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)

sample655.0ms (8.9%)

Results

477.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult: 201.0ms (73.2% of total)

ival-sub: 57.0ms (20.8% of total)

const: 13.0ms (4.7% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess128.0ms (1.7%)

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))

explain83.0ms (1.1%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
0	-	-	`(*.f64 x x)`
1	(-1.266812898686109e-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

43.0ms

512×

valid

Compiler

Compiled 60 to 23 computations (61.7% saved)

Precisions

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

ival-mult: 11.0ms (71.9% of total)

ival-sub: 3.0ms (19.6% of total)

const: 1.0ms (6.5% 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)

simplify80.0ms (1.1%)

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)

localize49.0ms (0.7%)

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

26.0ms	236×	0	valid
3.0ms	9×	2	valid
2.0ms	11×	1	valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

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

ival-mult: 11.0ms (72% of total)

ival-add: 2.0ms (13.1% of total)

const: 1.0ms (6.5% of total)

backward-pass: 1.0ms (6.5% of total)

ival-sub: 1.0ms (6.5% of total)

series9.0ms (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
5.0ms	x	@	inf	(* x (* x (+ 3 (* x -2))))
1.0ms	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))))

rewrite329.0ms (4.5%)

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))

simplify212.0ms (2.9%)

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))

eval51.0ms (0.7%)

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

prune80.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	476	9	485
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	476	11	487

Accuracy

100.0%

Counts

487 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(/.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)))))
	39.7%	(/.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))))
▶	86.5%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))))
▶	92.2%	(.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))))
▶	76.7%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
	56.5%	(.f64 (.f64 x x) #s(literal 3 binary64))
	39.8%	(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
▶	70.8%	(.f64 x (.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))))) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
▶	56.5%	(.f64 x (.f64 x #s(literal 3 binary64)))

Compiler

Compiled 292 to 186 computations (36.3% saved)

simplify203.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) x)
✓	cost-diff	128	(.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))))) x))
✓	cost-diff	128	(.f64 x (.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))))) x)))
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	cost-diff	256	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 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 #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	128	(.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))))

Rules

2720×	`-lowering-.f32`
2720×	`-lowering-.f64`
2042×	`sum3-define`
1376×	`fma-lowering-fma.f32`
1376×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	40	216
1	111	200
2	310	198
3	905	197
4	1603	197
5	2501	196
6	4161	195
7	6973	195
0	8031	195

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (* x (+ 9 (* (* x x) -4)))) (/ -1 (+ (* x -2) -3)))
(* x (* x (+ 9 (* (* x x) -4))))
x
(* x (+ 9 (* (* x x) -4)))
(+ 9 (* (* x x) -4))
9
(* (* x x) -4)
(* x x)
-4
(/ -1 (+ (* x -2) -3))
-1
(+ (* x -2) -3)
(* x -2)
-2
-3
(* x (* x 3))
x
(* x 3)
3
(* (* x x) (* x -2))
(* x x)
x
(* x -2)
-2
(- (* 3 (* x x)) (* (* x x) (* x 2)))
(* 3 (* x x))
3
(* x x)
x
(* (* x x) (* x 2))
(* x 2)
2
(* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)))
x
(* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x))
(+ 27 (* (* x (* x x)) -8))
27
(* (* x (* x x)) -8)
(* x (* x x))
(* x x)
-8
(* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)
(/ 1 (+ 9 (* x (+ (* x 4) 6))))
1
(+ 9 (* x (+ (* x 4) 6)))
9
(* x (+ (* x 4) 6))
(+ (* x 4) 6)
(* x 4)
4
6

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

localize235.0ms (3.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.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))))) x)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
✓	accuracy	92.1%	(.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))))) x))
✓	accuracy	73.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x x))
✓	accuracy	86.7%	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 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 (.f64 x x) #s(literal -4 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 9 binary64) (.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	92.2%	(.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))))

Results

99.0ms	209×	0	valid
36.0ms	26×	1	valid
19.0ms	17×	2	valid
5.0ms	4×	3	valid

Compiler

Compiled 263 to 41 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 62.0ms (70.8% of total)

ival-add: 12.0ms (13.7% of total)

ival-div: 5.0ms (5.7% of total)

backward-pass: 5.0ms (5.7% of total)

const: 2.0ms (2.3% of total)

ival-sub: 2.0ms (2.3% of total)

series17.0ms (0.2%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* (* x (* x (+ 9 (* (* x x) -4)))) (/ -1 (+ (* x -2) -3)))>
#<alt (* x (* x (+ 9 (* (* x x) -4))))>
#<alt (* x (+ 9 (* (* x x) -4)))>
#<alt (+ 9 (* (* x x) -4))>
#<alt (* x (* x 3))>
#<alt (* x 3)>
#<alt (* (* x x) (* x -2))>
#<alt (* x x)>
#<alt (* x -2)>
#<alt (- (* 3 (* x x)) (* (* x x) (* x 2)))>
#<alt (* 3 (* x x))>
#<alt (* (* x x) (* x 2))>
#<alt (* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)))>
#<alt (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x))>
#<alt (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)>
#<alt (+ 27 (* (* x (* x x)) -8))>
#<alt (* (* x x) -4)>
#<alt (* x 2)>
#<alt (/ 1 (+ 9 (* x (+ (* x 4) 6))))>

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 (* 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 (* 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 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 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) (- (* 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 (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 (* 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 (* 1/9 x)>
#<alt (* x (+ 1/9 (* -2/27 x)))>
#<alt (* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))>
#<alt (* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))>
#<alt (/ 1/4 x)>
#<alt (/ (- 1/4 (* 3/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)>
#<alt (/ 1/4 x)>
#<alt (* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))>
#<alt 27>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<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))>
#<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 1/9>
#<alt (+ 1/9 (* -2/27 x))>
#<alt (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))>
#<alt (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ (- 1/4 (* 3/8 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ (- 1/4 (* 3/8 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x))) (pow x 2))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)))
1.0ms	x	@	0	(* (* x (* x (+ 9 (* (* x x) -4)))) (/ -1 (+ (* x -2) -3)))
1.0ms	x	@	inf	(* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)))
1.0ms	x	@	-inf	(* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)))
0.0ms	x	@	-inf	(* (* x (* x (+ 9 (* (* x x) -4)))) (/ -1 (+ (* x -2) -3)))

rewrite409.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4006×	`-lowering-.f32`
4006×	`-lowering-.f64`
3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
2292×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	148
1	208	131
2	1634	130
0	8329	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 504

Calls

Call 1

Inputs
(* (* x (* x (+ 9 (* (* x x) -4)))) (/ -1 (+ (* x -2) -3)))
(* x (* x (+ 9 (* (* x x) -4))))
(* x (+ 9 (* (* x x) -4)))
(+ 9 (* (* x x) -4))
(* x (* x 3))
(* x 3)
(* (* x x) (* x -2))
(* x x)
(* x -2)
(- (* 3 (* x x)) (* (* x x) (* x 2)))
(* 3 (* x x))
(* (* x x) (* x 2))
(* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)))
(* (+ 27 (* (* x (* x x)) -8)) (* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x))
(* (/ 1 (+ 9 (* x (+ (* x 4) 6)))) x)
(+ 27 (* (* x (* x x)) -8))
(* (* x x) -4)
(* x 2)
(/ 1 (+ 9 (* x (+ (* x 4) 6))))

Outputs
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64))))) (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
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(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 6561 binary64) (.f64 (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal 9 binary64))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal 9 binary64)))))) (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal 9 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.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 #s(literal 1 binary64) (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (+.f64 #s(literal 81 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.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))))))))
(pow.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 9 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))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) #s(literal -1 binary64))
(.f64 #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 #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal 9 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.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 #s(literal 1 binary64) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) #s(literal -1 binary64)))

simplify211.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3018×	`-lowering-.f32`
3018×	`-lowering-.f64`
1738×	`fma-define`
1662×	`fma-lowering-fma.f32`
1662×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1428
1	389	1257
2	1007	1253
3	2836	1253
0	8360	1253

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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)))))
(* 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))
(* 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 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 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) (- (* 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 (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))
(* 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))
(* 1/9 x)
(* x (+ 1/9 (* -2/27 x)))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(/ 1/4 x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(/ 1/4 x)
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
27
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1/9
(+ 1/9 (* -2/27 x))
(+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))
(+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))
(/ 1/4 (pow x 2))
(/ (- 1/4 (* 3/8 (/ 1 x))) (pow x 2))
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) (pow x 2))
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) (pow x 2))
(/ 1/4 (pow x 2))
(/ (- 1/4 (* 3/8 (/ 1 x))) (pow x 2))
(/ (+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x))) (pow x 2))

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 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -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 (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* 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 x (.f64 (.f64 x (.f64 x x)) #s(literal -4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* -4 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* 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 (.f64 x (*.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 (.f64 x (*.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)))
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(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 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))
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(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
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(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
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(.f64 #s(literal 3 binary64) (.f64 x x))
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(.f64 #s(literal 3 binary64) (.f64 x x))
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(.f64 #s(literal 3 binary64) (.f64 x x))
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(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
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(*.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 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x 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)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
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(*.f64 x #s(literal -2 binary64))
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(*.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 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -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 (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
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(.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))
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(.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)))
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(.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)))
(* 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 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -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 (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) 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 (.f64 x x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* x (+ 1/9 (* -2/27 x)))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -2/27 binary64))))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 #s(literal -2/27 binary64) (.f64 (.f64 x x) #s(literal 8/243 binary64))))))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 #s(literal -2/27 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 8/243 binary64) (*.f64 x #s(literal -16/729 binary64))))))))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -27/32 binary64) (*.f64 x x))) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (.f64 x x)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -81/64 binary64) (.f64 x (*.f64 x x))))) x)) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -27/32 binary64) (*.f64 x x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (.f64 x x)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -81/64 binary64) (.f64 x (*.f64 x x))))) x)) x)
27
#s(literal 27 binary64)
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -4 (pow x 2))
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(* -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))
(* 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))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -2/27 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -2/27 binary64)))
(+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))
(+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 #s(literal -2/27 binary64) (.f64 (*.f64 x x) #s(literal 8/243 binary64)))))
(+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))
(+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 #s(literal -2/27 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 8/243 binary64) (.f64 x #s(literal -16/729 binary64)))))))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ (- 1/4 (* 3/8 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -27/32 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (.f64 x x)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -81/64 binary64) (.f64 x (.f64 x x))))) x)) (.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ (- 1/4 (* 3/8 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x) x)
(/ (+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -27/32 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (.f64 x x)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -81/64 binary64) (.f64 x (.f64 x x))))) x)) (.f64 x x))

eval153.0ms (2.1%)

Compiler: Compiled 24285 to 1851 computations (92.4% saved)

prune83.0ms (1.1%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	822	9	831
Fresh	2	2	4
Picked	3	2	5
Done	0	2	2
Total	827	15	842

Accuracy

100.0%

Counts

842 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
▶	61.5%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) x) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
	70.8%	(.f64 (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) x))
	69.3%	(.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
▶	89.4%	(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	76.7%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
▶	56.5%	(.f64 (.f64 x x) #s(literal 3 binary64))
	39.8%	(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
	70.8%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 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)))) x))))
	54.5%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.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)))))))
▶	29.8%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)))
▶	78.4%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x #s(literal 1/9 binary64))))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	56.5%	(.f64 x (.f64 x #s(literal 3 binary64)))

Compiler

Compiled 498 to 329 computations (33.9% saved)

simplify240.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))) x)
✓	cost-diff	0	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) x) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x)
✓	cost-diff	512	(.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x))
✓	cost-diff	640	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
✓	cost-diff	0	(+.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (*.f64 x #s(literal 1/9 binary64)))
✓	cost-diff	128	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x #s(literal 1/9 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	128	(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))

Rules

4324×	`-lowering-.f32`
4324×	`-lowering-.f64`
2962×	`+-lowering-+.f64`
2962×	`+-lowering-+.f32`
1692×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	227
1	95	211
2	269	199
3	801	192
4	2049	188
5	4393	188
6	6984	188
0	8214	188

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (* x x)) (- -2 (/ -3 x)))
(* x (* x x))
x
(* x x)
(- -2 (/ -3 x))
-2
(/ -3 x)
-3
(* (* x x) 3)
(* x x)
x
3
(* x (* (+ 27 (* (* x (* x x)) -8)) (* x 1/9)))
x
(* (+ 27 (* (* x (* x x)) -8)) (* x 1/9))
(+ 27 (* (* x (* x x)) -8))
27
(* (* x (* x x)) -8)
(* x (* x x))
(* x x)
-8
(* x 1/9)
1/9
(* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1/4 (* x x)) x)))
x
(* (+ 27 (* (* x (* x x)) -8)) (* (/ 1/4 (* x x)) x))
(+ 27 (* (* x (* x x)) -8))
27
(* (* x (* x x)) -8)
(* x (* x x))
(* x x)
-8
(* (/ 1/4 (* x x)) x)
(/ 1/4 (* x x))
1/4
(/ (* (* x (+ 27 (* x (* (* x x) -8)))) x) (+ 9 (* x (+ (* x 4) 6))))
(* (* x (+ 27 (* x (* (* x x) -8)))) x)
(* x (+ 27 (* x (* (* x x) -8))))
x
(+ 27 (* x (* (* x x) -8)))
27
(* x (* (* x x) -8))
(* (* x x) -8)
(* x x)
-8
(+ 9 (* x (+ (* x 4) 6)))
9
(* x (+ (* x 4) 6))
(+ (* x 4) 6)
(* x 4)
4
6

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

localize266.0ms (3.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))) x)
✓	accuracy	64.7%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) x) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)))
✓	accuracy	99.5%	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
✓	accuracy	92.1%	(.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x))
✓	accuracy	56.8%	(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x #s(literal 1/9 binary64))))
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (*.f64 x #s(literal 1/9 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/9 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	89.5%	(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))

Results

109.0ms	214×	0	valid
51.0ms	17×	3	valid
20.0ms	10×	4	valid
16.0ms	7×	5	exit
5.0ms	7×	1	valid
2.0ms	1×	2	valid

Compiler

Compiled 278 to 37 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 51.0ms (46.6% of total)

ival-add: 29.0ms (26.5% of total)

...c/correct-round.rkt:119:19: 9.0ms (8.2% of total)

ival-div: 9.0ms (8.2% of total)

backward-pass: 9.0ms (8.2% of total)

const: 2.0ms (1.8% of total)

ival-sub: 2.0ms (1.8% of total)

series16.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* (* x (* x x)) (- -2 (/ -3 x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (- -2 (/ -3 x))>
#<alt (* (* x x) 3)>
#<alt (* x (* (+ 27 (* (* x (* x x)) -8)) (* x 1/9)))>
#<alt (* (+ 27 (* (* x (* x x)) -8)) (* x 1/9))>
#<alt (+ 27 (* (* x (* x x)) -8))>
#<alt (* (* x (* x x)) -8)>
#<alt (* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1/4 (* x x)) x)))>
#<alt (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1/4 (* x x)) x))>
#<alt (* (/ 1/4 (* x x)) x)>
#<alt (/ (* (* x (+ 27 (* x (* (* x x) -8)))) x) (+ 9 (* x (+ (* x 4) 6))))>
#<alt (* (* x (+ 27 (* x (* (* x x) -8)))) x)>
#<alt (* x (+ 27 (* x (* (* x x) -8))))>
#<alt (+ 27 (* x (* (* x x) -8)))>
#<alt (* x 1/9)>
#<alt (/ 1/4 (* x x))>
#<alt (* x (* (* x x) -8))>
#<alt (* x (+ (* x 4) 6))>

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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (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 (/ 3 x)>
#<alt (/ (+ 3 (* -2 x)) x)>
#<alt (/ (+ 3 (* -2 x)) x)>
#<alt (/ (+ 3 (* -2 x)) x)>
#<alt -2>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt -2>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 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 (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -8/9 (pow x 3))))>
#<alt (* (pow x 2) (+ 3 (* -8/9 (pow x 3))))>
#<alt (* (pow x 2) (+ 3 (* -8/9 (pow x 3))))>
#<alt (* -8/9 (pow x 5))>
#<alt (* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* -8/9 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -8/9 (pow x 3))))>
#<alt (* x (+ 3 (* -8/9 (pow x 3))))>
#<alt (* x (+ 3 (* -8/9 (pow x 3))))>
#<alt (* -8/9 (pow x 4))>
#<alt (* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* -8/9 (pow x 4))>
#<alt (* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt (* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))>
#<alt 27>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt 27/4>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (/ 27/4 x)>
#<alt (/ (+ 27/4 (* -2 (pow x 3))) x)>
#<alt (/ (+ 27/4 (* -2 (pow x 3))) x)>
#<alt (/ (+ 27/4 (* -2 (pow x 3))) x)>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 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 (* 27 (pow x 2))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* -8 (pow x 5))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* 27 x)>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* -8 (pow x 4))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 4))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt 27>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* 4 x)))>
#<alt (* x (+ 6 (* 4 x)))>
#<alt (* x (+ 6 (* 4 x)))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (* x (* x x)) -8)
2.0ms	x	@	inf	(* x (* x x))
1.0ms	x	@	-inf	(* x (* (+ 27 (* (* x (* x x)) -8)) (* x 1/9)))
0.0ms	x	@	inf	(* (* x (* x x)) (- -2 (/ -3 x)))
0.0ms	x	@	inf	(* x (* (+ 27 (* (* x (* x x)) -8)) (* x 1/9)))

rewrite410.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4066×	`-lowering-.f32`
4066×	`-lowering-.f64`
3492×	`/-lowering-/.f32`
3492×	`/-lowering-/.f64`
2212×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	160
1	186	146
2	1299	138
0	8437	138

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 605

Calls

Call 1

Inputs
(* (* x (* x x)) (- -2 (/ -3 x)))
(* x (* x x))
(* x x)
(- -2 (/ -3 x))
(* (* x x) 3)
(* x (* (+ 27 (* (* x (* x x)) -8)) (* x 1/9)))
(* (+ 27 (* (* x (* x x)) -8)) (* x 1/9))
(+ 27 (* (* x (* x x)) -8))
(* (* x (* x x)) -8)
(* x (* (+ 27 (* (* x (* x x)) -8)) (* (/ 1/4 (* x x)) x)))
(* (+ 27 (* (* x (* x x)) -8)) (* (/ 1/4 (* x x)) x))
(* (/ 1/4 (* x x)) x)
(/ (* (* x (+ 27 (* x (* (* x x) -8)))) x) (+ 9 (* x (+ (* x 4) 6))))
(* (* x (+ 27 (* x (* (* x x) -8)))) x)
(* x (+ 27 (* x (* (* x x) -8))))
(+ 27 (* x (* (* x x) -8)))
(* x 1/9)
(/ 1/4 (* x x))
(* x (* (* x x) -8))
(* x (+ (* x 4) 6))

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

simplify193.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
1980×	`fma-define`
1754×	`fma-lowering-fma.f32`
1754×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	1476
1	242	1354
2	646	1354
3	1991	1354
4	6189	1336
0	8412	1336

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
(/ 3 x)
(/ (+ 3 (* -2 x)) x)
(/ (+ 3 (* -2 x)) x)
(/ (+ 3 (* -2 x)) x)
-2
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 x)) 2)
-2
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 x)) 2)
(- (* 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))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -8/9 (pow x 3))))
(* (pow x 2) (+ 3 (* -8/9 (pow x 3))))
(* (pow x 2) (+ 3 (* -8/9 (pow x 3))))
(* -8/9 (pow x 5))
(* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* -8/9 (pow x 5))
(* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))
(* 3 x)
(* x (+ 3 (* -8/9 (pow x 3))))
(* x (+ 3 (* -8/9 (pow x 3))))
(* x (+ 3 (* -8/9 (pow x 3))))
(* -8/9 (pow x 4))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* -8/9 (pow x 4))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
27
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
27/4
(+ 27/4 (* -2 (pow x 3)))
(+ 27/4 (* -2 (pow x 3)))
(+ 27/4 (* -2 (pow x 3)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(/ 27/4 x)
(/ (+ 27/4 (* -2 (pow x 3))) x)
(/ (+ 27/4 (* -2 (pow x 3))) x)
(/ (+ 27/4 (* -2 (pow x 3))) x)
(* -2 (pow x 2))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 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)))))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* -8 (pow x 5))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 5))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* 27 x)
(* x (+ 27 (* -8 (pow x 3))))
(* x (+ 27 (* -8 (pow x 3))))
(* x (+ 27 (* -8 (pow x 3))))
(* -8 (pow x 4))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 4))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
27
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* 6 x)
(* x (+ 6 (* 4 x)))
(* x (+ 6 (* 4 x)))
(* x (+ 6 (* 4 x)))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 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 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -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 (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.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)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* -2 x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x)
(/ (+ 3 (* -2 x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x)
(/ (+ 3 (* -2 x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x)
-2
#s(literal -2 binary64)
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
-2
#s(literal -2 binary64)
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -8/9 (pow x 3))))
(.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -8/9 binary64))))
(* (pow x 2) (+ 3 (* -8/9 (pow x 3))))
(.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -8/9 binary64))))
(* (pow x 2) (+ 3 (* -8/9 (pow x 3))))
(.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -8/9 binary64))))
(* -8/9 (pow x 5))
(.f64 x (.f64 #s(literal -8/9 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))))
(* -8/9 (pow x 5))
(.f64 x (.f64 #s(literal -8/9 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 8/9 (* 3 (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -8/9 (pow x 3))))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8/9 binary64))))
(* x (+ 3 (* -8/9 (pow x 3))))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8/9 binary64))))
(* x (+ 3 (* -8/9 (pow x 3))))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8/9 binary64))))
(* -8/9 (pow x 4))
(.f64 #s(literal -8/9 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))))
(* -8/9 (pow x 4))
(.f64 #s(literal -8/9 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 3 (/ 1 (pow x 3))) 8/9))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8/9 binary64) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))))
27
#s(literal 27 binary64)
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
27/4
#s(literal 27/4 binary64)
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64))
(/ 27/4 x)
(/.f64 #s(literal 27/4 binary64) x)
(/ (+ 27/4 (* -2 (pow x 3))) x)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64)) x)
(/ (+ 27/4 (* -2 (pow x 3))) x)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64)) x)
(/ (+ 27/4 (* -2 (pow x 3))) x)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) #s(literal 27/4 binary64)) x)
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (/.f64 #s(literal 27/4 binary64) x) (.f64 x (.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (/.f64 #s(literal 27/4 binary64) x) (.f64 x (.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (/.f64 #s(literal 27/4 binary64) x) (.f64 x (.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (/.f64 #s(literal 27/4 binary64) x) (.f64 x (.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (/.f64 #s(literal 27/4 binary64) x) (.f64 x (.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (/.f64 #s(literal 27/4 binary64) x) (.f64 x (.f64 x #s(literal -2 binary64))))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) 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 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -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 (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* 27 (pow x 2))
(.f64 x (.f64 x #s(literal 27 binary64)))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(.f64 x (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(.f64 x (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(.f64 x (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))
(* -8 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -8 binary64)))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))
(* -8 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -8 binary64)))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* x (+ 27 (* -8 (pow x 3))))
(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
(* x (+ 27 (* -8 (pow x 3))))
(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
(* x (+ 27 (* -8 (pow x 3))))
(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
(* -8 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -8 binary64))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))
(* -8 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -8 binary64))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))
27
#s(literal 27 binary64)
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* 4 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* x (+ 6 (* 4 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* x (+ 6 (* 4 x)))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 4 binary64))))

eval216.0ms (2.9%)

Compiler: Compiled 28238 to 2431 computations (91.4% saved)

prune109.0ms (1.5%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1089	8	1097
Fresh	2	4	6
Picked	3	2	5
Done	0	4	4
Total	1094	18	1112

Accuracy

100.0%

Counts

1112 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
▶	20.3%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (.f64 x #s(literal 1/4 binary64))) (*.f64 x x))
▶	89.5%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
▶	51.5%	(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))
	70.8%	(.f64 (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) x))
✓	89.4%	(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	76.7%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓	56.5%	(.f64 (.f64 x x) #s(literal 3 binary64))
	39.8%	(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
	3.2%	(*.f64 x (/.f64 #s(literal 27/4 binary64) x))
	29.8%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) x))))
	54.5%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.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)))))))
	29.8%	(.f64 x (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	56.5%	(.f64 x (.f64 x #s(literal 3 binary64)))
▶	56.5%	(.f64 x (.f64 #s(literal 27 binary64) (*.f64 x #s(literal 1/9 binary64))))
▶	3.2%	#s(literal 27/4 binary64)

Compiler

Compiled 476 to 307 computations (35.5% saved)

simplify179.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
✓	cost-diff	128	(.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	640	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (.f64 x #s(literal 1/4 binary64))) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) x)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/9 binary64))
✓	cost-diff	128	(.f64 #s(literal 27 binary64) (.f64 x #s(literal 1/9 binary64)))
✓	cost-diff	128	(.f64 x (.f64 #s(literal 27 binary64) (*.f64 x #s(literal 1/9 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -3 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x))
✓	cost-diff	6208	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	6336	(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))

Rules

4504×	`-lowering-.f32`
4504×	`-lowering-.f64`
1428×	`distribute-lft-in`
1392×	`distribute-rgt-in`
1168×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	68	138
2	247	126
3	745	123
4	1870	121
5	3984	121
6	6437	121
0	8143	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize339.0ms (4.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
✓	accuracy	99.9%	(.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (.f64 x #s(literal 1/4 binary64)))
✓	accuracy	67.5%	(/.f64 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (.f64 x #s(literal 1/4 binary64))) (*.f64 x x))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -8 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))))
✓	accuracy	94.4%	(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 27 binary64) (*.f64 x #s(literal 1/9 binary64))))
✓	accuracy	99.8%	(.f64 #s(literal 27 binary64) (.f64 x #s(literal 1/9 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/9 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -3 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x))
✓	accuracy	92.4%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))

Results

182.0ms	92×	5	exit
95.0ms	162×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 71.0ms (44.5% of total)

backward-pass: 23.0ms (14.4% of total)

...c/correct-round.rkt:119:19: 22.0ms (13.8% of total)

ival-pow: 20.0ms (12.5% of total)

ival-div: 16.0ms (10% of total)

ival-add: 4.0ms (2.5% of total)

const: 2.0ms (1.3% of total)

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

series6.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

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

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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 3 x)>
#<alt (/ (+ 3 (* -2 x)) x)>
#<alt (/ (+ 3 (* -2 x)) x)>
#<alt (/ (+ 3 (* -2 x)) x)>
#<alt -2>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt -2>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 3 (/ 1 x)) 2)>
#<alt (- (* 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 (* 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 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 (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt 27/4>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (/ 1/4 x)>
#<alt (* 27 x)>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* -8 (pow x 4))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 4))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt 27>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt 27/4>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (+ 27/4 (* -2 (pow x 3)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* 27/4 (pow x 2))>
#<alt (* (pow x 2) (+ 27/4 (* -2 (pow x 3))))>
#<alt (* (pow x 2) (+ 27/4 (* -2 (pow x 3))))>
#<alt (* (pow x 2) (+ 27/4 (* -2 (pow x 3))))>
#<alt (* -2 (pow x 5))>
#<alt (* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))>
#<alt (* -2 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>
#<alt (* -8 (pow x 2))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (* x x) -8)
0.0ms	x	@	inf	(* (* x x) -8)
0.0ms	x	@	-inf	(* (* x (+ 27 (* x (* (* x x) -8)))) (* x 1/4))
0.0ms	x	@	0	(* (* x (+ 27 (* x (* (* x x) -8)))) (* x 1/4))
0.0ms	x	@	inf	(* (* x (+ 27 (* x (* (* x x) -8)))) (* x 1/4))

rewrite336.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5108×	`-lowering-.f32`
5108×	`-lowering-.f64`
2970×	`/-lowering-/.f32`
2970×	`/-lowering-/.f64`
1000×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	124	92
2	860	80
0	8056	80

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 704

Calls

Call 1

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

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

simplify166.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2600×	`-lowering-.f32`
2600×	`-lowering-.f64`
1922×	`fma-define`
1396×	`fma-lowering-fma.f32`
1396×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	942
1	162	853
2	452	853
3	1504	853
4	5430	853
0	8531	853

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 3 x)
(/ (+ 3 (* -2 x)) x)
(/ (+ 3 (* -2 x)) x)
(/ (+ 3 (* -2 x)) x)
-2
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 x)) 2)
-2
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 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)
(* 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 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
27/4
(+ 27/4 (* -2 (pow x 3)))
(+ 27/4 (* -2 (pow x 3)))
(+ 27/4 (* -2 (pow x 3)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(/ 1/4 x)
(* 27 x)
(* x (+ 27 (* -8 (pow x 3))))
(* x (+ 27 (* -8 (pow x 3))))
(* x (+ 27 (* -8 (pow x 3))))
(* -8 (pow x 4))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 4))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
27
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
27/4
(+ 27/4 (* -2 (pow x 3)))
(+ 27/4 (* -2 (pow x 3)))
(+ 27/4 (* -2 (pow x 3)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* 27/4 (pow x 2))
(* (pow x 2) (+ 27/4 (* -2 (pow x 3))))
(* (pow x 2) (+ 27/4 (* -2 (pow x 3))))
(* (pow x 2) (+ 27/4 (* -2 (pow x 3))))
(* -2 (pow x 5))
(* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))
(* -2 (pow x 5))
(* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (pow x 2))
(* -8 (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 x (.f64 x (*.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))))
(* (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 x (*.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 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* -2 x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x)
(/ (+ 3 (* -2 x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x)
(/ (+ 3 (* -2 x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x)
-2
#s(literal -2 binary64)
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
-2
#s(literal -2 binary64)
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))
(- (* 3 (/ 1 x)) 2)
(+.f64 #s(literal -2 binary64) (/.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)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 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)
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
27/4
#s(literal 27/4 binary64)
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* x (+ 27 (* -8 (pow x 3))))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* x (+ 27 (* -8 (pow x 3))))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* x (+ 27 (* -8 (pow x 3))))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* -8 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* -8 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(.f64 x (-.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
27
#s(literal 27 binary64)
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))
27/4
#s(literal 27/4 binary64)
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(+ 27/4 (* -2 (pow x 3)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* (pow x 3) (- (* 27/4 (/ 1 (pow x 3))) 2))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -2 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* -1 (* (pow x 3) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))
(* 27/4 (pow x 2))
(.f64 x (.f64 x #s(literal 27/4 binary64)))
(* (pow x 2) (+ 27/4 (* -2 (pow x 3))))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))))
(* (pow x 2) (+ 27/4 (* -2 (pow x 3))))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))))
(* (pow x 2) (+ 27/4 (* -2 (pow x 3))))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 27/4 binary64))))
(* -2 (pow x 5))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 27/4 (/ 1 (pow x 3))) 2))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (.f64 x (*.f64 x x)))))
(* -2 (pow x 5))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 2 (* 27/4 (/ 1 (pow x 3))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (.f64 x (*.f64 x x)))))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))
(* -8 (pow x 2))
(.f64 x (.f64 x #s(literal -8 binary64)))

eval192.0ms (2.6%)

Compiler: Compiled 29514 to 1988 computations (93.3% saved)

prune136.0ms (1.8%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1092	6	1098
Fresh	1	6	7
Picked	4	1	5
Done	0	6	6
Total	1097	19	1116

Accuracy

100.0%

Counts

1116 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -729 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)))
	20.3%	(/.f64 (.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 27/4 binary64))) x) (.f64 x x))
	76.8%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
	69.2%	(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
	3.2%	(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 27 binary64)))
	70.8%	(.f64 (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) x))
✓	89.4%	(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	76.7%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓	56.5%	(.f64 (.f64 x x) #s(literal 3 binary64))
	56.5%	(.f64 (.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 1/9 binary64))
	39.8%	(.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
	3.2%	(*.f64 x (/.f64 #s(literal 27/4 binary64) x))
	29.8%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) x))))
	54.5%	(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.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)))))))
	29.8%	(.f64 x (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	56.5%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	3.2%	#s(literal 27/4 binary64)

Compiler

Compiled 781 to 312 computations (60.1% saved)

regimes25.0ms (0.3%)

Counts

34 → 1

Calls

Call 1

Inputs
#s(literal 27/4 binary64)
(.f64 x (.f64 x #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 27/4 binary64) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 27 binary64) (*.f64 x #s(literal 1/9 binary64))))
(.f64 (.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 1/9 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x #s(literal 27 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 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))
(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 x #s(literal 1/9 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -8 binary64))))))
(.f64 x (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x)))
(.f64 (.f64 x (.f64 (.f64 x (.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 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 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64)) #s(literal 27/4 binary64))) x) (.f64 x x))
(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) 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 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) (.f64 x #s(literal 1/4 binary64))) (*.f64 x x))
(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) x))))
(.f64 (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) x))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))) x) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
(.f64 x (.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))))) x)))
(.f64 x (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 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)))) x))))
(/.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 x (.f64 x (.f64 #s(literal 64 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -729 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 4 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 (/.f64 x (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.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 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) x)))

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

Calls

2 calls:

14.0ms	(.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)

regimes6.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
96.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
56.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 27/4 binary64)

Outputs
#s(literal 27/4 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.8628416027427358	33.41790409562235
10.0ms	-11940.311699276192	-1.4537043371282667

Results

12.0ms

240×

valid

Compiler

Compiled 254 to 175 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (77.4% of total)

ival-sub: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	28	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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)))))
(.f64 x (.f64 x #s(literal 3 binary64)))
#s(literal 27/4 binary64)

Outputs
(.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))))
(.f64 x (.f64 x #s(literal 3 binary64)))
#s(literal 27/4 binary64)

soundness1.5s (20%)

Rules

3310×	`-lowering-.f32`
3310×	`-lowering-.f64`
3018×	`-lowering-.f32`
3018×	`-lowering-.f64`
2718×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1428
1	389	1257
2	1007	1253
3	2836	1253
0	8360	1253
0	90	1476
1	242	1354
2	646	1354
3	1991	1354
4	6189	1336
0	8412	1336
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	12	41
1	58	36
2	449	36
3	3729	36
0	9154	36
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×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 125 to 73 computations (41.6% saved)

preprocess53.0ms (0.7%)

Compiler: Compiled 126 to 64 computations (49.2% saved)

analyze0.0ms (0%)

sample655.0ms (8.9%)

preprocess128.0ms (1.7%)

explain83.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify80.0ms (1.1%)

localize49.0ms (0.7%)

series9.0ms (0.1%)

rewrite329.0ms (4.5%)

simplify212.0ms (2.9%)

eval51.0ms (0.7%)

prune80.0ms (1.1%)

simplify203.0ms (2.7%)

localize235.0ms (3.2%)

series17.0ms (0.2%)

rewrite409.0ms (5.5%)

simplify211.0ms (2.9%)

eval153.0ms (2.1%)

prune83.0ms (1.1%)

simplify240.0ms (3.2%)

localize266.0ms (3.6%)

series16.0ms (0.2%)

rewrite410.0ms (5.6%)

simplify193.0ms (2.6%)

eval216.0ms (2.9%)

prune109.0ms (1.5%)

simplify179.0ms (2.4%)

localize339.0ms (4.6%)

series6.0ms (0.1%)

rewrite336.0ms (4.6%)

simplify166.0ms (2.3%)

eval192.0ms (2.6%)

prune136.0ms (1.8%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch23.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.5s (20%)

preprocess53.0ms (0.7%)

end0.0ms (0%)

Profiling