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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample727.0ms (11.2%)

Results

516.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-mult: 89.0ms (36.4% of total)

ival-div: 81.0ms (33.1% of total)

ival-sub: 55.0ms (22.5% of total)

const: 17.0ms (6.9% of total)

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

Bogosity

preprocess33.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain87.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

44.0ms

512×

valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-div: 5.0ms (34.8% of total)

ival-mult: 5.0ms (34.8% of total)

ival-sub: 3.0ms (20.9% of total)

const: 1.0ms (7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (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 3 binary64))
✓	cost-diff	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	16	15
2	22	15
3	26	15
4	28	15
0	28	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

31.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43.8% of total)

ival-div: 2.0ms (29.2% of total)

ival-sub: 1.0ms (14.6% of total)

const: 1.0ms (14.6% of total)

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

series2.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite406.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4588×	`/-lowering-/.f32`
4588×	`/-lowering-/.f64`
3508×	`-lowering-.f32`
3508×	`-lowering-.f64`
1620×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	42	12
2	236	11
3	1947	11
0	8810	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 500

Calls

Call 1

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

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

simplify125.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	153
1	46	119
2	106	119
3	276	119
4	877	119
5	1808	119
6	3022	119
7	4765	119
0	8083	119

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval109.0ms (1.7%)

Compiler: Compiled 27469 to 1547 computations (94.4% saved)

prune75.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	527	9	536
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	527	10	537

Accuracy

100.0%

Counts

537 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
▶	63.2%	(/.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x x) #s(literal 3 binary64)))
✓	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
	63.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))) #s(literal 6 binary64))
▶	51.0%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
	99.8%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
	63.2%	(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
	51.0%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	50.0%	#s(literal -1/2 binary64)

Compiler

Compiled 202 to 138 computations (31.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64)) #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x x) #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	6272	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Rules

48×	`-lowering-.f32`
48×	`-lowering-.f64`
30×	`fma-lowering-fma.f32`
30×	`fma-define`
30×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	88
1	43	83
2	62	82
3	77	81
4	87	81
5	91	81
0	91	81

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (/ x 6) x) -1/2)
(/ x 6)
x
6
-1/2
-1/2
(/ (* x x) 6)
(* x x)
x
6
(/ 1 (/ 6 (+ (* x x) -3)))
1
(/ 6 (+ (* x x) -3))
6
(+ (* x x) -3)
(* x x)
x
-3
(/ (/ (+ (* x (* x (* x x))) -9) 6) (+ (* x x) 3))
(/ (+ (* x (* x (* x x))) -9) 6)
(+ (* x (* x (* x x))) -9)
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
-9
6
(+ (* x x) 3)
3

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

localize107.0ms (1.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64)) #s(literal 6 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	68.6%	(/.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x x) #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Results

76.0ms

256×

valid

Compiler

Compiled 114 to 21 computations (81.6% saved)

Precisions

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

ival-div: 15.0ms (43.5% of total)

ival-mult: 8.0ms (23.2% of total)

ival-add: 6.0ms (17.4% of total)

compiled-spec: 4.0ms (11.6% of total)

const: 1.0ms (2.9% of total)

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

series7.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (+ (* (/ x 6) x) -1/2)>
#<alt (/ x 6)>
#<alt (/ (* x x) 6)>
#<alt (* x x)>
#<alt (/ 1 (/ 6 (+ (* x x) -3)))>
#<alt (/ 6 (+ (* x x) -3))>
#<alt (+ (* x x) -3)>
#<alt (/ (/ (+ (* x (* x (* x x))) -9) 6) (+ (* x x) 3))>
#<alt (/ (+ (* x (* x (* x x))) -9) 6)>
#<alt (+ (* x (* x (* x x))) -9)>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>

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

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (/ (+ (* x (* x (* x x))) -9) 6) (+ (* x x) 3))
1.0ms	x	@	inf	(/ x 6)
0.0ms	x	@	0	(/ (/ (+ (* x (* x (* x x))) -9) 6) (+ (* x x) 3))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(/ (+ (* x (* x (* x x))) -9) 6)

rewrite390.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

4558×	`-lowering-.f32`
4558×	`-lowering-.f64`
3836×	`/-lowering-/.f32`
3836×	`/-lowering-/.f64`
1310×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	137	52
2	918	52
0	8462	52

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1122

Calls

Call 1

Inputs
(+ (* (/ x 6) x) -1/2)
(/ x 6)
(/ (* x x) 6)
(* x x)
(/ 1 (/ 6 (+ (* x x) -3)))
(/ 6 (+ (* x x) -3))
(+ (* x x) -3)
(/ (/ (+ (* x (* x (* x x))) -9) 6) (+ (* x x) 3))
(/ (+ (* x (* x (* x x))) -9) 6)
(+ (* x (* x (* x x))) -9)
(* x (* x (* x x)))
(* x (* x x))

Outputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x))))
(+.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x))) #s(literal -1/2 binary64))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3 binary64)))) (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (.f64 x x)) (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))) #s(literal -3 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) #s(literal -3 binary64)) (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 27 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 27 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)))) (.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64)))))
(+.f64 (.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)))) (.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (/.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (/.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)))) (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 6 binary64) (.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 216 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -9/2 binary64))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (neg.f64 (.f64 (+.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (+.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal -3 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) (.f64 #s(literal 6 binary64) (.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 216 binary64)) #s(literal -1/8 binary64)) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64)) (.f64 #s(literal 6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64)) (.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 216 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 216 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 36 binary64) (.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 729 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (.f64 #s(literal 6 binary64) (.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64))) (neg.f64 (.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))))
(/.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 729 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal -9 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal -387420489 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64))))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 729 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 81 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -6561 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 81 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64)))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 729 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 81 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 9 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9 binary64)))))
(.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(neg.f64 (.f64 x (.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) x) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 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)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))

simplify234.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2590×	`-lowering-.f32`
2590×	`-lowering-.f64`
1858×	`fma-lowering-fma.f32`
1858×	`fma-lowering-fma.f64`
1782×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	714
1	175	620
2	384	620
3	865	620
4	2159	620
5	3818	620
6	6181	620
0	8251	620

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

eval179.0ms (2.8%)

Compiler: Compiled 38319 to 2055 computations (94.6% saved)

prune91.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1335	3	1338
Fresh	2	2	4
Picked	4	1	5
Done	0	1	1
Total	1341	7	1348

Accuracy

100.0%

Counts

1348 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
▶	51.1%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
▶	99.8%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
▶	51.1%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
▶	63.2%	(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
▶	51.0%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	50.0%	#s(literal -1/2 binary64)

Compiler

Compiled 102 to 70 computations (31.4% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	cost-diff	0	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))

Rules

180×	`-lowering-.f32`
180×	`-lowering-.f64`
86×	`associate-l`
72×	`fma-define`
72×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	90
1	46	86
2	71	85
3	109	84
4	154	84
5	187	84
6	227	84
7	251	84
0	251	84

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1/6 (/ 1 (+ (* x x) -3)))
1/6
(/ 1 (+ (* x x) -3))
1
(+ (* x x) -3)
(* x x)
x
-3
(* (* x x) 1/6)
(* x x)
x
1/6
(* (/ x 6) x)
(/ x 6)
x
6
(/ x (/ 6 x))
x
(/ 6 x)
6
(* (+ (* x (* x (* x x))) -9) (/ 1/6 (+ (* x x) 3)))
(+ (* x (* x (* x x))) -9)
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
-9
(/ 1/6 (+ (* x x) 3))
1/6
(+ (* x x) 3)
3

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

localize113.0ms (1.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64)))
✓	accuracy	68.9%	(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.9%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64)))

Results

85.0ms

256×

valid

Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions

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

ival-div: 11.0ms (32% of total)

ival-mult: 11.0ms (32% of total)

ival-add: 6.0ms (17.5% of total)

...c/correct-round.rkt:119:19: 5.0ms (14.6% of total)

const: 1.0ms (2.9% of total)

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

series9.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ 1/6 (/ 1 (+ (* x x) -3)))>
#<alt (/ 1 (+ (* x x) -3))>
#<alt (+ (* x x) -3)>
#<alt (* x x)>
#<alt (* (* x x) 1/6)>
#<alt (* (/ x 6) x)>
#<alt (/ x 6)>
#<alt (/ x (/ 6 x))>
#<alt (/ 6 x)>
#<alt (* (+ (* x (* x (* x x))) -9) (/ 1/6 (+ (* x x) 3)))>
#<alt (+ (* x (* x (* x x))) -9)>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 1/6 (+ (* x x) 3))>

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

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ 6 x)
0.0ms	x	@	0	(/ 6 x)
0.0ms	x	@	inf	(/ 1 (+ (* x x) -3))
0.0ms	x	@	0	(/ 1 (+ (* x x) -3))
0.0ms	x	@	inf	(/ 1/6 (+ (* x x) 3))

rewrite375.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4296×	`-lowering-.f32`
4296×	`-lowering-.f64`
3606×	`/-lowering-/.f32`
3606×	`/-lowering-/.f64`
1044×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	123	58
2	729	56
3	7796	56
0	8082	56

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1074

Calls

Call 1

Inputs
(/ 1/6 (/ 1 (+ (* x x) -3)))
(/ 1 (+ (* x x) -3))
(+ (* x x) -3)
(* x x)
(* (* x x) 1/6)
(* (/ x 6) x)
(/ x 6)
(/ x (/ 6 x))
(/ 6 x)
(* (+ (* x (* x (* x x))) -9) (/ 1/6 (+ (* x x) 3)))
(+ (* x (* x (* x x))) -9)
(* x (* x (* x x)))
(* x (* x x))
(/ 1/6 (+ (* x x) 3))

Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(+.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))) (/.f64 #s(literal 3/2 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -3 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -3 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64)))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 27 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -3/2 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 27 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x))))
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (-.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(fma.f64 #s(literal -9 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 3/2 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal -9 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(neg.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x))))
(neg.f64 (.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))))
(neg.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (/.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x)))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -243/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -3 binary64) (.f64 x x)) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))))) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -3 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64))) (.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)))) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -729 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9 binary64)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64)))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (-.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))))
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(/.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -3 binary64)))) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal 3 binary64))))) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 3 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal -3 binary64) (.f64 x x)))
(pow.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -9 binary64))))
(.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))))
(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -3 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 1/6 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))) #s(literal -1/6 binary64))
(.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (+.f64 (*.f64 x x) #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -3 binary64))))))
(.f64 (pow.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -18 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64)))) (+.f64 (.f64 x x) #s(literal -3 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -3 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 3 binary64))))))
(.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -9 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -3 binary64))))))
(.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -3 binary64))))))

simplify439.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

2610×	`-lowering-.f32`
2610×	`-lowering-.f64`
1464×	`/-lowering-/.f32`
1464×	`/-lowering-/.f64`
1242×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	888
1	223	753
2	554	751
3	1395	751
4	3930	751
0	8012	751

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval176.0ms (2.7%)

Compiler: Compiled 35912 to 2169 computations (94% saved)

prune150.0ms (2.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1294	2	1296
Fresh	0	0	0
Picked	2	3	5
Done	1	1	2
Total	1297	6	1303

Accuracy

100.0%

Counts

1303 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.1%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	99.8%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -3 binary64))))
▶	99.9%	(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
✓	51.1%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
▶	51.0%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	50.0%	#s(literal -1/2 binary64)

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

230×	`sum3-define`
216×	`fma-define`
108×	`fmsub-define`
90×	`fma-lowering-fma.f32`
90×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	16	28
2	34	25
3	68	25
4	106	25
5	148	24
6	230	24
7	277	24
8	340	24
9	547	24
10	558	24
11	559	24
0	559	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize59.0ms (0.9%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -6 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal -6 binary64) x))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Results

46.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 6.0ms (29.2% of total)

ival-mult: 5.0ms (24.3% of total)

ival-div: 4.0ms (19.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (19.4% of total)

const: 1.0ms (4.9% of total)

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

series3.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite254.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3004×	`-lowering-.f32`
3004×	`-lowering-.f64`
2180×	`/-lowering-/.f32`
2180×	`/-lowering-/.f64`
1650×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	45	23
2	319	20
3	3570	19
0	9055	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 201

Calls

Call 1

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

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

simplify162.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1800×	`fmsub-define`
1696×	`fmm-def`
1532×	`sum4-define`
1528×	`fma-lowering-fma.f32`
1528×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	257
1	37	222
2	73	222
3	168	222
4	446	222
5	821	222
6	1462	222
7	2791	222
8	5909	222
0	8156	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval63.0ms (1%)

Compiler: Compiled 4266 to 521 computations (87.8% saved)

prune30.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	0	0
Picked	0	2	2
Done	1	3	4
Total	261	6	267

Accuracy

100.0%

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.1%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓	99.9%	(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
	99.9%	(-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x))
✓	51.1%	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
✓	51.0%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	50.0%	#s(literal -1/2 binary64)

Compiler

Compiled 166 to 70 computations (57.8% saved)

regimes22.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 3 computations (50% saved)

regimes6.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 3 computations (50% saved)

regimes8.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(*.f64 x x)
2.0ms	x

Results

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

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
50.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.772746007252776e-13	889413.8295689352

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.772746007252776e-13	889413.8295689352

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.772746007252776e-13	889413.8295689352

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.772746007252776e-13	889413.8295689352

Results

14.0ms

160×

valid

Compiler

Compiled 92 to 79 computations (14.1% saved)

Precisions

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

ival-sub: 1.0ms (35.7% of total)

ival-div: 1.0ms (35.7% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	63
1	39	63
2	60	63
3	74	63
4	83	63
5	86	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x))
(if (<=.f64 (*.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(if (<=.f64 (.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal -1/2 binary64)

Outputs
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal -6 binary64)) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x #s(literal -6 binary64))))
(if (<=.f64 (*.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(if (<=.f64 (.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (.f64 (/.f64 x #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (.f64 x (/.f64 x #s(literal 6 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(if (<=.f64 (.f64 x x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)

soundness1.8s (28.4%)

Rules

4588×	`/-lowering-/.f32`
4588×	`/-lowering-/.f64`
4558×	`-lowering-.f32`
4558×	`-lowering-.f64`
4296×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	153
1	46	119
2	106	119
3	276	119
4	877	119
5	1808	119
6	3022	119
7	4765	119
0	8083	119
0	6	12
1	42	12
2	236	11
3	1947	11
0	8810	11
0	21	59
1	137	52
2	918	52
0	8462	52
0	22	61
1	123	58
2	729	56
3	7796	56
0	8082	56
0	9	23
1	45	23
2	319	20
3	3570	19
0	9055	19

Stop Event

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

Compiler

Compiled 166 to 103 computations (38% saved)

preprocess63.0ms (1%)

Remove: (abs x)
Compiler: Compiled 176 to 90 computations (48.9% saved)

Iter	Nodes	Cost
0	9	28
1	16	28
2	34	25
3	68	25
4	106	25
5	148	24
6	230	24
7	277	24
8	340	24
9	547	24
10	558	24
11	559	24
0	559	24

Iter	Nodes	Cost
0	9	28
1	16	28
2	34	25
3	68	25
4	106	25
5	148	24
6	230	24
7	277	24
8	340	24
9	547	24
10	558	24
11	559	24
0	559	24

analyze0.0ms (0%)

sample727.0ms (11.2%)

preprocess33.0ms (0.5%)

explain87.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize40.0ms (0.6%)

series2.0ms (0%)

rewrite406.0ms (6.3%)

simplify125.0ms (1.9%)

eval109.0ms (1.7%)

prune75.0ms (1.2%)

simplify8.0ms (0.1%)

localize107.0ms (1.6%)

series7.0ms (0.1%)

rewrite390.0ms (6%)

simplify234.0ms (3.6%)

eval179.0ms (2.8%)

prune91.0ms (1.4%)

simplify12.0ms (0.2%)

localize113.0ms (1.8%)

series9.0ms (0.1%)

rewrite375.0ms (5.8%)

simplify439.0ms (6.8%)

eval176.0ms (2.7%)

prune150.0ms (2.3%)

simplify15.0ms (0.2%)

localize59.0ms (0.9%)

series3.0ms (0%)

rewrite254.0ms (3.9%)

simplify162.0ms (2.5%)

eval63.0ms (1%)

prune30.0ms (0.5%)

regimes22.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.3%)

simplify14.0ms (0.2%)

soundness1.8s (28.4%)

preprocess63.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	28
1	16	28
2	34	25
3	68	25
4	106	25
5	148	24
6	230	24
7	277	24
8	340	24
9	547	24
10	558	24
11	559	24
0	559	24