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

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 11 to 8 computations (27.3% saved)

Precisions

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

ival-sub: 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)

sample739.0ms (8.8%)

Results

458.0ms	7621×	0	valid
43.0ms	284×	2	valid
38.0ms	351×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-mult: 242.0ms (75.1% of total)

ival-sub: 55.0ms (17.1% of total)

const: 14.0ms (4.3% of total)

backward-pass: 11.0ms (3.4% of total)

Bogosity

preprocess161.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1854×	`fma-define`
1770×	`fnmadd-define`
1744×	`fnmadd-define`
1718×	`fma-define`
1308×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	43	27
2	117	21
3	432	18
4	1483	18
5	4146	18
6	5812	18
7	5872	18
8	5898	18
9	5898	18
0	7	9
1	17	9
2	42	7
3	102	6
4	233	6
5	389	6
6	676	6
7	1034	6
8	2602	6
9	3049	6
10	3668	6
11	4897	6
12	5397	6
13	5413	6
14	5413	6
0	5413	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (* 3 (- 2 (* x 3))) x)

Outputs
(* (* 3 (- 2 (* x 3))) x)
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Call 2

Inputs
(* (* 3 (- 2 (* x 3))) x)
(* (* 3 (- 2 (* (neg x) 3))) (neg x))
(neg (* (* 3 (- 2 (* (neg x) 3))) (neg x)))

Outputs
(* (* 3 (- 2 (* x 3))) x)
(* x (fnmsub x 9 -6))
(* (* 3 (- 2 (* (neg x) 3))) (neg x))
(* x (fnmsub x 9 6))
(neg (* (* 3 (- 2 (* (neg x) 3))) (neg x)))
(* x (fnmsub x -9 -6))

explain93.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 2 binary64)`
-	-	`(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))`
-	-	`(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))`

Results

39.0ms	438×	0	valid
8.0ms	36×	2	valid
5.0ms	38×	1	valid

Compiler

Compiled 68 to 23 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 13.0ms (46% of total)

ival-sub: 12.0ms (42.4% of total)

backward-pass: 2.0ms (7.1% of total)

const: 1.0ms (3.5% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
▶	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	128	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Rules

1854×	`fma-define`
1770×	`fnmadd-define`
1308×	`sum3-define`
1002×	`fmsub-define`
1000×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	31	37
2	67	36
3	128	36
4	254	36
5	404	36
6	691	36
7	1049	36
8	2617	36
9	3064	36
10	3683	36
11	4914	36
12	5414	36
13	5430	36
14	5430	36
0	5430	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (+ 6 (* x -9)))
x
(+ 6 (* x -9))
6
(* x -9)
-9
(* (* 3 (- 2 (* x 3))) x)
(* 3 (- 2 (* x 3)))
3
(- 2 (* x 3))
2
(* x 3)
x

Outputs
(* x (+ 6 (* x -9)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
x
(+ 6 (* x -9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
6
#s(literal 6 binary64)
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
(* (* 3 (- 2 (* x 3))) x)
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* 3 (- 2 (* x 3)))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
3
#s(literal 3 binary64)
(- 2 (* x 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
x

localize61.0ms (0.7%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Results

28.0ms	219×	0	valid
10.0ms	19×	1	valid
9.0ms	18×	2	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (69.6% of total)

ival-add: 2.0ms (10.7% of total)

ival-sub: 2.0ms (10.7% of total)

const: 1.0ms (5.4% of total)

backward-pass: 1.0ms (5.4% of total)

series6.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (* x (+ 6 (* x -9)))>
#<alt (+ 6 (* x -9))>
#<alt (* x -9)>
#<alt (* (* 3 (- 2 (* x 3))) x)>
#<alt (* 3 (- 2 (* x 3)))>
#<alt (- 2 (* x 3))>
#<alt (* x 3)>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 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

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* 3 (- 2 (* x 3))) x)
1.0ms	x	@	-inf	(* x (+ 6 (* x -9)))
1.0ms	x	@	inf	(* x (+ 6 (* x -9)))
0.0ms	x	@	0	(* (* 3 (- 2 (* x 3))) x)
0.0ms	x	@	0	(* x (+ 6 (* x -9)))

rewrite382.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3688×	`-lowering-.f32`
3688×	`-lowering-.f64`
1662×	`fma-lowering-fma.f32`
1662×	`fma-lowering-fma.f64`
1614×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	59	31
2	419	30
3	3704	30
0	8446	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 441

Calls

Call 1

Inputs
(* x (+ 6 (* x -9)))
(+ 6 (* x -9))
(* x -9)
(* (* 3 (- 2 (* x 3))) x)
(* 3 (- 2 (* x 3)))
(- 2 (* x 3))
(* x 3)

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -54 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))) (neg.f64 (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 (.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 x (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) #s(literal -216 binary64))) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 24 binary64) (.f64 #s(literal 3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 12 binary64) (.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 (neg.f64 (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) #s(literal -216 binary64)) x) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
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(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify154.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1948×	`-lowering-.f32`
1948×	`-lowering-.f64`
1236×	`sum5-define`
1174×	`fmsub-define`
1144×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	380
1	87	335
2	186	335
3	458	335
4	1124	335
5	1655	335
6	3366	335
0	8319	335

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 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
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 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))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

eval80.0ms (1%)

Compiler: Compiled 11104 to 1016 computations (90.9% saved)

prune54.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	513	12	525
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	514	13	527

Accuracy

100.0%

Counts

527 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
	88.6%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
▶	88.1%	(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
	99.7%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
	65.4%	(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
	98.8%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
	98.7%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x))
▶	99.7%	(.f64 (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
	50.2%	(.f64 (.f64 x #s(literal -9 binary64)) x)
▶	50.2%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
▶	53.1%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 302 to 220 computations (27.2% saved)

simplify154.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	cost-diff	0	(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	128	(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
✓	cost-diff	128	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	cost-diff	128	(.f64 (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))

Rules

2708×	`fma-define`
1696×	`fnmadd-define`
1680×	`sum3-define`
1168×	`fma-lowering-fma.f32`
1168×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	131
1	69	118
2	134	110
3	258	110
4	456	110
5	638	110
6	1031	110
7	1789	110
8	4865	110
9	5802	110
10	6611	110
0	8022	110

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (- 2 (* x 3))) 3)
(* x (- 2 (* x 3)))
x
(- 2 (* x 3))
2
(* x 3)
3
(* x 6)
x
6
(* (* 3 (* x -3)) x)
(* 3 (* x -3))
3
(* x -3)
x
-3
(/ x (/ 1 (+ 6 (* x -9))))
x
(/ 1 (+ 6 (* x -9)))
1
(+ 6 (* x -9))
6
(* x -9)
-9
(/ (* x (+ 36 (* (* x x) -81))) (+ 6 (* x 9)))
(* x (+ 36 (* (* x x) -81)))
x
(+ 36 (* (* x x) -81))
36
(* (* x x) -81)
(* x x)
-81
(+ 6 (* x 9))
6
(* x 9)
9

Outputs
(* (* x (- 2 (* x 3))) 3)
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
(* x (- 2 (* x 3)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -1/3 binary64))))
x
(- 2 (* x 3))
(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -1/3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(/.f64 x #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(* x 6)
(*.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(* (* 3 (* x -3)) x)
(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* 3 (* x -3))
(/.f64 x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(* x -3)
(/.f64 x #s(literal -1/3 binary64))
x
-3
#s(literal -3 binary64)
(/ x (/ 1 (+ 6 (* x -9))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
x
(/ 1 (+ 6 (* x -9)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
1
#s(literal 1 binary64)
(+ 6 (* x -9))
(+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))
6
#s(literal 6 binary64)
(* x -9)
(/.f64 x #s(literal -1/9 binary64))
-9
#s(literal -9 binary64)
(/ (* x (+ 36 (* (* x x) -81))) (+ 6 (* x 9)))
(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64))))) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))))
(* x (+ 36 (* (* x x) -81)))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
x
(+ 36 (* (* x x) -81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
36
#s(literal 36 binary64)
(* (* x x) -81)
(.f64 x (.f64 x #s(literal -81 binary64)))
(* x x)
(*.f64 x x)
-81
#s(literal -81 binary64)
(+ 6 (* x 9))
(+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64)))
6
#s(literal 6 binary64)
(* x 9)
(/.f64 x #s(literal 1/9 binary64))
9
#s(literal 9 binary64)

localize160.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	accuracy	88.1%	(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))

Results

73.0ms	178×	0	valid
27.0ms	34×	2	valid
22.0ms	43×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 132 to 30 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 35.0ms (61.8% of total)

ival-div: 7.0ms (12.4% of total)

backward-pass: 5.0ms (8.8% of total)

ival-add: 5.0ms (8.8% of total)

const: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

series11.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (* (* x (- 2 (* x 3))) 3)>
#<alt (* x (- 2 (* x 3)))>
#<alt (- 2 (* x 3))>
#<alt (* x 3)>
#<alt (* x 6)>
#<alt (* (* 3 (* x -3)) x)>
#<alt (* 3 (* x -3))>
#<alt (* x -3)>
#<alt (/ x (/ 1 (+ 6 (* x -9))))>
#<alt (/ 1 (+ 6 (* x -9)))>
#<alt (+ 6 (* x -9))>
#<alt (* x -9)>
#<alt (/ (* x (+ 36 (* (* x x) -81))) (+ 6 (* x 9)))>
#<alt (* x (+ 36 (* (* x x) -81)))>
#<alt (+ 36 (* (* x x) -81))>
#<alt (* (* x x) -81)>
#<alt (+ 6 (* x 9))>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -3 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 (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))>
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* 36 x)>
#<alt (* x (+ 36 (* -81 (pow x 2))))>
#<alt (* x (+ 36 (* -81 (pow x 2))))>
#<alt (* x (+ 36 (* -81 (pow x 2))))>
#<alt (* -81 (pow x 3))>
#<alt (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))>
#<alt 36>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<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 6>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (* x (+ 36 (* (* x x) -81))) (+ 6 (* x 9)))
1.0ms	x	@	inf	(/ (* x (+ 36 (* (* x x) -81))) (+ 6 (* x 9)))
0.0ms	x	@	-inf	(/ (* x (+ 36 (* (* x x) -81))) (+ 6 (* x 9)))
0.0ms	x	@	0	(* (* 3 (* x -3)) x)
0.0ms	x	@	-inf	(* x 6)

rewrite415.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4378×	`-lowering-.f32`
4378×	`-lowering-.f64`
2724×	`/-lowering-/.f32`
2724×	`/-lowering-/.f64`
1398×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	102
1	142	91
2	1018	80
0	9600	80

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1366

Calls

Call 1

Inputs
(* (* x (- 2 (* x 3))) 3)
(* x (- 2 (* x 3)))
(- 2 (* x 3))
(* x 3)
(* x 6)
(* (* 3 (* x -3)) x)
(* 3 (* x -3))
(* x -3)
(/ x (/ 1 (+ 6 (* x -9))))
(/ 1 (+ 6 (* x -9)))
(+ 6 (* x -9))
(* x -9)
(/ (* x (+ 36 (* (* x x) -81))) (+ 6 (* x 9)))
(* x (+ 36 (* (* x x) -81)))
(+ 36 (* (* x x) -81))
(* (* x x) -81)
(+ 6 (* x 9))

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 (.f64 x x) (.f64 x #s(literal -81 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 (.f64 x x) (.f64 x #s(literal -81 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 36 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) #s(literal 36 binary64)) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)))) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) #s(literal 36 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (.f64 x #s(literal -9 binary64))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (*.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) #s(literal 6 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 (.f64 x #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(+.f64 (.f64 #s(literal 36 binary64) (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))) (.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))) (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
(+.f64 (.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))) (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))) (.f64 #s(literal 36 binary64) (/.f64 (.f64 x (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
(+.f64 (.f64 #s(literal 6 binary64) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)))) (.f64 (.f64 x #s(literal -9 binary64)) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (*.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal -9 binary64)) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 (.f64 x (*.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 81 binary64) x))) (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (.f64 x (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 x (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(neg.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(neg.f64 (/.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 4 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)))) (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
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(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)))) #s(literal -46656 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))) #s(literal -1296 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
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(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -6561 binary64)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal -81 binary64))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -81 binary64))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))) (+.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal -81 binary64))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) (+.f64 #s(literal 36 binary64) (*.f64 #s(literal 54 binary64) x)))))
(.f64 (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))))))
(.f64 (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -6561 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 #s(literal 81 binary64) x))))))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)))))))
(.f64 (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (*.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(.f64 (.f64 (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -531441 binary64)))) (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -6561 binary64))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)))))))
(.f64 (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
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(.f64 (.f64 (/.f64 (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (*.f64 #s(literal 81 binary64) x) #s(literal 54 binary64))))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64)) (+.f64 (.f64 x (.f64 #s(literal 81 binary64) x)) #s(literal -36 binary64))) (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(.f64 (.f64 (-.f64 #s(literal 36 binary64) (.f64 x (.f64 #s(literal 81 binary64) x))) (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)))

simplify222.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2124×	`-lowering-.f32`
2124×	`-lowering-.f64`
1714×	`fma-lowering-fma.f32`
1714×	`fma-lowering-fma.f64`
1694×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1038
1	308	947
2	751	941
3	1796	941
4	4097	941
0	8223	941

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 2 x)
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 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)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 36 x)
(* x (+ 36 (* -81 (pow x 2))))
(* x (+ 36 (* -81 (pow x 2))))
(* x (+ 36 (* -81 (pow x 2))))
(* -81 (pow x 3))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 3))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
36
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* -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))
6
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -3 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* x (+ 2 (* -3 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* x (+ 2 (* -3 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* -3 (pow x 2))
(.f64 x (.f64 x #s(literal -3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* -3 (pow x 2))
(.f64 x (.f64 x #s(literal -3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 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)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 3/8 binary64)))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal 9/16 binary64)))))))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x) #s(literal -2/27 binary64)) x)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x) #s(literal -2/27 binary64)) x)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 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))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* x (+ 36 (* -81 (pow x 2))))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* x (+ 36 (* -81 (pow x 2))))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* x (+ 36 (* -81 (pow x 2))))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -81 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -81 binary64))))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -81 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -81 binary64))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
(* -1 (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal -81 binary64)))))
36
#s(literal 36 binary64)
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(.f64 x (.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 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)))
6
#s(literal 6 binary64)
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))

eval283.0ms (3.4%)

Compiler: Compiled 35909 to 2644 computations (92.6% saved)

prune127.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1563	7	1570
Fresh	4	3	7
Picked	3	2	5
Done	0	1	1
Total	1570	13	1583

Accuracy

100.0%

Counts

1583 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
▶	50.2%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
▶	52.9%	(/.f64 x #s(literal 1/6 binary64))
	52.9%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) x))
	50.2%	(*.f64 (/.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) x)) x)
▶	99.7%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
	65.4%	(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
✓	99.7%	(.f64 (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
▶	50.3%	(.f64 (.f64 x x) #s(literal -9 binary64))
	50.2%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.1%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 202 to 146 computations (27.7% saved)

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 36 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 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 x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))

Rules

1816×	`fnmadd-define`
1582×	`fma-define`
1486×	`fmsub-define`
1454×	`fnmsub-define`
1294×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	40	67
2	76	65
3	145	64
4	283	63
5	430	63
6	653	63
7	1026	63
8	2691	63
9	3202	63
10	3817	63
11	4782	63
12	5138	63
13	5943	63
14	6147	63
15	6284	63
16	6475	63
17	6968	63
18	7000	63
0	7000	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (- 2 (* x 3)) (* x 3))
(- 2 (* x 3))
2
(* x 3)
x
3
(/ x 1/6)
x
1/6
(* (* x x) -9)
(* x x)
x
-9
(/ x (/ -1/9 x))
x
(/ -1/9 x)
-1/9
(/ (* x 36) (+ 6 (* x 9)))
(* x 36)
x
36
(+ 6 (* x 9))
6
(* x 9)
9

Outputs
(* (- 2 (* x 3)) (* x 3))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
(- 2 (* x 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(/ x 1/6)
(/.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(* (* x x) -9)
(*.f64 x (/.f64 x #s(literal -1/9 binary64)))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(/ x (/ -1/9 x))
(*.f64 x (/.f64 x #s(literal -1/9 binary64)))
x
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
(/ (* x 36) (+ 6 (* x 9)))
(*.f64 (/.f64 x (+.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -6 binary64))) #s(literal -36 binary64))
(* x 36)
(*.f64 x #s(literal 36 binary64))
x
36
#s(literal 36 binary64)
(+ 6 (* x 9))
(+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64)))
6
#s(literal 6 binary64)
(* x 9)
(/.f64 x #s(literal 1/9 binary64))
9
#s(literal 9 binary64)

localize247.0ms (2.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 36 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	99.1%	(/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	99.7%	(/.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))

Results

168.0ms	85×	5	exit
47.0ms	165×	0	valid
2.0ms	4×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 71 to 22 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-div: 50.0ms (32% of total)

backward-pass: 48.0ms (30.7% of total)

...c/correct-round.rkt:119:19: 27.0ms (17.3% of total)

ival-mult: 22.0ms (14.1% of total)

ival-sub: 4.0ms (2.6% of total)

const: 2.0ms (1.3% of total)

ival-add: 2.0ms (1.3% of total)

series4.0ms (0%)

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (* (- 2 (* x 3)) (* x 3))>
#<alt (- 2 (* x 3))>
#<alt (* x 3)>
#<alt (/ x 1/6)>
#<alt (* (* x x) -9)>
#<alt (* x x)>
#<alt (/ x (/ -1/9 x))>
#<alt (/ -1/9 x)>
#<alt (/ (* x 36) (+ 6 (* x 9)))>
#<alt (* x 36)>
#<alt (+ 6 (* x 9))>
#<alt (* x 9)>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 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 (/ -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 (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* x (- (* 27/2 x) 9))))>
#<alt (* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))>
#<alt 4>
#<alt (- 4 (* 8/3 (/ 1 x)))>
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))>
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))>
#<alt 4>
#<alt (- 4 (* 8/3 (/ 1 x)))>
#<alt (+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))>
#<alt (+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt 6>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 36)
0.0ms	x	@	0	(/ -1/9 x)
0.0ms	x	@	inf	(* x 36)
0.0ms	x	@	0	(* x 36)
0.0ms	x	@	inf	(/ -1/9 x)

rewrite521.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2954×	`-lowering-.f32`
2954×	`-lowering-.f64`
2146×	`/-lowering-/.f32`
2146×	`/-lowering-/.f64`
1650×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	95	54
2	580	52
3	5015	52
0	8234	52

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 476

Calls

Call 1

Inputs
(* (- 2 (* x 3)) (* x 3))
(- 2 (* x 3))
(* x 3)
(/ x 1/6)
(* (* x x) -9)
(* x x)
(/ x (/ -1/9 x))
(/ -1/9 x)
(/ (* x 36) (+ 6 (* x 9)))
(* x 36)
(+ 6 (* x 9))
(* x 9)

Outputs
(+.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 x #s(literal 1/6 binary64)))
(-.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 x #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 6 binary64) x (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -6 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))))) (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 (.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))))) (+.f64 (neg.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))))) #s(literal -4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))))))
(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))) (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -8 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))))) (+.f64 (neg.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))))) #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))) (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))))) (+.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal 216 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 46656 binary64) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)))))) (-.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 46656 binary64) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))))))
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(*.f64 (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))))
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(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -6 binary64)))
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(-.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 -9 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -9 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -9 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/9 binary64)))

simplify216.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1748×	`-lowering-.f32`
1748×	`-lowering-.f64`
1650×	`fnmadd-define`
1434×	`fmsub-define`
1376×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	618
1	227	583
2	508	577
3	1139	575
4	2957	575
0	8140	575

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 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)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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))
(/ -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)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* x (- (* 27/2 x) 9))))
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))
4
(- 4 (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
4
(- 4 (* 8/3 (/ 1 x)))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
6
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(/ -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)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* x (- (* 27/2 x) 9))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27/2 binary64))))))
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x (+.f64 #s(literal -9 binary64) (.f64 x (+.f64 #s(literal 27/2 binary64) (.f64 x #s(literal -81/4 binary64))))))))
4
#s(literal 4 binary64)
(- 4 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x))
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
4
#s(literal 4 binary64)
(- 4 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
6
#s(literal 6 binary64)
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 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))

eval78.0ms (0.9%)

Compiler: Compiled 9059 to 1098 computations (87.9% saved)

prune55.0ms (0.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	629	5	634
Fresh	3	2	5
Picked	1	4	5
Done	0	3	3
Total	633	14	647

Accuracy

100.0%

Counts

647 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
▶	53.0%	(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
✓	50.2%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	52.9%	(/.f64 x #s(literal 1/6 binary64))
▶	52.9%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
▶	52.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
	51.9%	(.f64 (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))) (/.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))))
✓	99.7%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
✓	99.7%	(.f64 (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
✓	50.3%	(.f64 (.f64 x x) #s(literal -9 binary64))
▶	50.2%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.1%	(*.f64 x #s(literal 6 binary64))
▶	2.4%	#s(literal 4 binary64)

Compiler

Compiled 156 to 117 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1/6 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	cost-diff	0	(*.f64 x #s(literal 36 binary64))
✓	cost-diff	128	(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))

Rules

26×	`-lowering-.f32`
26×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
10×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	28	37
2	33	37
3	34	37
0	34	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x 36) 6)
(* x 36)
x
36
6
4
(* (* x -9) x)
(* x -9)
x
-9
(/ 1 (/ 1/6 x))
1
(/ 1/6 x)
1/6
x
(/ 6 (/ 1 x))
6
(/ 1 x)
1
x

Outputs
(/ (* x 36) 6)
(*.f64 x #s(literal 6 binary64))
(* x 36)
(*.f64 x #s(literal 36 binary64))
x
36
#s(literal 36 binary64)
6
#s(literal 6 binary64)
4
#s(literal 4 binary64)
(* (* x -9) x)
(.f64 #s(literal -9 binary64) (.f64 x x))
(* x -9)
(*.f64 x #s(literal -9 binary64))
x
-9
#s(literal -9 binary64)
(/ 1 (/ 1/6 x))
(*.f64 x #s(literal 6 binary64))
1
#s(literal 1 binary64)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
1/6
#s(literal 1/6 binary64)
x
(/ 6 (/ 1 x))
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize192.0ms (2.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1/6 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 36 binary64))
✓	accuracy	99.9%	(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))

Results

146.0ms	85×	5	exit
25.0ms	171×	0	valid

Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 32.0ms (46.2% of total)

...c/correct-round.rkt:119:19: 19.0ms (27.4% of total)

backward-pass: 9.0ms (13% of total)

ival-mult: 7.0ms (10.1% of total)

const: 2.0ms (2.9% of total)

series2.0ms (0%)

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (/ (* x 36) 6)>
#<alt (* x 36)>
#<alt (* (* x -9) x)>
#<alt (* x -9)>
#<alt (/ 1 (/ 1/6 x))>
#<alt (/ 1/6 x)>
#<alt (/ 6 (/ 1 x))>
#<alt (/ 1 x)>

Outputs
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* 36 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 1/6 x)
0.0ms	x	@	inf	(/ 1/6 x)
0.0ms	x	@	-inf	(/ 1/6 x)
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 1 x)

rewrite239.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2090×	`-lowering-.f32`
2090×	`-lowering-.f64`
1558×	`/-lowering-/.f32`
1558×	`/-lowering-/.f64`
1164×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	61	25
2	217	25
3	835	25
4	5963	25
0	8159	25

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1000

Calls

Call 1

Inputs
(/ (* x 36) 6)
(* x 36)
(* (* x -9) x)
(* x -9)
(/ 1 (/ 1/6 x))
(/ 1/6 x)
(/ 6 (/ 1 x))
(/ 1 x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/6 binary64)))
(exp.f64 (log.f64 (/.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/36 binary64) (.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/6 binary64)))
(neg.f64 (/.f64 x #s(literal 1/6 binary64)))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 x #s(literal -1/6 binary64))
(/.f64 #s(literal 36 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal -6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/36 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/36 binary64) x))
(/.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -36 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))
(/.f64 (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 46656 binary64)) (.f64 #s(literal -6 binary64) (.f64 (.f64 x x) #s(literal 1296 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 46656 binary64)) (.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1296 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1296 binary64)) (.f64 #s(literal 6 binary64) (.f64 x #s(literal 36 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1296 binary64)) (.f64 #s(literal -6 binary64) (.f64 x #s(literal 36 binary64))))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x #s(literal 1/6 binary64)))) (/.f64 x #s(literal 1/6 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -6 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) x)
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 46656 binary64))) (.f64 (.f64 x x) #s(literal 1296 binary64)))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1296 binary64))) (.f64 x #s(literal 36 binary64)))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 46656 binary64))) (.f64 (.f64 x x) #s(literal 1296 binary64)))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1296 binary64))) (.f64 x #s(literal 36 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6 binary64)) (.f64 x x))
(/.f64 (.f64 (.f64 x x) #s(literal -6 binary64)) x)
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 46656 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal 1296 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1296 binary64)) #s(literal -1/6 binary64)) (.f64 x #s(literal 36 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 6 binary64)) (.f64 x x))
(/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) x)
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 46656 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1296 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1296 binary64)) #s(literal 1/6 binary64)) (.f64 x #s(literal 36 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) x)) #s(literal 6 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) x)) #s(literal -6 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/6 binary64) x)))
(*.f64 x #s(literal 6 binary64))
(*.f64 x #s(literal -6 binary64))
(*.f64 x (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 36 binary64) (/.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 36 binary64) (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 36 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 6 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 36 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal -6 binary64) x)
(.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 36 binary64)))
(*.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))))
(.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -36 binary64) (/.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal -36 binary64) (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 36 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -36 binary64))
(.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))))
(.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))))
(.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))))
(.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1/6 binary64)))
(.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))))
(.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))))
(.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))))
(.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64)))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 36 binary64))
(.f64 (pow.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (sqrt.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 36 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x)
(.f64 (.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64))) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))) (sqrt.f64 (/.f64 x #s(literal 1/6 binary64))))
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(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
8×	`*-commutative`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	300
1	22	300
2	24	300
0	24	300

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* 36 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* 36 x)
(*.f64 x #s(literal 36 binary64))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval150.0ms (1.8%)

Compiler: Compiled 10734 to 1431 computations (86.7% saved)

prune86.0ms (1%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	1095	1	1096
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	1095	15	1110

Accuracy

100.0%

Counts

1110 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
✓	53.0%	(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
✓	50.2%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	52.9%	(/.f64 x #s(literal 1/6 binary64))
	4.2%	(/.f64 x #s(literal -1/6 binary64))
✓	52.9%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	52.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
	51.9%	(.f64 (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))) (/.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))))
✓	99.7%	(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
✓	99.7%	(.f64 (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
✓	50.3%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	50.2%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.1%	(*.f64 x #s(literal 6 binary64))
✓	2.4%	#s(literal 4 binary64)

Compiler

Compiled 343 to 165 computations (51.9% saved)

regimes18.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal -1/6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal -9 binary64)) x)
(.f64 (.f64 x x) #s(literal -9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(*.f64 (/.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 x #s(literal 36 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) x))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))) (/.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (/.f64 x (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))

Outputs
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Calls

2 calls:

10.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
7.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal -1/6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal -9 binary64)) x)
(.f64 (.f64 x x) #s(literal -9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))

Outputs
(.f64 (.f64 x #s(literal -9 binary64)) x)
(*.f64 x #s(literal 6 binary64))
(.f64 (.f64 x x) #s(literal -9 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal -1/6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal -9 binary64)) x)

Outputs
(.f64 (.f64 x #s(literal -9 binary64)) x)
(*.f64 x #s(literal 6 binary64))
(.f64 (.f64 x #s(literal -9 binary64)) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal -1/6 binary64))
(/.f64 x #s(literal 1/6 binary64))

Outputs
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal -1/6 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))

Outputs
(*.f64 x #s(literal 6 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)

Outputs
#s(literal 4 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
2.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.1483908409299783e-8	96.33556320185215
13.0ms	-2.4902133193106892	-3.0747364306734503e-12

Results

16.0ms

304×

valid

Compiler

Compiled 242 to 181 computations (25.2% saved)

Precisions

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

ival-mult: 7.0ms (76.8% of total)

ival-sub: 1.0ms (11% of total)

const: 1.0ms (11% of total)

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

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.1483908409299783e-8	96.33556320185215
15.0ms	-2.4902133193106892	-3.0747364306734503e-12

Results

15.0ms

304×

valid

Compiler

Compiled 242 to 181 computations (25.2% saved)

Precisions

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

ival-mult: 6.0ms (72.5% of total)

ival-sub: 2.0ms (24.2% of total)

const: 1.0ms (12.1% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.1483908409299783e-8	96.33556320185215

Results

7.0ms

144×

valid

Compiler

Compiled 104 to 82 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (76.3% of total)

ival-sub: 1.0ms (25.4% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	59
1	31	59

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (.f64 (.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (.f64 (.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x #s(literal -9 binary64)) x)))
(if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

Outputs
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (.f64 (.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (.f64 (.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x #s(literal -9 binary64)) x)))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

soundness3.0s (36.1%)

Rules

4378×	`-lowering-.f32`
4378×	`-lowering-.f64`
3688×	`-lowering-.f32`
3688×	`-lowering-.f64`
2724×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	380
1	87	335
2	186	335
3	458	335
4	1124	335
5	1655	335
6	3366	335
0	8319	335
0	14	25
1	61	25
2	217	25
3	835	25
4	5963	25
0	8159	25
0	12	35
1	59	31
2	419	30
3	3704	30
0	8446	30
0	77	618
1	227	583
2	508	577
3	1139	575
4	2957	575
0	8140	575
0	108	1038
1	308	947
2	751	941
3	1796	941
4	4097	941
0	8223	941
0	29	102
1	142	91
2	1018	80
0	9600	80
0	7	9
1	17	9
2	42	7
3	102	6
4	233	6
5	389	6
6	676	6
7	1034	6
8	2602	6
9	3049	6
10	3668	6
11	4897	6
12	5397	6
13	5413	6
14	5413	6
0	5413	6

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
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 196 to 122 computations (37.8% saved)

preprocess55.0ms (0.7%)

Compiler: Compiled 168 to 72 computations (57.1% saved)

analyze0.0ms (0%)

sample739.0ms (8.8%)

preprocess161.0ms (1.9%)

explain93.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify100.0ms (1.2%)

localize61.0ms (0.7%)

series6.0ms (0.1%)

rewrite382.0ms (4.5%)

simplify154.0ms (1.8%)

eval80.0ms (1%)

prune54.0ms (0.6%)

simplify154.0ms (1.8%)

localize160.0ms (1.9%)

series11.0ms (0.1%)

rewrite415.0ms (4.9%)

simplify222.0ms (2.6%)

eval283.0ms (3.4%)

prune127.0ms (1.5%)

simplify162.0ms (1.9%)

localize247.0ms (2.9%)

series4.0ms (0%)

rewrite521.0ms (6.2%)

simplify216.0ms (2.6%)

eval78.0ms (0.9%)

prune55.0ms (0.7%)

simplify6.0ms (0.1%)

localize192.0ms (2.3%)

series2.0ms (0%)

rewrite239.0ms (2.8%)

simplify17.0ms (0.2%)

eval150.0ms (1.8%)

prune86.0ms (1%)

regimes18.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch28.0ms (0.3%)

bsearch60.0ms (0.7%)

bsearch13.0ms (0.2%)

simplify11.0ms (0.1%)

soundness3.0s (36.1%)

preprocess55.0ms (0.7%)

end0.0ms (0%)

Profiling