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)

sample1.2s (18.1%)

Results

973.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 628.0ms

...c/correct-round.rkt:119:19: 323.0ms (51.4% of total)

ival-mult: 253.0ms (40.3% of total)

ival-sub: 41.0ms (6.5% of total)

const: 8.0ms (1.3% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess103.0ms (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)

explain109.0ms (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

72.0ms

512×

valid

Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

...c/correct-round.rkt:119:19: 21.0ms (55.8% of total)

ival-mult: 13.0ms (34.6% of total)

ival-sub: 3.0ms (8% of total)

const: 1.0ms (2.7% 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
▶	99.8%	(-.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

▶

99.8%

(-.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)

simplify89.0ms (1.4%)

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)

localize77.0ms (1.2%)

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 #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)))

Results

61.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (49.9% of total)

...c/correct-round.rkt:119:19: 13.0ms (43.2% of total)

ival-sub: 1.0ms (3.3% of total)

ival-add: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

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

series9.0ms (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)))

rewrite359.0ms (5.5%)

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)))

simplify111.0ms (1.7%)

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))

eval71.0ms (1.1%)

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

prune53.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	513	5	518
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	513	7	520

Accuracy

100.0%

Counts

520 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
▶	70.7%	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
▶	99.2%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
▶	52.1%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
▶	49.7%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 146 to 101 computations (30.8% saved)

simplify335.0ms (5.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))
✓	cost-diff	128	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 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	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.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) (.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)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))

Rules

5820×	`-lowering-.f32`
5820×	`-lowering-.f64`
2396×	`+-lowering-+.f64`
2396×	`+-lowering-+.f32`
2390×	`distribute-lft-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	27	179
1	69	163
2	148	155
3	244	155
4	319	155
5	400	155
6	557	155
7	1051	154
8	1324	154
9	1547	154
10	2614	154
11	4067	154
12	4399	154
13	4949	154
14	5740	154
15	6115	154
16	6345	154
0	8705	154

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize245.0ms (3.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	accuracy	62.4%	(/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))
✓	accuracy	99.8%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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	99.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.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	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	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))

Results

196.0ms

256×

valid

Compiler

Compiled 223 to 28 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 63.0ms (58.1% of total)

...c/correct-round.rkt:119:19: 32.0ms (29.5% of total)

ival-div: 9.0ms (8.3% of total)

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

const: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Counts

18 → 216

Calls

Call 1

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

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 (/ 250000000000000/238732414637843 x)>
#<alt (/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x)>
#<alt (/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x)>
#<alt (/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x)>
#<alt (/ -50000000000000000/6450306886639899 (pow x 3))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3))>
#<alt (/ -50000000000000000/6450306886639899 (pow x 3))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3)))>
#<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 (* 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>
#<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 (* 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 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 (- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)>
#<alt (- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)>
#<alt (- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (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 (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<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 (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))>

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* x (* -6450306886639899/50000000000000000 (* x x)))
1.0ms	x	@	inf	(* x (* x (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000)))
1.0ms	x	@	inf	(* x (/ (+ (* x (* x (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000))) -56993165798814994692847692649/62500000000000000000000000000) (+ (* x (* x -6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
1.0ms	x	@	0	(* x (/ (+ (* x (* x (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000))) -56993165798814994692847692649/62500000000000000000000000000) (+ (* x (* x -6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
0.0ms	x	@	-inf	(/ 1 (* x (+ 238732414637843/250000000000000 (* x (* x -6450306886639899/50000000000000000)))))

rewrite527.0ms (8%)

Algorithm

1×	batch-egg-rewrite

Rules

3862×	`-lowering-.f32`
3862×	`-lowering-.f64`
3256×	`/-lowering-/.f32`
3256×	`/-lowering-/.f64`
1334×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	111
1	145	96
2	943	95
0	8535	95

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1423

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))) (.f64 x #s(literal 238732414637843/250000000000000 binary64)))
(+.f64 (neg.f64 (.f64 x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal -238732414637843/250000000000000 binary64))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 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 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 x (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) #s(literal 238732414637843/250000000000000 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -238732414637843/250000000000000 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -238732414637843/250000000000000 binary64)))
(exp.f64 (log.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(fma.f64 x #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))
(fma.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 x x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))
(fma.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) x (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))
(fma.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) #s(literal 1 binary64) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))
(neg.f64 (.f64 x (+.f64 #s(literal -238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal -238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (.f64 (.f64 x #s(literal -238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))))) (+.f64 (.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal -238732414637843/250000000000000 binary64)))) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal -238732414637843/250000000000000 binary64)))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)) x)))
(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
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(.f64 (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) #s(literal -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64))) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) #s(literal -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64))) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 binary64))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64))) #s(literal -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64))))
(.f64 (-.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64))) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64))) #s(literal -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))))
(.f64 (-.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(pow.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))
(.f64 x (.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
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(.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) x)
(.f64 (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(.f64 (.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
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(.f64 (pow.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
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(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x)
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(.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))
(pow.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) x)
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(.f64 (.f64 x x) (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) x)
(.f64 (.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))

simplify297.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2360×	`-lowering-.f32`
2360×	`-lowering-.f64`
1802×	`fma-lowering-fma.f32`
1802×	`fma-lowering-fma.f64`
1700×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1419
1	246	1186
2	745	1172
3	2145	1171
4	5664	1171
0	8143	1171

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))))))
(/ 250000000000000/238732414637843 x)
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x)
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x)
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x)
(/ -50000000000000000/6450306886639899 (pow x 3))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3))
(/ -50000000000000000/6450306886639899 (pow x 3))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3)))
(* 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))
(* 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
(+ 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))
(* 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 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
(- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)
(- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)
(- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (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))
(* -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))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(* 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))

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 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(/ 250000000000000/238732414637843 x)
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 (.f64 x x) #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64))) x)
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64) (.f64 (.f64 x x) #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64))))) x)
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 x (.f64 x (+.f64 #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64) (.f64 x (.f64 x (+.f64 #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64) (.f64 (.f64 x x) #s(literal 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 binary64))))))))) x)
(/ -50000000000000000/6450306886639899 (pow x 3))
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3))
(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 (+.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ -50000000000000000/6450306886639899 (pow x 3))
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3)))
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(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) (.f64 x x))
(* 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 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
-56993165798814994692847692649/62500000000000000000000000000
#s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)
(- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(- (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)) 56993165798814994692847692649/62500000000000000000000000000)
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))
(* (pow x 4) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 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)))
(* 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 (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)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))

eval247.0ms (3.8%)

Compiler: Compiled 65845 to 3248 computations (95.1% saved)

prune228.0ms (3.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1853	6	1859
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1856	10	1866

Accuracy

100.0%

Counts

1866 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
▶	52.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
▶	52.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
▶	52.5%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (*.f64 x x))))
	52.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
▶	49.3%	(*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	52.1%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	49.7%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 142 to 97 computations (31.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	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 x (/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64))
✓	cost-diff	0	(+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x))
✓	cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (*.f64 x x))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x)))

Rules

102×	`-lowering-.f32`
102×	`-lowering-.f64`
52×	`associate-r`
46×	`/-lowering-/.f32`
46×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	87
1	48	86
2	72	84
3	135	84
4	135	84
0	135	84

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))))
x
(/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x)))
1
(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))
(+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))
-50000000000000000/6450306886639899
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))
-2387324146378430000000000000000000/41606458931834106848498498730201
(* x x)
(* x (/ 1 250000000000000/238732414637843))
x
(/ 1 250000000000000/238732414637843)
1
250000000000000/238732414637843
(/ 1 (/ 250000000000000/238732414637843 x))
1
(/ 250000000000000/238732414637843 x)
250000000000000/238732414637843
x
(* (* x x) (* x -6450306886639899/50000000000000000))
(* x x)
x
(* x -6450306886639899/50000000000000000)
-6450306886639899/50000000000000000
(* (* x (* x x)) -6450306886639899/50000000000000000)
(* x (* x x))
x
(* x x)
-6450306886639899/50000000000000000

Outputs
(* x (/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))))
x
(/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x)))
(/.f64 (.f64 x x) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))))
1
#s(literal 1 binary64)
(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x))
(+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))
(+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))
-50000000000000000/6450306886639899
#s(literal -50000000000000000/6450306886639899 binary64)
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))
(/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))
-2387324146378430000000000000000000/41606458931834106848498498730201
#s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64)
(* x x)
(*.f64 x x)
(* x (/ 1 250000000000000/238732414637843))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
x
(/ 1 250000000000000/238732414637843)
#s(literal 238732414637843/250000000000000 binary64)
1
#s(literal 1 binary64)
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
(/ 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
(* (* x x) (* x -6450306886639899/50000000000000000))
(.f64 x (.f64 (*.f64 x 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 (* x x)) -6450306886639899/50000000000000000)
(.f64 x (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
-6450306886639899/50000000000000000
#s(literal -6450306886639899/50000000000000000 binary64)

localize130.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.9%	(.f64 x (.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	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	accuracy	99.0%	(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
✓	accuracy	99.8%	(*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64))
✓	accuracy	99.9%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (*.f64 x x))))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x)))
✓	accuracy	99.6%	(/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))

Results

99.0ms

256×

valid

Compiler

Compiled 114 to 21 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

...c/correct-round.rkt:119:19: 19.0ms (41% of total)

ival-mult: 15.0ms (32.4% of total)

ival-div: 11.0ms (23.7% of total)

ival-add: 1.0ms (2.2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

14 → 156

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x)))>
#<alt (* x (/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))))>
#<alt (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))>
#<alt (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))>
#<alt (/ 1 250000000000000/238732414637843)>
#<alt (* x (/ 1 250000000000000/238732414637843))>
#<alt (/ 1 (/ 250000000000000/238732414637843 x))>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (* (* x x) (* x -6450306886639899/50000000000000000))>
#<alt (* x x)>
#<alt (* x -6450306886639899/50000000000000000)>
#<alt (* (* x (* x x)) -6450306886639899/50000000000000000)>
#<alt (* x (* x x))>
#<alt (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))>

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

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))
0.0ms	x	@	0	(/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x)))
0.0ms	x	@	inf	(/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x)))
0.0ms	x	@	0	(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))
0.0ms	x	@	-inf	(* x (/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))))

rewrite362.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2934×	`-lowering-.f32`
2934×	`-lowering-.f64`
2512×	`/-lowering-/.f32`
2512×	`/-lowering-/.f64`
1400×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	68
1	100	67
2	584	66
3	5333	66
0	8465	66

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 514

Calls

Call 1

Inputs
(/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x)))
(* x (/ 1 (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))))
(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) (* x x))
(+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))
(/ 1 250000000000000/238732414637843)
(* x (/ 1 250000000000000/238732414637843))
(/ 1 (/ 250000000000000/238732414637843 x))
(/ 250000000000000/238732414637843 x)
(* (* x x) (* x -6450306886639899/50000000000000000))
(* x x)
(* x -6450306886639899/50000000000000000)
(* (* x (* x x)) -6450306886639899/50000000000000000)
(* x (* x x))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))

Outputs
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x))))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x))) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (.f64 x x)))) #s(literal -50000000000000000/6450306886639899 binary64)) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))))
(+.f64 (.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(+.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(+.f64 (.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (.f64 x x))))) (.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)) (/.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (*.f64 x x))))))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) x) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) (/.f64 (.f64 x x) (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x))
(/.f64 x (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x))
(/.f64 (.f64 x x) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 x (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)))))
(/.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)))) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 x (.f64 x (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))))) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)))))) (+.f64 #s(literal 6250000000000000000000000000000000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (-.f64 #s(literal 6250000000000000000000000000000000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x))))) (-.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) #s(literal 119366207318921500000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (.f64 x x))))
(/.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (.f64 x x)))) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (.f64 x x)))) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))))
(/.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (/.f64 (/.f64 #s(literal -5699316579881499469284769264900000000000000000000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107000000000000000000000000000000000000000000000000000000000/72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64) (.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))))))
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(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -250000000000000/238732414637843 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) #s(literal -1 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -250000000000000/238732414637843 binary64) x))
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(pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(*.f64 #s(literal 250000000000000/238732414637843 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -250000000000000/238732414637843 binary64) x))
(*.f64 (/.f64 #s(literal -250000000000000/238732414637843 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -250000000000000/238732414637843 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -250000000000000/238732414637843 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -250000000000000/238732414637843 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 250000000000000/238732414637843 binary64))
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(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x x) (*.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)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x 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 #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 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
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(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
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(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x x) (*.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)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x 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 #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 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))
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(/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)) #s(literal 1 binary64))
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(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64)))
(/.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) x)
(/.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))
(.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)) #s(literal 1 binary64))
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(.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x))
(*.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) #s(literal -1/2 binary64)))

simplify250.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2948×	`-lowering-.f32`
2948×	`-lowering-.f64`
2064×	`fma-lowering-fma.f32`
2064×	`fma-lowering-fma.f64`
1840×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	926
1	225	836
2	666	806
3	2356	780
4	7560	780
0	8418	780

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -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)))))
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (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)))))))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 4))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 4))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 4))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 4))
(/ -50000000000000000/6450306886639899 (pow x 2))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 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 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 2))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 2))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 2))
-50000000000000000/6450306886639899
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
-50000000000000000/6450306886639899
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 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)
(* 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)
(* -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 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 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)
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))

Outputs
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x x))))
(* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 binary64))))))))))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #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 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (+.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #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 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (+.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (.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 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64)))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(.f64 (+.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 binary64)))))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #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 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (+.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #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)))))))
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eval95.0ms (1.5%)

Compiler: Compiled 14135 to 1786 computations (87.4% saved)

prune97.0ms (1.5%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	760	3	763
Fresh	0	1	1
Picked	1	4	5
Done	0	4	4
Total	761	12	773

Accuracy

100.0%

Counts

773 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) x))
▶	49.3%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
▶	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64))))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
✓	52.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	52.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
▶	52.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
✓	49.3%	(*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	52.1%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	49.7%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 98 to 67 computations (31.6% saved)

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) x))
✓	cost-diff	0	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
✓	cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))

Rules

328×	`-lowering-.f32`
328×	`-lowering-.f64`
250×	`/-lowering-/.f32`
250×	`/-lowering-/.f64`
188×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	41	70
2	73	70
3	151	68
4	201	68
5	323	68
6	420	68
7	492	68
8	632	68
9	715	68
10	738	68
11	744	68
12	747	68
0	747	68

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (/ 1 (/ -50000000000000000/6450306886639899 (* x x))))
x
(/ 1 (/ -50000000000000000/6450306886639899 (* x x)))
1
(/ -50000000000000000/6450306886639899 (* x x))
-50000000000000000/6450306886639899
(* x x)
(/ 1 (/ 1 (/ x 250000000000000/238732414637843)))
1
(/ 1 (/ x 250000000000000/238732414637843))
(/ x 250000000000000/238732414637843)
x
250000000000000/238732414637843
(/ x 250000000000000/238732414637843)
x
250000000000000/238732414637843
(/ (* x x) (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x))
(* x x)
x
(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x)
(+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))
-50000000000000000/6450306886639899
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))
-2387324146378430000000000000000000/41606458931834106848498498730201

Outputs
(* x (/ 1 (/ -50000000000000000/6450306886639899 (* x x))))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
x
(/ 1 (/ -50000000000000000/6450306886639899 (* x x)))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))
1
#s(literal 1 binary64)
(/ -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)
(/ 1 (/ 1 (/ x 250000000000000/238732414637843)))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
1
#s(literal 1 binary64)
(/ 1 (/ x 250000000000000/238732414637843))
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(/ x 250000000000000/238732414637843)
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
x
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
(/ x 250000000000000/238732414637843)
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
x
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
(/ (* x x) (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))))
(* x x)
(*.f64 x x)
x
(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x)
(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x)
(+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))
(+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))
-50000000000000000/6450306886639899
#s(literal -50000000000000000/6450306886639899 binary64)
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))
(/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))
-2387324146378430000000000000000000/41606458931834106848498498730201
#s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64)

localize127.0ms (1.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) x))
✓	accuracy	99.6%	(/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x)
✓	accuracy	99.0%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64))))
✓	accuracy	99.0%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
✓	accuracy	99.7%	(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))

Results

90.0ms

256×

valid

Compiler

Compiled 92 to 17 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 17.0ms (45.4% of total)

...c/correct-round.rkt:119:19: 14.0ms (37.4% of total)

ival-mult: 4.0ms (10.7% of total)

ival-add: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/ 1 (/ -50000000000000000/6450306886639899 (* x x)))>
#<alt (* x (/ 1 (/ -50000000000000000/6450306886639899 (* x x))))>
#<alt (/ -50000000000000000/6450306886639899 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (/ 1 (/ x 250000000000000/238732414637843)))>
#<alt (/ 1 (/ x 250000000000000/238732414637843))>
#<alt (/ x 250000000000000/238732414637843)>
#<alt (/ (* x x) (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x))>
#<alt (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x)>
#<alt (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))>
#<alt (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))>

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

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ -50000000000000000/6450306886639899 (* x x))
0.0ms	x	@	0	(/ 1 (/ 1 (/ x 250000000000000/238732414637843)))
0.0ms	x	@	0	(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x)
0.0ms	x	@	-inf	(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x)
0.0ms	x	@	inf	(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x)

rewrite290.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3190×	`-lowering-.f32`
3190×	`-lowering-.f64`
2744×	`/-lowering-/.f32`
2744×	`/-lowering-/.f64`
1344×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	113	54
2	697	52
3	5904	52
0	8364	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 520

Calls

Call 1

Inputs
(/ 1 (/ -50000000000000000/6450306886639899 (* x x)))
(* x (/ 1 (/ -50000000000000000/6450306886639899 (* x x))))
(/ -50000000000000000/6450306886639899 (* x x))
(* x x)
(/ 1 (/ 1 (/ x 250000000000000/238732414637843)))
(/ 1 (/ x 250000000000000/238732414637843))
(/ x 250000000000000/238732414637843)
(/ (* x x) (/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x))
(/ (+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))) x)
(+ -50000000000000000/6450306886639899 (/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x)))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (* x x))

Outputs
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))
(/.f64 (*.f64 x x) #s(literal -50000000000000000/6450306886639899 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.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 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(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))
(pow.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.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) x)))
(*.f64 x (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))
(*.f64 x (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(*.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x)
(.f64 (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (-.f64 #s(literal 0 binary64) 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))))
(neg.f64 (.f64 (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)) x))
(neg.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64))))
(neg.f64 (.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) (.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))))
(/.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 -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.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 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -50000000000000000/6450306886639899 binary64))
(/.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) x) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(*.f64 x (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))
(.f64 (.f64 x x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (.f64 x x))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) x)
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.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)) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal 1 binary64))
(.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 x (/.f64 #s(literal -1 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 1 binary64) (.f64 x x))) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal 1 binary64)) (.f64 x x))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 x #s(literal 50000000000000000/6450306886639899 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 50000000000000000/6450306886639899 binary64)))
(/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))
(/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) x)
(/.f64 (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) x) #s(literal -1 binary64)) x)
(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 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))
(.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.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 x)))
(.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 #s(literal 50000000000000000/6450306886639899 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))
(*.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 50000000000000000/6450306886639899 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 50000000000000000/6450306886639899 binary64))
(.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (log.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -250000000000000/238732414637843 binary64)))
(neg.f64 (/.f64 x #s(literal -250000000000000/238732414637843 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(/.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -250000000000000/238732414637843 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -250000000000000/238732414637843 binary64))
(/.f64 (/.f64 x #s(literal -250000000000000/238732414637843 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -250000000000000/238732414637843 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -250000000000000/238732414637843 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))
(.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))
(.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x))
(*.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) x)) #s(literal -1/2 binary64)))

simplify250.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2984×	`-lowering-.f32`
2984×	`-lowering-.f64`
1574×	`sum5-define`
1370×	`+-lowering-+.f64`
1370×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	746
1	210	656
2	630	623
3	2202	623
4	7466	623
0	8248	623

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* -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 (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))
(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)
(* 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)
(* 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)
(* -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)))))))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 3))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 3))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 3))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 3))
(/ -50000000000000000/6450306886639899 x)
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) x))
(/ -50000000000000000/6450306886639899 x)
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) x))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 2))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 2))
(/ (- (* -50000000000000000/6450306886639899 (pow x 2)) 2387324146378430000000000000000000/41606458931834106848498498730201) (pow x 2))
-50000000000000000/6450306886639899
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
-50000000000000000/6450306886639899
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(* -1 (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))
(/ -2387324146378430000000000000000000/41606458931834106848498498730201 (pow x 2))

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

eval91.0ms (1.4%)

Compiler: Compiled 12118 to 1587 computations (86.9% saved)

prune76.0ms (1.2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	765	2	767
Fresh	0	0	0
Picked	2	2	4
Done	1	7	8
Total	768	11	779

Accuracy

100.0%

Counts

779 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -250000000000000/238732414637843 binary64))
✓	52.5%	(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) x))
✓	49.3%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
✓	52.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	52.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	49.3%	(*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
	52.0%	(.f64 x (.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x))
✓	49.7%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 251 to 124 computations (50.6% saved)

regimes11.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 x (.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -250000000000000/238732414637843 binary64))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 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 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))
(/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) x))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (*.f64 x x))))
(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))

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

Calls

2 calls:

5.0ms	x
5.0ms	(-.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)

regimes10.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 250000000000000/238732414637843 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 x (.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) x))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -250000000000000/238732414637843 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
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.4b remaining (-1.1%)

Threshold costs -0.4b (-1.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
49.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch24.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.2103990395837493e-7	943.0873923284815

Results

16.0ms

144×

valid

Compiler

Compiled 142 to 101 computations (28.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (52.7% of total)

ival-mult: 4.0ms (42.1% of total)

ival-sub: 1.0ms (10.5% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	33	37
2	45	37
3	57	37
4	67	37
5	72	37
6	74	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Outputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #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 x (.f64 x x))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)

soundness547.0ms (8.3%)

Rules

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

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	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

Compiler

Compiled 94 to 57 computations (39.4% saved)

preprocess59.0ms (0.9%)

Remove: (negabs x)
Compiler: Compiled 196 to 116 computations (40.8% saved)

Iter	Nodes	Cost
0	16	71
1	41	70
2	73	70
3	151	68
4	201	68
5	323	68
6	420	68
7	492	68
8	632	68
9	715	68
10	738	68
11	744	68
12	747	68
0	747	68

Iter	Nodes	Cost
0	16	71
1	41	70
2	73	70
3	151	68
4	201	68
5	323	68
6	420	68
7	492	68
8	632	68
9	715	68
10	738	68
11	744	68
12	747	68
0	747	68

analyze0.0ms (0%)

sample1.2s (18.1%)

preprocess103.0ms (1.6%)

explain109.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (1.4%)

localize77.0ms (1.2%)

series9.0ms (0.1%)

rewrite359.0ms (5.5%)

simplify111.0ms (1.7%)

eval71.0ms (1.1%)

prune53.0ms (0.8%)

simplify335.0ms (5.1%)

localize245.0ms (3.7%)

series16.0ms (0.2%)

rewrite527.0ms (8%)

simplify297.0ms (4.5%)

eval247.0ms (3.8%)

prune228.0ms (3.5%)

simplify11.0ms (0.2%)

localize130.0ms (2%)

series6.0ms (0.1%)

rewrite362.0ms (5.5%)

simplify250.0ms (3.8%)

eval95.0ms (1.5%)

prune97.0ms (1.5%)

simplify37.0ms (0.6%)

localize127.0ms (1.9%)

series4.0ms (0.1%)

rewrite290.0ms (4.4%)

simplify250.0ms (3.8%)

eval91.0ms (1.4%)

prune76.0ms (1.2%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

bsearch24.0ms (0.4%)

simplify9.0ms (0.1%)

soundness547.0ms (8.3%)

preprocess59.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	71
1	41	70
2	73	70
3	151	68
4	201	68
5	323	68
6	420	68
7	492	68
8	632	68
9	715	68
10	738	68
11	744	68
12	747	68
0	747	68