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 (13.7%)

Results

903.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 707.0ms

ival-mult: 346.0ms (49% of total)

...c/correct-round.rkt:119:19: 306.0ms (43.3% of total)

ival-sub: 45.0ms (6.4% of total)

const: 7.0ms (1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess84.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	53	24
2	190	24
3	545	24
4	1096	24
5	1711	24
6	2055	24
0	8	10
1	21	8
2	56	8
3	136	8
4	220	8
5	329	8
6	586	8
7	874	8
8	1232	8
9	2577	8
10	2661	8
0	2661	8

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)))
(fnmsub x -238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 3)))
(- (* 238732414637843/250000000000000 (neg x)) (* 6450306886639899/50000000000000000 (* (* (neg x) (neg x)) (neg x))))
(fnmsub -6450306886639899/50000000000000000 (pow x 3) (* 238732414637843/250000000000000 x))
(neg (- (* 238732414637843/250000000000000 (neg x)) (* 6450306886639899/50000000000000000 (* (* (neg x) (neg x)) (neg x)))))
(fnmsub x -238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (pow x 3)))

Symmetry

(negabs x)

explain101.0ms (1.2%)

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

57.0ms

512×

valid

Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions

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

ival-mult: 17.0ms (45.6% of total)

...c/correct-round.rkt:119:19: 17.0ms (45.6% of total)

ival-sub: 2.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune2.0ms (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)

simplify49.0ms (0.6%)

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	57
1	35	50
2	78	50
3	151	50
4	231	50
5	339	50
6	596	50
7	885	50
8	1239	50
9	2584	50
10	2668	50
0	2668	50

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

localize88.0ms (1%)

Localize:

Found 8 expressions of interest:

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

Results

49.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 16.0ms (51% of total)

...c/correct-round.rkt:119:19: 12.0ms (38.2% of total)

ival-sub: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Counts

9 → 108

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)>
#<alt (* 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)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

27 calls:

Time	Variable		Point	Expression
12.0ms	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	@	inf	(* 6450306886639899/50000000000000000 (* (* x x) x))

rewrite347.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4262×	`-lowering-.f32`
4262×	`-lowering-.f64`
1782×	`+-lowering-+.f64`
1782×	`+-lowering-+.f32`
1746×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	71	44
2	526	44
3	6664	44
0	8486	44

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 424

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)
(* x x)

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

simplify112.0ms (1.3%)

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	526
1	63	499
2	156	499
3	468	499
4	1511	499
5	4231	499
0	9556	499

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* 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 #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 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 #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 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 #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 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 #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 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 #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 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 #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 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 #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 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 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 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.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))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.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))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.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))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.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))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.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))))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 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))
(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)

eval93.0ms (1.1%)

Compiler: Compiled 18607 to 754 computations (95.9% saved)

prune43.0ms (0.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	523	9	532
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	523	11	534

Accuracy

100.0%

Counts

534 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.9%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) x) (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal -238732414637843/250000000000000 binary64)))
	99.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))))
	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))))
▶	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x 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)))
▶	99.8%	(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x)
▶	68.5%	(.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x)))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
	54.4%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
▶	47.0%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 262 to 177 computations (32.4% saved)

simplify256.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 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 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))))
✓	cost-diff	128	(.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x)))))
✓	cost-diff	0	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))))
✓	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 238732414637843/250000000000000 binary64) x)
✓	cost-diff	128	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x)

Rules

2728×	`fma-define`
2058×	`fma-lowering-fma.f32`
2058×	`fma-lowering-fma.f64`
1726×	`-lowering-.f32`
1726×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	203
1	82	180
2	222	177
3	517	169
4	1195	169
5	2741	169
6	5859	169
0	8153	169

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize189.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.2%	(.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))))
✓	accuracy	70.5%	(.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x)))))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))))
✓	accuracy	99.4%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) 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	99.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x)
✓	accuracy	99.4%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))

Results

127.0ms

256×

valid

Compiler

Compiled 214 to 29 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

...c/correct-round.rkt:119:19: 36.0ms (51.1% of total)

ival-mult: 24.0ms (34.1% of total)

ival-div: 5.0ms (7.1% of total)

ival-sub: 3.0ms (4.3% of total)

ival-add: 2.0ms (2.8% of total)

const: 1.0ms (1.4% of total)

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

series14.0ms (0.2%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x))) x)>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x)))>
#<alt (* -6450306886639899/50000000000000000 (* x x))>
#<alt (* x x)>
#<alt (* x 238732414637843/250000000000000)>
#<alt (- (* 238732414637843/250000000000000 x) (* (* x x) (* x 6450306886639899/50000000000000000)))>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* (* x x) (* x 6450306886639899/50000000000000000))>
#<alt (/ 1 (/ 1 (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x))))))>
#<alt (/ 1 (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x)))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x))))>
#<alt (* (* x (- 56993165798814994692847692649/62500000000000000000000000000 (* x (* x (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (/ 1 (+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (* x x)))))>
#<alt (* x (- 56993165798814994692847692649/62500000000000000000000000000 (* x (* x (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000)))))>
#<alt (- 56993165798814994692847692649/62500000000000000000000000000 (* x (* x (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000))))>
#<alt (* x (* x (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000)))>
#<alt (* x 6450306886639899/50000000000000000)>
#<alt (/ 1 (+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (* x x))))>
#<alt (* (* x x) 41606458931834106848498498730201/2500000000000000000000000000000000)>
#<alt (* 6450306886639899/50000000000000000 (* 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 (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 (* 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 (* 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 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 (* 56993165798814994692847692649/62500000000000000000000000000 x)>
#<alt (* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))>
#<alt (* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))>
#<alt (* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 5))>
#<alt (* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))>
#<alt 56993165798814994692847692649/62500000000000000000000000000>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt (* 6450306886639899/50000000000000000 x)>
#<alt 250000000000000/238732414637843>
#<alt (+ 250000000000000/238732414637843 (* -8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (- (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)) 8062883608299873750000000000/56993165798814994692847692649)))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (- (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))) 8062883608299873750000000000/56993165798814994692847692649)))>
#<alt (/ 50000000000000000/6450306886639899 (pow x 2))>
#<alt (/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 50000000000000000/6450306886639899 (pow x 2))>
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#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (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 (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>

Calls

57 calls:

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

rewrite613.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4472×	`-lowering-.f32`
4472×	`-lowering-.f64`
3348×	`/-lowering-/.f32`
3348×	`/-lowering-/.f64`
1992×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	137
1	161	121
2	1253	113
0	8876	113

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1841

Calls

Call 1

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

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

simplify266.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3172×	`-lowering-.f32`
3172×	`-lowering-.f64`
1638×	`sum4-define`
1608×	`/-lowering-/.f32`
1608×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1472
1	331	1381
2	976	1375
3	2857	1374
4	6999	1374
0	8171	1374

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
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))
(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)
(* 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))
(* 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 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))))))
(* 56993165798814994692847692649/62500000000000000000000000000 x)
(* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))
(* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))
(* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 5))
(* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 5))
(* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))
56993165798814994692847692649/62500000000000000000000000000
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
(* 6450306886639899/50000000000000000 x)
250000000000000/238732414637843
(+ 250000000000000/238732414637843 (* -8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))
(+ 250000000000000/238732414637843 (* (pow x 2) (- (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)) 8062883608299873750000000000/56993165798814994692847692649)))
(+ 250000000000000/238732414637843 (* (pow x 2) (- (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))) 8062883608299873750000000000/56993165798814994692847692649)))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (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))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))

Outputs
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 238732414637843/250000000000000 x)
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
(* 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)
(* 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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #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 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(* 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))))
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(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(* 6450306886639899/50000000000000000 x)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
(+ 250000000000000/238732414637843 (* -8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))
(+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 (.f64 x x) #s(literal -8062883608299873750000000000/56993165798814994692847692649 binary64)))
(+ 250000000000000/238732414637843 (* (pow x 2) (- (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)) 8062883608299873750000000000/56993165798814994692847692649)))
(+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64)) #s(literal -8062883608299873750000000000/56993165798814994692847692649 binary64)))))
(+ 250000000000000/238732414637843 (* (pow x 2) (- (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))) 8062883608299873750000000000/56993165798814994692847692649)))
(+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 x (.f64 x (+.f64 #s(literal -8062883608299873750000000000/56993165798814994692847692649 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64) (.f64 (.f64 x x) #s(literal -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 binary64))))))))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x)
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.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))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x)
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.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))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(* 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))
(* 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)))

eval324.0ms (3.7%)

Compiler: Compiled 86846 to 2986 computations (96.6% saved)

prune204.0ms (2.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	2274	6	2280
Fresh	2	2	4
Picked	2	3	5
Done	1	1	2
Total	2279	12	2291

Accuracy

100.0%

Counts

2291 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.9%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) x) (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal -238732414637843/250000000000000 binary64)))
▶	99.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) x))
▶	46.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	99.8%	(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x)
▶	68.5%	(.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x)))))
▶	54.4%	(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	47.0%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
	54.4%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))

Compiler

Compiled 244 to 167 computations (31.6% saved)

simplify195.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2850×	`fma-lowering-fma.f32`
2850×	`fma-lowering-fma.f64`
2200×	`fma-define`
1886×	`sum3-define`
1678×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	194
1	71	179
2	163	168
3	455	168
4	1088	168
5	2078	168
6	3899	168
7	5654	168
0	8137	168

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize177.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (.f64 x (*.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	accuracy	99.4%	(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))))
✓	accuracy	70.5%	(.f64 (.f64 x (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))
✓	accuracy	99.4%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) x)
✓	accuracy	99.4%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	accuracy	99.1%	(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) x))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) x)
✓	accuracy	99.4%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))

Results

109.0ms

256×

valid

Compiler

Compiled 219 to 28 computations (87.2% saved)

Precisions

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

...c/correct-round.rkt:119:19: 26.0ms (42.4% of total)

ival-mult: 16.0ms (26.1% of total)

ival-div: 15.0ms (24.4% of total)

ival-add: 3.0ms (4.9% of total)

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

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ 1 (/ (/ 1 (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x)))) x))>
#<alt (/ (/ 1 (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x)))) x)>
#<alt (/ 1 (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x))))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x)))>
#<alt (/ 1 (/ 250000000000000/238732414637843 x))>
#<alt (/ 250000000000000/238732414637843 x)>
#<alt (* (* -6450306886639899/50000000000000000 (* x x)) x)>
#<alt (* -6450306886639899/50000000000000000 (* x x))>
#<alt (* x x)>
#<alt (/ x (/ 1 (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (* x x)))))>
#<alt (* (* x (- 56993165798814994692847692649/62500000000000000000000000000 (* x (* (* x (* x x)) 41606458931834106848498498730201/2500000000000000000000000000000000)))) (/ 1 (+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (* x x)))))>
#<alt (* x (- 56993165798814994692847692649/62500000000000000000000000000 (* x (* (* x (* x x)) 41606458931834106848498498730201/2500000000000000000000000000000000))))>
#<alt (- 56993165798814994692847692649/62500000000000000000000000000 (* x (* (* x (* x x)) 41606458931834106848498498730201/2500000000000000000000000000000000)))>
#<alt (* x (* (* x (* x x)) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (/ 1 (+ 238732414637843/250000000000000 (* 6450306886639899/50000000000000000 (* x x))))>
#<alt (* 6450306886639899/50000000000000000 (* x x))>
#<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 250000000000000/238732414637843>
#<alt (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)))))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))))))>
#<alt (/ -50000000000000000/6450306886639899 (pow x 2))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -50000000000000000/6450306886639899 (pow x 2))>
#<alt (* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 238732414637843/250000000000000>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* 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 (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* 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))>
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#<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 (* 56993165798814994692847692649/62500000000000000000000000000 x)>
#<alt (* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))>
#<alt (* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))>
#<alt (* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))>
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#<alt (* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 5))>
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#<alt (* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))>
#<alt 56993165798814994692847692649/62500000000000000000000000000>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
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#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt 250000000000000/238732414637843>
#<alt (+ 250000000000000/238732414637843 (* -8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (- (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)) 8062883608299873750000000000/56993165798814994692847692649)))>
#<alt (+ 250000000000000/238732414637843 (* (pow x 2) (- (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))) 8062883608299873750000000000/56993165798814994692847692649)))>
#<alt (/ 50000000000000000/6450306886639899 (pow x 2))>
#<alt (/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 50000000000000000/6450306886639899 (pow x 2))>
#<alt (/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
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#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<alt (* 6450306886639899/50000000000000000 (pow x 2))>
#<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

51 calls:

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

rewrite537.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3884×	`-lowering-.f32`
3884×	`-lowering-.f64`
2848×	`/-lowering-/.f32`
2848×	`/-lowering-/.f64`
1444×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	119
1	150	109
2	1039	101
0	8674	101

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1199

Calls

Call 1

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

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

simplify282.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
1696×	`sum4-define`
1636×	`/-lowering-/.f32`
1636×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1406
1	339	1325
2	1012	1313
3	2948	1312
4	7177	1312
0	8382	1312

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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)))
250000000000000/238732414637843
(+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)))))
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))))))
(/ -50000000000000000/6450306886639899 (pow x 2))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))
(/ -50000000000000000/6450306886639899 (pow x 2))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))
238732414637843/250000000000000
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* 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))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(* -6450306886639899/50000000000000000 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* 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))))))
(* 56993165798814994692847692649/62500000000000000000000000000 x)
(* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))
(* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))
(* x (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 5))
(* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 5) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 5))
(* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 41606458931834106848498498730201/2500000000000000000000000000000000 (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))))))
56993165798814994692847692649/62500000000000000000000000000
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
250000000000000/238732414637843
(+ 250000000000000/238732414637843 (* -8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))
(+ 250000000000000/238732414637843 (* (pow x 2) (- (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)) 8062883608299873750000000000/56993165798814994692847692649)))
(+ 250000000000000/238732414637843 (* (pow x 2) (- (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))) 8062883608299873750000000000/56993165798814994692847692649)))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (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 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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* (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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #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 x (.f64 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 (.f64 x x) (+.f64 #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64) (.f64 (.f64 x 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)))
(/.f64 (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (-.f64 (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3)))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (+.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
(+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2)))
(+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 x (.f64 x #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64))))
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)))))
(+.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)))))
(+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))))))
(+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64) (.f64 (.f64 x x) #s(literal 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 binary64)))))))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))
(/.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 x))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))
(/.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))
(/ -50000000000000000/6450306886639899 (pow x 2))
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))
(/.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 x))
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 2))
(/.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
#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))))
(* 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)
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(+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64)) #s(literal -8062883608299873750000000000/56993165798814994692847692649 binary64))))
(+ 250000000000000/238732414637843 (* (pow x 2) (- (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)))) 8062883608299873750000000000/56993165798814994692847692649)))
(+.f64 #s(literal 250000000000000/238732414637843 binary64) (.f64 x (.f64 x (+.f64 #s(literal -8062883608299873750000000000/56993165798814994692847692649 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64) (.f64 (.f64 x x) #s(literal -8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 binary64))))))))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x)
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 50000000000000000/6450306886639899 binary64) (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 50000000000000000/6450306886639899 (pow x 2))
(/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x))
(/ (- 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) x) x)
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 50000000000000000/6450306886639899 binary64) (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))) (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(* 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 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))

eval248.0ms (2.9%)

Compiler: Compiled 56091 to 3090 computations (94.5% saved)

prune189.0ms (2.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1751	7	1758
Fresh	2	1	3
Picked	4	1	5
Done	1	3	4
Total	1758	12	1770

Accuracy

100.0%

Counts

1770 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
▶	46.6%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
▶	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) x))
✓	46.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	99.8%	(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x)
▶	54.4%	(.f64 (.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) x)
	54.4%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
▶	54.4%	(.f64 (.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))
▶	54.4%	(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) x)
✓	47.0%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 164 to 111 computations (32.3% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

124×	`-lowering-.f32`
124×	`-lowering-.f64`
102×	`/-lowering-/.f32`
102×	`/-lowering-/.f64`
92×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	82
1	43	72
2	68	72
3	102	72
4	186	72
5	261	72
6	272	72
7	281	72
8	283	72
0	283	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize97.0ms (1.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) x))
✓	accuracy	99.1%	(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.9%	(.f64 (.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) x)
✓	accuracy	99.8%	(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)
✓	accuracy	99.1%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))

Results

72.0ms

256×

valid

Compiler

Compiled 93 to 19 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 16.0ms (38.1% of total)

ival-div: 13.0ms (31% of total)

...c/correct-round.rkt:119:19: 12.0ms (28.6% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0%)

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite216.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`-lowering-.f32`
1636×	`-lowering-.f64`
1442×	`sum3-define`
1342×	`unpow-prod-down`
796×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	85	54
2	394	54
3	2290	54
4	7825	54
0	8537	54

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 841

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(neg.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))
(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64))
(/.f64 (.f64 x (.f64 x x)) #s(literal 50000000000000000/6450306886639899 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) x)) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal 50000000000000000/6450306886639899 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))) (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.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 -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))))
(.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal 1 binary64))
(.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal -1 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) x)
(.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (.f64 x x))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal -1/2 binary64))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) #s(literal -1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal -50000000000000000/6450306886639899 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 50000000000000000/6450306886639899 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x (.f64 x x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 #s(literal -50000000000000000/6450306886639899 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) (pow.f64 x #s(literal -5/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal 0 binary64))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))
(exp.f64 (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))) (/.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 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) (/.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))
(/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 50000000000000000/6450306886639899 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) x)
(/.f64 (/.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))))
(/.f64 (/.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) #s(literal 0 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) (/.f64 #s(literal -50000000000000000/6450306886639899 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 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))
(.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal 50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 50000000000000000/6450306886639899 binary64))
(*.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (/.f64 #s(literal -125000000000000000000000000000000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))))
(.f64 (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x))) (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (pow.f64 #s(literal -50000000000000000/6450306886639899 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (pow.f64 #s(literal -50000000000000000/6450306886639899 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -1/2 binary64))))

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	648
1	26	648
2	37	648
0	37	648

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

Inputs
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(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)
(* 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))
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(* -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)
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(/ 1 x)
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(* -6450306886639899/50000000000000000 (pow x 3))
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Outputs
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(/ -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))

eval132.0ms (1.5%)

Compiler: Compiled 13673 to 1622 computations (88.1% saved)

prune105.0ms (1.2%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1114	4	1118
Fresh	1	2	3
Picked	2	3	5
Done	0	4	4
Total	1117	13	1130

Accuracy

100.0%

Counts

1130 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	46.6%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)) x))
✓	46.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
	5.4%	(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
	54.4%	(*.f64 (/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) x)) x)
	54.4%	(.f64 (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)) (.f64 x x))
✓	99.8%	(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x)
	54.4%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	54.4%	(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) x)
✓	47.0%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
	5.4%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Compiler

Compiled 365 to 154 computations (57.8% saved)

regimes17.0ms (0.2%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
7.0ms	(-.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)

regimes27.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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
98.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
50.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
5.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.11517011308111706	15.28120260700809

Results

12.0ms

112×

valid

Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 6.0ms (63% of total)

ival-mult: 3.0ms (31.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.11517011308111706	15.28120260700809

Results

12.0ms

112×

valid

Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions

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

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

ival-mult: 3.0ms (34.3% of total)

ival-sub: 2.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.11517011308111706	15.28120260700809

Results

12.0ms

112×

valid

Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (54.5% of total)

ival-mult: 3.0ms (32.7% of total)

ival-sub: 1.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.11517011308111706	15.28120260700809

Results

14.0ms

112×

valid

Compiler

Compiled 86 to 67 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

...c/correct-round.rkt:119:19: 4.0ms (52.2% of total)

ival-mult: 3.0ms (39.2% of total)

ival-sub: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	73
1	38	73

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.2s (25.9%)

Rules

4262×	`-lowering-.f32`
4262×	`-lowering-.f64`
3884×	`-lowering-.f32`
3884×	`-lowering-.f64`
3172×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	1472
1	331	1381
2	976	1375
3	2857	1374
4	6999	1374
0	8171	1374
0	13	47
1	71	44
2	526	44
3	6664	44
0	8486	44
0	27	119
1	150	109
2	1039	101
0	8674	101
0	25	526
1	63	499
2	156	499
3	468	499
4	1511	499
5	4231	499
0	9556	499
0	18	64
1	85	54
2	394	54
3	2290	54
4	7825	54
0	8537	54
0	8	10
1	21	8
2	56	8
3	136	8
4	220	8
5	329	8
6	586	8
7	874	8
8	1232	8
9	2577	8
10	2661	8
0	2661	8

Stop Event

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

Compiler

Compiled 292 to 178 computations (39% saved)

preprocess58.0ms (0.7%)

Remove: (negabs x)
Compiler: Compiled 232 to 106 computations (54.3% saved)

analyze0.0ms (0%)

sample1.2s (13.7%)

preprocess84.0ms (1%)

explain101.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify49.0ms (0.6%)

localize88.0ms (1%)

series18.0ms (0.2%)

rewrite347.0ms (4%)

simplify112.0ms (1.3%)

eval93.0ms (1.1%)

prune43.0ms (0.5%)

simplify256.0ms (3%)

localize189.0ms (2.2%)

series14.0ms (0.2%)

rewrite613.0ms (7.1%)

simplify266.0ms (3.1%)

eval324.0ms (3.7%)

prune204.0ms (2.4%)

simplify195.0ms (2.2%)

localize177.0ms (2%)

series6.0ms (0.1%)

rewrite537.0ms (6.2%)

simplify282.0ms (3.3%)

eval248.0ms (2.9%)

prune189.0ms (2.2%)

simplify14.0ms (0.2%)

localize97.0ms (1.1%)

series4.0ms (0%)

rewrite216.0ms (2.5%)

simplify31.0ms (0.4%)

eval132.0ms (1.5%)

prune105.0ms (1.2%)

regimes17.0ms (0.2%)

regimes27.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify8.0ms (0.1%)

soundness2.2s (25.9%)

preprocess58.0ms (0.7%)

end0.0ms (0%)

Profiling