ms

304×

valid

Compiler

Compiled 284 to 222 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 22.0ms (82.5% of total)

ival-sub: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

const: 1.0ms (3.8% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.18975071841882268	126008459.02020957
19.0ms	-160293553.31117567	-0.0006460340543084757

Results

24.0ms

304×

valid

Compiler

Compiled 208 to 165 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (66.2% of total)

ival-sub: 2.0ms (13.2% of total)

ival-add: 2.0ms (13.2% of total)

const: 1.0ms (6.6% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.18975071841882268	126008459.02020957
17.0ms	-160293553.31117567	-0.0006460340543084757

Results

25.0ms

304×

valid

Compiler

Compiled 208 to 165 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 12.0ms (76.9% of total)

ival-sub: 2.0ms (12.8% of total)

ival-add: 1.0ms (6.4% of total)

const: 1.0ms (6.4% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	96
1	55	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.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 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 #s(literal -12 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))) (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 x (.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))
#s(literal 3 binary64)

Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))))
(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 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))) (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 x (.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))
#s(literal 3 binary64)

soundness1.4s (16.6%)

Rules

4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
3684×	`/-lowering-/.f32`
3684×	`/-lowering-/.f64`
2586×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	109	54
2	914	49
0	8328	49
0	58	918
1	166	813
2	442	751
3	1260	751
4	3137	751
5	6640	751
0	8380	751
0	55	609
1	158	542
2	417	542
3	1071	494
4	3158	494
5	7154	494
0	8055	494
0	10	12
1	33	10
2	83	9
3	210	8
4	434	7
5	715	7
6	1284	7
7	2831	7
8	5877	7
9	7509	7
10	7920	7
0	8117	7

Stop Event

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

Compiler

Compiled 228 to 126 computations (44.7% saved)

preprocess45.0ms (0.5%)

Compiler: Compiled 266 to 104 computations (60.9% saved)

Iter	Nodes	Cost
0	22	107
1	48	104
2	95	104
3	138	104
4	193	104
5	266	104
6	284	104
7	307	104
8	309	104
0	309	104

Iter	Nodes	Cost
0	17	56
1	38	53
2	87	51
3	144	50
4	188	49
5	215	49
6	248	49
7	277	49
8	329	49
9	370	49
10	383	49
11	394	49
0	394	49

Iter	Nodes	Cost
0	22	107
1	48	104
2	95	104
3	138	104
4	193	104
5	266	104
6	284	104
7	307	104
8	309	104
0	309	104

Iter	Nodes	Cost
0	17	56
1	38	53
2	87	51
3	144	50
4	188	49
5	215	49
6	248	49
7	277	49
8	329	49
9	370	49
10	383	49
11	394	49
0	394	49

analyze0.0ms (0%)

sample1.2s (14.6%)

preprocess251.0ms (3%)

explain119.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify187.0ms (2.2%)

localize82.0ms (1%)

series9.0ms (0.1%)

rewrite358.0ms (4.2%)

simplify244.0ms (2.9%)

eval46.0ms (0.5%)

prune36.0ms (0.4%)

simplify17.0ms (0.2%)

localize213.0ms (2.5%)

series7.0ms (0.1%)

rewrite375.0ms (4.4%)

simplify206.0ms (2.4%)

eval144.0ms (1.7%)

prune71.0ms (0.8%)

simplify8.0ms (0.1%)

localize171.0ms (2%)

series4.0ms (0%)

rewrite744.0ms (8.8%)

simplify579.0ms (6.9%)

eval80.0ms (0.9%)

prune131.0ms (1.6%)

simplify18.0ms (0.2%)

localize253.0ms (3%)

series3.0ms (0%)

rewrite312.0ms (3.7%)

simplify232.0ms (2.7%)

eval524.0ms (6.2%)

prune81.0ms (1%)

regimes23.0ms (0.3%)

regimes40.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch42.0ms (0.5%)

bsearch51.0ms (0.6%)

bsearch39.0ms (0.5%)

bsearch39.0ms (0.5%)

simplify10.0ms (0.1%)

soundness1.4s (16.6%)

preprocess45.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	107
1	48	104
2	95	104
3	138	104
4	193	104
5	266	104
6	284	104
7	307	104
8	309	104
0	309	104

Iter	Nodes	Cost
0	17	56
1	38	53
2	87	51
3	144	50
4	188	49
5	215	49
6	248	49
7	277	49
8	329	49
9	370	49
10	383	49
11	394	49
0	394	49