Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

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 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-div: 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)

sample972.0ms (15.2%)

Results

772.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-div: 164.0ms (47.1% of total)

ival-mult: 121.0ms (34.8% of total)

ival-sub: 45.0ms (12.9% of total)

const: 15.0ms (4.3% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess32.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

282×	`fnmadd-define`
258×	`fmsub-define`
252×	`fnmsub-define`
168×	`fmm-def`
134×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	39	18
2	81	18
3	203	18
4	431	15
5	735	15
6	991	15
7	1043	15
0	6	6
1	16	6
2	22	6
3	26	6
4	28	6
0	28	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x x) 3) 6)

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

Call 2

Inputs
(/ (- (* x x) 3) 6)
(/ (- (* (neg x) (neg x)) 3) 6)
(neg (/ (- (* (neg x) (neg x)) 3) 6))

Outputs
(/ (- (* x x) 3) 6)
(fnmsub (square x) -1/6 1/2)
(/ (- (* (neg x) (neg x)) 3) 6)
(fnmsub (square x) -1/6 1/2)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
(fnmsub (square x) 1/6 -1/2)

Symmetry

(abs x)

explain68.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 6 binary64)`

Results

44.0ms

512×

valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (35.4% of total)

ival-mult: 4.0ms (28.3% of total)

ival-sub: 3.0ms (21.2% of total)

const: 1.0ms (7.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))

Rules

6×	`-lowering-.f32`
6×	`-lowering-.f64`
4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	10	15
2	12	15
3	13	15
0	13	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ (* x x) 6) -1/2)
(/ (* x x) 6)
(* x x)
x
6
-1/2

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

localize38.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal 6 binary64))

Results

30.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 7.0ms (60.6% of total)

ival-mult: 3.0ms (26% of total)

ival-add: 1.0ms (8.7% of total)

const: 1.0ms (8.7% of total)

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

series2.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (/ (* x x) 6) -1/2)
0.0ms	x	@	0	(+ (/ (* x x) 6) -1/2)
0.0ms	x	@	inf	(/ (* x x) 6)
0.0ms	x	@	0	(/ (* x x) 6)
0.0ms	x	@	inf	(* x x)

rewrite281.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3448×	`-lowering-.f32`
3448×	`-lowering-.f64`
2438×	`fma-lowering-fma.f32`
2438×	`fma-lowering-fma.f64`
1498×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	37	11
2	268	11
3	3993	11
0	8387	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs
(+ (/ (* x x) 6) -1/2)
(/ (* x x) 6)
(* x x)

Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)))) (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 1/8 binary64))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64)) #s(literal -1/512 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728 binary64)))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 10077696 binary64)) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
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(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 x (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)

simplify172.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1776×	`fmsub-define`
1672×	`fmm-def`
1496×	`fma-lowering-fma.f32`
1496×	`fma-lowering-fma.f64`
1412×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	161
1	30	126
2	64	126
3	163	126
4	446	126
5	828	126
6	1467	126
7	2833	126
8	5895	126
0	8040	126

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval52.0ms (0.8%)

Compiler: Compiled 3797 to 479 computations (87.4% saved)

prune43.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	7	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	7	197

Accuracy

100.0%

Counts

197 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.5%	(fma.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
	70.9%	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
▶	99.9%	(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
▶	99.9%	(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
▶	60.5%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)))
▶	51.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	49.7%	#s(literal -1/2 binary64)

Compiler

Compiled 208 to 122 computations (41.3% saved)

simplify164.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1990×	`fma-define`
1824×	`/-lowering-/.f32`
1824×	`/-lowering-/.f64`
1702×	`-lowering-.f32`
1702×	`-lowering-.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	24	105
1	53	102
2	111	98
3	232	97
4	496	96
5	894	96
6	1478	96
7	2385	94
8	4971	94
0	8215	94

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize156.0ms (2.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal -6 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 36 binary64) (*.f64 x x))
✓	accuracy	66.4%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Results

120.0ms

256×

valid

Compiler

Compiled 125 to 25 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 14.0ms (41.5% of total)

ival-mult: 7.0ms (20.8% of total)

ival-add: 6.0ms (17.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (11.9% of total)

ival-sub: 1.0ms (3% of total)

const: 1.0ms (3% of total)

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

series7.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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 -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))>
#<alt -1/2>
#<alt (- (* -1/6 (pow x 2)) 1/2)>
#<alt (- (* -1/6 (pow x 2)) 1/2)>
#<alt (- (* -1/6 (pow x 2)) 1/2)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (/ 36 (pow x 2))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>

Calls

42 calls:

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

rewrite468.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5884×	`-lowering-.f32`
5884×	`-lowering-.f64`
4218×	`/-lowering-/.f32`
4218×	`/-lowering-/.f64`
2112×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	79
1	154	64
2	1267	61
0	9823	61

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 585

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)))))) (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))) #s(literal 1/8 binary64))) (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 6 binary64)))
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x #s(literal -6 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 6 binary64))
(pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 6 binary64)))
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 (*.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -6 binary64))
(pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal -6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -6 binary64)) x)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64))))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/.f64 #s(literal 36 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 36 binary64) x)))
(/.f64 #s(literal -36 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 36 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 36 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 36 binary64) (.f64 x x)))
(.f64 #s(literal -36 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 36 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 36 binary64))
(*.f64 (/.f64 #s(literal 36 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 36 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x #s(literal -6 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (*.f64 x x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -36 binary64) (.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 36 binary64) (.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))
(/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))))
(/.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) (/.f64 #s(literal -6 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -36 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -6 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -6 binary64) (.f64 x x)) (/.f64 #s(literal -6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(/.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -36 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 36 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 #s(literal -6 binary64) (/.f64 #s(literal -6 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)) #s(literal -36 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -6 binary64) (.f64 x x)) #s(literal -6 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal 6 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal -6 binary64) (.f64 x x)) #s(literal 6 binary64)))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -6 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 36 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) x) (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 6 binary64))
(/.f64 (.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (*.f64 x (/.f64 x #s(literal -6 binary64)))) #s(literal -6 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x (/.f64 x #s(literal -6 binary64)))) #s(literal 6 binary64))
(/.f64 (.f64 (.f64 x x) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 6 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x x) #s(literal 6 binary64))) (/.f64 #s(literal -6 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (/.f64 x #s(literal -6 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -6 binary64) (.f64 x x)) (/.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 x (/.f64 (*.f64 x x) #s(literal 36 binary64))))
(.f64 x (.f64 (/.f64 x #s(literal -6 binary64)) (*.f64 x (/.f64 x #s(literal -6 binary64)))))
(.f64 x (.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))))
(.f64 (/.f64 x #s(literal 6 binary64)) (.f64 x (/.f64 (*.f64 x x) #s(literal 6 binary64))))
(.f64 (.f64 x x) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
(.f64 (.f64 x x) (*.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 6 binary64))))
(.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x (/.f64 x #s(literal -6 binary64)))))
(.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) (*.f64 x (/.f64 x #s(literal -6 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -36 binary64) (*.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x (/.f64 (*.f64 x x) #s(literal 36 binary64))) x)
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))
(.f64 (/.f64 x #s(literal 36 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
(.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 6 binary64))) (*.f64 x x))
(*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(.f64 (.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) x) x)
(.f64 (.f64 (*.f64 x (/.f64 x #s(literal -6 binary64))) x) (/.f64 x #s(literal -6 binary64)))
(.f64 (.f64 (.f64 x (/.f64 x #s(literal -6 binary64))) (.f64 x x)) #s(literal -1/6 binary64))
(.f64 (.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) x) (/.f64 x #s(literal 6 binary64)))
(.f64 (.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 x #s(literal 6 binary64))) x)
(.f64 (/.f64 (.f64 x x) #s(literal -36 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 36 binary64) x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 6 binary64))))

simplify188.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2596×	`fma-lowering-fma.f32`
2596×	`fma-lowering-fma.f64`
1616×	`fmm-def`
1504×	`fma-define`
1494×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	878
1	149	734
2	404	732
3	1140	732
4	2585	732
5	6087	732
0	8111	732

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (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)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* -2/3 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
-1/2
(- (* -1/6 (pow x 2)) 1/2)
(- (* -1/6 (pow x 2)) 1/2)
(- (* -1/6 (pow x 2)) 1/2)
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(/ 36 (pow x 2))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 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)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -2/3 binary64))))
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal 2/9 binary64))))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/9 binary64) (.f64 (.f64 x x) #s(literal -2/27 binary64))))))))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 18 binary64) x) x)) (*.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 18 binary64) x) x)) (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 18 binary64) x) x)) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 18 binary64) x) x)) (*.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 18 binary64) x) x)) (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 18 binary64) x) x)) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* -1/6 (pow x 2)) 1/2)
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(- (* -1/6 (pow x 2)) 1/2)
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(- (* -1/6 (pow x 2)) 1/2)
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(/ 36 (pow x 2))
(/.f64 #s(literal 36 binary64) (*.f64 x x))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))
(* 1/36 (pow x 4))
(.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x))))

eval98.0ms (1.5%)

Compiler: Compiled 21999 to 1922 computations (91.3% saved)

prune109.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	809	4	813
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	812	8	820

Accuracy

100.0%

Counts

820 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
▶	51.2%	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	51.2%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	99.9%	(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
▶	51.2%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
▶	60.5%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)))
✓	51.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	49.7%	#s(literal -1/2 binary64)

Compiler

Compiled 156 to 96 computations (38.5% saved)

simplify144.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal -6 binary64))
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	128	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	cost-diff	0	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
✓	cost-diff	128	(/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
✓	cost-diff	6848	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))

Rules

2080×	`fnmadd-define`
1710×	`fma-lowering-fma.f32`
1710×	`fma-lowering-fma.f64`
1686×	`fma-define`
1406×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	164
1	79	164
2	165	164
3	399	149
4	1065	145
5	2928	136
6	5791	136
0	8025	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* x x) (/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))) (neg (/ 1/4 (+ (/ x (/ 6 x)) 1/2))))
(* x x)
x
(/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))
(/ (* x x) 36)
36
(+ (/ x (/ 6 x)) 1/2)
(/ x (/ 6 x))
(/ 6 x)
6
1/2
(neg (/ 1/4 (+ (/ x (/ 6 x)) 1/2)))
(/ 1/4 (+ (/ x (/ 6 x)) 1/2))
1/4
(* (/ x 6) x)
(/ x 6)
x
6
(/ x (/ 6 x))
x
(/ 6 x)
6
(/ (/ x 6) (/ 1 x))
(/ x 6)
x
6
(/ 1 x)
1
(* (/ -1 (+ (/ (* x x) -6) -1/2)) (+ (/ (* (* x x) (* x x)) 36) -1/4))
(/ -1 (+ (/ (* x x) -6) -1/2))
-1
(+ (/ (* x x) -6) -1/2)
(/ (* x x) -6)
(* x x)
x
-6
-1/2
(+ (/ (* (* x x) (* x x)) 36) -1/4)
(/ (* (* x x) (* x x)) 36)
(* (* x x) (* x x))
36
-1/4

Outputs
(+ (* (* x x) (/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))) (neg (/ 1/4 (+ (/ x (/ 6 x)) 1/2))))
(/.f64 (+.f64 (.f64 x (.f64 x (/.f64 (.f64 x x) #s(literal 36 binary64)))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(* x x)
(*.f64 x x)
x
(/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))
(/.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 #s(literal 6 binary64) x)) #s(literal 18 binary64)))
(/ (* x x) 36)
(/.f64 (*.f64 x x) #s(literal 36 binary64))
36
#s(literal 36 binary64)
(+ (/ x (/ 6 x)) 1/2)
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/ x (/ 6 x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
1/2
#s(literal 1/2 binary64)
(neg (/ 1/4 (+ (/ x (/ 6 x)) 1/2)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(/ 1/4 (+ (/ x (/ 6 x)) 1/2))
(/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
1/4
#s(literal 1/4 binary64)
(* (/ x 6) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/ x 6)
(/.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(/ x (/ 6 x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
x
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
(/ (/ x 6) (/ 1 x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/ x 6)
(/.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* (/ -1 (+ (/ (* x x) -6) -1/2)) (+ (/ (* (* x x) (* x x)) 36) -1/4))
(/.f64 (+.f64 (.f64 x (.f64 x (/.f64 (.f64 x x) #s(literal 36 binary64)))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/ -1 (+ (/ (* x x) -6) -1/2))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(+ (/ (* x x) -6) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(/ (* x x) -6)
(/.f64 (*.f64 x x) #s(literal -6 binary64))
(* x x)
(*.f64 x x)
x
-6
#s(literal -6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (/ (* (* x x) (* x x)) 36) -1/4)
(+.f64 (.f64 x (.f64 x (/.f64 (*.f64 x x) #s(literal 36 binary64)))) #s(literal -1/4 binary64))
(/ (* (* x x) (* x x)) 36)
(.f64 x (.f64 x (/.f64 (*.f64 x x) #s(literal 36 binary64))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
36
#s(literal 36 binary64)
-1/4
#s(literal -1/4 binary64)

localize191.0ms (3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal -6 binary64))
✓	accuracy	66.4%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal 36 binary64))
✓	accuracy	71.8%	(/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))

Results

127.0ms

256×

valid

Compiler

Compiled 203 to 31 computations (84.7% saved)

Precisions

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

ival-div: 23.0ms (44.9% of total)

ival-mult: 16.0ms (31.2% of total)

ival-add: 5.0ms (9.8% of total)

compiled-spec: 4.0ms (7.8% of total)

const: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

series7.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))>
#<alt (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))>
#<alt 1/6>
#<alt (- 1/6 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))>
#<alt 1/6>
#<alt (- 1/6 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)>
#<alt (/ -3/2 (pow x 2))>
#<alt (/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))>
#<alt (/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))>
#<alt (/ -3/2 (pow x 2))>
#<alt (/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))>
#<alt (/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))>
#<alt -1/2>
#<alt (- (* -1/6 (pow x 2)) 1/2)>
#<alt (- (* -1/6 (pow x 2)) 1/2)>
#<alt (- (* -1/6 (pow x 2)) 1/2)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

48 calls:

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

rewrite340.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2782×	`/-lowering-/.f32`
2782×	`/-lowering-/.f64`
2336×	`fma-lowering-fma.f32`
2336×	`fma-lowering-fma.f64`
2266×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	108
1	200	74
2	1815	71
0	8373	71

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 800

Calls

Call 1

Inputs
(+ (* (* x x) (/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))) (neg (/ 1/4 (+ (/ x (/ 6 x)) 1/2))))
(/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))
(neg (/ 1/4 (+ (/ x (/ 6 x)) 1/2)))
(* x x)
(* (/ x 6) x)
(/ x 6)
(/ x (/ 6 x))
(/ 6 x)
(/ (/ x 6) (/ 1 x))
(/ 1 x)
(* (/ -1 (+ (/ (* x x) -6) -1/2)) (+ (/ (* (* x x) (* x x)) 36) -1/4))
(/ -1 (+ (/ (* x x) -6) -1/2))
(+ (/ (* x x) -6) -1/2)
(/ (* x x) -6)
(/ (* x x) 36)
(* (* x x) (* x x))

Outputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
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(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 36 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/36 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 36 binary64)) x)
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) x)

simplify232.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2292×	`fma-lowering-fma.f32`
2292×	`fma-lowering-fma.f64`
1872×	`sum3-define`
1832×	`sum4-define`
1788×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1095
1	316	916
2	890	906
3	2441	906
4	5783	906
0	8266	906

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(/ -3/2 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ -3/2 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (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)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* -2/3 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
-1/2
(- (* -1/6 (pow x 2)) 1/2)
(- (* -1/6 (pow x 2)) 1/2)
(- (* -1/6 (pow x 2)) 1/2)
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/18 (pow x 2))
(.f64 x (.f64 x #s(literal 1/18 binary64)))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x #s(literal -1/54 binary64)))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/54 binary64) (.f64 (.f64 x x) #s(literal 1/162 binary64))))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/54 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/162 binary64) (.f64 (.f64 x x) #s(literal -1/486 binary64)))))))))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -9/2 binary64) (pow.f64 x #s(literal 6 binary64))))))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -9/2 binary64) (pow.f64 x #s(literal 6 binary64))))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/18 binary64)))) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/18 binary64) (.f64 (.f64 x x) #s(literal 1/54 binary64))))))) #s(literal -1/2 binary64))
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 9/2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -27/2 binary64) (.f64 x (.f64 x x))) x))) (.f64 x x))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 #s(literal -27/2 binary64) (.f64 x (.f64 x x))) x)) (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x x))
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 9/2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -27/2 binary64) (.f64 x (.f64 x x))) x))) (.f64 x x))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 #s(literal -27/2 binary64) (.f64 x (.f64 x x))) x)) (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 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)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64)))
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) #s(literal 2/9 binary64)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/9 binary64) (.f64 (.f64 x x) #s(literal -2/27 binary64))))))))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) x) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 x x))) x) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -18 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* -1/6 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(- (* -1/6 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(- (* -1/6 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval155.0ms (2.4%)

Compiler: Compiled 42514 to 2127 computations (95% saved)

prune91.0ms (1.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1301	2	1303
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	1303	8	1311

Accuracy

100.0%

Counts

1311 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	51.2%	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	51.2%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	99.9%	(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
✓	51.2%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
▶	12.7%	(.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)))
✓	51.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	49.7%	#s(literal -1/2 binary64)

Compiler

Compiled 73 to 48 computations (34.2% saved)

simplify208.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal 36 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
✓	cost-diff	6400	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓	cost-diff	384	(.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)))

Rules

3184×	`-lowering-.f32`
3184×	`-lowering-.f64`
3024×	`/-lowering-/.f32`
3024×	`/-lowering-/.f64`
2374×	`associate-/l/`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	51	86
2	130	85
3	320	82
4	741	78
5	1265	76
6	1954	75
7	2850	75
8	3993	75
9	4383	75
10	5011	75
11	5897	75
12	7814	75
0	8049	75

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (/ 6 (* x x)) (+ (/ (* (* x x) (* x x)) 36) -1/4))
(+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/ 6 (* x x))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
6
#s(literal 6 binary64)
(* x x)
(*.f64 x x)
x
(+ (/ (* (* x x) (* x x)) 36) -1/4)
(+.f64 (.f64 x (/.f64 (.f64 x (*.f64 x x)) #s(literal 36 binary64))) #s(literal -1/4 binary64))
(/ (* (* x x) (* x x)) 36)
(.f64 x (/.f64 (.f64 x (*.f64 x x)) #s(literal 36 binary64)))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
36
#s(literal 36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* (* x x) (/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))) -1/2)
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x)))) #s(literal -1/2 binary64))
(* x x)
(*.f64 x x)
x
(/ (/ (* x x) 36) (+ (/ x (/ 6 x)) 1/2))
(/.f64 (.f64 x x) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
(/ (* x x) 36)
(/.f64 (*.f64 x x) #s(literal 36 binary64))
36
#s(literal 36 binary64)
(+ (/ x (/ 6 x)) 1/2)
(+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/ x (/ 6 x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)

localize112.0ms (1.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal 36 binary64))
✓	accuracy	71.8%	(/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	66.4%	(.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)))

Results

89.0ms

256×

valid

Compiler

Compiled 117 to 19 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 15.0ms (48% of total)

ival-mult: 8.0ms (25.6% of total)

ival-add: 4.0ms (12.8% of total)

compiled-spec: 3.0ms (9.6% of total)

const: 1.0ms (3.2% of total)

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

series3.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

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

Outputs
#<alt (/ -3/2 (pow x 2))>
#<alt (/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))>
#<alt (/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))>
#<alt (/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (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 -1/4>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt -1/2>
#<alt (- (* 1/18 (pow x 4)) 1/2)>
#<alt (- (* (pow x 4) (+ 1/18 (* -1/54 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54)))) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 9/2 (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 9/2 (/ 1 (pow x 6))))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))>
#<alt (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))>
#<alt 1/6>
#<alt (- 1/6 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))>
#<alt 1/6>
#<alt (- 1/6 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/36 (pow x 4))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>

Calls

30 calls:

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

rewrite397.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4932×	`-lowering-.f32`
4932×	`-lowering-.f64`
4588×	`/-lowering-/.f32`
4588×	`/-lowering-/.f64`
1648×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	69
1	136	64
2	1240	61
0	8455	61

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 904

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -3/2 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 (.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (/.f64 #s(literal -3/2 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))))
(fma.f64 #s(literal 6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (/.f64 #s(literal -3/2 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (/.f64 #s(literal -3/2 binary64) (.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 #s(literal -3/2 binary64) (.f64 x x)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))
(fma.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))
(fma.f64 (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (.f64 x x)) (/.f64 (.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal -3/2 binary64)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))))))
(/.f64 (.f64 #s(literal 6 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))))
(/.f64 (.f64 #s(literal 6 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 6 binary64) x) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64))) (.f64 x (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 6 binary64) x) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64))) (.f64 x (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal -6 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))))
(/.f64 (.f64 #s(literal -6 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64))) (.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64))) (.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) #s(literal 6 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))) (*.f64 x x)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 6 binary64) x)) (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))) x))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) #s(literal -6 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) #s(literal 6 binary64)) (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 6 binary64) x)) (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) x))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) #s(literal -6 binary64)) (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64))) (neg.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 6 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal -3/2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -27/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (-.f64 (.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (/.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -3/2 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (.f64 (/.f64 #s(literal -3/2 binary64) (.f64 x x)) (/.f64 #s(literal -3/2 binary64) (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 6 binary64) x)) x)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal 6 binary64) x) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))) x)
(/.f64 (.f64 #s(literal -6 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 #s(literal 6 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) #s(literal -3/2 binary64)) x) x)
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) #s(literal -1/4 binary64))) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) #s(literal 3/2 binary64))) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) #s(literal -3/2 binary64))) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) (*.f64 x x)))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 6 binary64) x)))) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) x))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) (.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/4 binary64)))) (.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x))) x))
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(.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 6 binary64))))
(.f64 (pow.f64 (/.f64 x #s(literal -6 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)))
(.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) x)) (/.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/36 binary64))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)) #s(literal 6 binary64)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 6 binary64)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 6 binary64)))
(.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 6 binary64)))
(.f64 (/.f64 (/.f64 x #s(literal -6 binary64)) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (/.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(.f64 (/.f64 (/.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(.f64 (/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x #s(literal -6 binary64)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (/.f64 x #s(literal 6 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/6 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))

simplify243.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2884×	`-lowering-.f32`
2884×	`-lowering-.f64`
1710×	`fma-lowering-fma.f32`
1710×	`fma-lowering-fma.f64`
1538×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	758
1	215	655
2	608	651
3	1661	626
4	4740	626
0	8101	626

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(/ -3/2 (pow x 2))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (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)
-1/4
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
-1/2
(- (* 1/18 (pow x 4)) 1/2)
(- (* (pow x 4) (+ 1/18 (* -1/54 (pow x 2)))) 1/2)
(- (* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54)))) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 9/2 (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 9/2 (/ 1 (pow x 6))))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/36 (pow x 4))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))

Outputs
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(/ (- (* 1/6 (pow x 4)) 3/2) (pow x 2))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(* (pow x 2) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 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)
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow x 4)) 1/4)
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/18 (pow x 4)) 1/2)
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/18 binary64))) #s(literal -1/2 binary64))
(- (* (pow x 4) (+ 1/18 (* -1/54 (pow x 2)))) 1/2)
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x #s(literal -1/54 binary64))))) #s(literal -1/2 binary64))
(- (* (pow x 4) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54)))) 1/2)
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/54 binary64) (.f64 (.f64 x x) #s(literal 1/162 binary64))))))) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (/ 1 (pow x 2))))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 9/2 (/ 1 (pow x 6))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (/ 1 (pow x 2))))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x))))
(* (pow x 2) (- (+ 1/6 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 9/2 (/ 1 (pow x 6))))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(* 1/18 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/18 binary64))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x #s(literal -1/54 binary64))))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/54 binary64) (.f64 (.f64 x x) #s(literal 1/162 binary64)))))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/54 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/162 binary64) (.f64 (.f64 x x) #s(literal -1/486 binary64)))))))))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -9/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -9/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/36 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))

eval138.0ms (2.2%)

Compiler: Compiled 32373 to 3471 computations (89.3% saved)

prune117.0ms (1.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1107	1	1108
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	1108	8	1116

Accuracy

100.0%

Counts

1116 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	51.2%	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	51.2%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	99.9%	(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
✓	51.2%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
	11.1%	(.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))))
✓	51.2%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	49.7%	#s(literal -1/2 binary64)

Compiler

Compiled 271 to 101 computations (62.7% saved)

regimes20.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.2%	2	`x`
99.2%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Outputs
#s(literal -1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.2%	2	`x`
99.2%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
49.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.03600533514045933	15878131744647834.0

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.03600533514045933	15878131744647834.0

Results

7.0ms

160×

valid

Compiler

Compiled 92 to 79 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (38.6% of total)

ival-div: 1.0ms (38.6% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	18	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal -1/2 binary64)

Outputs
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(literal -1/2 binary64) (.f64 x (/.f64 x #s(literal 6 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)

soundness1.0s (16.3%)

Rules

5884×	`-lowering-.f32`
5884×	`-lowering-.f64`
4218×	`/-lowering-/.f32`
4218×	`/-lowering-/.f64`
3448×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	16	6
2	22	6
3	26	6
4	28	6
0	28	6
0	6	12
1	37	11
2	268	11
3	3993	11
0	8387	11
0	24	79
1	154	64
2	1267	61
0	9823	61
0	13	161
1	30	126
2	64	126
3	163	126
4	446	126
5	828	126
6	1467	126
7	2833	126
8	5895	126
0	8040	126

Stop Event

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

Compiler

Compiled 113 to 75 computations (33.6% saved)

preprocess53.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 114 to 66 computations (42.1% saved)

analyze0.0ms (0%)

sample972.0ms (15.2%)

preprocess32.0ms (0.5%)

explain68.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize38.0ms (0.6%)

series2.0ms (0%)

rewrite281.0ms (4.4%)

simplify172.0ms (2.7%)

eval52.0ms (0.8%)

prune43.0ms (0.7%)

simplify164.0ms (2.6%)

localize156.0ms (2.5%)

series7.0ms (0.1%)

rewrite468.0ms (7.3%)

simplify188.0ms (2.9%)

eval98.0ms (1.5%)

prune109.0ms (1.7%)

simplify144.0ms (2.3%)

localize191.0ms (3%)

series7.0ms (0.1%)

rewrite340.0ms (5.3%)

simplify232.0ms (3.6%)

eval155.0ms (2.4%)

prune91.0ms (1.4%)

simplify208.0ms (3.3%)

localize112.0ms (1.8%)

series3.0ms (0.1%)

rewrite397.0ms (6.2%)

simplify243.0ms (3.8%)

eval138.0ms (2.2%)

prune117.0ms (1.8%)

regimes20.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

simplify7.0ms (0.1%)

soundness1.0s (16.3%)

preprocess53.0ms (0.8%)

end0.0ms (0%)

Profiling