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)

sample744.0ms (17.8%)

Results

498.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-div: 79.0ms (36.6% of total)

ival-mult: 66.0ms (30.6% of total)

ival-sub: 53.0ms (24.6% of total)

const: 15.0ms (6.9% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess18.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

40×	`associate-/l*`
38×	`associate-r`
36×	`distribute-lft-neg-in`
32×	`sub-neg`
30×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	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)
(* (- 3 (* x x)) -1/6)
(/ (- (* (neg x) (neg x)) 3) 6)
(* (- 3 (* x x)) -1/6)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
(+ 1/2 (* (* x x) -1/6))

Symmetry

(abs x)

explain67.0ms (1.6%)

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

37.0ms

512×

valid

Compiler

Compiled 48 to 28 computations (41.7% saved)

Precisions

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

ival-sub: 5.0ms (32.5% of total)

ival-div: 4.0ms (26% of total)

ival-mult: 4.0ms (26% of total)

const: 2.0ms (13% of total)

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

eval0.0ms (0%)

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

prune4.0ms (0.1%)

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)

localize39.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	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))
✓	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))

Rules

6×	`-lowering-.f32`
6×	`-lowering-.f64`
4×	`+-lowering-+.f64`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	9	18
2	10	18
0	10	17

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)

Results

20.0ms

256×

valid

Compiler

Compiled 20 to 11 computations (45% saved)

Precisions

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

ival-div: 4.0ms (49.2% of total)

ival-mult: 2.0ms (24.6% of total)

ival-add: 1.0ms (12.3% of total)

const: 1.0ms (12.3% of total)

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

series7.0ms (0.2%)

Counts

3 → 36

Calls

Call 1

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

Outputs
#<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)))))>

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (* x x) 6)
1.0ms	x	@	0	(/ (* x x) 6)
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	inf	(+ (/ (* x x) 6) -1/2)
0.0ms	x	@	0	(+ (/ (* x x) 6) -1/2)

rewrite487.0ms (11.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4264×	`accelerator-lowering-fma.f32`
4264×	`accelerator-lowering-fma.f64`
3684×	`/-lowering-/.f32`
3684×	`/-lowering-/.f64`
3454×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	36	15
2	256	15
3	3797	15
0	8663	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 218

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(neg.f64 (.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 6 binary64))))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.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 (exp.f64 (log.f64 (neg.f64 (*.f64 x x)))) (exp.f64 (log.f64 #s(literal -6 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 6 binary64) x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) x)))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 36 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(.f64 x (.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 (/.f64 x #s(literal 6 binary64)))))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(.f64 (/.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 x #s(literal -6 binary64)))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 x x)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
(*.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)))
(.f64 (pow.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.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 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)))
(*.f64 (exp.f64 (log.f64 (/.f64 x #s(literal 6 binary64)))) x)
(.f64 (exp.f64 (log.f64 (neg.f64 (.f64 x x)))) (exp.f64 (log.f64 #s(literal -1/6 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 1/6 binary64))) (.f64 x x))
(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 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 x)))
(.f64 x (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 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) (neg.f64 (.f64 x x)))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(+.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 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64))))) #s(literal -1 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 (*.f64 x x) #s(literal -6 binary64)) #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 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 x (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (pow.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (exp.f64 (log.f64 (/.f64 x #s(literal 6 binary64)))) #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 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))) #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 (.f64 x x) #s(literal -6 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 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (neg.f64 (*.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 (.f64 x x) #s(literal -6 binary64)) #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 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #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 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal -1/36 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 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
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simplify358.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

3380×	`-lowering-.f32`
3380×	`-lowering-.f64`
3108×	`accelerator-lowering-fma.f32`
3108×	`accelerator-lowering-fma.f64`
1528×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	170
1	27	170
2	58	170
3	135	170
4	369	170
5	708	170
6	1165	170
7	2175	170
8	3632	170
9	4724	170
10	5692	170
11	6839	170
12	7981	170
0	8009	161

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 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)))))

Outputs
(* 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))

eval55.0ms (1.3%)

Compiler: Compiled 5471 to 2797 computations (48.9% saved)

prune44.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	249	5	254
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	6	255

Accuracy

100.0%

Counts

255 → 6

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))
▶	99.9%	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
▶	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
▶	99.9%	(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
▶	48.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	52.3%	#s(literal -1/2 binary64)

Compiler

Compiled 76 to 58 computations (23.7% saved)

localize179.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
✓	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))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x 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 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
✓	accuracy	99.0%	(/.f64 #s(literal 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)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	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))

Rules

30×	`-lowering-.f32`
30×	`-lowering-.f64`
20×	`/-lowering-/.f32`
20×	`/-lowering-/.f64`
12×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	27	60
2	32	60
3	34	60
4	37	60
5	55	60
0	55	57

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

77.0ms

256×

valid

Compiler

Compiled 77 to 46 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 34.0ms (68.3% of total)

ival-mult: 7.0ms (14.1% of total)

ival-add: 6.0ms (12% of total)

const: 3.0ms (6% of total)

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

series15.0ms (0.3%)

Counts

11 → 132

Calls

Call 1

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

Outputs
#<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 -1/2>
#<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 (/ 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 (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 -1/2>
#<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 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 (/ 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 (* 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 -1/2>
#<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)))))>

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ x 6)
1.0ms	x	@	inf	(/ 6 x)
0.0ms	x	@	0	(/ 6 x)
0.0ms	x	@	0	(/ 6 (* x x))
0.0ms	x	@	inf	(/ 6 (* x x))

rewrite333.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3276×	`accelerator-lowering-fma.f32`
3276×	`accelerator-lowering-fma.f64`
2616×	`-lowering-.f32`
2616×	`-lowering-.f64`
1570×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	98	55
2	547	55
3	6253	55
0	8701	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 740

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(-.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 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x x) #s(literal -6 binary64))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.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 (-.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 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -6 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 6 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -6 binary64))
(/.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -6 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(.f64 x (.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 (/.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))
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(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x))) (/.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 x (.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 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 x #s(literal -1 binary64)) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) (.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (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 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x 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 1/36 binary64)) #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 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal -1/512 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -1/1728 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1/64 binary64)) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/1296 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x 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 1/36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/1296 binary64)) #s(literal -1/16 binary64)) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.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 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x 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 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.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 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) (+.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 -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.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 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) (+.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 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)) #s(literal 1 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 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (+.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -1/1728 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/1296 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/1296 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)))
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))) (+.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/1296 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x 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 1/36 binary64)) #s(literal -1/12 binary64)))))

simplify255.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

3402×	`-lowering-.f32`
3402×	`-lowering-.f64`
2710×	`accelerator-lowering-fma.f32`
2710×	`accelerator-lowering-fma.f64`
1532×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	630
1	32	630
2	62	630
3	135	630
4	372	630
5	712	630
6	1176	630
7	2196	630
8	3668	630
9	4754	630
10	5729	630
11	6905	630
0	8038	603

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 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))
-1/2
(- (* 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)))))
(/ 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))
(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))
-1/2
(- (* 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 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)
(/ 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))
(* 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))
-1/2
(- (* 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)))))

Outputs
(* 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))
-1/2
#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))
(/ 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))
(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))
-1/2
#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 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)
(/ 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))
(* 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))
-1/2
#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))

eval294.0ms (7%)

Compiler: Compiled 12978 to 7946 computations (38.8% saved)

prune71.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	904	4	908
Fresh	0	0	0
Picked	2	3	5
Done	1	0	1
Total	907	7	914

Accuracy

100.0%

Counts

914 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	48.7%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
▶	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
✓	99.9%	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
▶	48.7%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	48.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	52.3%	#s(literal -1/2 binary64)

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize160.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal 6 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 x x)
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	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 x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
✓	accuracy	99.0%	(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Rules

30×	`-lowering-.f32`
30×	`-lowering-.f64`
20×	`/-lowering-/.f32`
20×	`/-lowering-/.f64`
12×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	18	37
2	23	37
3	28	37
4	31	37
5	48	37
0	48	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ x 6) x)
(/ x 6)
x
6
(/ 1 (/ 6 (* x x)))
1
(/ 6 (* x x))
(* x x)
(/ x (/ 6 x))
(/ 6 x)
(/ (* x x) 6)

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

Results

92.0ms

256×

valid

Compiler

Compiled 50 to 26 computations (48% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 16.0ms (66.7% of total)

ival-mult: 6.0ms (25% of total)

const: 2.0ms (8.3% of total)

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

series8.0ms (0.2%)

Counts

8 → 96

Calls

Call 1

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

Outputs
#<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 (/ 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 (* 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 (* 1/6 (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))>

Calls

24 calls:

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

rewrite354.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2250×	`-lowering-.f32`
2250×	`-lowering-.f64`
2220×	`accelerator-lowering-fma.f32`
2220×	`accelerator-lowering-fma.f64`
1144×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	48	34
2	213	34
3	942	34
4	5882	34
0	8330	34

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1348

Calls

Call 1

Inputs
(* (/ x 6) x)
(/ x 6)
(/ 6 (* x x))
(/ 1 (/ 6 (* x x)))
(* x x)
(/ x (/ 6 x))
(/ 6 x)
(/ (* x x) 6)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(fma.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 0 binary64) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x x) #s(literal -6 binary64))
(/.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 (/.f64 #s(literal 6 binary64) x) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (/.f64 (pow.f64 #s(literal 6 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -6 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 6 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -6 binary64)))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -6 binary64)))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 6 binary64) x) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 6 binary64) x) x)) (/.f64 #s(literal 36 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 6 binary64) x) (.f64 x x))) (*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 6 binary64) x) (.f64 x x))) (*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1/6 binary64))) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/6 binary64))) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) x)
(/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x)
(/.f64 (.f64 (.f64 x x) (/.f64 x #s(literal 6 binary64))) x)
(/.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 6 binary64))) (.f64 x x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 (.f64 (/.f64 x #s(literal 6 binary64)) (.f64 x x)) x)
(/.f64 (.f64 (/.f64 x #s(literal 6 binary64)) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (/.f64 x (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/6 binary64)) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 6 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 #s(literal 6 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 6 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/6 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/6 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 6 binary64) x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(literal 6 binary64)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -6 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (/.f64 (pow.f64 #s(literal 6 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))))) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 6 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -6 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 6 binary64) #s(literal 1/2 binary64)) x) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(.f64 x (.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))))
(.f64 x (.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (.f64 x (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 x) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (.f64 x (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 6 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x #s(literal 6 binary64))))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))))
(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) x) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))
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(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 #s(literal 6 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 #s(literal -6 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 #s(literal -6 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal 6 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal -6 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 6 binary64) x)))

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	408
1	12	408
2	15	408
0	15	408

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(* 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)
(/ 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))
(* 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)
(* 1/6 (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))

Outputs
(* 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)
(/ 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))
(* 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)
(* 1/6 (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))

eval401.0ms (9.6%)

Compiler: Compiled 19201 to 12820 computations (33.2% saved)

prune170.0ms (4.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1542	0	1542
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	1542	7	1549

Accuracy

100.0%

Counts

1549 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	48.7%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
✓	99.9%	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
✓	48.7%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	48.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	52.3%	#s(literal -1/2 binary64)

Compiler

Compiled 108 to 71 computations (34.3% saved)

regimes10.0ms (0.2%)

Counts

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

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

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.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)

regimes6.0ms (0.1%)

Counts

6 → 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 x x) #s(literal 6 binary64))
(+.f64 (*.f64 (/.f64 x #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

2 calls:

4.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes7.0ms (0.2%)

Counts

5 → 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))
(/.f64 (*.f64 x x) #s(literal 6 binary64))

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

Calls

2 calls:

4.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	2	`x`
99.3%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes6.0ms (0.1%)

Counts

3 → 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)

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

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	2	`x`
99.3%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0.1%)

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
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)

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:

0.0ms

Results

Accuracy	Segments	Branch
52.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1870145103632902e-15	1666.7022593180584

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1870145103632902e-15	1666.7022593180584

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.1870145103632902e-15	1666.7022593180584

Results

8.0ms

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% of total)

ival-div: 1.0ms (38% of total)

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 52 to 33 computations (36.5% saved)

preprocess58.0ms (1.4%)

Remove: (abs x)
Compiler: Compiled 184 to 126 computations (31.5% saved)

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

analyze0.0ms (0%)

sample744.0ms (17.8%)

preprocess18.0ms (0.4%)

explain67.0ms (1.6%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize39.0ms (0.9%)

series7.0ms (0.2%)

rewrite487.0ms (11.6%)

simplify358.0ms (8.5%)

eval55.0ms (1.3%)

prune44.0ms (1%)

localize179.0ms (4.3%)

series15.0ms (0.3%)

rewrite333.0ms (7.9%)

simplify255.0ms (6.1%)

eval294.0ms (7%)

prune71.0ms (1.7%)

localize160.0ms (3.8%)

series8.0ms (0.2%)

rewrite354.0ms (8.5%)

simplify18.0ms (0.4%)

eval401.0ms (9.6%)

prune170.0ms (4.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.3%)

soundness1.0ms (0%)

preprocess58.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6

Iter	Nodes	Cost
0	11	21
1	33	21
2	71	21
3	168	21
4	294	21
5	372	21
6	398	21
7	406	21
0	6	7
1	13	7
2	19	7
3	21	7
0	21	6