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)

sample772.0ms (8.4%)

Results

486.0ms	7613×	0	valid
62.0ms	297×	2	valid
38.0ms	346×	1	valid

Precisions

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

ival-mult: 218.0ms (67.8% of total)

ival-sub: 68.0ms (21.1% of total)

backward-pass: 20.0ms (6.2% of total)

const: 16.0ms (5% of total)

Bogosity

preprocess353.0ms (3.9%)

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	4150	18
6	5803	18
7	5863	18
8	5889	18
9	5889	18
0	7	9
1	17	9
2	42	7
3	102	6
4	233	6
5	391	6
6	678	6
7	1036	6
8	2604	6
9	3051	6
10	3670	6
11	4900	6
12	5401	6
13	5417	6
14	5417	6
0	5417	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))

explain116.0ms (1.3%)

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

37.0ms	420×	0	valid
26.0ms	44×	2	valid
10.0ms	48×	1	valid

Compiler

Compiled 68 to 23 computations (66.2% saved)

Precisions

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

ival-mult: 13.0ms (57% of total)

ival-sub: 6.0ms (26.3% of total)

backward-pass: 3.0ms (13.1% of total)

const: 1.0ms (4.4% 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 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
16×	`fma-lowering-fma.f32`
16×	`fma-define`
16×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	15	16
2	27	16
3	32	16
0	32	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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)

localize32.0ms (0.3%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Results

18.0ms	229×	0	valid
3.0ms	14×	2	valid
2.0ms	13×	1	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (55.1% of total)

ival-add: 2.0ms (27.6% of total)

const: 1.0ms (13.8% of total)

backward-pass: 1.0ms (13.8% of total)

series3.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

Calls

9 calls:

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

rewrite352.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4068×	`/-lowering-/.f32`
4068×	`/-lowering-/.f64`
4046×	`-lowering-.f32`
4046×	`-lowering-.f64`
1976×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	30	13
2	222	13
3	1809	13
0	9050	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 256

Calls

Call 1

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

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 (.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))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 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 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.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 (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x)))) (+.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 #s(literal 36 binary64) (.f64 x x)) (.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 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.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 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.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 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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 (neg.f64 (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.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 (neg.f64 (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (+.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 (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 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (.f64 #s(literal 36 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64))) (-.f64 #s(literal 0 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) (neg.f64 (.f64 (.f64 x x) #s(literal -81 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 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 (.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 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -81 binary64)))) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 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 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(/.f64 (-.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 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)))) (.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 (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.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 (neg.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 (neg.f64 (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (.f64 #s(literal 36 binary64) (.f64 x x)))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -81 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)))) (neg.f64 (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -81 binary64)))) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
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(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -387420489 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (+.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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 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 (.f64 x x) #s(literal -81 binary64)))) (/.f64 (/.f64 #s(literal 1 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))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (/.f64 (/.f64 #s(literal 1 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))))))) (-.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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -387420489 binary64))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))) (/.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) #s(literal 36 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -387420489 binary64))) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))) (/.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (-.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #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 46656 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #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 1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) #s(literal 36 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 1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #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 x #s(literal 81 binary64)) #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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 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 (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))))) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)))) (/.f64 (/.f64 #s(literal 1 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))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -81 binary64)))))) (/.f64 (/.f64 #s(literal 1 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))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 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 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 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))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)))) (/.f64 (/.f64 #s(literal 1 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))))))) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 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 x #s(literal 81 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 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 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 x #s(literal 81 binary64))))) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(.f64 (/.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -81 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))) (-.f64 #s(literal 0 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 36 binary64) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 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 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 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 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 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 (.f64 x x) #s(literal -81 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (-.f64 #s(literal 36 binary64) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -9 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) x)
(*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -9 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal -9 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -9 binary64))) (exp.f64 (log.f64 x)))

simplify202.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1840×	`fmsub-define`
1836×	`fnmsub-define`
1646×	`fmm-def`
1474×	`fma-lowering-fma.f32`
1474×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	164
1	55	144
2	115	144
3	273	144
4	610	144
5	967	144
6	2297	144
7	6585	144
0	8088	144

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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)

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))))
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))

eval40.0ms (0.4%)

Compiler: Compiled 8457 to 854 computations (89.9% saved)

prune59.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	283	9	292
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	10	293

Accuracy

100.0%

Counts

293 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 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 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
	99.7%	(.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)))))
	99.5%	(.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 x (/.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))))
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
▶	52.1%	(.f64 x (.f64 x #s(literal -9 binary64)))
▶	50.9%	(*.f64 x #s(literal 6 binary64))
	52.1%	(.f64 #s(literal -9 binary64) (.f64 x x))

Compiler

Compiled 212 to 158 computations (25.5% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

138×	`-lowering-.f32`
138×	`-lowering-.f64`
92×	`fma-lowering-fma.f32`
92×	`fma-define`
92×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	133
1	39	122
2	63	122
3	87	122
4	119	122
5	155	122
6	167	122
7	184	122
8	185	122
0	185	122

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize187.0ms (2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 81 binary64)))
✓	accuracy	91.8%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 81 binary64)))
✓	accuracy	99.7%	(.f64 x (/.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))))
✓	accuracy	75.0%	(/.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)))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal -9 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.9%	(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal -9 binary64)))

Results

104.0ms	202×	0	valid
21.0ms	21×	2	valid
16.0ms	27×	1	valid
7.0ms	6×	3	valid

Compiler

Compiled 148 to 19 computations (87.2% saved)

Precisions

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

ival-mult: 16.0ms (49.3% of total)

ival-div: 5.0ms (15.4% of total)

backward-pass: 5.0ms (15.4% of total)

ival-add: 5.0ms (15.4% of total)

const: 1.0ms (3.1% of total)

series7.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite362.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

5268×	`-lowering-.f32`
5268×	`-lowering-.f64`
3150×	`/-lowering-/.f32`
3150×	`/-lowering-/.f64`
1374×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	93	52
2	750	52
0	8911	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 985

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 81 binary64) (.f64 x x)))) (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 x (.f64 #s(literal 81 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 x (.f64 #s(literal 81 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 #s(literal -36 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 x (.f64 #s(literal 81 binary64) (.f64 x x)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 #s(literal -36 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 x (.f64 #s(literal 81 binary64) (.f64 x x)))))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 (/.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) #s(literal -36 binary64)))
(+.f64 (.f64 (/.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) #s(literal -36 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 #s(literal 81 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64)))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (.f64 #s(literal 81 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (.f64 x #s(literal -9 binary64))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64))) #s(literal 6 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) #s(literal 6 binary64)) (.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -9 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 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)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 46656 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 46656 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (+.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 46656 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 46656 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64)))))))
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(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)))) #s(literal 1296 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal -36 binary64)) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (.f64 (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
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(/.f64 (.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (.f64 (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)))) #s(literal -10077696 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) (-.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 157464 binary64)))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (neg.f64 (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -36 binary64) (-.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))) (+.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 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -36 binary64) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal 216 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.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 #s(literal -36 binary64) (-.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -36 binary64) (-.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
(.f64 (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x 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 (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64))))))
(.f64 (+.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) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x 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 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (+.f64 #s(literal 216 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal -36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(.f64 (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(.f64 (/.f64 (+.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 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (/.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 54 binary64))))))
(.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 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))))
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(.f64 (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (*.f64 x x) #s(literal 2916 binary64)))))
(.f64 (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)))

simplify222.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2074×	`-lowering-.f32`
2074×	`-lowering-.f64`
1294×	`fma-lowering-fma.f32`
1294×	`fma-lowering-fma.f64`
1260×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	665
1	121	579
2	319	579
3	846	579
4	1845	579
5	4878	579
0	8130	579

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

eval191.0ms (2.1%)

Compiler: Compiled 39550 to 1987 computations (95% saved)

prune129.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1376	8	1384
Fresh	4	0	4
Picked	3	2	5
Done	0	1	1
Total	1383	11	1394

Accuracy

100.0%

Counts

1394 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) x))
▶	49.8%	(/.f64 (.f64 x #s(literal -36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
▶	99.8%	(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
	99.7%	(.f64 (/.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)))
▶	52.1%	(.f64 (.f64 x x) #s(literal -9 binary64))
▶	51.2%	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (.f64 x #s(literal -9 binary64))))
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	52.1%	(.f64 x (.f64 x #s(literal -9 binary64)))
✓	50.9%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 206 to 153 computations (25.7% saved)

simplify376.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 81 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) x))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 81 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (*.f64 x #s(literal -9 binary64)))
✓	cost-diff	256	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (.f64 x #s(literal -9 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -36 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal -36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))

Rules

4686×	`-lowering-.f32`
4686×	`-lowering-.f64`
3860×	`fma-define`
3644×	`fma-lowering-fma.f32`
3644×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	129
1	52	129
2	92	126
3	125	124
4	156	124
5	324	122
6	1090	120
7	3506	120
8	3951	120
9	3983	120
10	4009	120
11	4012	120
12	4012	120
13	7574	120
14	7659	120
15	7682	120
16	7682	120
0	9152	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ (* (* x x) -9) (* x 6))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (* x x) -9)
(.f64 x (.f64 x #s(literal -9 binary64)))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(* x 6)
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(* (* x x) -9)
(.f64 x (.f64 x #s(literal -9 binary64)))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(/ (* x -36) (+ (* x -9) -6))
(/.f64 (.f64 x #s(literal -36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(* x -36)
(*.f64 x #s(literal -36 binary64))
x
-36
#s(literal -36 binary64)
(+ (* x -9) -6)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
-6
#s(literal -6 binary64)
(* x (/ (+ (* x (* x 81)) -36) (* x -9)))
(+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
x
(/ (+ (* x (* x 81)) -36) (* x -9))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) x)
(+ (* x (* x 81)) -36)
(+.f64 #s(literal -36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))
(* x (* x 81))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* x 81)
(*.f64 x #s(literal 81 binary64))
81
#s(literal 81 binary64)
-36
#s(literal -36 binary64)
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
(/ (+ (* 81 (* x x)) -36) (/ (+ (* x -9) -6) x))
(/.f64 (.f64 x (+.f64 #s(literal -36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(+ (* 81 (* x x)) -36)
(+.f64 #s(literal -36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))
(* 81 (* x x))
(.f64 (.f64 x x) #s(literal 81 binary64))
81
#s(literal 81 binary64)
(* x x)
(*.f64 x x)
x
-36
#s(literal -36 binary64)
(/ (+ (* x -9) -6) x)
(/.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) x)
(+ (* x -9) -6)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
-6
#s(literal -6 binary64)

localize203.0ms (2.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) x)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) x))
✓	accuracy	99.7%	(.f64 #s(literal 81 binary64) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 81 binary64)))
✓	accuracy	99.8%	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (.f64 x #s(literal -9 binary64))))
✓	accuracy	75.9%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -36 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
✓	accuracy	99.8%	(/.f64 (.f64 x #s(literal -36 binary64)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	99.9%	(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))

Results

77.0ms	202×	0	valid
29.0ms	3×	3	valid
24.0ms	29×	1	valid
18.0ms	16×	2	valid
14.0ms	6×	5	exit

Compiler

Compiled 155 to 24 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-add: 32.0ms (45.6% of total)

ival-mult: 20.0ms (28.5% of total)

ival-div: 10.0ms (14.2% of total)

backward-pass: 7.0ms (10% of total)

const: 1.0ms (1.4% of total)

series7.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

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 (* -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 (* 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 (* 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 (- (* -9 x) 6)>
#<alt (- (* -9 x) 6)>
#<alt (- (* -9 x) 6)>
#<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 (* -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 4>
#<alt (+ 4 (* -9 (pow x 2)))>
#<alt (+ 4 (* -9 (pow x 2)))>
#<alt (+ 4 (* -9 (pow x 2)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -9 (pow x 2))) x)>
#<alt (/ (+ 4 (* -9 (pow x 2))) x)>
#<alt (/ (+ 4 (* -9 (pow x 2))) x)>
#<alt (* -9 x)>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* x (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 9 (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 9 (* 4 (/ 1 (pow x 2))))))>
#<alt -36>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 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>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (/ -6 x)>
#<alt (/ (- (* -9 x) 6) x)>
#<alt (/ (- (* -9 x) 6) x)>
#<alt (/ (- (* -9 x) 6) x)>
#<alt -9>
#<alt (* -1 (+ 9 (* 6 (/ 1 x))))>
#<alt (* -1 (+ 9 (* 6 (/ 1 x))))>
#<alt (* -1 (+ 9 (* 6 (/ 1 x))))>
#<alt -9>
#<alt (* -1 (+ 9 (* 6 (/ 1 x))))>
#<alt (* -1 (+ 9 (* 6 (/ 1 x))))>
#<alt (* -1 (+ 9 (* 6 (/ 1 x))))>

Calls

48 calls:

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

rewrite625.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3940×	`-lowering-.f32`
3940×	`-lowering-.f64`
3748×	`/-lowering-/.f32`
3748×	`/-lowering-/.f64`
1450×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	139	83
2	967	81
0	8399	81

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 920

Calls

Call 1

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

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

simplify280.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1876×	`fma-lowering-fma.f32`
1876×	`fma-lowering-fma.f64`
1820×	`fnmadd-define`
1528×	`fmsub-define`
1406×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	974
1	266	838
2	642	827
3	1478	813
4	4051	813
0	8018	813

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

eval165.0ms (1.8%)

Compiler: Compiled 31410 to 2209 computations (93% saved)

prune143.0ms (1.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1273	5	1278
Fresh	2	1	3
Picked	3	2	5
Done	0	3	3
Total	1278	11	1289

Accuracy

100.0%

Counts

1289 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal -1 binary64) x))
▶	51.2%	(/.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) #s(literal -9 binary64))
▶	50.9%	(/.f64 (*.f64 x #s(literal -36 binary64)) #s(literal -6 binary64))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
✓	99.8%	(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
✓	52.1%	(.f64 (.f64 x x) #s(literal -9 binary64))
	52.1%	(.f64 x (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x #s(literal -9 binary64))))
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	52.1%	(.f64 x (.f64 x #s(literal -9 binary64)))
✓	50.9%	(*.f64 x #s(literal 6 binary64))
▶	2.3%	#s(literal 4 binary64)

Compiler

Compiled 134 to 102 computations (23.9% saved)

simplify247.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2030×	`fnmadd-define`
1454×	`fmsub-define`
1440×	`fnmsub-define`
1340×	`fma-define`
1208×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	49	81
2	95	76
3	187	74
4	348	74
5	824	74
6	1772	74
7	2794	74
8	3201	73
9	3599	73
10	4150	72
11	5231	72
12	6205	72
13	6320	72
14	6340	72
15	6344	72
16	6352	72
17	6372	72
18	6396	72
0	6396	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- -6 (* x -9)) (/ -1 x))
(- -6 (* x -9))
-6
(* x -9)
x
-9
(/ -1 x)
-1
4
(/ (* x -36) -6)
(* x -36)
x
-36
-6
(/ x (/ 1 (+ (* x -9) 6)))
x
(/ 1 (+ (* x -9) 6))
1
(+ (* x -9) 6)
(* x -9)
-9
6
(/ (+ (* 81 (* x x)) -36) -9)
(+ (* 81 (* x x)) -36)
(* 81 (* x x))
81
(* x x)
x
-36
-9

Outputs
(/ (- -6 (* x -9)) (/ -1 x))
(.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
(- -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))
x
-9
#s(literal -9 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
4
#s(literal 4 binary64)
(/ (* 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)
(/ x (/ 1 (+ (* x -9) 6)))
(.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
x
(/ 1 (+ (* x -9) 6))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))
1
#s(literal 1 binary64)
(+ (* x -9) 6)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
6
#s(literal 6 binary64)
(/ (+ (* 81 (* x x)) -36) -9)
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(+ (* 81 (* x x)) -36)
(+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))
(* 81 (* x x))
(.f64 x (.f64 x #s(literal 81 binary64)))
81
#s(literal 81 binary64)
(* x x)
(*.f64 x x)
x
-36
#s(literal -36 binary64)
-9
#s(literal -9 binary64)

localize170.0ms (1.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -36 binary64)) #s(literal -9 binary64))
✓	accuracy	99.7%	(.f64 #s(literal 81 binary64) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -36 binary64))
✓	accuracy	99.5%	(/.f64 (*.f64 x #s(literal -36 binary64)) #s(literal -6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal -1 binary64) x))

Results

63.0ms	210×	0	valid
41.0ms	26×	1	valid
17.0ms	20×	2	valid

Compiler

Compiled 94 to 23 computations (75.5% saved)

Precisions

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

ival-div: 13.0ms (40.1% of total)

ival-mult: 9.0ms (27.7% of total)

backward-pass: 4.0ms (12.3% of total)

ival-add: 3.0ms (9.2% of total)

const: 2.0ms (6.2% of total)

ival-sub: 2.0ms (6.2% of total)

series3.0ms (0%)

Counts

13 → 156

Calls

Call 1

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

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 (- (* 9 x) 6)>
#<alt (- (* 9 x) 6)>
#<alt (- (* 9 x) 6)>
#<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 (* -1 (* x (- (* 6 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 9)))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (/ -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)>
#<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 (* 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 4>
#<alt (+ 4 (* -9 (pow x 2)))>
#<alt (+ 4 (* -9 (pow x 2)))>
#<alt (+ 4 (* -9 (pow x 2)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))>
#<alt -36>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (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)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (- -6 (* x -9)) (/ -1 x))
0.0ms	x	@	0	(/ -1 x)
0.0ms	x	@	inf	(/ -1 x)
0.0ms	x	@	inf	(/ 1 (+ (* x -9) 6))
0.0ms	x	@	-inf	(/ 1 (+ (* x -9) 6))

rewrite344.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4340×	`-lowering-.f32`
4340×	`-lowering-.f64`
3412×	`/-lowering-/.f32`
3412×	`/-lowering-/.f64`
1222×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	62
1	133	56
2	919	55
0	9008	55

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1000

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x (*.f64 x #s(literal 9 binary64)))))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (fma.f64 (.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 9 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 (fma.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (fma.f64 x #s(literal 6 binary64) (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (fma.f64 #s(literal -36 binary64) (/.f64 x #s(literal -6 binary64)) (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (fma.f64 (.f64 x #s(literal -36 binary64)) #s(literal -1/6 binary64) (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64)) (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (fma.f64 #s(literal 6 binary64) x (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (fma.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/6 binary64) (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -36 binary64)) (neg.f64 (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)))) (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -6 binary64) (.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 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 9 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -216 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (.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 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -216 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (-.f64 #s(literal 0 binary64) x))))
(-.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 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)) (.f64 x (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(-.f64 (/.f64 #s(literal 36 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)))
(-.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 (.f64 x #s(literal 9 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.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 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.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 (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(fma.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x) (.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 #s(literal 6 binary64) (.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 #s(literal -36 binary64) (/.f64 x #s(literal -6 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -36 binary64)) #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64)) (.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 36 binary64)) #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -36 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(neg.f64 (.f64 x (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 9 binary64)))))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) x)) (.f64 x (.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
(/.f64 (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (.f64 x #s(literal 9 binary64)) x))))
(/.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 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal 216 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 x (.f64 x #s(literal 81 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.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 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.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 (*.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 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal -1 binary64) x))))
(/.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))
(/.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(/.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (neg.f64 (/.f64 (+.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 (+.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 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (.f64 x #s(literal 9 binary64)) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) #s(literal 216 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))
(/.f64 (.f64 x (+.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 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(/.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 -9 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal -36 binary64) (.f64 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 #s(literal 0 binary64) (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.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 (.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 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 #s(literal 6 binary64)) (.f64 x (.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 x (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) x)) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) x)) (.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) x)) (.f64 (+.f64 #s(literal -36 binary64) (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -9 binary64)))))
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(.f64 (/.f64 (+.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -46656 binary64)) (+.f64 (.f64 #s(literal 282429536481 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))) (.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))))))) (+.f64 (.f64 #s(literal 43046721 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))) (-.f64 (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) #s(literal 2916 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)))))))
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(/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal 1 binary64))
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(/.f64 (.f64 (.f64 x x) #s(literal -81 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 81 binary64)))
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(.f64 (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 9 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal -9 binary64) (*.f64 x #s(literal 9 binary64))))
(.f64 (.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))
(.f64 (.f64 x #s(literal 81 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal -9 binary64))) #s(literal -9 binary64))
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(.f64 (.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 9 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify257.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1910×	`sum3-define`
1784×	`-lowering-.f32`
1784×	`-lowering-.f64`
1400×	`fma-lowering-fma.f32`
1400×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	736
1	249	640
2	603	634
3	1333	634
4	3077	634
5	7055	634
0	8322	634

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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
(- (* 9 x) 6)
(- (* 9 x) 6)
(- (* 9 x) 6)
(* 9 x)
(* x (- 9 (* 6 (/ 1 x))))
(* x (- 9 (* 6 (/ 1 x))))
(* x (- 9 (* 6 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 6 (/ 1 x)) 9)))
(* -1 (* x (- (* 6 (/ 1 x)) 9)))
(* -1 (* x (- (* 6 (/ 1 x)) 9)))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 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)
(* -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 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)))))
4
(+ 4 (* -9 (pow x 2)))
(+ 4 (* -9 (pow x 2)))
(+ 4 (* -9 (pow x 2)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
-36
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(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)

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)
(- (* 9 x) 6)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(- (* 9 x) 6)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(- (* 9 x) 6)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 6 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(* x (- 9 (* 6 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(* x (- 9 (* 6 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 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))
(/ -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)
(* 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))
(* 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)))
4
#s(literal 4 binary64)
(+ 4 (* -9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(+ 4 (* -9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(+ 4 (* -9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 9))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 4 binary64))
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))
(- (* 81 (pow x 2)) 36)
(+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))
(- (* 81 (pow x 2)) 36)
(+.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) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (- 81 (* 36 (/ 1 (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) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))
(* (pow x 2) (- 81 (* 36 (/ 1 (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)))
(* 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)))
(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)

eval162.0ms (1.8%)

Compiler: Compiled 24046 to 2236 computations (90.7% saved)

prune547.0ms (6%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1178	5	1183
Fresh	1	0	1
Picked	3	2	5
Done	0	5	5
Total	1182	12	1194

Accuracy

100.0%

Counts

1194 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -9 binary64))
	52.1%	(/.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	50.9%	(/.f64 (*.f64 x #s(literal -36 binary64)) #s(literal -6 binary64))
	52.0%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
	50.9%	(/.f64 x #s(literal 1/6 binary64))
	50.9%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.8%	(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
✓	52.1%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	99.7%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	52.1%	(.f64 x (.f64 x #s(literal -9 binary64)))
✓	50.9%	(*.f64 x #s(literal 6 binary64))
✓	2.3%	#s(literal 4 binary64)

Compiler

Compiled 332 to 134 computations (59.6% saved)

regimes29.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
8.0ms	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)

regimes11.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
4.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	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)

regimes10.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(/.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 x #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -9 binary64))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

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

Calls

2 calls:

6.0ms	x
4.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	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

9 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
50.9%	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
2.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.553070242342735e-8	943.0873923284815
17.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

22.0ms

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 (76.4% of total)

ival-sub: 1.0ms (12.7% of total)

const: 1.0ms (12.7% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	32	46

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 6034823500676465/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x 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 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 6034823500676465/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)) (if (<=.f64 x #s(literal 6034823500676465/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

soundness2.4s (26.5%)

Rules

5268×	`-lowering-.f32`
5268×	`-lowering-.f64`
4068×	`/-lowering-/.f32`
4068×	`/-lowering-/.f64`
4046×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	164
1	55	144
2	115	144
3	273	144
4	610	144
5	967	144
6	2297	144
7	6585	144
0	8088	144
0	44	665
1	121	579
2	319	579
3	846	579
4	1845	579
5	4878	579
0	8130	579
0	18	66
1	93	52
2	750	52
0	8911	52
0	7	9
1	17	9
2	42	7
3	102	6
4	233	6
5	391	6
6	678	6
7	1036	6
8	2604	6
9	3051	6
10	3670	6
11	4900	6
12	5401	6
13	5417	6
14	5417	6
0	5417	6
0	87	974
1	266	838
2	642	827
3	1478	813
4	4051	813
0	8018	813
0	6	15
1	30	13
2	222	13
3	1809	13
0	9050	13

Stop Event

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

Compiler

Compiled 179 to 114 computations (36.3% saved)

preprocess42.0ms (0.5%)

Compiler: Compiled 142 to 66 computations (53.5% saved)

Iter	Nodes	Cost
0	18	133
1	39	122
2	63	122
3	87	122
4	119	122
5	155	122
6	167	122
7	184	122
8	185	122
0	185	122

Iter	Nodes	Cost
0	18	133
1	39	122
2	63	122
3	87	122
4	119	122
5	155	122
6	167	122
7	184	122
8	185	122
0	185	122

analyze0.0ms (0%)

sample772.0ms (8.4%)

preprocess353.0ms (3.9%)

explain116.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize32.0ms (0.3%)

series3.0ms (0%)

rewrite352.0ms (3.9%)

simplify202.0ms (2.2%)

eval40.0ms (0.4%)

prune59.0ms (0.6%)

simplify14.0ms (0.2%)

localize187.0ms (2%)

series7.0ms (0.1%)

rewrite362.0ms (4%)

simplify222.0ms (2.4%)

eval191.0ms (2.1%)

prune129.0ms (1.4%)

simplify376.0ms (4.1%)

localize203.0ms (2.2%)

series7.0ms (0.1%)

rewrite625.0ms (6.8%)

simplify280.0ms (3.1%)

eval165.0ms (1.8%)

prune143.0ms (1.6%)

simplify247.0ms (2.7%)

localize170.0ms (1.9%)

series3.0ms (0%)

rewrite344.0ms (3.8%)

simplify257.0ms (2.8%)

eval162.0ms (1.8%)

prune547.0ms (6%)

regimes29.0ms (0.3%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch35.0ms (0.4%)

simplify10.0ms (0.1%)

soundness2.4s (26.5%)

preprocess42.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	133
1	39	122
2	63	122
3	87	122
4	119	122
5	155	122
6	167	122
7	184	122
8	185	122
0	185	122