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)

sample628.0ms (12.8%)

Results

442.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 109.0ms (44.8% of total)

ival-div: 73.0ms (30% of total)

ival-sub: 43.0ms (17.7% of total)

const: 15.0ms (6.2% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess45.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain64.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

30.0ms

512×

valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-mult: 5.0ms (40.3% of total)

ival-div: 4.0ms (32.3% of total)

ival-sub: 3.0ms (24.2% of total)

const: 1.0ms (8.1% of total)

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
▶	99.6%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(-.f64 (*.f64 x x) #s(literal 3 binary64))
✓	cost-diff	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`fma-lowering-fma.f32`
6×	`fmsub-define`
6×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	21	30
2	26	30
3	28	30
0	28	30

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

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

localize298.0ms (6.1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))

Results

24.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (45.3% of total)

ival-add: 2.0ms (18.1% of total)

ival-mult: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9.1% of total)

const: 1.0ms (9.1% of total)

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

series3.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 -3>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (/ (* x x) 6) -1/2)
0.0ms	x	@	0	(+ (/ (* x x) 6) -1/2)
0.0ms	x	@	inf	(/ (* x x) 6)
0.0ms	x	@	-inf	(- (* x x) 3)
0.0ms	x	@	0	(/ (* x x) 6)

rewrite289.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2870×	`-lowering-.f32`
2870×	`-lowering-.f64`
2442×	`/-lowering-/.f32`
2442×	`/-lowering-/.f64`
1974×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	66	20
2	459	20
3	5724	20
0	8492	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 451

Calls

Call 1

Inputs
(+ (/ (* x x) 6) -1/2)
(/ (* x x) 6)
(* x x)
(/ (- (* x x) 3) 6)
(- (* x x) 3)

Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 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 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))) #s(literal 6 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (/.f64 #s(literal 27 binary64) (.f64 #s(literal 6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (/.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(-.f64 (/.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 (*.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 (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.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 #s(literal 1 binary64) (*.f64 x x)) #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 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 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 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal -1/12 binary64))))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/216 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -6 binary64))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal 9 binary64))) (+.f64 (.f64 x x) #s(literal 3 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (+.f64 (.f64 (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 9 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -3 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (.f64 (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (+.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 81 binary64)) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -3 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (+.f64 (.f64 x x) #s(literal -3 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3 binary64)))))

simplify143.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1806×	`sum3-define`
1626×	`times-frac`
1602×	`-lowering-.f32`
1602×	`-lowering-.f64`
1596×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	278
1	46	221
2	106	221
3	276	221
4	877	221
5	1808	221
6	3022	221
7	4765	221
0	8083	221

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-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)))))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

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

eval63.0ms (1.3%)

Compiler: Compiled 13594 to 850 computations (93.7% saved)

prune44.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	534	5	539
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	534	7	541

Accuracy

100.0%

Counts

541 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
▶	58.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	99.5%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
✓	99.6%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
▶	99.9%	(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
▶	58.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	40.6%	#s(literal -1/2 binary64)

Compiler

Compiled 80 to 60 computations (25% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
14×	`fma-lowering-fma.f32`
14×	`fma-define`
14×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	29	54
2	38	53
3	42	53
0	42	53

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
-1/2
(* 1/6 (* x x))
1/6
(* x x)
x
(/ (* x x) 6)
(* x x)
x
6
(/ 1/6 (/ 1 (+ (* x x) -3)))
1/6
(/ 1 (+ (* x x) -3))
1
(+ (* x x) -3)
(* x x)
x
-3

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

localize92.0ms (1.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -3 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Results

73.0ms

256×

valid

Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 7.0ms (35% of total)

ival-mult: 6.0ms (30% of total)

...c/correct-round.rkt:119:19: 4.0ms (20% of total)

ival-add: 3.0ms (15% of total)

const: 1.0ms (5% of total)

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

series3.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ x 6)
0.0ms	x	@	-inf	(/ x 6)
0.0ms	x	@	inf	(/ 1 (+ (* x x) -3))
0.0ms	x	@	inf	(/ x 6)
0.0ms	x	@	0	(/ 1 (+ (* x x) -3))

rewrite334.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2616×	`/-lowering-/.f32`
2616×	`/-lowering-/.f64`
1496×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	88	36
2	562	36
3	6916	36
0	8501	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 509

Calls

Call 1

Inputs
(+ (* (/ x 6) x) -1/2)
(* (/ x 6) x)
(/ x 6)
(* 1/6 (* x x))
(* x x)
(/ (* x x) 6)
(/ 1/6 (/ 1 (+ (* x x) -3)))
(/ 1 (+ (* x x) -3))
(+ (* x x) -3)

Outputs
(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))
(-.f64 (.f64 (.f64 x x) (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))
(neg.f64 (/.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 36 binary64)) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.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 36 binary64)) #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6 binary64)) #s(literal -3/2 binary64))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) #s(literal 1 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.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 36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.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 36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 10077696 binary64)) #s(literal -1/512 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 46656 binary64)) (-.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 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (.f64 (+.f64 (.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1296 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.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)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) (.f64 (+.f64 (.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6 binary64)) #s(literal -3/2 binary64)) (+.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 (.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 10077696 binary64)) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 46656 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/1728 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) #s(literal 1 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 1/4 binary64) (.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1296 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64))) (+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))))
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(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -27 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 3 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64))) (+.f64 (.f64 x x) #s(literal -3 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -27 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -27 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal -3 binary64)))))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal -3 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 27 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal -3 binary64))))))

simplify372.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

2644×	`fma-lowering-fma.f32`
2644×	`fma-lowering-fma.f64`
1972×	`fma-define`
1948×	`-lowering-.f32`
1948×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	578
1	129	471
2	294	471
3	676	471
4	1678	471
5	3105	471
6	4773	471
7	7071	471
0	8101	471

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (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)))))
-1/3
(- (* -1/9 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

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

eval191.0ms (3.9%)

Compiler: Compiled 13544 to 1165 computations (91.4% saved)

prune55.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	663	2	665
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	665	7	672

Accuracy

100.0%

Counts

672 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.8%	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	58.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	99.6%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
▶	58.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	58.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	40.6%	#s(literal -1/2 binary64)

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

22×	`/-lowering-/.f32`
22×	`/-lowering-/.f64`
18×	`-lowering-.f32`
18×	`-lowering-.f64`
8×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	17	21
2	24	21
3	35	21
4	37	21
0	37	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (0.6%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Results

21.0ms

256×

valid

Compiler

Compiled 28 to 8 computations (71.4% saved)

Precisions

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

ival-div: 5.0ms (63% of total)

ival-mult: 2.0ms (25.2% of total)

const: 1.0ms (12.6% of total)

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

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite243.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`-lowering-.f32`
1710×	`-lowering-.f64`
1230×	`+-lowering-+.f64`
1230×	`+-lowering-+.f32`
1016×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	40	13
2	191	13
3	919	13
4	4221	13
0	8377	13

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 469

Calls

Call 1

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

Outputs
(+.f64 #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 (log.f64 (.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal -1/2 binary64)))
(-.f64 #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 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 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 #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 x) (.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x 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 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/6 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 6 binary64) x) (.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) #s(literal 1/36 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 6 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 6 binary64) x) x)) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) 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) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.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 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) (.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (.f64 (/.f64 x #s(literal 6 binary64)) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 x #s(literal 6 binary64)))
(/.f64 (.f64 (/.f64 x #s(literal 6 binary64)) (.f64 x x)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 x #s(literal 6 binary64))) (.f64 x x))
(/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) x) (.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (.f64 (.f64 x x) (/.f64 x #s(literal 6 binary64))) x)
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x))) (/.f64 #s(literal 6 binary64) x)) (.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.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 #s(literal 1/6 binary64) (.f64 x 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 (/.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 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 x) #s(literal -6 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 x) #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x #s(literal 6 binary64))))
(.f64 (sqrt.f64 x) (.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 6 binary64) x)))
(.f64 (sqrt.f64 x) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6 binary64)))
(.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) 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))))
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(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) x)
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (sqrt.f64 x))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (log.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) x)
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 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 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	180
1	14	156
2	17	156
0	17	156

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

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

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

eval75.0ms (1.5%)

Compiler: Compiled 7059 to 871 computations (87.7% saved)

prune78.0ms (1.6%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	641	2	643
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	641	9	650

Accuracy

100.0%

Counts

650 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.8%	(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	58.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	99.6%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
▶	21.7%	(.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (*.f64 x x) #s(literal 1/36 binary64))) x)
✓	58.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
▶	2.0%	(.f64 (.f64 x x) #s(literal -1/6 binary64))
✓	58.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	40.6%	#s(literal -1/2 binary64)

Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify281.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))
✓	cost-diff	640	(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
✓	cost-diff	640	(.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (*.f64 x x) #s(literal 1/36 binary64))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/6 binary64))

Rules

6330×	`-lowering-.f32`
6330×	`-lowering-.f64`
3062×	`cube-prod`
2766×	`/-lowering-/.f32`
2766×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	30	43
2	101	32
3	374	32
4	874	32
5	1865	32
6	2123	32
7	2335	32
8	2652	32
9	3104	32
10	3684	32
11	6713	32
12	6996	32
13	7146	32
14	7225	32
15	7306	32
16	7393	32
0	8340	32

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x x) -1/6)
(* x x)
x
-1/6
(* (/ (/ (* x (* x x)) 216) (* (* x x) 1/36)) x)
(/ (/ (* x (* x x)) 216) (* (* x x) 1/36))
(/ (* x (* x x)) 216)
(* x (* x x))
x
(* x x)
216
(* (* x x) 1/36)
1/36

Outputs
(* (* x x) -1/6)
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* x x)
(*.f64 x x)
x
-1/6
#s(literal -1/6 binary64)
(* (/ (/ (* x (* x x)) 216) (* (* x x) 1/36)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/ (/ (* x (* x x)) 216) (* (* x x) 1/36))
(/.f64 x #s(literal 6 binary64))
(/ (* x (* x x)) 216)
(/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
216
#s(literal 216 binary64)
(* (* x x) 1/36)
(.f64 (.f64 x x) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)

localize51.0ms (1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))
✓	accuracy	99.8%	(.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (*.f64 x x) #s(literal 1/36 binary64))) x)
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/36 binary64))
✓	accuracy	36.5%	(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal -1/6 binary64))

Results

34.0ms

256×

valid

Compiler

Compiled 63 to 12 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (44.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (34.7% of total)

ival-div: 3.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (* (* x x) -1/6)>
#<alt (* x x)>
#<alt (* (/ (/ (* x (* x x)) 216) (* (* x x) 1/36)) x)>
#<alt (/ (/ (* x (* x x)) 216) (* (* x x) 1/36))>
#<alt (/ (* x (* x x)) 216)>
#<alt (* x (* x x))>
#<alt (* (* x x) 1/36)>

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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (* 1/216 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (/ (/ (* x (* x x)) 216) (* (* x x) 1/36)) x)
0.0ms	x	@	0	(/ (* x (* x x)) 216)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	-inf	(/ (* x (* x x)) 216)
0.0ms	x	@	inf	(* (* x x) 1/36)

rewrite241.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3968×	`/-lowering-/.f32`
3968×	`/-lowering-/.f64`
3738×	`-lowering-.f32`
3738×	`-lowering-.f64`
1420×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	49	36
2	339	25
3	3198	25
0	8622	25

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 725

Calls

Call 1

Inputs
(* (* x x) -1/6)
(* x x)
(* (/ (/ (* x (* x x)) 216) (* (* x x) 1/36)) x)
(/ (/ (* x (* x x)) 216) (* (* x x) 1/36))
(/ (* x (* x x)) 216)
(* x (* x x))
(* (* x x) 1/36)

Outputs
(.f64 x (.f64 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 (.f64 x #s(literal -1/6 binary64)) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x 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 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x))) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (log.f64 x) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x x)) x)
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(.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/216 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) #s(literal -216 binary64))) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal -216 binary64) x) #s(literal -1 binary64)) #s(literal -36 binary64))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (/.f64 (.f64 x x) #s(literal -216 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 216 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal 216 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64)))
(neg.f64 (.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal -216 binary64)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 216 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 216 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -216 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/216 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -1/216 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -216 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (/.f64 (.f64 x (*.f64 x x)) #s(literal -216 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 216 binary64) x)))
(/.f64 #s(literal -1/216 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 216 binary64) (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/216 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) (/.f64 x #s(literal -1/216 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (/.f64 x #s(literal 1/216 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))) (neg.f64 (/.f64 x #s(literal -1/216 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64))))))
(pow.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 216 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(*.f64 x (/.f64 x (/.f64 #s(literal 216 binary64) x)))
(.f64 (.f64 x x) (/.f64 x #s(literal 216 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/216 binary64))
(.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x x))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal -216 binary64)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) #s(literal -1/216 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x x))))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (/.f64 #s(literal 216 binary64) x)) x)
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal -216 binary64)))
(.f64 (.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 x #s(literal -216 binary64)))
(.f64 (/.f64 x #s(literal 216 binary64)) (.f64 x x))
(.f64 #s(literal -1/216 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 216 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x x) #s(literal -216 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/216 binary64) x))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/216 binary64) x))
(.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 216 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 x (/.f64 #s(literal 216 binary64) x)))
(.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1/216 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) x)
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (.f64 x x) x)
(.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x x))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 x (*.f64 x x)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 36 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)))
(/.f64 (*.f64 x x) #s(literal 36 binary64))
(/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 36 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -36 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -36 binary64))
(/.f64 #s(literal -1/36 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (/.f64 (.f64 x x) #s(literal 36 binary64))) (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(.f64 x (neg.f64 (.f64 x #s(literal -1/36 binary64))))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 #s(literal 1/36 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 36 binary64)))
(.f64 (.f64 x #s(literal 1/36 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/36 binary64))
(.f64 #s(literal -1/36 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -1/36 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1/36 binary64))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal 1/36 binary64)))

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

66×	`-lowering-.f32`
66×	`-lowering-.f64`
26×	`*-commutative`
14×	`associate-l`
12×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	22	300
2	43	300
3	53	300
0	53	300

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

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)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(* 1/216 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))

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)
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(* 1/216 (pow x 3))
(.f64 #s(literal 1/216 binary64) (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))

eval142.0ms (2.9%)

Compiler: Compiled 14289 to 2325 computations (83.7% saved)

prune106.0ms (2.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	922	1	923
Fresh	0	0	0
Picked	1	1	2
Done	1	6	7
Total	924	8	932

Accuracy

100.0%

Counts

932 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
	58.4%	(/.f64 (*.f64 (/.f64 x #s(literal 1/36 binary64)) x) #s(literal 216 binary64))
✓	58.5%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	99.6%	(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
✓	58.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	2.0%	(.f64 (.f64 x x) #s(literal -1/6 binary64))
✓	58.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	40.6%	#s(literal -1/2 binary64)

Compiler

Compiled 131 to 69 computations (47.3% saved)

regimes17.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 (/.f64 x #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 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 x #s(literal 1/36 binary64)) x) #s(literal 216 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
(.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (*.f64 x x) #s(literal 1/36 binary64))) x)

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

Calls

4 calls:

6.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms	(-.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)

regimes5.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`x`
97.7%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (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 x) #s(literal -1/6 binary64))

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
97.3%	2	`x`
97.3%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
40.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1132562997855335	1116.7563141442129

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1132562997855335	1116.7563141442129

Results

5.0ms

128×

valid

Compiler

Compiled 76 to 65 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (52.7% of total)

ival-div: 1.0ms (52.7% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	18	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal -1/2 binary64)

Outputs
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))
(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1/2 binary64) (.f64 x (/.f64 x #s(literal 6 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)

soundness915.0ms (18.6%)

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2870×	`-lowering-.f32`
2870×	`-lowering-.f64`
2616×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	278
1	46	221
2	106	221
3	276	221
4	877	221
5	1808	221
6	3022	221
7	4765	221
0	8083	221
0	9	22
1	66	20
2	459	20
3	5724	20
0	8492	20
0	6	6
1	16	6
2	22	6
3	26	6
4	28	6
0	28	6
0	15	38
1	88	36
2	562	36
3	6916	36
0	8501	36

Stop Event

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

Compiler

Compiled 113 to 75 computations (33.6% saved)

preprocess31.0ms (0.6%)

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

analyze0.0ms (0%)

sample628.0ms (12.8%)

preprocess45.0ms (0.9%)

explain64.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

simplify5.0ms (0.1%)

localize298.0ms (6.1%)

series3.0ms (0.1%)

rewrite289.0ms (5.9%)

simplify143.0ms (2.9%)

eval63.0ms (1.3%)

prune44.0ms (0.9%)

simplify8.0ms (0.2%)

localize92.0ms (1.9%)

series3.0ms (0.1%)

rewrite334.0ms (6.8%)

simplify372.0ms (7.6%)

eval191.0ms (3.9%)

prune55.0ms (1.1%)

simplify5.0ms (0.1%)

localize30.0ms (0.6%)

series1.0ms (0%)

rewrite243.0ms (4.9%)

simplify11.0ms (0.2%)

eval75.0ms (1.5%)

prune78.0ms (1.6%)

simplify281.0ms (5.7%)

localize51.0ms (1%)

series4.0ms (0.1%)

rewrite241.0ms (4.9%)

simplify15.0ms (0.3%)

eval142.0ms (2.9%)

prune106.0ms (2.2%)

regimes17.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.2%)

simplify7.0ms (0.1%)

soundness915.0ms (18.6%)

preprocess31.0ms (0.6%)

end0.0ms (0%)

Profiling