Metrics for Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 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-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

sample534.0ms (8.8%)

Results

366.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 144.0ms (69.6% of total)

ival-sub: 45.0ms (21.8% of total)

const: 15.0ms (7.3% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess27.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

200×	`fmsub-define`
198×	`fnmsub-define`
198×	`fnmadd-define`
120×	`fmm-def`
94×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	36	16
2	88	15
3	201	15
4	442	15
5	622	15
6	740	15
7	764	15
0	6	5
1	17	5
2	25	5
3	27	5
0	27	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* (* x x) 2) 1)

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

Call 2

Inputs
(- (* (* x x) 2) 1)
(- (* (* (neg x) (neg x)) 2) 1)
(neg (- (* (* (neg x) (neg x)) 2) 1))

Outputs
(- (* (* x x) 2) 1)
(fnmsub (square x) -2 1)
(- (* (* (neg x) (neg x)) 2) 1)
(fnmsub (square x) -2 1)
(neg (- (* (* (neg x) (neg x)) 2) 1))
(fnmsub 2 (square x) -1)

Symmetry

(abs x)

explain108.0ms (1.8%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
1	(1.266812898686109e-162)	-	`(.f64 (.f64 x x) #s(literal 2 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`

Results

28.0ms

512×

valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-mult: 8.0ms (66.7% of total)

ival-sub: 3.0ms (25% of total)

const: 1.0ms (8.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	17	14
2	25	14
3	27	14
0	27	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* (* x x) 2) 1)
(* (* x x) 2)
(* x x)
x
2
1

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

localize26.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (65.9% of total)

ival-sub: 1.0ms (16.5% of total)

const: 1.0ms (16.5% of total)

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

series2.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite308.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3202×	`-lowering-.f32`
3202×	`-lowering-.f64`
2924×	`/-lowering-/.f32`
2924×	`/-lowering-/.f64`
1520×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	31	11
2	185	11
3	1918	11
0	8400	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 232

Calls

Call 1

Inputs
(- (* (* x x) 2) 1)
(* (* x x) 2)
(* x x)

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))))
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(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 64 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64))))))
(exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 x (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 x (.f64 x #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2278×	`-lowering-.f32`
2278×	`-lowering-.f64`
1476×	`fnmadd-define`
1276×	`div-sub`
1074×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	161
1	22	126
2	46	126
3	111	126
4	247	126
5	413	126
6	979	126
7	3149	126
8	5538	126
0	8214	126

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval34.0ms (0.6%)

Compiler: Compiled 12906 to 685 computations (94.7% saved)

prune67.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	263	5	268
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	263	6	269

Accuracy

100.0%

Counts

269 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))))
▶	50.1%	(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))))
✓	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
▶	59.1%	(.f64 #s(literal 2 binary64) (.f64 x x))
▶	40.4%	#s(literal -1 binary64)

Compiler

Compiled 220 to 104 computations (52.7% saved)

simplify199.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))
✓	cost-diff	256	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
✓	cost-diff	512	(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))
✓	cost-diff	256	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))))

Rules

2148×	`-lowering-.f32`
2148×	`-lowering-.f64`
1708×	`--lowering--.f32`
1708×	`--lowering--.f64`
1704×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	263
1	76	219
2	207	209
3	495	209
4	1129	202
5	2530	202
6	6217	202
0	8405	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* (* x x) 2) -1)))
1
(/ 1 (+ (* (* x x) 2) -1))
(+ (* (* x x) 2) -1)
(* (* x x) 2)
(* x x)
x
2
-1
-1
(* 2 (* x x))
2
(* x x)
x
(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
(+ -1 (* (* x (* x x)) (* (* x (* x x)) 8)))
-1
(* (* x (* x x)) (* (* x (* x x)) 8))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) 8)
8
(+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))
(* (* x x) (* (* x x) 4))
(* (* x x) 4)
4
(- 1 (* (* x x) -2))
1
(* (* x x) -2)
-2
(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))) (/ 1 (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))))
(/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
(* (* x (* x x)) (* (* x (* x x)) 8))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) 8)
8
(+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))
(* (* x x) (* (* x x) 4))
(* (* x x) 4)
4
(- 1 (* (* x x) -2))
1
(* (* x x) -2)
-2
(/ 1 (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))

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

localize160.0ms (2.6%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
✓	accuracy	57.0%	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))
✓	accuracy	57.0%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))

Results

94.0ms

256×

valid

Compiler

Compiled 354 to 27 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sub: 21.0ms (43.2% of total)

ival-mult: 15.0ms (30.9% of total)

ival-div: 8.0ms (16.5% of total)

ival-add: 4.0ms (8.2% of total)

const: 1.0ms (2.1% of total)

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

series82.0ms (1.3%)

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -4 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 4)) 2)) 1)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt -1>
#<alt (- (* 8 (pow x 6)) 1)>
#<alt (- (* 8 (pow x 6)) 1)>
#<alt (- (* 8 (pow x 6)) 1)>
#<alt (* 8 (pow x 6))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* 8 (pow x 6))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 8 (pow x 6))>
#<alt (* (pow x 6) (+ 8 (* -16 (pow x 2))))>
#<alt (* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))>
#<alt (* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

45 calls:

Time	Variable		Point	Expression
73.0ms	x	@	inf	(+ -1 (* (* x (* x x)) (* (* x (* x x)) 8)))
1.0ms	x	@	inf	(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
1.0ms	x	@	inf	(* (* x (* x x)) (* (* x (* x x)) 8))
1.0ms	x	@	inf	(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))) (/ 1 (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))))
1.0ms	x	@	0	(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))

rewrite539.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3136×	`/-lowering-/.f32`
3136×	`/-lowering-/.f64`
3042×	`-lowering-.f32`
3042×	`-lowering-.f64`
1698×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	116
1	171	92
2	1743	92
0	8892	92

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1365

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* (* x x) 2) -1)))
(/ 1 (+ (* (* x x) 2) -1))
(+ (* (* x x) 2) -1)
(* (* x x) 2)
(* 2 (* x x))
(* x x)
(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
(+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))
(+ -1 (* (* x (* x x)) (* (* x (* x x)) 8)))
(* (* x (* x x)) (* (* x (* x x)) 8))
(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))) (/ 1 (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))))
(/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
(/ 1 (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
(* (* x x) (* (* x x) 4))
(* x (* x x))

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

simplify239.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2292×	`-lowering-.f32`
2292×	`-lowering-.f64`
2074×	`fma-lowering-fma.f32`
2074×	`fma-lowering-fma.f64`
1828×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1203
1	319	1031
2	824	1027
3	2191	1013
4	5770	1013
0	8256	1013

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -4 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 4)) 2)) 1)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))) (pow x 2))
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
1
(+ 1 (* 2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
-1
(- (* 8 (pow x 6)) 1)
(- (* 8 (pow x 6)) 1)
(- (* 8 (pow x 6)) 1)
(* 8 (pow x 6))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* 8 (pow x 6))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 8 (pow x 6))
(* (pow x 6) (+ 8 (* -16 (pow x 2))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))
(/ 1/4 (pow x 4))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/ 1/4 (pow x 4))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -4 (pow x 2)) 2)) 1)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 4)) 2)) 1)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal -8 binary64))))))) #s(literal -1 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1/8 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (pow x 2)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
-1
#s(literal -1 binary64)
(- (* 8 (pow x 6)) 1)
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(- (* 8 (pow x 6)) 1)
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(- (* 8 (pow x 6)) 1)
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(* (pow x 6) (+ 8 (* -16 (pow x 2))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 8 binary64) (.f64 x (*.f64 x #s(literal -16 binary64)))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -16 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64)))))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -16 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 64 binary64) (.f64 (*.f64 x x) #s(literal -128 binary64)))))))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 8 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x #s(literal -16 binary64)))))))))))
(/ 1/4 (pow x 4))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) x)
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 8 binary64))))) (.f64 x (.f64 x (.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) x)
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 8 binary64))))) (.f64 x (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval469.0ms (7.7%)

Compiler: Compiled 132281 to 3321 computations (97.5% saved)

prune228.0ms (3.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	2250	2	2252
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	2252	6	2258

Accuracy

100.0%

Counts

2258 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))))
▶	50.1%	(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))
✓	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	59.1%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	40.4%	#s(literal -1 binary64)

Compiler

Compiled 106 to 61 computations (42.5% saved)

simplify205.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	cost-diff	256	(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))
✓	cost-diff	256	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
✓	cost-diff	256	(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))

Rules

3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
1670×	`fnmadd-define`
1500×	`sum4-define`
1280×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	259
1	80	201
2	218	199
3	499	199
4	1046	199
5	2487	199
6	7847	199
0	8289	199

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
(/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
(* (* x (* x x)) (* (* x (* x x)) 8))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) 8)
8
(+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))
(* (* x x) (* (* x x) 4))
(* (* x x) 4)
4
(- 1 (* (* x x) -2))
1
(* (* x x) -2)
-2
(/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))
(+ 1 (* (* x x) (+ 2 (* x (* x 4)))))
(* (* x x) (+ 2 (* x (* x 4))))
(+ 2 (* x (* x 4)))
2
(* x (* x 4))
(* x 4)
(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))
(+ -1 (* (* x (* x x)) (* (* x (* x x)) 8)))
-1
(* (* x (* x x)) (* (* x (* x x)) 8))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) 8)
8
(+ 1 (* (* x x) (+ 2 (* x (* x 4)))))
1
(* (* x x) (+ 2 (* x (* x 4))))
(+ 2 (* x (* x 4)))
2
(* x (* x 4))
(* x 4)
4

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

localize126.0ms (2.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
✓	accuracy	57.0%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
✓	accuracy	57.0%	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))

Results

79.0ms

256×

valid

Compiler

Compiled 328 to 27 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 21.0ms (48.2% of total)

ival-add: 12.0ms (27.5% of total)

ival-div: 7.0ms (16.1% of total)

ival-sub: 2.0ms (4.6% of total)

const: 1.0ms (2.3% of total)

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

series69.0ms (1.1%)

Counts

10 → 120

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 8 (pow x 6))>
#<alt (* (pow x 6) (+ 8 (* -16 (pow x 2))))>
#<alt (* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))>
#<alt (* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))>
#<alt 1>
#<alt (+ 1 (* 2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* 8 (pow x 6)) 1)>
#<alt (- (* 8 (pow x 6)) 1)>
#<alt (- (* 8 (pow x 6)) 1)>
#<alt (* 8 (pow x 6))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* 8 (pow x 6))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- 8 (/ 1 (pow x 6))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 4 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* 4 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* 4 (pow x 2))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
0.0ms	x	@	inf	(* (* x x) (+ 2 (* x (* x 4))))
0.0ms	x	@	inf	(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
0.0ms	x	@	inf	(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))
0.0ms	x	@	0	(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))

rewrite438.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3444×	`-lowering-.f32`
3444×	`-lowering-.f64`
3082×	`/-lowering-/.f32`
3082×	`/-lowering-/.f64`
1832×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	146
1	175	103
2	1917	84
0	8371	84

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 469

Calls

Call 1

Inputs
(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
(/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2))))
(+ (* (* x x) (* (* x x) 4)) (- 1 (* (* x x) -2)))
(* (* x (* x x)) (* (* x (* x x)) 8))
(/ (+ -1 (* (* x (* x x)) (* (* x (* x x)) 8))) (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))
(+ -1 (* (* x (* x x)) (* (* x (* x x)) 8)))
(* x (* x x))
(/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))
(* (* x x) (* (* x x) 4))
(* (* x x) (+ 2 (* x (* x 4))))

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

simplify302.0ms (5%)

Algorithm

1×	egg-herbie

Rules

2110×	`-lowering-.f32`
2110×	`-lowering-.f64`
1766×	`fma-lowering-fma.f32`
1766×	`fma-lowering-fma.f64`
1614×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	885
1	250	787
2	652	783
3	1793	751
4	5067	751
0	8258	751

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 8 (pow x 6))
(* (pow x 6) (+ 8 (* -16 (pow x 2))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
1
(+ 1 (* 2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
-1
(- (* 8 (pow x 6)) 1)
(- (* 8 (pow x 6)) 1)
(- (* 8 (pow x 6)) 1)
(* 8 (pow x 6))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* 8 (pow x 6))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))
(/ 1/4 (pow x 4))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/ 1/4 (pow x 4))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 8 (* -16 (pow x 2))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) #s(literal -16 binary64))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -16 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x x) #s(literal -128 binary64))))))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))) (.f64 x x)))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))) (.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (pow x 2)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(+ 1 (* (pow x 2) (+ 2 (* 4 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(* (pow x 4) (+ 4 (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 8 (pow x 6)) 1)
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(- (* 8 (pow x 6)) 1)
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(- (* 8 (pow x 6)) 1)
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(* 8 (pow x 6))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(* (pow x 6) (- 8 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) #s(literal -16 binary64)))))))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (.f64 x (.f64 x (.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))) (.f64 x (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (pow x 4))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))

eval126.0ms (2.1%)

Compiler: Compiled 41296 to 1836 computations (95.6% saved)

prune107.0ms (1.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	746	1	747
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	747	6	753

Accuracy

100.0%

Counts

753 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.1%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))))
▶	50.1%	(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))
✓	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	59.1%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	40.4%	#s(literal -1 binary64)

Compiler

Compiled 102 to 58 computations (43.1% saved)

simplify191.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	cost-diff	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))
✓	cost-diff	(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))

Rules

2740×	`-lowering-.f32`
2740×	`-lowering-.f64`
1940×	`sum4-define`
1672×	`fma-lowering-fma.f32`
1672×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	152
1	62	124
2	176	123
3	354	123
4	701	123
5	1500	123
6	2786	123
7	6036	123
0	8282	123

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1)) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
(/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1))
(* (* x (* x x)) (* (* x (* x x)) 8))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) 8)
8
(+ (* x (* x (+ 2 (* x (* x 4))))) 1)
(* x (* x (+ 2 (* x (* x 4)))))
(* x (+ 2 (* x (* x 4))))
(+ 2 (* x (* x 4)))
2
(* x (* x 4))
(* x 4)
4
1
(/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))
(+ 1 (* (* x x) (+ 2 (* x (* x 4)))))
(* (* x x) (+ 2 (* x (* x 4))))

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

localize80.0ms (1.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
✓	accuracy	57.0%	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))

Results

50.0ms

256×

valid

Compiler

Compiled 192 to 21 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 16.0ms (62.8% of total)

ival-add: 4.0ms (15.7% of total)

ival-div: 3.0ms (11.8% of total)

ival-sub: 1.0ms (3.9% of total)

const: 1.0ms (3.9% of total)

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

series6.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 8 (pow x 6))>
#<alt (* (pow x 6) (+ 8 (* -16 (pow x 2))))>
#<alt (* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))>
#<alt (* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (* 8 (pow x 6))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 4 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* 4 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* 4 (pow x 2))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))>

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1)) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
0.0ms	x	@	0	(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1)) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
0.0ms	x	@	-inf	(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1)) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
0.0ms	x	@	inf	(/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1))
0.0ms	x	@	0	(* (* x (* x x)) (* (* x (* x x)) 8))

rewrite478.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
4174×	`/-lowering-/.f32`
4174×	`/-lowering-/.f64`
2088×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	88
1	139	58
2	1387	57
0	9178	57

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 443

Calls

Call 1

Inputs
(- (/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1)) (/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4)))))))
(/ (* (* x (* x x)) (* (* x (* x x)) 8)) (+ (* x (* x (+ 2 (* x (* x 4))))) 1))
(* (* x (* x x)) (* (* x (* x x)) 8))
(* x (* x x))
(/ 1 (+ 1 (* (* x x) (+ 2 (* x (* x 4))))))
(* (* x x) (+ 2 (* x (* x 4))))

Outputs
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (fma.f64 (neg.f64 (pow.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (.f64 (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 (fma.f64 x (.f64 (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))))))
(+.f64 (fma.f64 x (.f64 (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))))))) (fma.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))))))
(+.f64 (fma.f64 x (.f64 (.f64 x x) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) #s(literal -1 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) (.f64 x (.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))))))
(fma.f64 x (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x x) (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)) x (.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 4 binary64) (.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))))) (-.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x)) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x x)) x))))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))
(.f64 x (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 x x))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) x)
(.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64)))))))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 4 binary64)))))) x)

simplify233.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2282×	`-lowering-.f32`
2282×	`-lowering-.f64`
1626×	`fma-lowering-fma.f32`
1626×	`fma-lowering-fma.f64`
1560×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	577
1	220	500
2	570	496
3	1575	486
4	4697	486
0	8383	486

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 8 (pow x 6))
(* (pow x 6) (+ 8 (* -16 (pow x 2))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(* 8 (pow x 6))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))
(/ 1/4 (pow x 4))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/ 1/4 (pow x 4))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 8 (* -16 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x #s(literal -16 binary64)))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* 64 (pow x 4)) 16))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -16 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))))))
(* (pow x 6) (+ 8 (* (pow x 2) (- (* (pow x 4) (+ 64 (* -128 (pow x 2)))) 16))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x x) #s(literal -128 binary64))))))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
(* (pow x 2) (- (+ 2 (/ 1/4 (pow x 6))) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 8))))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 8 (pow x 6))
(.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(+ 1 (* (pow x 2) (- (* 8 (pow x 4)) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ 1 (* (pow x 2) (- (* (pow x 4) (+ 8 (* -16 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x #s(literal -16 binary64)))) (.f64 x (.f64 x (.f64 x x)))))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (.f64 x (.f64 x (.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (* 1/8 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 1/4 (/ 1/32 (pow x 6))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (.f64 x (.f64 x (.f64 x x))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 2) (+ 2 (* 4 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (pow x 4))
(.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (pow x 4))
(.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))
(* (pow x 4) (+ 4 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))))

eval80.0ms (1.3%)

Compiler: Compiled 46181 to 1478 computations (96.8% saved)

prune69.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	535	0	535
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	535	6	541

Accuracy

100.0%

Counts

541 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.1%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))))
✓	50.1%	(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))
✓	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	59.1%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	40.4%	#s(literal -1 binary64)

Compiler

Compiled 330 to 98 computations (70.3% saved)

regimes30.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 2 binary64) (.f64 x x))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))))

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

Calls

4 calls:

20.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
100.0%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	2	`x`
97.8%	2	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
40.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.036066099118903856	0.7444956314236532

Results

4.0ms

112×

valid

Compiler

Compiled 68 to 58 computations (14.7% saved)

Precisions

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

ival-sub: 1.0ms (63% of total)

ival-mult: 1.0ms (63% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`mul-1-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	17	20
2	20	20
3	24	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))

#s(literal -1 binary64)

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

soundness334.0ms (5.5%)

Rules

2278×	`-lowering-.f32`
2278×	`-lowering-.f64`
1476×	`fnmadd-define`
1276×	`div-sub`
1074×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	161
1	22	126
2	46	126
3	111	126
4	247	126
5	413	126
6	979	126
7	3149	126
8	5538	126
0	8214	126

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 31 to 17 computations (45.2% saved)

preprocess25.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 90 to 54 computations (40% saved)

Iter	Nodes	Cost
0	11	16
1	36	16
2	88	15
3	201	15
4	442	15
5	622	15
6	740	15
7	764	15
0	6	5
1	17	5
2	25	5
3	27	5
0	27	5

Iter	Nodes	Cost
0	11	16
1	36	16
2	88	15
3	201	15
4	442	15
5	622	15
6	740	15
7	764	15
0	6	5
1	17	5
2	25	5
3	27	5
0	27	5

analyze0.0ms (0%)

sample534.0ms (8.8%)

preprocess27.0ms (0.4%)

explain108.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize26.0ms (0.4%)

series2.0ms (0%)

rewrite308.0ms (5.1%)

simplify135.0ms (2.2%)

eval34.0ms (0.6%)

prune67.0ms (1.1%)

simplify199.0ms (3.3%)

localize160.0ms (2.6%)

series82.0ms (1.3%)

rewrite539.0ms (8.9%)

simplify239.0ms (3.9%)

eval469.0ms (7.7%)

prune228.0ms (3.8%)

simplify205.0ms (3.4%)

localize126.0ms (2.1%)

series69.0ms (1.1%)

rewrite438.0ms (7.2%)

simplify302.0ms (5%)

eval126.0ms (2.1%)

prune107.0ms (1.8%)

simplify191.0ms (3.1%)

localize80.0ms (1.3%)

series6.0ms (0.1%)

rewrite478.0ms (7.8%)

simplify233.0ms (3.8%)

eval80.0ms (1.3%)

prune69.0ms (1.1%)

regimes30.0ms (0.5%)

regimes5.0ms (0.1%)

regimes1.0ms (0%)

bsearch8.0ms (0.1%)

simplify8.0ms (0.1%)

soundness334.0ms (5.5%)

preprocess25.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	16
1	36	16
2	88	15
3	201	15
4	442	15
5	622	15
6	740	15
7	764	15
0	6	5
1	17	5
2	25	5
3	27	5
0	27	5