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)

sample683.0ms (9.2%)

Results

471.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-mult: 231.0ms (78.6% of total)

ival-sub: 47.0ms (16% of total)

const: 13.0ms (4.4% of total)

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

Bogosity

preprocess142.0ms (1.9%)

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))

explain68.0ms (0.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#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: 22.0ms

ival-mult: 18.0ms (80.7% of total)

ival-sub: 3.0ms (13.4% of total)

const: 1.0ms (4.5% of total)

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

eval1.0ms (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)

simplify84.0ms (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

29.0ms	233×	0	valid
3.0ms	10×	2	valid
3.0ms	13×	1	valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

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

ival-mult: 12.0ms (71.2% of total)

ival-add: 2.0ms (11.9% of total)

const: 1.0ms (5.9% of total)

backward-pass: 1.0ms (5.9% of total)

ival-sub: 1.0ms (5.9% of total)

series7.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite279.0ms (3.7%)

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

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval79.0ms (1.1%)

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

prune66.0ms (0.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	472	13	485
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	472	15	487

Accuracy

100.0%

Counts

487 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(/.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)))
	21.0%	(/.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))))))
	49.7%	(/.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))))
▶	49.7%	(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
	99.7%	(.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)))
	96.9%	(.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 (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)))))))
	75.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
	63.3%	(.f64 (.f64 x x) #s(literal 3 binary64))
▶	99.8%	(.f64 x (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
▶	73.9%	(.f64 x (/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
▶	99.7%	(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
▶	63.3%	(.f64 x (.f64 x #s(literal 3 binary64)))

Compiler

Compiled 512 to 340 computations (33.6% saved)

simplify205.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 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	0	(.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)
✓	cost-diff	128	(.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
✓	cost-diff	128	(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) x)
✓	cost-diff	0	(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) x) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))

Rules

2534×	`-lowering-.f32`
2534×	`-lowering-.f64`
1802×	`fnmsub-define`
1304×	`fmsub-define`
1204×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	249
1	102	237
2	261	237
3	636	237
4	1262	236
5	2143	234
6	2974	234
7	5239	234
8	7785	234
0	8554	234

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize262.0ms (3.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
✓	accuracy	99.8%	(.f64 x (/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
✓	accuracy	65.3%	(/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.7%	(/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) x)
✓	accuracy	99.8%	(.f64 x (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓	accuracy	91.4%	(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) x) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))

Results

117.0ms	202×	0	valid
44.0ms	21×	2	valid
20.0ms	27×	1	valid
6.0ms	4×	3	valid
3.0ms	2×	4	valid

Compiler

Compiled 304 to 40 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 42.0ms (58.1% of total)

ival-add: 13.0ms (18% of total)

ival-div: 9.0ms (12.5% of total)

backward-pass: 7.0ms (9.7% of total)

const: 2.0ms (2.8% of total)

series20.0ms (0.3%)

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite412.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3800×	`/-lowering-/.f32`
3800×	`/-lowering-/.f64`
3354×	`-lowering-.f32`
3354×	`-lowering-.f64`
1732×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	178
1	208	151
2	1680	146
0	8277	146

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 703

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64)))) (.f64 x (.f64 (+.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 (+.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)))) (+.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 x (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x))) (+.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) x) (+.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))))) (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 x (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)))) (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) x)) (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
(.f64 (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) x)
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (.f64 (/.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
(.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(.f64 (/.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))))))
(.f64 (/.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (/.f64 (.f64 (+.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 x))
(.f64 (.f64 x (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))))))
(.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64))) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))))))
(.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 x)))
(neg.f64 (.f64 (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 x)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) #s(literal -36 binary64)))) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (.f64 (+.f64 #s(literal -729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal -81 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (.f64 (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) #s(literal -36 binary64)))) (/.f64 (+.f64 #s(literal -729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 9 binary64)) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) #s(literal -81 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) x))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (neg.f64 x)) (+.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) x))
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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 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 6 binary64)))))
(fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))
(fma.f64 x (.f64 #s(literal -2 binary64) (.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 6 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 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64)) (.f64 x (*.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) (.f64 x (*.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -3 binary64) (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x #s(literal 4 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) #s(literal -2 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) x (*.f64 x #s(literal 6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #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 #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (.f64 x #s(literal 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 x (.f64 x #s(literal 4 binary64))) (.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64))))))
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(/.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)))
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(.f64 (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) x)
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(.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 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 4 binary64)) #s(literal -6 binary64))))
(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)))

simplify204.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2634×	`-lowering-.f32`
2634×	`-lowering-.f64`
1226×	`+-lowering-+.f64`
1226×	`+-lowering-+.f32`
1014×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1551
1	462	1331
2	1200	1323
3	3100	1323
0	8038	1323

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

eval148.0ms (2%)

Compiler: Compiled 28574 to 2857 computations (90% saved)

prune127.0ms (1.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1155	8	1163
Fresh	5	3	8
Picked	4	1	5
Done	0	2	2
Total	1164	14	1178

Accuracy

100.0%

Counts

1178 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	(/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
	96.8%	(/.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)))
	76.7%	(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 (.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 27 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -8 binary64))))))
	63.3%	(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
▶	49.7%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x))
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
▶	75.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
▶	63.3%	(.f64 (.f64 x x) #s(literal 3 binary64))
	50.1%	(.f64 x (/.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
	52.0%	(.f64 x (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	63.3%	(.f64 x (.f64 x #s(literal 3 binary64)))

Compiler

Compiled 306 to 214 computations (30.1% saved)

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2170×	`fnmadd-define`
1800×	`sum5-define`
1770×	`fma-define`
1664×	`sum3-define`
1536×	`sum4-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	20	131
1	55	125
2	116	124
3	255	124
4	557	124
5	905	123
6	1142	121
7	1283	120
8	1488	120
9	1988	120
10	3083	120
11	6823	120
0	8027	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize154.0ms (2.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)
✓	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 x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))

Results

74.0ms	233×	0	valid
7.0ms	10×	2	valid
5.0ms	13×	1	valid

Compiler

Compiled 157 to 21 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 23.0ms (54.8% of total)

ival-div: 13.0ms (31% of total)

ival-add: 3.0ms (7.2% of total)

const: 1.0ms (2.4% of total)

backward-pass: 1.0ms (2.4% of total)

series4.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite304.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3216×	`-lowering-.f32`
3216×	`-lowering-.f64`
2748×	`/-lowering-/.f32`
2748×	`/-lowering-/.f64`
1610×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	87
1	118	80
2	726	76
3	6421	76
0	8459	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 917

Calls

Call 1

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

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

simplify311.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2674×	`-lowering-.f32`
2674×	`-lowering-.f64`
1576×	`+-lowering-+.f64`
1576×	`+-lowering-+.f32`
1468×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1171
1	500	994
2	1385	986
3	3551	986
0	8306	986

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

eval234.0ms (3.1%)

Compiler: Compiled 33225 to 3599 computations (89.2% saved)

prune166.0ms (2.2%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1521	6	1527
Fresh	3	3	6
Picked	3	2	5
Done	0	3	3
Total	1527	14	1541

Accuracy

100.0%

Counts

1541 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(/.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)))
	75.6%	(/.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
	63.3%	(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
	63.3%	(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	63.3%	(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
▶	75.6%	(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) x) x))
▶	75.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	75.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓	63.3%	(.f64 (.f64 x x) #s(literal 3 binary64))
▶	50.1%	(.f64 x (/.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	63.3%	(.f64 x (.f64 x #s(literal 3 binary64)))

Compiler

Compiled 224 to 155 computations (30.8% saved)

simplify382.0ms (5.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4902×	`-lowering-.f32`
4902×	`-lowering-.f64`
2894×	`fma-define`
2360×	`fma-lowering-fma.f32`
2360×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	25	117
1	57	111
2	110	110
3	215	110
4	429	110
5	530	110
6	666	110
7	710	110
8	801	109
9	930	109
10	1009	109
11	1399	109
12	1982	109
13	2279	109
14	2961	109
15	3988	109
16	5169	109
17	5727	109
18	6401	109
19	6725	109
20	6968	109
21	7133	109
0	8680	109

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize164.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.8%	(.f64 x (/.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 x #s(literal -9 binary64)) (+.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))
✓	accuracy	99.3%	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓	accuracy	99.3%	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) x) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) x) x))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) x)

Results

103.0ms	224×	0	valid
10.0ms	14×	2	valid
9.0ms	18×	1	valid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 24.0ms (55.4% of total)

ival-mult: 9.0ms (20.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (9.2% of total)

ival-add: 3.0ms (6.9% of total)

backward-pass: 2.0ms (4.6% of total)

const: 1.0ms (2.3% of total)

series8.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

Calls

48 calls:

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

rewrite384.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3974×	`-lowering-.f32`
3974×	`-lowering-.f64`
3300×	`/-lowering-/.f32`
3300×	`/-lowering-/.f64`
1562×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	89
1	147	82
2	904	82
3	7506	82
0	8589	82

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 955

Calls

Call 1

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

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

simplify249.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2842×	`-lowering-.f32`
2842×	`-lowering-.f64`
2542×	`+-lowering-+.f64`
2542×	`+-lowering-+.f32`
1334×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	1201
1	520	1072
2	1437	1036
3	3601	1028
0	8278	1028

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval217.0ms (2.9%)

Compiler: Compiled 20470 to 2793 computations (86.4% saved)

prune164.0ms (2.2%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1242	8	1250
Fresh	2	2	4
Picked	3	2	5
Done	0	5	5
Total	1247	17	1264

Accuracy

100.0%

Counts

1264 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.0%	(/.f64 (/.f64 x (+.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1/9 binary64) x))
	75.6%	(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
	63.3%	(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
	63.3%	(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
	75.6%	(/.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓	63.3%	(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
✓	75.6%	(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
	75.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
	1.6%	(+.f64 (*.f64 x #s(literal 9/2 binary64)) #s(literal -27/4 binary64))
	63.3%	(*.f64 (/.f64 x #s(literal 1/3 binary64)) x)
✓	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	75.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓	63.3%	(.f64 (.f64 x x) #s(literal 3 binary64))
	63.3%	(.f64 x (/.f64 (.f64 x #s(literal -9 binary64)) #s(literal -3 binary64)))
✓	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓	63.3%	(.f64 x (.f64 x #s(literal 3 binary64)))
	3.1%	(*.f64 x #s(literal 9/2 binary64))

Compiler

Compiled 586 to 221 computations (62.3% saved)

regimes34.0ms (0.5%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	(.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)

regimes5.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.001806120491402e-10	14.719811443205586
14.0ms	-23950092341.379395	-2.0829890977466657e-16

Results

16.0ms

336×

valid

Compiler

Compiled 350 to 241 computations (31.1% saved)

Precisions

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

ival-mult: 7.0ms (77.1% of total)

ival-sub: 2.0ms (22% of total)

const: 1.0ms (11% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	52
1	43	52
2	55	52
3	61	52
4	65	52
5	66	52

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (18.8%)

Rules

3310×	`-lowering-.f32`
3310×	`-lowering-.f64`
2842×	`-lowering-.f32`
2842×	`-lowering-.f64`
2634×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1201
1	520	1072
2	1437	1036
3	3601	1028
0	8278	1028
0	147	1551
1	462	1331
2	1200	1323
3	3100	1323
0	8038	1323
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 149 to 87 computations (41.6% saved)

preprocess60.0ms (0.8%)

Compiler: Compiled 158 to 76 computations (51.9% saved)

analyze0.0ms (0%)

sample683.0ms (9.2%)

preprocess142.0ms (1.9%)

explain68.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify84.0ms (1.1%)

localize49.0ms (0.7%)

series7.0ms (0.1%)

rewrite279.0ms (3.7%)

simplify150.0ms (2%)

eval79.0ms (1.1%)

prune66.0ms (0.9%)

simplify205.0ms (2.7%)

localize262.0ms (3.5%)

series20.0ms (0.3%)

rewrite412.0ms (5.5%)

simplify204.0ms (2.7%)

eval148.0ms (2%)

prune127.0ms (1.7%)

simplify151.0ms (2%)

localize154.0ms (2.1%)

series4.0ms (0.1%)

rewrite304.0ms (4.1%)

simplify311.0ms (4.2%)

eval234.0ms (3.1%)

prune166.0ms (2.2%)

simplify382.0ms (5.1%)

localize164.0ms (2.2%)

series8.0ms (0.1%)

rewrite384.0ms (5.2%)

simplify249.0ms (3.3%)

eval217.0ms (2.9%)

prune164.0ms (2.2%)

regimes34.0ms (0.5%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch37.0ms (0.5%)

simplify10.0ms (0.1%)

soundness1.4s (18.8%)

preprocess60.0ms (0.8%)

end0.0ms (0%)

Profiling