Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

Precisions

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

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

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

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

ival-add: 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)

sample1.5s (16.9%)

Results

929.0ms	4044×	1	valid
288.0ms	4212×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 842.0ms

ival-exp: 374.0ms (44.4% of total)

ival-mult: 115.0ms (13.7% of total)

ival-div: 99.0ms (11.8% of total)

ival-sub: 83.0ms (9.9% of total)

ival-add: 75.0ms (8.9% of total)

backward-pass: 71.0ms (8.4% of total)

const: 25.0ms (3% of total)

Bogosity

preprocess39.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

292×	`sum3-define`
260×	`fmsub-define`
180×	`fma-define`
166×	`fmm-def`
154×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	64
1	47	62
2	89	60
3	139	58
4	198	58
5	272	58
6	364	58
7	465	58
8	566	58
9	719	58
10	896	58
11	932	58
12	1016	58
13	1073	58
14	1082	58
15	1138	58
0	9	10
1	18	10
2	21	10
0	21	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)

Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(+ (/ 2 (+ 1 (square (exp x)))) -1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(+ 1 (/ -2 (+ 1 (square (exp x)))))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(+ 1 (/ 2 (- -1 (pow (exp -2) x))))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) y))) -1)

Symmetry

(abs y)

explain153.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	-	-	`x`
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`

Results

79.0ms	234×	1	valid
31.0ms	278×	0	valid

Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-exp: 18.0ms (37.2% of total)

backward-pass: 8.0ms (16.5% of total)

ival-div: 6.0ms (12.4% of total)

ival-mult: 6.0ms (12.4% of total)

ival-add: 4.0ms (8.3% of total)

ival-sub: 4.0ms (8.3% of total)

const: 2.0ms (4.1% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 11 computations (8.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	18	35
2	21	35
0	21	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize66.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	57.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

35.0ms	117×	1	valid
17.0ms	139×	0	valid

Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions

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

ival-exp: 10.0ms (41.4% of total)

ival-div: 3.0ms (12.4% of total)

ival-mult: 3.0ms (12.4% of total)

backward-pass: 3.0ms (12.4% of total)

ival-add: 2.0ms (8.3% of total)

ival-sub: 2.0ms (8.3% of total)

const: 1.0ms (4.1% of total)

series6.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>

Calls

15 calls:

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

rewrite262.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3016×	`-lowering-.f32`
3016×	`-lowering-.f64`
2840×	`/-lowering-/.f32`
2840×	`/-lowering-/.f64`
1586×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	48	31
2	387	31
3	6241	31
0	8361	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 214

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))))
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))))) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
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(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))))
(.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))) (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 x #s(literal -2 binary64))

simplify182.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2240×	`sum3-define`
1752×	`-lowering-.f32`
1752×	`-lowering-.f64`
1508×	`sum5-define`
1320×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	387
1	130	362
2	309	359
3	828	359
4	1912	359
5	2759	359
6	3227	359
7	3978	359
8	6714	359
0	8094	359

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))

eval30.0ms (0.3%)

Compiler: Compiled 6433 to 839 computations (87% saved)

prune49.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	266	8	274
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	266	9	275

Accuracy

100.0%

Counts

275 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
	33.7%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
	33.6%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
▶	33.2%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	57.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	47.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
▶	48.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
	47.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶	49.2%	x

Compiler

Compiled 242 to 176 computations (27.3% saved)

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))

Rules

2436×	`fma-define`
1764×	`fma-lowering-fma.f32`
1764×	`fma-lowering-fma.f64`
634×	`-lowering-.f32`
634×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	223
1	94	202
2	270	200
3	732	200
4	1394	200
5	2374	200
6	2873	200
7	2964	200
8	2965	200
9	2965	200
10	2968	200
0	2968	200

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)))
1
(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
(+ (/ 2 (+ 1 (exp (* -2 x)))) -1)
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
(* -2 x)
-2
x
-1
x
(- (/ 2 (+ 2 (* x -2))) 1)
(/ 2 (+ 2 (* x -2)))
2
(+ 2 (* x -2))
(* x -2)
x
-2
1
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
1
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x x)
(+ -1/3 (* (* x x) 2/15))
-1/3
(* (* x x) 2/15)
2/15
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))))
1
(* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))
(* x x)
(+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))
-1/3
(* (* x x) (- (* x (* x -17/315)) -2/15))
(- (* x (* x -17/315)) -2/15)
(* x (* x -17/315))
(* x -17/315)
-17/315
-2/15

Outputs
(/ 1 (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(+ (/ 2 (+ 1 (exp (* -2 x)))) -1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2
#s(literal 2 binary64)
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
-1
#s(literal -1 binary64)
x
(- (/ 2 (+ 2 (* x -2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))
(/ 2 (+ 2 (* x -2)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
2
#s(literal 2 binary64)
(+ 2 (* x -2))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(* x -2)
(*.f64 #s(literal -2 binary64) x)
x
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) 2/15))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* (* x x) 2/15)
(.f64 (.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))
(+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (- (* x (* x -17/315)) -2/15))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(- (* x (* x -17/315)) -2/15)
(+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))
(* x (* x -17/315))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
-2/15
#s(literal -2/15 binary64)

localize307.0ms (3.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -17/315 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -17/315 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 2/15 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))
✓	accuracy	57.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
✓	accuracy	57.1%	(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))

Results

145.0ms	117×	1	valid
104.0ms	139×	0	valid

Compiler

Compiled 256 to 36 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 30.0ms (27.9% of total)

...c/correct-round.rkt:119:19: 23.0ms (21.4% of total)

ival-add: 19.0ms (17.7% of total)

backward-pass: 11.0ms (10.2% of total)

ival-div: 10.0ms (9.3% of total)

ival-exp: 10.0ms (9.3% of total)

ival-sub: 4.0ms (3.7% of total)

const: 1.0ms (0.9% of total)

series12.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)))>
#<alt (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))>
#<alt (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (- (/ 2 (+ 2 (* x -2))) 1)>
#<alt (/ 2 (+ 2 (* x -2)))>
#<alt (+ 2 (* x -2))>
#<alt (* x -2)>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) 2/15)))>
#<alt (* x x)>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))>
#<alt (* (* x x) 2/15)>
#<alt (+ -1/3 (* (* x x) 2/15))>
#<alt (* x -17/315)>
#<alt (* x (* x -17/315))>
#<alt (* (* x x) (- (* x (* x -17/315)) -2/15))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 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 x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
1.0ms	x	@	inf	(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
0.0ms	x	@	-inf	(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))))
0.0ms	x	@	inf	(* (* x x) (+ -1/3 (* (* x x) 2/15)))

rewrite335.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3540×	`-lowering-.f32`
3540×	`-lowering-.f64`
2396×	`/-lowering-/.f32`
2396×	`/-lowering-/.f64`
2024×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	172
1	227	154
2	2026	152
0	8280	152

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 502

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)))
(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
(+ (/ 2 (+ 1 (exp (* -2 x)))) -1)
(/ 2 (+ 1 (exp (* -2 x))))
(- (/ 2 (+ 2 (* x -2))) 1)
(/ 2 (+ 2 (* x -2)))
(+ 2 (* x -2))
(* x -2)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15)))))
(* (* x x) (+ -1/3 (* (* x x) (- (* x (* x -17/315)) -2/15))))
(* (* x x) 2/15)
(+ -1/3 (* (* x x) 2/15))
(* x -17/315)
(* x (* x -17/315))
(* (* x x) (- (* x (* x -17/315)) -2/15))

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 #s(literal -4 binary64) x)) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))))
(pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
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(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))) (.f64 x x))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))) x)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 x x))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 2/15 binary64)) x)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)))) (+.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -2/45 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))))) (neg.f64 (+.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -2/45 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(*.f64 x #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) x)
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -17/315 binary64)) x)
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))) #s(literal 8/3375 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))) #s(literal 8/3375 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))) #s(literal 8/3375 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal 34/4725 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))) #s(literal 8/3375 binary64)) (.f64 x x))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal 34/4725 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)) (.f64 x x))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(.f64 (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))) x)

simplify250.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3490×	`+-lowering-+.f64`
3490×	`+-lowering-+.f32`
2988×	`-lowering-.f32`
2988×	`-lowering-.f64`
1182×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1940
1	402	1717
2	1128	1672
3	3558	1656
0	8273	1656

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 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)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x)
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
(* 2/15 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* 2/15 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/315 binary64))) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/315 binary64))) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* -17/315 (pow x 4))
(.f64 x (.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -17/315 (pow x 4))
(.f64 x (.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))

eval102.0ms (1.2%)

Compiler: Compiled 20292 to 1846 computations (90.9% saved)

prune136.0ms (1.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	796	6	802
Fresh	3	0	3
Picked	2	3	5
Done	0	1	1
Total	801	10	811

Accuracy

100.0%

Counts

811 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
▶	48.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x))
▶	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x))
✓	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
▶	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	57.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	48.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶	47.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	49.2%	x
▶	31.8%	#s(literal -1 binary64)

Compiler

Compiled 204 to 142 computations (30.4% saved)

simplify375.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x)

Rules

4514×	`-lowering-.f32`
4514×	`-lowering-.f64`
1704×	`+-lowering-+.f64`
1704×	`+-lowering-+.f32`
1566×	`cube-prod`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	128
1	66	113
2	193	112
3	422	112
4	600	112
5	806	106
6	1221	106
7	1795	106
8	2695	106
9	3389	106
10	4703	106
11	5920	106
12	7035	106
13	7470	106
14	7670	106
15	7839	106
16	7992	106
0	8006	106

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ 1 (* x (* x 1/3))) x))
1
(/ (+ 1 (* x (* x 1/3))) x)
(+ 1 (* x (* x 1/3)))
(* x (* x 1/3))
x
(* x 1/3)
1/3
-1
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(* x (+ 1 (* (* x x) -1/3)))
x
(+ 1 (* (* x x) -1/3))
1
(* (* x x) -1/3)
(* x x)
-1/3
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x))
1
(/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x)
(+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45)))))
(* (* x x) (+ 1/3 (* x (* x -1/45))))
(* x x)
x
(+ 1/3 (* x (* x -1/45)))
1/3
(* x (* x -1/45))
(* x -1/45)
-1/45

Outputs
(/ 1 (/ (+ 1 (* x (* x 1/3))) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
1
#s(literal 1 binary64)
(/ (+ 1 (* x (* x 1/3))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(+ 1 (* x (* x 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* x (* x 1/3))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
x
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
-1
#s(literal -1 binary64)
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* (* x x) -1/3)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
x
(+ 1 (* (* x x) -1/3))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(* (* x x) -1/3)
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* x x)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))))
1
#s(literal 1 binary64)
(/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))))
(* (* x x) (+ 1/3 (* x (* x -1/45))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1/3 (* x (* x -1/45)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* x (* x -1/45))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* x -1/45)
(*.f64 x #s(literal -1/45 binary64))
-1/45
#s(literal -1/45 binary64)

localize196.0ms (2.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal -1/45 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x))
✓	accuracy	99.7%	(*.f64 x #s(literal -1/45 binary64))
✓	accuracy	95.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	75.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x)

Results

145.0ms

256×

valid

Compiler

Compiled 157 to 26 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 45.0ms (61.8% of total)

ival-div: 11.0ms (15.1% of total)

...c/correct-round.rkt:119:19: 11.0ms (15.1% of total)

ival-add: 5.0ms (6.9% of total)

const: 1.0ms (1.4% of total)

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

series12.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ (+ 1 (* x (* x 1/3))) x)>
#<alt (/ 1 (/ (+ 1 (* x (* x 1/3))) x))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* x (+ 1 (* (* x x) -1/3)))>
#<alt (+ 1 (* (* x x) -1/3))>
#<alt (* (* x x) -1/3)>
#<alt (* x x)>
#<alt (/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x)>
#<alt (/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45)))))>
#<alt (* (* x x) (+ 1/3 (* x (* x -1/45))))>
#<alt (* x 1/3)>
#<alt (* x -1/45)>
#<alt (* x (* x -1/45))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (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 (* 1/3 (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 (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (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 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (* -1/45 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* -1/45 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))>
#<alt (/ -45 (pow x 3))>
#<alt (* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))>
#<alt (/ -45 (pow x 3))>
#<alt (* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x)
0.0ms	x	@	inf	(/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x)
0.0ms	x	@	0	(* x (+ 1 (* (* x x) -1/3)))
0.0ms	x	@	0	(/ (+ 1 (* x (* x 1/3))) x)
0.0ms	x	@	inf	(/ (+ 1 (* x (* x 1/3))) x)

rewrite356.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3070×	`-lowering-.f32`
3070×	`-lowering-.f64`
2848×	`/-lowering-/.f32`
2848×	`/-lowering-/.f64`
1764×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	107
1	150	93
2	1364	92
0	8790	92

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 898

Calls

Call 1

Inputs
(/ (+ 1 (* x (* x 1/3))) x)
(/ 1 (/ (+ 1 (* x (* x 1/3))) x))
(+ 1 (* x (* x 1/3)))
(* x (* x 1/3))
(/ 1 (/ 1 x))
(/ 1 x)
(* x (+ 1 (* (* x x) -1/3)))
(+ 1 (* (* x x) -1/3))
(* (* x x) -1/3)
(* x x)
(/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45))))) x))
(+ 1 (* (* x x) (+ 1/3 (* x (* x -1/45)))))
(* (* x x) (+ 1/3 (* x (* x -1/45))))
(* x 1/3)
(* x -1/45)
(* x (* x -1/45))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) x) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))))
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(.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/45 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/45 binary64)))
(/.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/45 binary64)))
(*.f64 x #s(literal -1/45 binary64))
(*.f64 #s(literal -1/45 binary64) x)
(.f64 (.f64 x #s(literal -1/45 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/45 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/45 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 x #s(literal -1/45 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/45 binary64)))))
(/.f64 #s(literal -1/45 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x #s(literal -1/45 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 x #s(literal -1/45 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/45 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal -1/45 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/45 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(.f64 x (/.f64 (.f64 x #s(literal -1/45 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(.f64 #s(literal -1/45 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/45 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -1/45 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/45 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (*.f64 x #s(literal -1/45 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x #s(literal -1/45 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/45 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x #s(literal -1/45 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 x #s(literal -1/45 binary64)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x #s(literal -1/45 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 x #s(literal -1/45 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))

simplify273.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3272×	`-lowering-.f32`
3272×	`-lowering-.f64`
2226×	`+-lowering-+.f64`
2226×	`+-lowering-+.f32`
1500×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1340
1	421	1117
2	1320	1084
3	4509	1051
0	8415	1051

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(/ 3 x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/ 3 x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (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))))
(* 1/3 (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))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (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 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(* -1/45 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* -1/45 (pow x 3))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))
(/ -45 (pow x 3))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))
(/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))
(/ -45 (pow x 3))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -1/27 binary64)))))))))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -9 binary64) (.f64 x x)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -9 binary64) (.f64 x x)))) x)
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x)
(* -1/45 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/45 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/45 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/45 binary64)))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/45 binary64))) (+.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/45 binary64))) (+.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -7/135 binary64)))))))))
(/ -45 (pow x 3))
(/.f64 #s(literal -45 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 (-.f64 #s(literal -675 binary64) (/.f64 #s(literal 12150 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (+.f64 #s(literal -45 binary64) (+.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal -12150 binary64) (/.f64 #s(literal 212625 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ -45 (pow x 3))
(/.f64 #s(literal -45 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (/.f64 #s(literal -12150 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (/.f64 #s(literal -12150 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -212625 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(* -1/45 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/45 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* -1/45 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/45 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
(* -1/45 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/45 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* -1/45 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/45 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/45 binary64))

eval146.0ms (1.7%)

Compiler: Compiled 26888 to 3020 computations (88.8% saved)

prune219.0ms (2.5%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1141	18	1159
Fresh	0	1	1
Picked	3	2	5
Done	1	3	4
Total	1145	24	1169

Accuracy

100.0%

Counts

1169 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
	49.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
▶	4.6%	(/.f64 #s(literal 3 binary64) x)
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
▶	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))) x))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x))
▶	48.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
▶	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x))
	48.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)))) x))
	47.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)))))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
✓	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
▶	49.3%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
	4.6%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	57.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	47.6%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))
	49.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
	47.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))))
	47.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -7/135 binary64)))))))))
✓	47.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	49.2%	x
✓	31.8%	#s(literal -1 binary64)

Compiler

Compiled 819 to 496 computations (39.4% saved)

simplify180.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))

Rules

1944×	`fma-lowering-fma.f32`
1944×	`fma-lowering-fma.f64`
1766×	`sum3-define`
1646×	`sum5-define`
1634×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	189
1	91	170
2	251	168
3	749	168
4	1854	167
5	4315	167
0	8106	167

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ (* x 1/3) (/ 1 x)))
1
(+ (* x 1/3) (/ 1 x))
(* x 1/3)
x
1/3
(/ 1 x)
(/ 3 x)
3
x
(/ 1 (/ (- 1 (* (* x x) -1/3)) x))
1
(/ (- 1 (* (* x x) -1/3)) x)
(- 1 (* (* x x) -1/3))
(* (* x x) -1/3)
(* x x)
x
-1/3
(/ 1 (/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x))
1
(/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x)
(+ 1 (* x (/ 1 (/ (/ 1 x) 1/3))))
(* x (/ 1 (/ (/ 1 x) 1/3)))
x
(/ 1 (/ (/ 1 x) 1/3))
(/ (/ 1 x) 1/3)
(/ 1 x)
1/3
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x))
1
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x)
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945))))))
(* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))
(* x x)
x
(+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945))))
1/3
(* (* x x) (+ -1/45 (* (* x x) 2/945)))
(+ -1/45 (* (* x x) 2/945))
-1/45
(* (* x x) 2/945)
2/945

Outputs
(/ 1 (+ (* x 1/3) (/ 1 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(+ (* x 1/3) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64)))
(* x 1/3)
(/.f64 x #s(literal 3 binary64))
x
1/3
#s(literal 1/3 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
(/ 1 (/ (- 1 (* (* x x) -1/3)) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(/ (- 1 (* (* x x) -1/3)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64)))
(- 1 (* (* x x) -1/3))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 3 binary64)))
(* (* x x) -1/3)
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* x x)
(*.f64 x x)
x
-1/3
#s(literal -1/3 binary64)
(/ 1 (/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64)))
(+ 1 (* x (/ 1 (/ (/ 1 x) 1/3))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 3 binary64)))
(* x (/ 1 (/ (/ 1 x) 1/3)))
(/.f64 (*.f64 x x) #s(literal 3 binary64))
x
(/ 1 (/ (/ 1 x) 1/3))
(/.f64 x #s(literal 3 binary64))
(/ (/ 1 x) 1/3)
(/.f64 #s(literal 3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1/3
#s(literal 1/3 binary64)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64))))))))))
1
#s(literal 1 binary64)
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64)))))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))))
(* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))
(* x x)
(*.f64 x x)
x
(+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ -1/45 (* (* x x) 2/945)))
(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))
(+ -1/45 (* (* x x) 2/945))
(+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))
-1/45
#s(literal -1/45 binary64)
(* (* x x) 2/945)
(.f64 x (.f64 x #s(literal 2/945 binary64)))
2/945
#s(literal 2/945 binary64)

localize210.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
✓	accuracy	99.3%	(.f64 (.f64 x x) #s(literal 2/945 binary64))
✓	accuracy	98.6%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓	accuracy	75.2%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))

Results

163.0ms

256×

valid

Compiler

Compiled 261 to 33 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 23.0ms (38.5% of total)

...c/correct-round.rkt:119:19: 15.0ms (25.1% of total)

ival-mult: 13.0ms (21.8% of total)

ival-add: 6.0ms (10% of total)

ival-sub: 1.0ms (1.7% of total)

const: 1.0ms (1.7% of total)

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

series9.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (+ (* x 1/3) (/ 1 x)))>
#<alt (+ (* x 1/3) (/ 1 x))>
#<alt (* x 1/3)>
#<alt (/ 1 x)>
#<alt (/ 3 x)>
#<alt (/ (- 1 (* (* x x) -1/3)) x)>
#<alt (/ 1 (/ (- 1 (* (* x x) -1/3)) x))>
#<alt (- 1 (* (* x x) -1/3))>
#<alt (* (* x x) -1/3)>
#<alt (/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x)>
#<alt (/ 1 (/ (/ 1 x) 1/3))>
#<alt (/ (/ 1 x) 1/3)>
#<alt (/ 1 (/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x))>
#<alt (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x)>
#<alt (/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945))))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))>
#<alt (* (* x x) 2/945)>
#<alt (* (* x x) (+ -1/45 (* (* x x) 2/945)))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (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 (* 1/3 (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 (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ 945/2 (pow x 5))>
#<alt (/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (- (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (/ 178605/8 (pow x 4))) (pow x 5))>
#<alt (/ (+ 945/2 (+ (* -1 (/ (+ 178605/8 (* 19825155/16 (/ 1 (pow x 2)))) (pow x 4))) (* 19845/4 (/ 1 (pow x 2))))) (pow x 5))>
#<alt (/ 945/2 (pow x 5))>
#<alt (/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (* -1 (/ (- (/ 178605/8 (pow x 4)) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 19825155/16 (/ 1 (pow x 6))) (/ 178605/8 (pow x 4))) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))>
#<alt (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))>
#<alt (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x))
0.0ms	x	@	inf	(* (* x x) (+ -1/45 (* (* x x) 2/945)))
0.0ms	x	@	inf	(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x)
0.0ms	x	@	0	(/ 3 x)
0.0ms	x	@	inf	(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x))

rewrite403.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3104×	`-lowering-.f32`
3104×	`-lowering-.f64`
2668×	`/-lowering-/.f32`
2668×	`/-lowering-/.f64`
2012×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	149
1	232	134
2	2003	127
0	9619	127

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 910

Calls

Call 1

Inputs
(/ 1 (+ (* x 1/3) (/ 1 x)))
(+ (* x 1/3) (/ 1 x))
(* x 1/3)
(/ 1 x)
(/ 3 x)
(/ (- 1 (* (* x x) -1/3)) x)
(/ 1 (/ (- 1 (* (* x x) -1/3)) x))
(- 1 (* (* x x) -1/3))
(* (* x x) -1/3)
(/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x)
(/ 1 (/ (/ 1 x) 1/3))
(/ (/ 1 x) 1/3)
(/ 1 (/ (+ 1 (* x (/ 1 (/ (/ 1 x) 1/3)))) x))
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))) x))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945))))))
(* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* (* x x) 2/945)))))
(* (* x x) 2/945)
(* (* x x) (+ -1/45 (* (* x x) 2/945)))

Outputs
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal 3 binary64)))))))
(pow.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(-.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 x (/.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 #s(literal 3 binary64) x) x))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 3 binary64) x)) (.f64 (/.f64 #s(literal 3 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) x))
(/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) x))
(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (/.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 x (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) x) (*.f64 x (/.f64 #s(literal 3 binary64) x)))
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(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))) x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))))) x) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))))) x))
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(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))))))))
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))) x) #s(literal 1 binary64))
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(.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) (*.f64 x x))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 2/945 binary64)) x)
(+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))
(fma.f64 x (.f64 x #s(literal -1/45 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(fma.f64 x (.f64 (.f64 x #s(literal 2/945 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(fma.f64 (.f64 x x) #s(literal -1/45 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(fma.f64 #s(literal -1/45 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(fma.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 2/945 binary64)) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/945 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(fma.f64 (.f64 #s(literal -1/45 binary64) x) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) x) x (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))))) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/893025 binary64)))) (-.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/893025 binary64))) (.f64 x x)) (-.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/893025 binary64))))) (neg.f64 (-.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
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(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) x)

simplify320.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4024×	`+-lowering-+.f64`
4024×	`+-lowering-+.f32`
3004×	`-lowering-.f32`
3004×	`-lowering-.f64`
1264×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1773
1	429	1517
2	1205	1493
3	3838	1430
0	8179	1430

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(/ 3 x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/ 3 x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(/ 3 x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/ 3 x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (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))))
(* 1/3 (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))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(/ 3 x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/ 3 x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(* 2/945 (pow x 5))
(* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 945/2 (pow x 5))
(/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (/ 178605/8 (pow x 4))) (pow x 5))
(/ (+ 945/2 (+ (* -1 (/ (+ 178605/8 (* 19825155/16 (/ 1 (pow x 2)))) (pow x 4))) (* 19845/4 (/ 1 (pow x 2))))) (pow x 5))
(/ 945/2 (pow x 5))
(/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))
(* -1 (/ (- (/ 178605/8 (pow x 4)) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))
(* -1 (/ (- (+ (* 19825155/16 (/ 1 (pow x 6))) (/ 178605/8 (pow x 4))) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))
(* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))
(* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))
(* 2/945 (pow x 4))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 1/9 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal -1/27 binary64)))))))))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 1/9 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal -1/27 binary64)))))))))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 1/9 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (*.f64 x #s(literal -1/27 binary64)))))))))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))) x)
(* 2/945 (pow x 5))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* 2/945 (pow x 5))
(*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(/ 945/2 (pow x 5))
(/.f64 #s(literal 945/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 945/2 binary64) (/.f64 #s(literal 19845/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (/ 178605/8 (pow x 4))) (pow x 5))
(/.f64 (+.f64 #s(literal 945/2 binary64) (+.f64 (/.f64 #s(literal 19845/4 binary64) (.f64 x x)) (/.f64 #s(literal -178605/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 945/2 (+ (* -1 (/ (+ 178605/8 (* 19825155/16 (/ 1 (pow x 2)))) (pow x 4))) (* 19845/4 (/ 1 (pow x 2))))) (pow x 5))
(/.f64 (+.f64 (+.f64 #s(literal 945/2 binary64) (/.f64 #s(literal 19845/4 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -178605/8 binary64) (/.f64 #s(literal -19825155/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(/ 945/2 (pow x 5))
(/.f64 #s(literal 945/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 945/2 binary64) (/.f64 #s(literal 19845/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (/ 178605/8 (pow x 4)) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (+.f64 #s(literal 945/2 binary64) (+.f64 (/.f64 #s(literal 19845/4 binary64) (.f64 x x)) (/.f64 #s(literal -178605/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (+ (* 19825155/16 (/ 1 (pow x 6))) (/ 178605/8 (pow x 4))) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (+.f64 (+.f64 #s(literal 945/2 binary64) (/.f64 #s(literal 19845/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -178605/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -19825155/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))))
(* 2/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/945 binary64))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 2/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/945 binary64))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))
(* 2/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/945 binary64))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/945 binary64))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))
(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))
(* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))
(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))
(* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))
(.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))
(* 2/945 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/945 binary64))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 2/945 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/945 binary64))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))

eval168.0ms (1.9%)

Compiler: Compiled 29218 to 2854 computations (90.2% saved)

prune441.0ms (5%)

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	1149	16	1165
Fresh	5	9	14
Picked	1	4	5
Done	0	5	5
Total	1155	34	1189

Accuracy

100.0%

Counts

1189 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
	48.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
	48.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))))
	49.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
✓	4.6%	(/.f64 #s(literal 3 binary64) x)
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
	47.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))) x))
	48.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) x))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
	24.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) x) (.f64 x (/.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
	26.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/3 binary64)))))
	25.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal 3 binary64) x)))) (.f64 x x)))
	25.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))))) (.f64 x x)))
✓	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) x) (*.f64 x (/.f64 #s(literal 3 binary64) x))))
	49.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) x)))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))) x))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x))
✓	48.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
	48.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) x))
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
✓	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
	49.3%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
	49.3%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	49.3%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
	4.6%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	57.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	47.6%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))
	47.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))))
	49.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
	48.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	47.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓	49.2%	x
✓	31.8%	#s(literal -1 binary64)

Compiler

Compiled 1453 to 617 computations (57.5% saved)

regimes115.0ms (1.3%)

Counts

49 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) x) (*.f64 x (/.f64 #s(literal 3 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))))) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal 3 binary64) x)))) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -7/135 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) x) (.f64 x (/.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))

Outputs

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

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

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

Calls

7 calls:

27.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
15.0ms	y
15.0ms	(*.f64 #s(literal -2 binary64) x)
15.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
15.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`x`
60.4%	3	`y`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes94.0ms (1.1%)

Counts

48 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) x) (*.f64 x (/.f64 #s(literal 3 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))))) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal 3 binary64) x)))) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -7/135 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) x) (.f64 x (/.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

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

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

Calls

6 calls:

29.0ms	x
14.0ms	(*.f64 #s(literal -2 binary64) x)
12.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
11.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
11.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes17.0ms (0.2%)

Counts

47 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) x) (*.f64 x (/.f64 #s(literal 3 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))))) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal 3 binary64) x)))) (.f64 x x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -7/135 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) x) (.f64 x (/.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) (-.f64 (/.f64 x (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)))))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
77.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

Outputs
#s(literal -1 binary64)
x

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
31.8%	1	`y`
31.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4643808427097495e-8	0.8591221375016669
0.0ms	-16.391481077664945	-4.7065658305222174e-5

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4643808427097495e-8	0.8591221375016669
0.0ms	-16.391481077664945	-4.7065658305222174e-5

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-12164640.99733025	-0.42956106875083344

Results

14.0ms

144×

valid

Compiler

Compiled 161 to 131 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (45.8% of total)

ival-exp: 2.0ms (22.9% of total)

ival-div: 1.0ms (11.4% of total)

ival-sub: 1.0ms (11.4% of total)

ival-mult: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-12164640.99733025	-0.42956106875083344

Results

12.0ms

144×

valid

Compiler

Compiled 161 to 131 computations (18.6% saved)

Precisions

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

ival-mult: 2.0ms (29.3% of total)

ival-div: 1.0ms (14.7% of total)

ival-sub: 1.0ms (14.7% of total)

ival-exp: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-12164640.99733025	-0.42956106875083344

Results

11.0ms

144×

valid

Compiler

Compiled 89 to 77 computations (13.5% saved)

Precisions

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

ival-div: 1.0ms (17.1% of total)

ival-sub: 1.0ms (17.1% of total)

ival-exp: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% of total)

ival-mult: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
12×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	112
1	57	112
2	60	112
3	64	112

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/75557863725914323419136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/75557863725914323419136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -7475975381435023/4503599627370496 binary64)) #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -7475975381435023/4503599627370496 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/75557863725914323419136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/75557863725914323419136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/75557863725914323419136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -10 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/75557863725914323419136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -7475975381435023/4503599627370496 binary64)) #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -7475975381435023/4503599627370496 binary64)) #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal -7475975381435023/4503599627370496 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness1.6s (18.1%)

Rules

3490×	`+-lowering-+.f64`
3490×	`+-lowering-+.f32`
3272×	`-lowering-.f32`
3272×	`-lowering-.f64`
3070×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1340
1	421	1117
2	1320	1084
3	4509	1051
0	8415	1051
0	49	387
1	130	362
2	309	359
3	828	359
4	1912	359
5	2759	359
6	3227	359
7	3978	359
8	6714	359
0	8094	359
0	9	31
1	48	31
2	387	31
3	6241	31
0	8361	31
0	23	107
1	150	93
2	1364	92
0	8790	92
0	143	1940
1	402	1717
2	1128	1672
3	3558	1656
0	8273	1656

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 300 to 178 computations (40.7% saved)

preprocess41.0ms (0.5%)

Remove: (abs y)
Compiler: Compiled 364 to 146 computations (59.9% saved)

analyze0.0ms (0%)

sample1.5s (16.9%)

preprocess39.0ms (0.4%)

explain153.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize66.0ms (0.8%)

series6.0ms (0.1%)

rewrite262.0ms (3%)

simplify182.0ms (2.1%)

eval30.0ms (0.3%)

prune49.0ms (0.6%)

simplify89.0ms (1%)

localize307.0ms (3.5%)

series12.0ms (0.1%)

rewrite335.0ms (3.8%)

simplify250.0ms (2.9%)

eval102.0ms (1.2%)

prune136.0ms (1.6%)

simplify375.0ms (4.3%)

localize196.0ms (2.2%)

series12.0ms (0.1%)

rewrite356.0ms (4.1%)

simplify273.0ms (3.1%)

eval146.0ms (1.7%)

prune219.0ms (2.5%)

simplify180.0ms (2.1%)

localize210.0ms (2.4%)

series9.0ms (0.1%)

rewrite403.0ms (4.6%)

simplify320.0ms (3.7%)

eval168.0ms (1.9%)

prune441.0ms (5%)

regimes115.0ms (1.3%)

regimes94.0ms (1.1%)

regimes17.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.6s (18.1%)

preprocess41.0ms (0.5%)

end0.0ms (0%)

Profiling