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)

sample585.0ms (13.2%)

Results

410.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 91.0ms (40% of total)

ival-div: 63.0ms (27.7% of total)

ival-sub: 55.0ms (24.2% of total)

const: 16.0ms (7% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess30.0ms (0.7%)

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	37	18
2	79	18
3	200	18
4	428	18
5	729	18
6	985	18
7	1037	18
0	6	6
1	15	6
2	21	6
3	25	6
4	27	6
0	27	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 x (/.f64 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 x (* x -1/6) 1/2)
(/ (- (* (neg x) (neg x)) 3) 6)
(fnmsub x (* x -1/6) 1/2)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
(fnmsub x (* x 1/6) -1/2)

Symmetry

(abs x)

explain57.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

33.0ms

512×

valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (49.7% of total)

ival-div: 4.0ms (24.8% of total)

ival-sub: 3.0ms (18.6% of total)

const: 1.0ms (6.2% of total)

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

eval7.0ms (0.2%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
▶	99.9%	(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify4.0ms (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 #s(literal 6 binary64))
✓	cost-diff	(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓	cost-diff	(+.f64 (*.f64 x (/.f64 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	10	33
1	23	33
2	28	33
0	28	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize40.0ms (0.9%)

Localize:

Found 6 expressions of interest:

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

Results

26.0ms

256×

valid

Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions

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

ival-div: 5.0ms (40% of total)

ival-mult: 4.0ms (32% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 1.0ms (8% of total)

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

series4.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite316.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4008×	`-lowering-.f32`
4008×	`-lowering-.f64`
1940×	`/-lowering-/.f32`
1940×	`/-lowering-/.f64`
1716×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	68	27
2	417	27
3	4279	27
0	8584	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 537

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 36 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 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 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 36 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 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))) #s(literal 6 binary64)) (/.f64 (/.f64 #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)))))) #s(literal 6 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x 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 (.f64 x x) (.f64 x x))) (.f64 #s(literal 6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (/.f64 #s(literal 27 binary64) (.f64 #s(literal 6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (.f64 x x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x)))))
(-.f64 (/.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 (.f64 x x) #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) (/.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.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 (.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 #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 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #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) (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 x x) #s(literal 36 binary64)) (/.f64 (.f64 x x) (+.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 #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 6 binary64))) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 36 binary64)) (/.f64 x (+.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 #s(literal 1 binary64)) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64))) (+.f64 (/.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 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) #s(literal 1/8 binary64))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))))
(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 (.f64 x x) #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))))
(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 0 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 216 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 36 binary64)) #s(literal -1/4 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(/.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 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -81 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 (neg.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))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 27 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 9 binary64))) (+.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 9 binary64))) (neg.f64 (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #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)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (+.f64 (.f64 (/.f64 #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)))))) (/.f64 #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))))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))) (/.f64 #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))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x 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 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -3 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (.f64 (/.f64 #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)))))) (/.f64 #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)))))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))) (/.f64 #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))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (.f64 x x))) #s(literal -27 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #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)) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x)))) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 27 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 27 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x 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 x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 81 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -81 binary64)) (/.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)))
(pow.f64 (+.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.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) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (*.f64 x #s(literal 3 binary64)))))))
(.f64 (+.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) (.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 (.f64 x 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 (.f64 x x) (.f64 x x)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x 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 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 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 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))) (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 (/.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 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -9 binary64))) #s(literal -1 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 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 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 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #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 (.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 (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 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (*.f64 x #s(literal 3 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 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.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 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 81 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x)))) #s(literal -19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 27 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 27 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))

simplify147.0ms (3.3%)

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	20	314
1	48	305
2	105	305
3	269	305
4	871	305
5	1797	305
6	3014	305
7	4763	305
0	8080	305

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval75.0ms (1.7%)

Compiler: Compiled 16173 to 1023 computations (93.7% saved)

prune46.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	604	5	609
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	605	6	611

Accuracy

100.0%

Counts

611 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
▶	46.4%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	99.9%	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
▶	46.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	54.1%	#s(literal -1/2 binary64)

Compiler

Compiled 88 to 58 computations (34.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	(+.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -9 binary64))
✓	cost-diff	(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	(/.f64 #s(literal 6 binary64) x)
✓	cost-diff	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	cost-diff	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
18×	`fma-lowering-fma.f32`
18×	`fma-define`
18×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	89
1	34	80
2	50	76
3	56	76
4	58	76
0	58	76

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
(/ (+ (* (* x x) (* x x)) -9) (+ 18 (* 6 (* x x))))
(+ (* (* x x) (* x x)) -9)
(* (* x x) (* x x))
(* x x)
x
-9
(+ 18 (* 6 (* x x)))
18
(* 6 (* x x))
6

Outputs
(+ (/ x (/ 6 x)) -1/2)
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/ x (/ 6 x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
x
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
-1/2
#s(literal -1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(* 1/6 (* x x))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
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)
(/ (+ (* (* x x) (* x x)) -9) (+ 18 (* 6 (* x x))))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (+.f64 #s(literal 18 binary64) (.f64 x (*.f64 x #s(literal 6 binary64)))))
(+ (* (* x x) (* x x)) -9)
(+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(+ 18 (* 6 (* x x)))
(+.f64 #s(literal 18 binary64) (.f64 x (.f64 x #s(literal 6 binary64))))
18
#s(literal 18 binary64)
(* 6 (* x x))
(.f64 x (.f64 x #s(literal 6 binary64)))
6
#s(literal 6 binary64)

localize117.0ms (2.6%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 6 binary64) (.f64 x x))
✓	accuracy	71.9%	(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))

Results

63.0ms

256×

valid

Compiler

Compiled 93 to 18 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 24.0ms (60% of total)

ival-div: 7.0ms (17.5% of total)

ival-add: 4.0ms (10% of total)

...c/correct-round.rkt:119:19: 4.0ms (10% of total)

const: 1.0ms (2.5% of total)

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

series5.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (+ (/ x (/ 6 x)) -1/2)>
#<alt (/ x (/ 6 x))>
#<alt (/ 6 x)>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (/ (* x x) 6)>
#<alt (/ (+ (* (* x x) (* x x)) -9) (+ 18 (* 6 (* x x))))>
#<alt (+ (* (* x x) (* x x)) -9)>
#<alt (* (* x x) (* x x))>
#<alt (* 6 (* x x))>

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* (* x x) (* x x)) -9) (+ 18 (* 6 (* x x))))
0.0ms	x	@	0	(/ (+ (* (* x x) (* x x)) -9) (+ 18 (* 6 (* x x))))
0.0ms	x	@	0	(/ 6 x)
0.0ms	x	@	inf	(* 6 (* x x))
0.0ms	x	@	inf	(/ 6 x)

rewrite309.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

4930×	`-lowering-.f32`
4930×	`-lowering-.f64`
3394×	`/-lowering-/.f32`
3394×	`/-lowering-/.f64`
1166×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	106	52
2	783	52
0	8122	52

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 421

Calls

Call 1

Inputs
(+ (/ x (/ 6 x)) -1/2)
(/ x (/ 6 x))
(/ 6 x)
(* 1/6 (* x x))
(* x x)
(/ (* x x) 6)
(/ (+ (* (* x x) (* x x)) -9) (+ 18 (* 6 (* x x))))
(+ (* (* x x) (* x x)) -9)
(* (* x x) (* x x))
(* 6 (* x x))

Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (+.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 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 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 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 216 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))))
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(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 81 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal -9 binary64)))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal 729 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 6561 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 81 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -6561 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 81 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) #s(literal 1 binary64))
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(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal -729 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -81 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (+.f64 #s(literal 729 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))))))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal -9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))) #s(literal -729 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))) #s(literal -81 binary64)))
(.f64 (-.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -81 binary64)) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -81 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal -729 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (-.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal -729 binary64)) (.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -81 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal 729 binary64))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -9 binary64))))))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 x (.f64 x #s(literal 6 binary64)))
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 (.f64 x #s(literal 6 binary64)) x)

simplify208.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1854×	`fma-lowering-fma.f32`
1854×	`fma-lowering-fma.f64`
1764×	`fmm-def`
1460×	`-lowering-.f32`
1460×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	530
1	54	530
2	111	530
3	266	530
4	697	530
5	1117	530
6	1861	530
7	3364	530
8	6648	530
0	8038	530

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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))
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-9
(- (pow x 4) 9)
(- (pow x 4) 9)
(- (pow x 4) 9)
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))

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

eval113.0ms (2.5%)

Compiler: Compiled 14749 to 1095 computations (92.6% saved)

prune78.0ms (1.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	646	3	649
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	647	8	655

Accuracy

100.0%

Counts

655 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.3%	(/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	46.4%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	46.4%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	99.9%	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
▶	46.4%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	46.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	54.1%	#s(literal -1/2 binary64)

Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (.f64 x x)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	(/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	cost-diff	(/.f64 #s(literal 6 binary64) x)
✓	cost-diff	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	cost-diff	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
18×	`*-commutative`
16×	`/-lowering-/.f32`
16×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	24	54
2	41	50
3	54	50
4	57	50
0	57	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ x 6) x)
(/ x 6)
x
6
(/ x (/ 6 x))
x
(/ 6 x)
6
(/ (* (* x x) (* x x)) (+ 18 (* 6 (* x x))))
(* (* x x) (* x x))
(* x x)
x
(+ 18 (* 6 (* x x)))
18
(* 6 (* x x))
6

Outputs
(* (/ x 6) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/ x 6)
(/.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(/ x (/ 6 x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
x
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
(/ (* (* x x) (* x x)) (+ 18 (* 6 (* x x))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 18 binary64) (.f64 x (*.f64 x #s(literal 6 binary64)))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(+ 18 (* 6 (* x x)))
(+.f64 #s(literal 18 binary64) (.f64 x (.f64 x #s(literal 6 binary64))))
18
#s(literal 18 binary64)
(* 6 (* x x))
(.f64 x (.f64 x #s(literal 6 binary64)))
6
#s(literal 6 binary64)

localize81.0ms (1.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 6 binary64) (.f64 x x))
✓	accuracy	71.9%	(/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)

Results

58.0ms

256×

valid

Compiler

Compiled 62 to 13 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (44.8% of total)

ival-mult: 7.0ms (44.8% of total)

ival-add: 1.0ms (6.4% of total)

const: 1.0ms (6.4% of total)

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

series2.0ms (0%)

Counts

9 → 108

Calls

Call 1

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

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (* (* x x) (* x x)) (+ 18 (* 6 (* x x))))
0.0ms	x	@	inf	(/ (* (* x x) (* x x)) (+ 18 (* 6 (* x x))))
0.0ms	x	@	-inf	(/ (* (* x x) (* x x)) (+ 18 (* 6 (* x x))))
0.0ms	x	@	0	(* (/ x 6) x)
0.0ms	x	@	0	(* x x)

rewrite594.0ms (13.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3692×	`-lowering-.f32`
3692×	`-lowering-.f64`
3116×	`/-lowering-/.f32`
3116×	`/-lowering-/.f64`
1406×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	66	43
2	421	43
3	3461	43
0	8924	43

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 495

Calls

Call 1

Inputs
(* (/ x 6) x)
(/ x 6)
(/ x (/ 6 x))
(/ 6 x)
(/ (* (* x x) (* x x)) (+ 18 (* 6 (* x x))))
(* (* x x) (* x x))
(* x x)
(+ 18 (* 6 (* x x)))
(* 6 (* x x))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 6 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 x #s(literal 6 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 6 binary64) x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal 6 binary64))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.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 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -6 binary64) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 6 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 6 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -6 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) x)) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -6 binary64) x) x)) (.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 (/.f64 #s(literal -6 binary64) x) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal -6 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal -1 binary64)))) (*.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 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal -6 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -6 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) #s(literal 6 binary64))
(/.f64 (neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal 6 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) x))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #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 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -6 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 x #s(literal -6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (.f64 (/.f64 x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
(exp.f64 (log.f64 (/.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -6 binary64)))
(neg.f64 (/.f64 x #s(literal -6 binary64)))
(neg.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -6 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal 6 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 6 binary64))
(pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/6 binary64) (/.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 6 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 x #s(literal 6 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 6 binary64) x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal 6 binary64))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.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 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -6 binary64) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 6 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 6 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -6 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) x)) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -6 binary64) x) x)) (.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 (/.f64 #s(literal -6 binary64) x) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal -6 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal -1 binary64)))) (*.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 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal -6 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -6 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) #s(literal 6 binary64))
(/.f64 (neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal 6 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) x))
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #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 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -6 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 x #s(literal -6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (.f64 (/.f64 x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
(exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x))
(neg.f64 (/.f64 #s(literal -6 binary64) x))
(neg.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) x)
(/.f64 #s(literal 6 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -6 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -6 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))
(pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
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(.f64 (/.f64 (+.f64 #s(literal 5832 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)))) (-.f64 #s(literal 104976 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)))))) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 324 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -36 binary64))) (-.f64 #s(literal 5832 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))))) (+.f64 #s(literal 324 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)))))
(exp.f64 (log.f64 (.f64 #s(literal 6 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(pow.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 6 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 6 binary64)))))
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 6 binary64))))
(.f64 (.f64 x #s(literal 6 binary64)) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 6 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal 6 binary64))) (.f64 x x))

simplify237.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

3318×	`-lowering-.f32`
3318×	`-lowering-.f64`
1730×	`+-lowering-+.f64`
1730×	`+-lowering-+.f32`
1568×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	55	564
1	142	547
2	380	527
3	1121	521
4	3209	521
5	6743	519
0	8834	519

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

eval118.0ms (2.7%)

Compiler: Compiled 13733 to 1243 computations (90.9% saved)

prune92.0ms (2.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	649	0	649
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	649	8	657

Accuracy

100.0%

Counts

657 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	14.3%	(/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	46.4%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	46.4%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	99.9%	(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
✓	46.4%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	46.4%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	54.1%	#s(literal -1/2 binary64)

Compiler

Compiled 133 to 63 computations (52.6% saved)

regimes14.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(+.f64 (*.f64 x (/.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -9 binary64)) (+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x))))

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

Calls

4 calls:

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

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 3 computations (50% saved)

regimes116.0ms (2.6%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

113.0ms	(*.f64 x x)
2.0ms	x

Results

Accuracy	Segments	Branch
98.7%	2	`x`
98.7%	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 #s(literal 6 binary64)) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	2	`x`
98.7%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`x`
98.6%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0.1%)

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:

2.0ms

Results

Accuracy	Segments	Branch
54.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.8793011318974694e-8	5.458746968814589

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.8793011318974694e-8	5.458746968814589

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch11.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.8793011318974694e-8	5.458746968814589

Results

5.0ms

144×

valid

Compiler

Compiled 84 to 72 computations (14.3% saved)

Precisions

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

ival-sub: 1.0ms (44.9% of total)

ival-div: 1.0ms (44.9% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	24	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x (/.f64 #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 944473296573929/18889465931478580854784 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(if (<=.f64 (.f64 x x) #s(literal 944473296573929/18889465931478580854784 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 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(+.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))))
(if (<=.f64 (*.f64 x x) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(if (<=.f64 (.f64 x x) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 944473296573929/18889465931478580854784 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)

soundness953.0ms (21.5%)

Rules

4930×	`-lowering-.f32`
4930×	`-lowering-.f64`
4008×	`-lowering-.f32`
4008×	`-lowering-.f64`
3394×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	106	52
2	783	52
0	8122	52
0	10	27
1	68	27
2	417	27
3	4279	27
0	8584	27
0	6	6
1	15	6
2	21	6
3	25	6
4	27	6
0	27	6
0	20	314
1	48	305
2	105	305
3	269	305
4	871	305
5	1797	305
6	3014	305
7	4763	305
0	8080	305

Stop Event

1×	done
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 170 to 107 computations (37.1% saved)

preprocess42.0ms (0.9%)

Remove: (abs x)
Compiler: Compiled 152 to 74 computations (51.3% saved)

analyze0.0ms (0%)

sample585.0ms (13.2%)

preprocess30.0ms (0.7%)

explain57.0ms (1.3%)

eval7.0ms (0.2%)

prune2.0ms (0%)

simplify4.0ms (0.1%)

localize40.0ms (0.9%)

series4.0ms (0.1%)

rewrite316.0ms (7.1%)

simplify147.0ms (3.3%)

eval75.0ms (1.7%)

prune46.0ms (1%)

simplify6.0ms (0.1%)

localize117.0ms (2.6%)

series5.0ms (0.1%)

rewrite309.0ms (7%)

simplify208.0ms (4.7%)

eval113.0ms (2.5%)

prune78.0ms (1.8%)

simplify6.0ms (0.1%)

localize81.0ms (1.8%)

series2.0ms (0%)

rewrite594.0ms (13.4%)

simplify237.0ms (5.3%)

eval118.0ms (2.7%)

prune92.0ms (2.1%)

regimes14.0ms (0.3%)

regimes5.0ms (0.1%)

regimes116.0ms (2.6%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.3%)

simplify9.0ms (0.2%)

soundness953.0ms (21.5%)

preprocess42.0ms (0.9%)

end0.0ms (0%)

Profiling