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)

sample795.0ms (10%)

Results

470.0ms	7606×	0	valid
72.0ms	295×	2	valid
48.0ms	355×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-mult: 254.0ms (75.2% of total)

ival-sub: 52.0ms (15.4% of total)

backward-pass: 16.0ms (4.7% of total)

const: 15.0ms (4.4% of total)

Bogosity

preprocess192.0ms (2.4%)

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))

explain214.0ms (2.7%)

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

119.0ms	444×	0	valid
9.0ms	32×	2	valid
7.0ms	36×	1	valid

Compiler

Compiled 68 to 23 computations (66.2% saved)

Precisions

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

ival-mult: 12.0ms (64.1% of total)

ival-sub: 3.0ms (16% of total)

backward-pass: 2.0ms (10.7% of total)

const: 1.0ms (5.3% 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
▶	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
▶	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	31	37
2	67	36
3	129	36
4	255	36
5	404	36
6	691	36
7	1049	36
8	2617	36
9	3081	36
10	3700	36
11	4932	36
12	5433	36
13	5449	36
14	5449	36
0	5449	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize68.0ms (0.9%)

Localize:

Found 7 expressions of interest:

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

Results

39.0ms	222×	0	valid
8.0ms	16×	2	valid
6.0ms	18×	1	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 11.0ms (62.8% of total)

ival-add: 2.0ms (11.4% of total)

ival-sub: 2.0ms (11.4% of total)

backward-pass: 2.0ms (11.4% of total)

const: 1.0ms (5.7% of total)

series6.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite509.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	59	31
2	421	30
3	3725	30
0	8535	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 441

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -54 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (+.f64 #s(literal 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 36 binary64) (*.f64 x x)))))
(/.f64 (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 -6 binary64) (.f64 x #s(literal -9 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 (.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 24 binary64) (.f64 #s(literal 3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 12 binary64) (.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.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 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.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 4 binary64) (.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (-.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify194.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2276×	`-lowering-.f32`
2276×	`-lowering-.f64`
1236×	`sum5-define`
1174×	`fmsub-define`
1144×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	380
1	87	331
2	187	331
3	459	331
4	1200	331
5	1735	331
6	3437	331
0	8337	331

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval62.0ms (0.8%)

Compiler: Compiled 11144 to 1013 computations (90.9% saved)

prune52.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	516	9	525
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	516	11	527

Accuracy

100.0%

Counts

527 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.9%	(/.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)))))
▶	99.4%	(.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)))))
▶	99.7%	(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 3 binary64)))
▶	91.9%	(.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
	61.4%	(.f64 (.f64 x (+.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))))))
	49.2%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
▶	49.1%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
▶	53.5%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 246 to 187 computations (24% saved)

simplify169.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	128	(.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
✓	cost-diff	128	(.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	cost-diff	0	(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
✓	cost-diff	0	(.f64 (+.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)))))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	cost-diff	128	(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 3 binary64)))

Rules

2686×	`-lowering-.f32`
2686×	`-lowering-.f64`
2014×	`unsub-neg`
1246×	`fma-lowering-fma.f32`
1246×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	164
1	81	144
2	232	135
3	835	132
4	2012	132
5	5024	132
0	8254	132

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ 2 (* x -3)) (* x 3))
(+ 2 (* x -3))
2
(* x -3)
x
-3
(* x 3)
3
(* x 6)
x
6
(* (* 3 (* x -3)) x)
(* 3 (* x -3))
3
(* x -3)
x
-3
(* (+ 36 (* (* x x) -81)) (/ x (- 6 (* x -9))))
(+ 36 (* (* x x) -81))
36
(* (* x x) -81)
(* x x)
x
-81
(/ x (- 6 (* x -9)))
(- 6 (* x -9))
6
(* x -9)
-9
(* (* (* x 3) (+ 4 (* x (* x -9)))) (/ 1 (- 2 (* x -3))))
(* (* x 3) (+ 4 (* x (* x -9))))
(* x 3)
x
3
(+ 4 (* x (* x -9)))
4
(* x (* x -9))
(* x -9)
-9
(/ 1 (- 2 (* x -3)))
1
(- 2 (* x -3))
2
(* x -3)
-3

Outputs
(* (+ 2 (* x -3)) (* x 3))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(+ 2 (* x -3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
2
#s(literal 2 binary64)
(* x -3)
(*.f64 x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x 6)
(*.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(* (* 3 (* x -3)) x)
(.f64 x (.f64 x #s(literal -9 binary64)))
(* 3 (* x -3))
(*.f64 x #s(literal -9 binary64))
3
#s(literal 3 binary64)
(* x -3)
(*.f64 x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
(* (+ 36 (* (* x x) -81)) (/ x (- 6 (* x -9))))
(/.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))))
(+ 36 (* (* x x) -81))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
36
#s(literal 36 binary64)
(* (* x x) -81)
(.f64 (.f64 x x) #s(literal -81 binary64))
(* x x)
(*.f64 x x)
x
-81
#s(literal -81 binary64)
(/ x (- 6 (* x -9)))
(/.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 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))
-9
#s(literal -9 binary64)
(* (* (* x 3) (+ 4 (* x (* x -9)))) (/ 1 (- 2 (* x -3))))
(.f64 (/.f64 x (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 27 binary64))) #s(literal -12 binary64)))
(* (* x 3) (+ 4 (* x (* x -9))))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ 4 (* x (* x -9)))
(+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
4
#s(literal 4 binary64)
(* x (* x -9))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
(/ 1 (- 2 (* x -3)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
1
#s(literal 1 binary64)
(- 2 (* x -3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
2
#s(literal 2 binary64)
(* x -3)
(*.f64 x #s(literal -3 binary64))
-3
#s(literal -3 binary64)

localize294.0ms (3.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -9 binary64)))
✓	accuracy	91.9%	(.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -81 binary64))
✓	accuracy	99.6%	(/.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	99.3%	(.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)))))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.9%	(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 3 binary64)))

Results

113.0ms	189×	0	valid
28.0ms	23×	2	valid
24.0ms	29×	1	valid
20.0ms	10×	3	valid
12.0ms	5×	4	valid

Compiler

Compiled 169 to 31 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 34.0ms (54.9% of total)

backward-pass: 10.0ms (16.1% of total)

ival-div: 6.0ms (9.7% of total)

ival-add: 6.0ms (9.7% of total)

ival-sub: 4.0ms (6.5% of total)

const: 2.0ms (3.2% of total)

series11.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* (+ 2 (* x -3)) (* x 3))>
#<alt (+ 2 (* x -3))>
#<alt (* x -3)>
#<alt (* x 3)>
#<alt (* x 6)>
#<alt (* 3 (* x -3))>
#<alt (* (* 3 (* x -3)) x)>
#<alt (* (+ 36 (* (* x x) -81)) (/ x (- 6 (* x -9))))>
#<alt (+ 36 (* (* x x) -81))>
#<alt (* (* x x) -81)>
#<alt (* x x)>
#<alt (* (* (* x 3) (+ 4 (* x (* x -9)))) (/ 1 (- 2 (* x -3))))>
#<alt (* (* x 3) (+ 4 (* x (* x -9))))>
#<alt (+ 4 (* x (* x -9)))>
#<alt (/ x (- 6 (* x -9)))>
#<alt (- 6 (* x -9))>
#<alt (* x (* x -9))>
#<alt (/ 1 (- 2 (* x -3)))>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* 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 (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (+ 36 (* -81 (pow x 2)))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (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 (* 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 (* 12 x)>
#<alt (* x (+ 12 (* -27 (pow x 2))))>
#<alt (* x (+ 12 (* -27 (pow x 2))))>
#<alt (* x (+ 12 (* -27 (pow x 2))))>
#<alt (* -27 (pow x 3))>
#<alt (* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))>
#<alt (* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))>
#<alt (* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))>
#<alt (* -27 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))>
#<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 (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/4 x)))>
#<alt (* x (+ 1/6 (* x (- (* 3/8 x) 1/4))))>
#<alt (* x (+ 1/6 (* x (- (* x (+ 3/8 (* -9/16 x))) 1/4))))>
#<alt 1/9>
#<alt (- 1/9 (* 2/27 (/ 1 x)))>
#<alt (- (+ 1/9 (/ 4/81 (pow x 2))) (* 2/27 (/ 1 x)))>
#<alt (- (+ 1/9 (/ 4/81 (pow x 2))) (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))))>
#<alt 1/9>
#<alt (- 1/9 (* 2/27 (/ 1 x)))>
#<alt (+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x)))>
#<alt (+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x)))>
#<alt 6>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (+ 6 (* 9 x))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* x (+ 9 (* 6 (/ 1 x))))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -3/4 x))>
#<alt (+ 1/2 (* x (- (* 9/8 x) 3/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 9/8 (* -27/16 x))) 3/4)))>
#<alt (/ 1/3 x)>
#<alt (/ (- 1/3 (* 2/9 (/ 1 x))) x)>
#<alt (/ (- (+ 1/3 (/ 4/27 (pow x 2))) (* 2/9 (/ 1 x))) x)>
#<alt (/ (- (+ 1/3 (/ 4/27 (pow x 2))) (+ (* 2/9 (/ 1 x)) (* 8/81 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/3 x)>
#<alt (* -1 (/ (- (* 2/9 (/ 1 x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4/27 (/ 1 x)) 2/9) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/81 (/ 1 x)) 4/27) x)) 2/9) x)) 1/3) x))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (+ 36 (* (* x x) -81)) (/ x (- 6 (* x -9))))
1.0ms	x	@	-inf	(* (* (* x 3) (+ 4 (* x (* x -9)))) (/ 1 (- 2 (* x -3))))
1.0ms	x	@	inf	(* (* (* x 3) (+ 4 (* x (* x -9)))) (/ 1 (- 2 (* x -3))))
0.0ms	x	@	0	(* (* (* x 3) (+ 4 (* x (* x -9)))) (/ 1 (- 2 (* x -3))))
0.0ms	x	@	0	(* (+ 36 (* (* x x) -81)) (/ x (- 6 (* x -9))))

rewrite390.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4058×	`/-lowering-/.f32`
4058×	`/-lowering-/.f64`
3938×	`-lowering-.f32`
3938×	`-lowering-.f64`
1508×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	111
1	155	96
2	1226	92
0	8443	92

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 944

Calls

Call 1

Inputs
(* (+ 2 (* x -3)) (* x 3))
(+ 2 (* x -3))
(* x -3)
(* x 3)
(* x 6)
(* 3 (* x -3))
(* (* 3 (* x -3)) x)
(* (+ 36 (* (* x x) -81)) (/ x (- 6 (* x -9))))
(+ 36 (* (* x x) -81))
(* (* x x) -81)
(* x x)
(* (* (* x 3) (+ 4 (* x (* x -9)))) (/ 1 (- 2 (* x -3))))
(* (* x 3) (+ 4 (* x (* x -9))))
(+ 4 (* x (* x -9)))
(/ x (- 6 (* x -9)))
(- 6 (* x -9))
(* x (* x -9))
(/ 1 (- 2 (* x -3)))

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x #s(literal 12 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x x) (.f64 #s(literal -9 binary64) (*.f64 x #s(literal 3 binary64))))))
(+.f64 (/.f64 (.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal -9 binary64) (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x #s(literal 12 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x x) (.f64 #s(literal -9 binary64) (.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal -9 binary64) (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64))) (.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))))))
(/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (+.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x)))) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal -4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x)))) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 #s(literal 4 binary64) x) (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
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(.f64 (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal -4 binary64)))))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))))) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal -3 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))))

simplify221.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2464×	`-lowering-.f32`
2464×	`-lowering-.f64`
1528×	`fma-define`
1482×	`fma-lowering-fma.f32`
1482×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1146
1	485	965
2	1121	961
3	2681	957
4	7476	957
0	8142	957

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* 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
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(+ 36 (* -81 (pow x 2)))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(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)
(* 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))
(* 12 x)
(* x (+ 12 (* -27 (pow x 2))))
(* x (+ 12 (* -27 (pow x 2))))
(* x (+ 12 (* -27 (pow x 2))))
(* -27 (pow x 3))
(* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))
(* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))
(* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))
(* -27 (pow x 3))
(* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))
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))
(* 1/6 x)
(* x (+ 1/6 (* -1/4 x)))
(* x (+ 1/6 (* x (- (* 3/8 x) 1/4))))
(* x (+ 1/6 (* x (- (* x (+ 3/8 (* -9/16 x))) 1/4))))
1/9
(- 1/9 (* 2/27 (/ 1 x)))
(- (+ 1/9 (/ 4/81 (pow x 2))) (* 2/27 (/ 1 x)))
(- (+ 1/9 (/ 4/81 (pow x 2))) (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))))
1/9
(- 1/9 (* 2/27 (/ 1 x)))
(+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x)))
(+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x)))
6
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(+ 6 (* 9 x))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* x (+ 9 (* 6 (/ 1 x))))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
1/2
(+ 1/2 (* -3/4 x))
(+ 1/2 (* x (- (* 9/8 x) 3/4)))
(+ 1/2 (* x (- (* x (+ 9/8 (* -27/16 x))) 3/4)))
(/ 1/3 x)
(/ (- 1/3 (* 2/9 (/ 1 x))) x)
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (* 2/9 (/ 1 x))) x)
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (+ (* 2/9 (/ 1 x)) (* 8/81 (/ 1 (pow x 3))))) x)
(/ 1/3 x)
(* -1 (/ (- (* 2/9 (/ 1 x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 4/27 (/ 1 x)) 2/9) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/81 (/ 1 x)) 4/27) x)) 2/9) x)) 1/3) x))

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 (pow x 2))
(.f64 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)))
(* 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)
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
(+ 36 (* -81 (pow x 2)))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
(+ 36 (* -81 (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) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.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) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 36 (/ 1 (pow x 2))) 81))
(+.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))
(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)
(* 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))))
(* 12 x)
(*.f64 x #s(literal 12 binary64))
(* x (+ 12 (* -27 (pow x 2))))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* x (+ 12 (* -27 (pow x 2))))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* x (+ 12 (* -27 (pow x 2))))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* -27 (pow x 3))
(.f64 #s(literal -27 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* (pow x 3) (- (* 12 (/ 1 (pow x 2))) 27))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* -27 (pow x 3))
(.f64 #s(literal -27 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 binary64)))))
(* -1 (* (pow x 3) (- 27 (* 12 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 12 binary64) (.f64 x (*.f64 x #s(literal -27 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))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/6 (* x (- (* 3/8 x) 1/4))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 3/8 binary64))))))
(* x (+ 1/6 (* x (- (* x (+ 3/8 (* -9/16 x))) 1/4))))
(.f64 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
#s(literal 1/9 binary64)
(- 1/9 (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x))
(- (+ 1/9 (/ 4/81 (pow x 2))) (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x))
(- (+ 1/9 (/ 4/81 (pow x 2))) (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 (-.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x))
(+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x))
(+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 (-.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) 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 (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -3/4 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3/4 binary64)))
(+ 1/2 (* x (- (* 9/8 x) 3/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -3/4 binary64) (.f64 x #s(literal 9/8 binary64)))))
(+ 1/2 (* x (- (* x (+ 9/8 (* -27/16 x))) 3/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -3/4 binary64) (.f64 x (+.f64 #s(literal 9/8 binary64) (*.f64 x #s(literal -27/16 binary64)))))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (- 1/3 (* 2/9 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) x)) x)
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (* 2/9 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) x)) x)
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (+ (* 2/9 (/ 1 x)) (* 8/81 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal -8/81 binary64) x)) x) #s(literal -2/9 binary64)) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* -1 (/ (- (* 2/9 (/ 1 x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4/27 (/ 1 x)) 2/9) x)) 1/3) x))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/81 (/ 1 x)) 4/27) x)) 2/9) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal -8/81 binary64) x)) x) #s(literal -2/9 binary64)) x)) x)

eval194.0ms (2.4%)

Compiler: Compiled 33754 to 2560 computations (92.4% saved)

prune127.0ms (1.6%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1219	5	1224
Fresh	2	2	4
Picked	2	3	5
Done	0	2	2
Total	1223	12	1235

Accuracy

100.0%

Counts

1235 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
	66.0%	(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 x #s(literal 1/6 binary64)))
✓	99.7%	(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 3 binary64)))
▶	49.1%	(.f64 (.f64 x x) #s(literal -9 binary64))
▶	49.1%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
▶	49.2%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	49.1%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.5%	(*.f64 x #s(literal 6 binary64))
▶	53.1%	(.f64 #s(literal 36 binary64) (/.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))

Compiler

Compiled 176 to 132 computations (25% saved)

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2248×	`fnmadd-define`
2072×	`fma-define`
1146×	`sum3-define`
980×	`fmsub-define`
918×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	46	80
2	84	77
3	187	77
4	258	77
5	386	77
6	817	77
7	2719	77
8	4050	77
9	5612	77
10	5713	77
11	5745	77
12	5806	77
13	5841	77
14	5849	77
0	5849	77

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize163.0ms (2%)

Localize:

Found 15 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	99.8%	(.f64 #s(literal 36 binary64) (/.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
✓	accuracy	99.6%	(/.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.9%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))

Results

100.0ms	214×	0	valid
17.0ms	18×	2	valid
14.0ms	24×	1	valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 49.0ms (76.6% of total)

ival-div: 7.0ms (10.9% of total)

backward-pass: 3.0ms (4.7% of total)

ival-sub: 2.0ms (3.1% of total)

ival-add: 2.0ms (3.1% of total)

const: 1.0ms (1.6% of total)

series3.0ms (0%)

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ 1 (+ 6 (* x -9)))
0.0ms	x	@	inf	(* 36 (/ x (- 6 (* x -9))))
0.0ms	x	@	-inf	(* 36 (/ x (- 6 (* x -9))))
0.0ms	x	@	0	(/ 1 (+ 6 (* x -9)))
0.0ms	x	@	-inf	(/ 1 (+ 6 (* x -9)))

rewrite342.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
2508×	`/-lowering-/.f32`
2508×	`/-lowering-/.f64`
1850×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	85	59
2	483	56
3	5235	56
0	8359	56

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 730

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 9 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (*.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) x)))
(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) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(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)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #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 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)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 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 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 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 x (+.f64 #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 (.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x))
(/.f64 (.f64 #s(literal 1 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 1 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 #s(literal 1 binary64) (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) x))
(/.f64 (.f64 x (+.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 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64))) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) 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)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64))) (.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64))))
(/.f64 (.f64 x (+.f64 (.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 #s(literal 0 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) #s(literal 1 binary64)) (.f64 (+.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 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (-.f64 #s(literal 0 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 (.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (-.f64 #s(literal 0 binary64) x)) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) x) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)) x) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)) x) (.f64 (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) #s(literal -216 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 (+.f64 (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)) #s(literal -1 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 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) x))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(/.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.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 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x (.f64 x #s(literal -9 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x (.f64 x #s(literal -9 binary64))))) (-.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (/.f64 (.f64 x (+.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 x (+.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 x (+.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 36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(.f64 (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
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(/.f64 (.f64 (-.f64 #s(literal 10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))) (+.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 46656 binary64) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 46656 binary64) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 1296 binary64) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal 81 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal -36 binary64) (.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 #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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 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))) #s(literal 1 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 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 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 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))) #s(literal 1 binary64)))
(.f64 (+.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 #s(literal -216 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (.f64 x (+.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))))
(.f64 (/.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 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 #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)))) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -6 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 #s(literal 1 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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (.f64 #s(literal 1 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 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))) (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64))))
(.f64 (/.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (+.f64 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -36 binary64) (.f64 x (.f64 x #s(literal 81 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 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x 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 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 (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 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 #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 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 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 #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 x (.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))

simplify244.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1818×	`-lowering-.f32`
1818×	`-lowering-.f64`
1814×	`+-lowering-+.f64`
1814×	`+-lowering-+.f32`
1538×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	818
1	480	701
2	1161	697
3	2637	693
4	6682	693
0	8154	693

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

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))))
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 #s(literal 2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) 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 #s(literal 2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -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 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* 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 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
4
#s(literal 4 binary64)
(- 4 (* 8/3 (/ 1 x)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/6 (* x (- (* 3/8 x) 1/4))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 3/8 binary64)) #s(literal -1/4 binary64)))))
(* x (+ 1/6 (* x (- (* x (+ 3/8 (* -9/16 x))) 1/4))))
(.f64 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
#s(literal 1/9 binary64)
(- 1/9 (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x))
(- (+ 1/9 (/ 4/81 (pow x 2))) (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x))
(- (+ 1/9 (/ 4/81 (pow x 2))) (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))))
(+.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))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 2/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) x))
(+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x))
(+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x)))
(+.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))
6
#s(literal 6 binary64)
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(+ 6 (* 9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (+ 9 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))

eval130.0ms (1.6%)

Compiler: Compiled 17885 to 2246 computations (87.4% saved)

prune161.0ms (2%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	936	6	942
Fresh	2	0	2
Picked	2	3	5
Done	1	4	5
Total	941	13	954

Accuracy

100.0%

Counts

954 → 13

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))
	49.1%	(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	49.1%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
▶	53.4%	(/.f64 x #s(literal 1/6 binary64))
✓	49.1%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	49.1%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	49.2%	(.f64 (.f64 x #s(literal -9 binary64)) x)
✓	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	49.1%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.5%	(*.f64 x #s(literal 6 binary64))
▶	53.3%	(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
▶	2.3%	#s(literal 4 binary64)

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

50×	`-lowering-.f32`
50×	`-lowering-.f64`
36×	`fma-define`
36×	`/-lowering-/.f32`
36×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	30	44
2	45	43
3	59	43
4	75	43
5	87	43
6	96	43
7	96	43
0	96	43

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

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

localize196.0ms (2.5%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	99.8%	(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.6%	(/.f64 x #s(literal 1/6 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	99.9%	(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

119.0ms	73×	5	exit
47.0ms	176×	0	valid
3.0ms	5×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 53 to 18 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 25.0ms (30.9% of total)

...c/correct-round.rkt:119:19: 25.0ms (30.9% of total)

backward-pass: 14.0ms (17.3% of total)

ival-mult: 12.0ms (14.8% of total)

ival-add: 3.0ms (3.7% of total)

const: 2.0ms (2.5% of total)

series5.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

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

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x 1/6)
0.0ms	x	@	inf	(* x 1/6)
0.0ms	x	@	0	(/ -1/9 x)
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	inf	(/ -1/9 x)

rewrite311.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2486×	`-lowering-.f32`
2486×	`-lowering-.f64`
2444×	`fma-lowering-fma.f32`
2444×	`fma-lowering-fma.f64`
1682×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	76	32
2	423	31
3	3769	31
0	8160	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 435

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 x #s(literal 1/6 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -6 binary64)) x))
(-.f64 (/.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -6 binary64)) x))
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(*.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/6 binary64)))
(neg.f64 (/.f64 x #s(literal -1/6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 6 binary64) x)
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 36 binary64)))
(*.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 36 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))
(.f64 (.f64 x #s(literal 36 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)) (.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 (/.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))))
(/.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 1/9 binary64))
(/.f64 (/.f64 (/.f64 x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -1/9 binary64) (.f64 x x)) (/.f64 #s(literal -1/9 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 x #s(literal -1/9 binary64)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 (/.f64 x #s(literal -1/9 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1/9 binary64)))
(*.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 #s(literal 9 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -1/9 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x #s(literal -1/9 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/9 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify190.0ms (2.4%)

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	25	392
1	60	360
2	120	360
3	278	360
4	623	360
5	976	360
6	2362	360
7	6771	360
0	8153	360

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

eval97.0ms (1.2%)

Compiler: Compiled 7111 to 937 computations (86.8% saved)

prune70.0ms (0.9%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	540	3	543
Fresh	1	0	1
Picked	0	5	5
Done	2	5	7
Total	543	13	556

Accuracy

100.0%

Counts

556 → 13

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))
	49.1%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
✓	49.1%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	53.4%	(/.f64 x #s(literal 1/6 binary64))
	53.4%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
	49.1%	(*.f64 (/.f64 x #s(literal -1/9 binary64)) x)
✓	49.1%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	49.1%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
✓	53.5%	(*.f64 x #s(literal 6 binary64))
✓	53.3%	(.f64 #s(literal 36 binary64) (.f64 x #s(literal 1/6 binary64)))
✓	2.3%	#s(literal 4 binary64)

Compiler

Compiled 300 to 149 computations (50.3% saved)

regimes17.0ms (0.2%)

Counts

25 → 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 36 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal -9 binary64)) x)
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 (/.f64 x #s(literal -1/9 binary64)) x)
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 36 binary64) (/.f64 x (-.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (.f64 x #s(literal 1/6 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 (+.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 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) x))
(.f64 (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(.f64 (.f64 x (+.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))))))

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

Calls

2 calls:

8.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
7.0ms	x

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 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 36 binary64) (.f64 x #s(literal 1/6 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.5%	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)

bsearch63.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.136016512901911e-5	2.8068932094227424e+21
43.0ms	-43693.29815515874	-0.5715217852874802

Results

49.0ms

320×

valid

Compiler

Compiled 254 to 190 computations (25.2% saved)

Precisions

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

ival-mult: 6.0ms (72.8% of total)

ival-sub: 2.0ms (24.3% of total)

const: 1.0ms (12.1% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	23	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (.f64 (.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x #s(literal -9 binary64)) x)))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

Outputs
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (.f64 (.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x #s(literal -9 binary64)) x)))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

soundness1.9s (24.1%)

Rules

3688×	`-lowering-.f32`
3688×	`-lowering-.f64`
2464×	`-lowering-.f32`
2464×	`-lowering-.f64`
2276×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	380
1	87	331
2	187	331
3	459	331
4	1200	331
5	1735	331
6	3437	331
0	8337	331
0	12	35
1	59	31
2	421	30
3	3725	30
0	8535	30
0	161	1146
1	485	965
2	1121	961
3	2681	957
4	7476	957
0	8142	957
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	155	818
1	480	701
2	1161	697
3	2637	693
4	6682	693
0	8154	693

Stop Event

1×	fuel
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 107 to 71 computations (33.6% saved)

preprocess276.0ms (3.5%)

Compiler: Compiled 106 to 58 computations (45.3% saved)

analyze0.0ms (0%)

sample795.0ms (10%)

preprocess192.0ms (2.4%)

explain214.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify120.0ms (1.5%)

localize68.0ms (0.9%)

series6.0ms (0.1%)

rewrite509.0ms (6.4%)

simplify194.0ms (2.4%)

eval62.0ms (0.8%)

prune52.0ms (0.7%)

simplify169.0ms (2.1%)

localize294.0ms (3.7%)

series11.0ms (0.1%)

rewrite390.0ms (4.9%)

simplify221.0ms (2.8%)

eval194.0ms (2.4%)

prune127.0ms (1.6%)

simplify123.0ms (1.5%)

localize163.0ms (2%)

series3.0ms (0%)

rewrite342.0ms (4.3%)

simplify244.0ms (3.1%)

eval130.0ms (1.6%)

prune161.0ms (2%)

simplify9.0ms (0.1%)

localize196.0ms (2.5%)

series5.0ms (0.1%)

rewrite311.0ms (3.9%)

simplify190.0ms (2.4%)

eval97.0ms (1.2%)

prune70.0ms (0.9%)

regimes17.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch63.0ms (0.8%)

simplify8.0ms (0.1%)

soundness1.9s (24.1%)

preprocess276.0ms (3.5%)

end0.0ms (0%)

Profiling