Metrics for Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

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)

sample690.0ms (8.2%)

Results

514.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-mult: 223.0ms (77.7% of total)

ival-sub: 47.0ms (16.4% of total)

const: 14.0ms (4.9% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess130.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1404×	`sum4-define`
1400×	`sum5-define`
1310×	`fnmadd-define`
1242×	`fma-define`
1122×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	47	24
2	153	22
3	631	21
4	1719	21
5	5027	21
6	5484	21
7	5524	21
8	5524	21
0	7	8
1	17	8
2	45	7
3	120	7
4	249	7
5	354	7
6	540	7
7	830	7
8	2474	7
9	2892	7
10	3355	7
11	3951	7
12	3975	7
0	3975	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(* (* x x) (- 3 (* x 2)))
(* (fnmsub x 2 -3) (square x))
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))
(* (square x) (fnmsub x -2 -3))
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2))))
(* (square x) (fnmsub x 2 3))

explain80.0ms (0.9%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
0	-	-	`(*.f64 x x)`
1	(1.0598912347340285e-162)	-	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`

Results

53.0ms

512×

valid

Compiler

Compiled 60 to 23 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (58.5% of total)

ival-sub: 6.0ms (35.1% of total)

const: 1.0ms (5.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1126×	`fma-define`
1016×	`sum3-define`
1012×	`fnmadd-define`
832×	`sum5-define`
738×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	33	42
2	78	42
3	144	42
4	273	42
5	383	42
6	569	42
7	859	42
8	2503	42
9	2922	42
10	3395	42
11	3991	42
12	4015	42
0	4015	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize115.0ms (1.4%)

Localize:

Found 8 expressions of interest:

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

Results

60.0ms	235×	0	valid
4.0ms	9×	2	valid
4.0ms	12×	1	valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

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

ival-mult: 11.0ms (70.6% of total)

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

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

const: 1.0ms (6.4% of total)

backward-pass: 1.0ms (6.4% of total)

series4.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite292.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3310×	`-lowering-.f32`
3310×	`-lowering-.f64`
1682×	`fma-lowering-fma.f32`
1682×	`fma-lowering-fma.f64`
1624×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	58	36
2	449	36
3	3729	36
0	9154	36

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 389

Calls

Call 1

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

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

simplify172.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1354×	`fmsub-define`
1336×	`fnmsub-define`
1274×	`-lowering-.f32`
1274×	`-lowering-.f64`
1262×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	480
1	79	401
2	190	401
3	536	401
4	1485	401
5	2778	401
6	6003	401
0	8279	401

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval73.0ms (0.9%)

Compiler: Compiled 10703 to 966 computations (91% saved)

prune51.0ms (0.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	473	12	485
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	473	14	487

Accuracy

100.0%

Counts

487 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
▶	48.5%	(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
	84.9%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))))
	70.7%	(.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (.f64 x x)))
	95.8%	(.f64 (.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
▶	73.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
	63.4%	(.f64 (.f64 x x) #s(literal 3 binary64))
	48.6%	(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
▶	99.8%	(.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))))
	70.8%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
	99.7%	(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
▶	63.5%	(.f64 x (.f64 x #s(literal 3 binary64)))

Compiler

Compiled 376 to 264 computations (29.8% saved)

simplify136.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1782×	`-lowering-.f32`
1782×	`-lowering-.f64`
1616×	`fnmadd-define`
1402×	`fma-define`
1208×	`fnmsub-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	26	136
1	71	127
2	178	126
3	324	126
4	633	124
5	1560	124
6	4087	124
7	6045	123
0	8167	123

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize209.0ms (2.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -4 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -4 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))))
✓	accuracy	95.9%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
✓	accuracy	99.7%	(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.9%	(-.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))))

Results

84.0ms	230×	0	valid
61.0ms	14×	1	valid
20.0ms	10×	2	valid
3.0ms	2×	3	valid

Compiler

Compiled 159 to 27 computations (83% saved)

Precisions

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

ival-mult: 29.0ms (50.9% of total)

ival-sub: 13.0ms (22.8% of total)

ival-div: 6.0ms (10.5% of total)

ival-add: 4.0ms (7% of total)

backward-pass: 3.0ms (5.3% of total)

const: 1.0ms (1.8% of total)

series10.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite594.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

3862×	`-lowering-.f32`
3862×	`-lowering-.f64`
3362×	`/-lowering-/.f32`
3362×	`/-lowering-/.f64`
1824×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	96
1	151	87
2	1104	84
0	8606	84

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 750

Calls

Call 1

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

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

simplify243.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2398×	`-lowering-.f32`
2398×	`-lowering-.f64`
1358×	`fnmsub-define`
1288×	`--lowering--.f32`
1288×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1183
1	340	989
2	858	987
3	2188	985
4	5818	985
0	8286	985

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval182.0ms (2.2%)

Compiler: Compiled 26299 to 2160 computations (91.8% saved)

prune84.0ms (1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1057	5	1062
Fresh	5	2	7
Picked	3	2	5
Done	0	2	2
Total	1065	11	1076

Accuracy

100.0%

Counts

1076 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
▶	63.4%	(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
▶	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64))))))
	85.0%	(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	73.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
▶	63.4%	(.f64 (.f64 x x) #s(literal 3 binary64))
▶	99.8%	(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
	99.7%	(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	63.5%	(.f64 x (.f64 x #s(literal 3 binary64)))

Compiler

Compiled 198 to 141 computations (28.8% saved)

simplify172.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2224×	`sum3-define`
1872×	`fma-define`
1140×	`-lowering-.f32`
1140×	`-lowering-.f64`
1100×	`fnmadd-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	58	112
2	118	112
3	281	112
4	474	104
5	656	104
6	891	104
7	1418	103
8	1902	103
9	2562	103
10	4167	103
11	6952	103
0	8046	103

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize192.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 9 binary64)))
✓	accuracy	72.9%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))

Results

74.0ms	204×	0	valid
55.0ms	32×	1	valid
20.0ms	18×	2	valid
4.0ms	2×	5	exit

Compiler

Compiled 131 to 26 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 23.0ms (45% of total)

ival-div: 14.0ms (27.4% of total)

...c/correct-round.rkt:119:19: 5.0ms (9.8% of total)

backward-pass: 4.0ms (7.8% of total)

ival-add: 4.0ms (7.8% of total)

const: 1.0ms (2% of total)

series6.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x (/ x (/ -1 (+ (* x 2) -3))))
0.0ms	x	@	-inf	(/ 1 (* x (+ 3 (* x -2))))
0.0ms	x	@	inf	(* x (* x 9))
0.0ms	x	@	-inf	(* x 9)
0.0ms	x	@	0	(/ x (/ -1 (+ (* x 2) -3)))

rewrite395.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3814×	`-lowering-.f32`
3814×	`-lowering-.f64`
3146×	`/-lowering-/.f32`
3146×	`/-lowering-/.f64`
1134×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	90
1	126	83
2	816	78
0	8320	78

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1248

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64))))))
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x #s(literal 2 binary64))) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 (/.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64)))))) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x (/.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -3 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(neg.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 x x))))
(/.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 x x)))
(/.f64 (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))) (.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 x (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 x (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(.f64 x (neg.f64 (.f64 x #s(literal -9 binary64))))
(.f64 x (.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1/9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (/.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -9 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -9 binary64)))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (neg.f64 (.f64 x #s(literal -9 binary64))) x)
(.f64 (.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) x)
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
(.f64 (.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))

simplify214.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2608×	`-lowering-.f32`
2608×	`-lowering-.f64`
1364×	`+-lowering-+.f64`
1364×	`+-lowering-+.f32`
878×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1135
1	448	974
2	1303	948
3	3415	938
4	7417	938
0	8027	938

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval218.0ms (2.6%)

Compiler: Compiled 33096 to 3353 computations (89.9% saved)

prune176.0ms (2.1%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1605	13	1618
Fresh	1	1	2
Picked	3	2	5
Done	0	4	4
Total	1609	20	1629

Accuracy

100.0%

Counts

1629 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
✓	63.4%	(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
	49.3%	(/.f64 x (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 2/9 binary64))) x))
▶	63.4%	(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
	73.6%	(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
	63.4%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
▶	62.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
	4.5%	(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))
	63.3%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
	63.4%	(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	73.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓	63.4%	(.f64 (.f64 x x) #s(literal 3 binary64))
▶	99.8%	(.f64 x (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x)))
	73.6%	(*.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))
	49.3%	(.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 2/9 binary64)))))
	99.7%	(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	63.5%	(.f64 x (.f64 x #s(literal 3 binary64)))
▶	6.2%	(*.f64 x #s(literal -9/2 binary64))

Compiler

Compiled 290 to 207 computations (28.6% saved)

simplify153.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2268×	`fma-define`
1910×	`fnmadd-define`
1536×	`fnmsub-define`
1530×	`fmsub-define`
1298×	`sum3-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	76
1	46	72
2	77	72
3	110	72
4	133	72
5	261	72
6	419	70
7	542	68
8	587	68
9	633	68
10	806	68
11	1286	68
12	2109	68
13	4742	68
14	6744	68
15	7688	68
16	7928	68
0	8004	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize169.0ms (2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.8%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 9 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -9/2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 x (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	99.6%	(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))

Results

110.0ms	217×	0	valid
16.0ms	25×	1	valid
14.0ms	14×	2	valid

Compiler

Compiled 88 to 24 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 16.0ms (41.8% of total)

ival-mult: 12.0ms (31.4% of total)

...c/correct-round.rkt:119:19: 5.0ms (13.1% of total)

backward-pass: 3.0ms (7.8% of total)

const: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

series4.0ms (0%)

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x -9/2)
0.0ms	x	@	-inf	(* x -9/2)
0.0ms	x	@	0	(/ 1/3 x)
0.0ms	x	@	-inf	(/ 1/3 x)
0.0ms	x	@	0	(* x -9/2)

rewrite275.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2378×	`-lowering-.f32`
2378×	`-lowering-.f64`
1620×	`fma-lowering-fma.f32`
1620×	`fma-lowering-fma.f64`
1474×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	104	53
2	580	51
3	4046	51
0	8702	51

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 711

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) #s(literal -1 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(neg.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) x))
(/.f64 (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) x) #s(literal 1 binary64)))
(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) x)))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) x)))
(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64))) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) x))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) x))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) x))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64))) x) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64))) x) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) x))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) x) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) x) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))))) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))))
(/.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)))) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) (.f64 x x)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x x)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 x x)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 x x)) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(.f64 (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) x)
(.f64 (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))) (.f64 x x)))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 x x)))
(.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)))) (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))))) (/.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(.f64 (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))))
(.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(+.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 1/3 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 1/3 binary64)))
(+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))) (/.f64 x #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(-.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 1/3 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) x)) (/.f64 #s(literal 9 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 x #s(literal -3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 x #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 x #s(literal 3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (/.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (/.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal -3 binary64) x (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) x (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/3 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 9 binary64)) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 9 binary64)) (neg.f64 (.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (/.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 9 binary64) (/.f64 x #s(literal -3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 9 binary64) (/.f64 x #s(literal -3 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 9 binary64) (neg.f64 (/.f64 x #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 9 binary64) (neg.f64 (/.f64 x #s(literal -3 binary64))) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 9 binary64) (/.f64 (/.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 9 binary64) (/.f64 (/.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 (.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64) (neg.f64 (.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/3 binary64) (neg.f64 (.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 3 binary64) x (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) x (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -9 binary64) (/.f64 x #s(literal -3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -9 binary64) (/.f64 x #s(literal -3 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 x #s(literal -3 binary64)) #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal -3 binary64)) #s(literal 9 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 2 binary64)))))
(neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 x (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 x (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))
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(.f64 (/.f64 (.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (neg.f64 (.f64 x (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (*.f64 x (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (/.f64 x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 9 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (.f64 x #s(literal 9 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (.f64 x x))) #s(literal 9 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (.f64 x x))) #s(literal 9 binary64))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal 9 binary64))))
(/.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 x (.f64 x #s(literal 9 binary64))))) (.f64 x (*.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x x) #s(literal -9 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 9 binary64)))
(neg.f64 (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
(*.f64 x #s(literal -9 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal -9 binary64) x)

simplify196.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2376×	`fnmadd-define`
1882×	`fma-lowering-fma.f32`
1882×	`fma-lowering-fma.f64`
1798×	`fmsub-define`
1748×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	695
1	94	593
2	214	593
3	568	593
4	1557	593
5	3001	593
6	5942	593
0	8121	593

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval101.0ms (1.2%)

Compiler: Compiled 11120 to 1518 computations (86.3% saved)

prune99.0ms (1.2%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	863	4	867
Fresh	2	7	9
Picked	0	5	5
Done	0	6	6
Total	865	22	887

Accuracy

100.0%

Counts

887 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
✓	63.4%	(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
	39.0%	(/.f64 (*.f64 x x) #s(literal -1/3 binary64))
	49.3%	(/.f64 x (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 2/9 binary64))) x))
✓	63.4%	(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
	39.0%	(/.f64 x (/.f64 #s(literal -1/3 binary64) x))
	73.6%	(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
	63.4%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
✓	62.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
	63.3%	(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
	63.4%	(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	73.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓	63.4%	(.f64 (.f64 x x) #s(literal 3 binary64))
	63.3%	(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 9 binary64))
✓	99.8%	(.f64 x (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x)))
	73.6%	(*.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))
	49.3%	(.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 2/9 binary64)))))
	72.8%	(.f64 x (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	63.5%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	6.2%	(*.f64 x #s(literal -9/2 binary64))

Compiler

Compiled 543 to 246 computations (54.7% saved)

regimes37.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -9/2 binary64))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))
(/.f64 x (/.f64 #s(literal -1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal -1/3 binary64))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 2/9 binary64)))))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 2/9 binary64))) x))
(.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))))
(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(.f64 x (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
(.f64 x (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) x)))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
(.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (.f64 x x)))

Outputs
(.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))))

Calls

2 calls:

25.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
10.0ms	x

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -9/2 binary64))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))
(/.f64 x (/.f64 #s(literal -1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal -1/3 binary64))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 2/9 binary64)))))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 2/9 binary64))) x))

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

Calls

2 calls:

7.0ms	x
6.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal -9/2 binary64))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))
(/.f64 x (/.f64 #s(literal -1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal -1/3 binary64))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal -9/2 binary64))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))
(/.f64 x (/.f64 #s(literal -1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal -1/3 binary64))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 9 binary64))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -9/2 binary64))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))
(/.f64 x (/.f64 #s(literal -1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal -1/3 binary64))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))

Outputs
(.f64 x (.f64 x #s(literal 3 binary64)))
(/.f64 x (/.f64 #s(literal -1/3 binary64) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -9/2 binary64))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))

Outputs
(.f64 x (.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.1%	2	`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
(*.f64 x #s(literal -9/2 binary64))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
6.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.18975071841882268	126008459.02020957
16.0ms	-160293553.31117567	-0.0006460340543084757

Results

18.0ms

304×

valid

Compiler

Compiled 318 to 219 computations (31.1% saved)

Precisions

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

ival-mult: 6.0ms (73.4% of total)

ival-sub: 2.0ms (24.5% of total)

const: 1.0ms (12.2% of total)

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

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.18975071841882268	126008459.02020957
14.0ms	-160293553.31117567	-0.0006460340543084757

Results

18.0ms

304×

valid

Compiler

Compiled 318 to 219 computations (31.1% saved)

Precisions

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

ival-mult: 6.0ms (72.7% of total)

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

const: 1.0ms (12.1% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.18975071841882268	126008459.02020957

Results

8.0ms

144×

valid

Compiler

Compiled 140 to 100 computations (28.6% saved)

Precisions

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

ival-mult: 3.0ms (79.4% of total)

ival-sub: 1.0ms (26.5% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.18975071841882268	126008459.02020957

Results

8.0ms

144×

valid

Compiler

Compiled 140 to 109 computations (22.1% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.18975071841882268	126008459.02020957

Results

8.0ms

144×

valid

Compiler

Compiled 122 to 91 computations (25.4% saved)

Precisions

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

ival-mult: 3.0ms (76.4% of total)

ival-sub: 1.0ms (25.5% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	105
1	66	105
2	86	105
3	101	105
4	110	105
5	114	105
6	115	105

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 x (/.f64 #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64))))
(if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -9/2 binary64)))
(*.f64 x #s(literal -9/2 binary64))

Outputs
(.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 2 binary64)))))
(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x)) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x))))
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 x (/.f64 #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -27/4 binary64) (*.f64 x #s(literal 9/2 binary64))))
(if (<=.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -9/2 binary64)))
(*.f64 x #s(literal -9/2 binary64))

soundness2.6s (30.7%)

Rules

3862×	`-lowering-.f32`
3862×	`-lowering-.f64`
3814×	`-lowering-.f32`
3814×	`-lowering-.f64`
3362×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1135
1	448	974
2	1303	948
3	3415	938
4	7417	938
0	8027	938
0	110	1183
1	340	989
2	858	987
3	2188	985
4	5818	985
0	8286	985
0	23	56
1	104	53
2	580	51
3	4046	51
0	8702	51
0	26	96
1	151	87
2	1104	84
0	8606	84
0	25	90
1	126	83
2	816	78
0	8320	78
0	12	41
1	58	36
2	449	36
3	3729	36
0	9154	36
0	7	8
1	17	8
2	45	7
3	120	7
4	249	7
5	354	7
6	540	7
7	830	7
8	2474	7
9	2892	7
10	3355	7
11	3951	7
12	3975	7
0	3975	7
0	28	480
1	79	401
2	190	401
3	536	401
4	1485	401
5	2778	401
6	6003	401
0	8279	401

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

Compiler

Compiled 378 to 222 computations (41.3% saved)

preprocess101.0ms (1.2%)

Compiler: Compiled 276 to 108 computations (60.9% saved)

analyze0.0ms (0%)

sample690.0ms (8.2%)

preprocess130.0ms (1.5%)

explain80.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify82.0ms (1%)

localize115.0ms (1.4%)

series4.0ms (0.1%)

rewrite292.0ms (3.5%)

simplify172.0ms (2%)

eval73.0ms (0.9%)

prune51.0ms (0.6%)

simplify136.0ms (1.6%)

localize209.0ms (2.5%)

series10.0ms (0.1%)

rewrite594.0ms (7%)

simplify243.0ms (2.9%)

eval182.0ms (2.2%)

prune84.0ms (1%)

simplify172.0ms (2%)

localize192.0ms (2.3%)

series6.0ms (0.1%)

rewrite395.0ms (4.7%)

simplify214.0ms (2.5%)

eval218.0ms (2.6%)

prune176.0ms (2.1%)

simplify153.0ms (1.8%)

localize169.0ms (2%)

series4.0ms (0%)

rewrite275.0ms (3.3%)

simplify196.0ms (2.3%)

eval101.0ms (1.2%)

prune99.0ms (1.2%)

regimes37.0ms (0.4%)

regimes26.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch37.0ms (0.4%)

bsearch31.0ms (0.4%)

bsearch20.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify13.0ms (0.2%)

soundness2.6s (30.7%)

preprocess101.0ms (1.2%)

end0.0ms (0%)

Profiling