Metrics for Rosa's Benchmark

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

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

sample1.1s (16%)

Results

918.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 722.0ms

...c/correct-round.rkt:119:19: 368.0ms (51% of total)

ival-mult: 273.0ms (37.8% of total)

ival-sub: 71.0ms (9.8% of total)

const: 7.0ms (1% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess109.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

890×	`fnmadd-define`
750×	`fma-define`
638×	`sum3-define`
626×	`fnmadd-define`
496×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	55	24
2	188	24
3	562	21
4	1113	21
5	1728	21
6	2072	21
0	8	9
1	22	8
2	57	8
3	138	7
4	222	7
5	331	7
6	588	7
7	876	7
8	1235	7
9	2581	7
10	2665	7
0	2665	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))

Outputs

(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))

(*.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))

Call 2

Inputs

(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))

(- (* 238732414637843/250000000000000 (neg x)) (* 6450306886639899/50000000000000000 (* (* (neg x) (neg x)) (neg x))))

(neg (- (* 238732414637843/250000000000000 (neg x)) (* 6450306886639899/50000000000000000 (* (* (neg x) (neg x)) (neg x)))))

Outputs
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))
(* x (fnmsub 6450306886639899/50000000000000000 (square x) -238732414637843/250000000000000))
(- (* 238732414637843/250000000000000 (neg x)) (* 6450306886639899/50000000000000000 (* (* (neg x) (neg x)) (neg x))))
(* x (fnmsub (square x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(neg (- (* 238732414637843/250000000000000 (neg x)) (* 6450306886639899/50000000000000000 (* (* (neg x) (neg x)) (neg x)))))
(* x (fnmsub 6450306886639899/50000000000000000 (square x) -238732414637843/250000000000000))

Symmetry

(negabs x)

explain120.0ms (1.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))`
-	-	`(*.f64 x x)`
-	-	`#s(literal 238732414637843/250000000000000 binary64)`
-	-	`#s(literal 6450306886639899/50000000000000000 binary64)`
-	-	`(.f64 (.f64 x x) x)`
-	-	`(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))`
-	-	`(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)`

Results

63.0ms

512×

valid

Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

...c/correct-round.rkt:119:19: 21.0ms (53.9% of total)

ival-mult: 15.0ms (38.5% of total)

ival-sub: 3.0ms (7.7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
▶	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))

Status

Accuracy

Program

▶

99.7%

(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)))

▶

99.8%

(*.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) x)
✓	cost-diff	0	(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))
✓	cost-diff	0	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	cost-diff	128	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
✓	cost-diff	0	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))

Rules

890×	`fnmadd-define`
758×	`fma-define`
638×	`sum3-define`
496×	`sum5-define`
492×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	36	45
2	79	45
3	153	45
4	233	45
5	341	45
6	598	45
7	887	45
8	1258	45
9	2604	45
10	2688	45
0	2688	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
x
(+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))
238732414637843/250000000000000
(* x (* x -6450306886639899/50000000000000000))
(* x -6450306886639899/50000000000000000)
-6450306886639899/50000000000000000
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))
(* 238732414637843/250000000000000 x)
238732414637843/250000000000000
x
(* 6450306886639899/50000000000000000 (* (* x x) x))
6450306886639899/50000000000000000
(* (* x x) x)
(* x x)

Outputs
(* x (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
x
(+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(* x (* x -6450306886639899/50000000000000000))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* x -6450306886639899/50000000000000000)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
-6450306886639899/50000000000000000
#s(literal -6450306886639899/50000000000000000 binary64)
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
x
(* 6450306886639899/50000000000000000 (* (* x x) x))
(.f64 x (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)))
6450306886639899/50000000000000000
#s(literal 6450306886639899/50000000000000000 binary64)
(* (* x x) x)
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)

localize102.0ms (1.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
✓	accuracy	99.9%	(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (*.f64 x x) x))
✓	accuracy	99.9%	(.f64 (.f64 x x) x)
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))

Results

86.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

...c/correct-round.rkt:119:19: 50.0ms (73.9% of total)

ival-mult: 15.0ms (22.2% of total)

ival-sub: 1.0ms (1.5% of total)

ival-add: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (* x (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))>
#<alt (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))>
#<alt (* x (* x -6450306886639899/50000000000000000))>
#<alt (* x -6450306886639899/50000000000000000)>
#<alt (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 (* (* x x) x))>
#<alt (* (* x x) x)>

Outputs
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt 238732414637843/250000000000000>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* 6450306886639899/50000000000000000 (* (* x x) x))
1.0ms	x	@	inf	(* x (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
1.0ms	x	@	0	(* x (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
0.0ms	x	@	inf	(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))
0.0ms	x	@	0	(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))

rewrite329.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4238×	`-lowering-.f32`
4238×	`-lowering-.f64`
1746×	`/-lowering-/.f32`
1746×	`/-lowering-/.f64`
1462×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	72	37
2	529	37
3	6721	37
0	8066	37

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 422

Calls

Call 1

Inputs
(* x (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
(+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))
(* x (* x -6450306886639899/50000000000000000))
(* x -6450306886639899/50000000000000000)
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)))
(* 238732414637843/250000000000000 x)
(* 6450306886639899/50000000000000000 (* (* x x) x))
(* (* x x) x)

Outputs
(+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
(+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (fma.f64 (neg.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
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(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))))))) (+.f64 (.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (.f64 x (*.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))))) (+.f64 (.f64 x (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 (.f64 x (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) (-.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))))) (+.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))))) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))))) (-.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))))) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify113.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1892×	`fnmadd-define`
1678×	`fma-define`
1414×	`times-frac`
1246×	`-lowering-.f32`
1246×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	490
1	63	422
2	157	422
3	472	422
4	1516	422
5	4238	422
0	9570	422

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
238732414637843/250000000000000
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval73.0ms (1%)

Compiler: Compiled 18509 to 739 computations (96% saved)

prune65.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	511	7	518
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	511	9	520

Accuracy

100.0%

Counts

520 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
	99.7%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))))
	99.7%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
▶	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	99.7%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
▶	66.4%	(.f64 x (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
▶	51.3%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
▶	50.6%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 186 to 133 computations (28.5% saved)

simplify245.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	cost-diff	0	(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	cost-diff	0	(.f64 x (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	cost-diff	0	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	cost-diff	6208	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	6208	(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	6336	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))

Rules

2148×	`fnmadd-define`
2090×	`-lowering-.f32`
2090×	`-lowering-.f64`
1258×	`sum3-define`
816×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	152
1	68	131
2	130	131
3	270	131
4	400	131
5	529	131
6	791	131
7	1462	131
8	2376	131
9	5942	131
10	7982	131
0	8002	131

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (pow x 3)))
(* 238732414637843/250000000000000 x)
238732414637843/250000000000000
x
(* 6450306886639899/50000000000000000 (pow x 3))
6450306886639899/50000000000000000
(pow x 3)
3
(* x 238732414637843/250000000000000)
x
238732414637843/250000000000000
(* x (* -6450306886639899/50000000000000000 (* x x)))
x
(* -6450306886639899/50000000000000000 (* x x))
-6450306886639899/50000000000000000
(* x x)
(/ x (/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))))
x
(/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
1
(+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))
238732414637843/250000000000000
(* x (* x -6450306886639899/50000000000000000))
(* x -6450306886639899/50000000000000000)
-6450306886639899/50000000000000000
(* x (/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
x
(/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000))
56993165798814994692847692649/62500000000000000000000000000
(* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-41606458931834106848498498730201/2500000000000000000000000000000000
(+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))
238732414637843/250000000000000
(* x (* x 6450306886639899/50000000000000000))
(* x 6450306886639899/50000000000000000)
6450306886639899/50000000000000000

Outputs
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (pow x 3)))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
x
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
6450306886639899/50000000000000000
#s(literal 6450306886639899/50000000000000000 binary64)
(pow x 3)
(.f64 x (.f64 x x))
3
#s(literal 3 binary64)
(* x 238732414637843/250000000000000)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
x
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(* x (* -6450306886639899/50000000000000000 (* x x)))
(.f64 x (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
x
(* -6450306886639899/50000000000000000 (* x x))
(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
-6450306886639899/50000000000000000
#s(literal -6450306886639899/50000000000000000 binary64)
(* x x)
(*.f64 x x)
(/ x (/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
x
(/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
1
#s(literal 1 binary64)
(+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(* x (* x -6450306886639899/50000000000000000))
(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(* x -6450306886639899/50000000000000000)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
-6450306886639899/50000000000000000
#s(literal -6450306886639899/50000000000000000 binary64)
(* x (/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
(/.f64 (.f64 x (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
x
(/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))
(/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
56993165798814994692847692649/62500000000000000000000000000
#s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)
(* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-41606458931834106848498498730201/2500000000000000000000000000000000
#s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)
(+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(* x (* x 6450306886639899/50000000000000000))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* x 6450306886639899/50000000000000000)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
6450306886639899/50000000000000000
#s(literal 6450306886639899/50000000000000000 binary64)

localize154.0ms (2.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	accuracy	62.3%	(/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	accuracy	98.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.9%	(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)

Results

110.0ms

256×

valid

Compiler

Compiled 182 to 31 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 32.0ms (42% of total)

...c/correct-round.rkt:119:19: 28.0ms (36.7% of total)

ival-div: 5.0ms (6.6% of total)

ival-pow: 5.0ms (6.6% of total)

ival-add: 4.0ms (5.2% of total)

ival-sub: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

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

series10.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (pow x 3)))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (pow x 3)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x 238732414637843/250000000000000)>
#<alt (* x (* -6450306886639899/50000000000000000 (* x x)))>
#<alt (* -6450306886639899/50000000000000000 (* x x))>
#<alt (* x x)>
#<alt (/ x (/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))))>
#<alt (/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))>
#<alt (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))>
#<alt (* x (* x -6450306886639899/50000000000000000))>
#<alt (* x (/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))>
#<alt (/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)>
#<alt (* x -6450306886639899/50000000000000000)>
#<alt (* x 6450306886639899/50000000000000000)>
#<alt (* x (* x 6450306886639899/50000000000000000))>

Outputs
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (* 6450306886639899/50000000000000000 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (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 (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt 250000000000000/238732414637843>
#<alt (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)))))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))))))>
#<alt (/ -50000000000000000/6450306886639899 (pow x 2))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -50000000000000000/6450306886639899 (pow x 2))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 238732414637843/250000000000000>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt 238732414637843/250000000000000>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt 56993165798814994692847692649/62500000000000000000000000000>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* x 6450306886639899/50000000000000000))
1.0ms	x	@	inf	(* x (/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
1.0ms	x	@	0	(* x (/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
0.0ms	x	@	inf	(/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
0.0ms	x	@	inf	(* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)

rewrite476.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3358×	`-lowering-.f32`
3358×	`-lowering-.f64`
2474×	`/-lowering-/.f32`
2474×	`/-lowering-/.f64`
1806×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	99
1	154	87
2	1127	87
0	8784	87

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 936

Calls

Call 1

Inputs
(- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (pow x 3)))
(* 6450306886639899/50000000000000000 (pow x 3))
(pow x 3)
(* 238732414637843/250000000000000 x)
(* x 238732414637843/250000000000000)
(* x (* -6450306886639899/50000000000000000 (* x x)))
(* -6450306886639899/50000000000000000 (* x x))
(* x x)
(/ x (/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))))
(/ 1 (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000))))
(+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))
(* x (* x -6450306886639899/50000000000000000))
(* x (/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
(/ (+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000))
(* (* x (* x (* x x))) -41606458931834106848498498730201/2500000000000000000000000000000000)
(* x -6450306886639899/50000000000000000)
(* x 6450306886639899/50000000000000000)
(* x (* x 6450306886639899/50000000000000000))

Outputs
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (neg.f64 (-.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))))
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(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 238732414637843/250000000000000 binary64) x))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -238732414637843/250000000000000 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))))))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(+.f64 (fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (neg.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))))))
(+.f64 (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(+.f64 (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (neg.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 238732414637843/250000000000000 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 238732414637843/250000000000000 binary64) x)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 238732414637843/250000000000000 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
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(+.f64 (.f64 (/.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))))) (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) #s(literal 238732414637843/250000000000000 binary64)) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) #s(literal 238732414637843/250000000000000 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (-.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))))
(-.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
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(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))))
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(-.f64 (/.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)))
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(.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)))
(.f64 (+.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))))))
(.f64 (+.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64))) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 #s(literal 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (-.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))))
(.f64 (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal 1 binary64))
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(.f64 (-.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64))) #s(literal -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 x (neg.f64 (.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 x (neg.f64 (.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 (.f64 x x) (neg.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(.f64 (.f64 x x) (neg.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 (.f64 x x) (neg.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) x)
(.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) x) (.f64 x (.f64 x x)))
(.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -6450306886639899/50000000000000000 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (.f64 x x))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (*.f64 x x))) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) x)
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 x x))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 x x))) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))) x)
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(neg.f64 (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6450306886639899/50000000000000000 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(neg.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6450306886639899/50000000000000000 binary64))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
(/.f64 (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))

simplify251.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2658×	`-lowering-.f32`
2658×	`-lowering-.f64`
1592×	`fma-lowering-fma.f32`
1592×	`fma-lowering-fma.f64`
1586×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	1238
1	193	1057
2	531	1049
3	1445	1049
4	3657	1049
5	7322	1049
0	8487	1049

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (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)
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
250000000000000/238732414637843
(+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)))))
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))))))
(/ -50000000000000000/6450306886639899 (pow x 2))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))
238732414637843/250000000000000
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
238732414637843/250000000000000
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
56993165798814994692847692649/62500000000000000000000000000
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))

Outputs
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
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(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* -6450306886639899/50000000000000000 x)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))

eval185.0ms (2.6%)

Compiler: Compiled 39083 to 1883 computations (95.2% saved)

prune94.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1176	6	1182
Fresh	2	0	2
Picked	2	3	5
Done	1	1	2
Total	1181	10	1191

Accuracy

100.0%

Counts

1191 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
▶	51.2%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
▶	50.3%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	51.3%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
▶	51.3%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
	51.2%	(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
▶	18.8%	(.f64 x (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	50.6%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 152 to 101 computations (33.6% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x (*.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	cost-diff	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
✓	cost-diff	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	cost-diff	(.f64 x (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
✓	cost-diff	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	cost-diff	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	cost-diff	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	cost-diff	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	cost-diff	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)

Rules

288×	`-lowering-.f32`
288×	`-lowering-.f64`
184×	`associate-l`
156×	`associate-r`
72×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	109
1	54	104
2	98	99
3	186	97
4	305	97
5	318	97
0	318	97

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* x (* x -6450306886639899/50000000000000000)) x)
(* x (* x -6450306886639899/50000000000000000))
x
(* x -6450306886639899/50000000000000000)
-6450306886639899/50000000000000000
(/ x 250000000000000/238732414637843)
x
250000000000000/238732414637843
(* (* x x) (* x -6450306886639899/50000000000000000))
(* x x)
x
(* x -6450306886639899/50000000000000000)
-6450306886639899/50000000000000000
(/ x (/ -50000000000000000/6450306886639899 (* x x)))
x
(/ -50000000000000000/6450306886639899 (* x x))
-50000000000000000/6450306886639899
(* x x)
(* x (/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
x
(/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))
(* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000))
(* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)
(* x (* x x))
(* x x)
-41606458931834106848498498730201/2500000000000000000000000000000000
(+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))
238732414637843/250000000000000
(* x (* x 6450306886639899/50000000000000000))
(* x 6450306886639899/50000000000000000)
6450306886639899/50000000000000000

Outputs
(* (* x (* x -6450306886639899/50000000000000000)) x)
(.f64 x (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
(* x (* x -6450306886639899/50000000000000000))
(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
x
(* x -6450306886639899/50000000000000000)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
-6450306886639899/50000000000000000
#s(literal -6450306886639899/50000000000000000 binary64)
(/ x 250000000000000/238732414637843)
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
x
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
(* (* x x) (* x -6450306886639899/50000000000000000))
(.f64 x (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
(* x x)
(*.f64 x x)
x
(* x -6450306886639899/50000000000000000)
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
-6450306886639899/50000000000000000
#s(literal -6450306886639899/50000000000000000 binary64)
(/ x (/ -50000000000000000/6450306886639899 (* x x)))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
x
(/ -50000000000000000/6450306886639899 (* x x))
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
-50000000000000000/6450306886639899
#s(literal -50000000000000000/6450306886639899 binary64)
(* x x)
(*.f64 x x)
(* x (/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
x
(/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-41606458931834106848498498730201/2500000000000000000000000000000000
#s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)
(+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(* x (* x 6450306886639899/50000000000000000))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(* x 6450306886639899/50000000000000000)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
6450306886639899/50000000000000000
#s(literal 6450306886639899/50000000000000000 binary64)

localize127.0ms (1.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x (*.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	accuracy	63.0%	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	accuracy	99.0%	(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.1%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))

Results

90.0ms

256×

valid

Compiler

Compiled 135 to 24 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

...c/correct-round.rkt:119:19: 30.0ms (48.9% of total)

ival-mult: 21.0ms (34.2% of total)

ival-div: 8.0ms (13% of total)

ival-add: 1.0ms (1.6% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* (* x (* x -6450306886639899/50000000000000000)) x)>
#<alt (* x (* x -6450306886639899/50000000000000000))>
#<alt (* x -6450306886639899/50000000000000000)>
#<alt (/ x 250000000000000/238732414637843)>
#<alt (* (* x x) (* x -6450306886639899/50000000000000000))>
#<alt (* x x)>
#<alt (/ x (/ -50000000000000000/6450306886639899 (* x x)))>
#<alt (/ -50000000000000000/6450306886639899 (* x x))>
#<alt (* x (/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))>
#<alt (/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))>
#<alt (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)>
#<alt (* x 6450306886639899/50000000000000000)>
#<alt (* x (* x 6450306886639899/50000000000000000))>

Outputs
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<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 (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
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#<alt (* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 4))>
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#<alt (* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))>
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#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
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#<alt (* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))>
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#<alt (* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))>
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#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
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#<alt (* 6450306886639899/50000000000000000 x)>
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#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>

Calls

42 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(/ x (/ -50000000000000000/6450306886639899 (* x x)))
0.0ms	x	@	0	(* x (/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
0.0ms	x	@	-inf	(* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)
0.0ms	x	@	0	(/ -50000000000000000/6450306886639899 (* x x))
0.0ms	x	@	inf	(* x (/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))

rewrite311.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
2138×	`/-lowering-/.f32`
2138×	`/-lowering-/.f64`
1970×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	100	76
2	526	72
3	4840	72
0	8511	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 605

Calls

Call 1

Inputs
(* (* x (* x -6450306886639899/50000000000000000)) x)
(* x (* x -6450306886639899/50000000000000000))
(* x -6450306886639899/50000000000000000)
(/ x 250000000000000/238732414637843)
(* (* x x) (* x -6450306886639899/50000000000000000))
(* x x)
(/ x (/ -50000000000000000/6450306886639899 (* x x)))
(/ -50000000000000000/6450306886639899 (* x x))
(* x (/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000)))))
(/ (* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)) (+ 238732414637843/250000000000000 (* x (* x 6450306886639899/50000000000000000))))
(* x (* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000))
(* (* x (* x x)) -41606458931834106848498498730201/2500000000000000000000000000000000)
(* x 6450306886639899/50000000000000000)
(* x (* x 6450306886639899/50000000000000000))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (.f64 x x))) (.f64 (*.f64 x x) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64))))
(neg.f64 (.f64 (.f64 x x) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))
(/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))
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(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -50000000000000000/6450306886639899 binary64))
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(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -50000000000000000/6450306886639899 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -6450306886639899/50000000000000000 binary64))
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(.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal 1 binary64)) (.f64 x x))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
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(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
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(/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 50000000000000000/6450306886639899 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 50000000000000000/6450306886639899 binary64))
(pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) #s(literal 1 binary64))
(*.f64 x (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))
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(*.f64 (neg.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) x)

simplify246.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2778×	`-lowering-.f32`
2778×	`-lowering-.f64`
1962×	`fma-lowering-fma.f32`
1962×	`fma-lowering-fma.f64`
1750×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	952
1	192	868
2	584	856
3	2146	830
4	6989	830
0	8323	830

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* -6450306886639899/50000000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 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)
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 5))
(* (pow x 5) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* (pow x 3) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))))))
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 4))
(* (pow x 4) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
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(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
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(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))

Outputs
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(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
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(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
(* 238732414637843/250000000000000 x)
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(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 5))
(.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 (*.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64))))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x (*.f64 x #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64)))))))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64) (.f64 x (*.f64 x #s(literal 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 binary64)))))))))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 3) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (*.f64 x x))))))))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (*.f64 x x))))))))))
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)))
(* (pow x 4) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 (.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x (.f64 x #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64))))))))
(* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64) (.f64 x (.f64 x #s(literal 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 binary64))))))))))))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))

eval134.0ms (1.9%)

Compiler: Compiled 14273 to 1448 computations (89.9% saved)

prune101.0ms (1.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	851	3	854
Fresh	1	0	1
Picked	1	4	5
Done	1	3	4
Total	854	10	864

Accuracy

100.0%

Counts

864 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	51.2%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	50.3%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
▶	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
▶	51.3%	(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))
▶	51.3%	(.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) x)
✓	51.3%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	18.8%	(.f64 x (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	50.6%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 90 to 62 computations (31.1% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
✓	cost-diff	128	(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) x)

Rules

88×	`-lowering-.f32`
88×	`-lowering-.f64`
78×	`/-lowering-/.f32`
78×	`/-lowering-/.f64`
44×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	31	42
2	46	39
3	67	39
4	90	39
5	118	39
6	137	39
7	166	39
8	172	39
0	172	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (* x x) -50000000000000000/6450306886639899) x)
(/ (* x x) -50000000000000000/6450306886639899)
(* x x)
x
-50000000000000000/6450306886639899
(/ -6450306886639899/50000000000000000 (/ (/ (/ 1 x) x) x))
-6450306886639899/50000000000000000
(/ (/ (/ 1 x) x) x)
(/ (/ 1 x) x)
(/ 1 x)
1
x
(/ 1 (/ 250000000000000/238732414637843 x))
1
(/ 250000000000000/238732414637843 x)
250000000000000/238732414637843
x

Outputs
(* (/ (* x x) -50000000000000000/6450306886639899) x)
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/ (* x x) -50000000000000000/6450306886639899)
(/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64))
(* x x)
(*.f64 x x)
x
-50000000000000000/6450306886639899
#s(literal -50000000000000000/6450306886639899 binary64)
(/ -6450306886639899/50000000000000000 (/ (/ (/ 1 x) x) x))
(.f64 x (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
-6450306886639899/50000000000000000
#s(literal -6450306886639899/50000000000000000 binary64)
(/ (/ (/ 1 x) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/ (/ 1 x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ 1 (/ 250000000000000/238732414637843 x))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
1
#s(literal 1 binary64)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
x

localize70.0ms (1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	accuracy	99.1%	(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.6%	(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) x)
✓	accuracy	99.7%	(/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64))

Results

54.0ms

256×

valid

Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 13.0ms (40.1% of total)

...c/correct-round.rkt:119:19: 12.0ms (37% of total)

ival-mult: 6.0ms (18.5% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (* (/ (* x x) -50000000000000000/6450306886639899) x)>
#<alt (/ (* x x) -50000000000000000/6450306886639899)>
#<alt (* x x)>
#<alt (/ -6450306886639899/50000000000000000 (/ (/ (/ 1 x) x) x))>
#<alt (/ (/ (/ 1 x) x) x)>
#<alt (/ (/ 1 x) x)>
#<alt (/ 1 x)>
#<alt (/ 1 (/ 250000000000000/238732414637843 x))>
#<alt (/ 250000000000000/238732414637843 x)>

Outputs
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (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 (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (/ 250000000000000/238732414637843 x)>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 250000000000000/238732414637843 x)
0.0ms	x	@	-inf	(/ 250000000000000/238732414637843 x)
0.0ms	x	@	-inf	(/ (/ (/ 1 x) x) x)
0.0ms	x	@	inf	(/ 250000000000000/238732414637843 x)

rewrite167.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`sum4-define`
1488×	`sum5-define`
1418×	`-lowering-.f32`
1418×	`-lowering-.f64`
894×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	79	30
2	410	30
3	1840	30
4	6846	30
0	8560	30

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 518

Calls

Call 1

Inputs
(* (/ (* x x) -50000000000000000/6450306886639899) x)
(/ (* x x) -50000000000000000/6450306886639899)
(* x x)
(/ -6450306886639899/50000000000000000 (/ (/ (/ 1 x) x) x))
(/ (/ (/ 1 x) x) x)
(/ (/ 1 x) x)
(/ 1 x)
(/ 1 (/ 250000000000000/238732414637843 x))
(/ 250000000000000/238732414637843 x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (*.f64 x x))))))
(exp.f64 (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))) (log.f64 x)))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(neg.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))
(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64))
(/.f64 (.f64 x (.f64 x x)) #s(literal 50000000000000000/6450306886639899 binary64))
(/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(pow.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (*.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)))
(.f64 (.f64 x x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal 1 binary64))
(.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) x)
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (sqrt.f64 x) (/.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 x) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (*.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
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simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

34×	`-lowering-.f32`
34×	`-lowering-.f64`
14×	`/-lowering-/.f32`
14×	`/-lowering-/.f64`
10×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	408
1	27	372
2	40	372
3	46	372
0	46	372

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

Inputs
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (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)
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(* 238732414637843/250000000000000 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)
(/ 250000000000000/238732414637843 x)

Outputs
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) 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)
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(* 238732414637843/250000000000000 x)
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)

eval75.0ms (1.1%)

Compiler: Compiled 7065 to 1219 computations (82.7% saved)

prune72.0ms (1%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	623	3	626
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	623	13	636

Accuracy

100.0%

Counts

636 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	51.2%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	50.3%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
	50.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 250000000000000/238732414637843 binary64)))
✓	51.3%	(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))
	5.2%	(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
✓	51.3%	(.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) x)
✓	51.3%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	18.8%	(.f64 x (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	50.6%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
	5.2%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Compiler

Compiled 292 to 145 computations (50.3% saved)

regimes13.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
(.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 250000000000000/238732414637843 binary64)))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
(.f64 x (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 x (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))))

Outputs
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))

Calls

2 calls:

6.0ms	x
6.0ms	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes7.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
(.f64 (/.f64 (.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 250000000000000/238732414637843 binary64)))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))

Outputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))

Outputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))

Outputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Outputs
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
5.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.4621456603420187	27995.543977815585

Results

13.0ms

128×

valid

Compiler

Compiled 128 to 91 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

...c/correct-round.rkt:119:19: 5.0ms (51.8% of total)

ival-mult: 4.0ms (41.5% of total)

ival-sub: 1.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.4621456603420187	27995.543977815585

Results

13.0ms

128×

valid

Compiler

Compiled 128 to 91 computations (28.9% saved)

Precisions

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

ival-mult: 4.0ms (45.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (45.1% of total)

ival-sub: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.4621456603420187	27995.543977815585

Results

14.0ms

128×

valid

Compiler

Compiled 96 to 75 computations (21.9% saved)

Precisions

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

ival-mult: 4.0ms (45.7% of total)

...c/correct-round.rkt:119:19: 4.0ms (45.7% of total)

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

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	28	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x #s(literal -238732414637843/250000000000000 binary64)))
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Outputs
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x #s(literal -238732414637843/250000000000000 binary64)))
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

soundness2.0s (28.6%)

Rules

4238×	`-lowering-.f32`
4238×	`-lowering-.f64`
3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
3358×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	490
1	63	422
2	157	422
3	472	422
4	1516	422
5	4238	422
0	9570	422
0	13	40
1	72	37
2	529	37
3	6721	37
0	8066	37
0	30	99
1	154	87
2	1127	87
0	8784	87
0	14	35
1	79	30
2	410	30
3	1840	30
4	6846	30
0	8560	30
0	76	1238
1	193	1057
2	531	1049
3	1445	1049
4	3657	1049
5	7322	1049
0	8487	1049
0	23	80
1	100	76
2	526	72
3	4840	72
0	8511	72
0	8	9
1	22	8
2	57	8
3	138	7
4	222	7
5	331	7
6	588	7
7	876	7
8	1235	7
9	2581	7
10	2665	7
0	2665	7

Stop Event

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

Compiler

Compiled 219 to 139 computations (36.5% saved)

preprocess38.0ms (0.5%)

Remove: (negabs x)
Compiler: Compiled 166 to 82 computations (50.6% saved)

analyze0.0ms (0%)

sample1.1s (16%)

preprocess109.0ms (1.6%)

explain120.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.8%)

localize102.0ms (1.4%)

series7.0ms (0.1%)

rewrite329.0ms (4.7%)

simplify113.0ms (1.6%)

eval73.0ms (1%)

prune65.0ms (0.9%)

simplify245.0ms (3.5%)

localize154.0ms (2.2%)

series10.0ms (0.1%)

rewrite476.0ms (6.7%)

simplify251.0ms (3.6%)

eval185.0ms (2.6%)

prune94.0ms (1.3%)

simplify15.0ms (0.2%)

localize127.0ms (1.8%)

series23.0ms (0.3%)

rewrite311.0ms (4.4%)

simplify246.0ms (3.5%)

eval134.0ms (1.9%)

prune101.0ms (1.4%)

simplify11.0ms (0.2%)

localize70.0ms (1%)

series4.0ms (0.1%)

rewrite167.0ms (2.4%)

simplify29.0ms (0.4%)

eval75.0ms (1.1%)

prune72.0ms (1%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch19.0ms (0.3%)

bsearch19.0ms (0.3%)

bsearch20.0ms (0.3%)

simplify9.0ms (0.1%)

soundness2.0s (28.6%)

preprocess38.0ms (0.5%)

end0.0ms (0%)

Profiling