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)

sample1.4s (18.5%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 673.0ms

...c/correct-round.rkt:119:19: 321.0ms (47.7% of total)

ival-mult: 299.0ms (44.4% of total)

ival-sub: 43.0ms (6.4% of total)

const: 7.0ms (1% of total)

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

Bogosity

preprocess78.0ms (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)

explain123.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

86.0ms

512×

valid

Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions

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

ival-mult: 40.0ms (66.4% of total)

...c/correct-round.rkt:119:19: 17.0ms (28.2% of total)

ival-sub: 2.0ms (3.3% of total)

const: 1.0ms (1.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(-.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

▶

99.5%

(-.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)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	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)

localize71.0ms (1%)

Localize:

Found 8 expressions of interest:

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

Results

54.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

...c/correct-round.rkt:119:19: 21.0ms (59.8% of total)

ival-mult: 12.0ms (34.2% of total)

ival-sub: 1.0ms (2.8% of total)

ival-add: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite327.0ms (4.4%)

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	44
1	71	41
2	526	41
3	6664	41
0	8486	41

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 418

Calls

Call 1

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

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

simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	490
1	63	463
2	156	463
3	468	463
4	1511	463
5	4231	463
0	9556	463

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval62.0ms (0.8%)

Compiler: Compiled 18399 to 733 computations (96% saved)

prune85.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	507	7	514
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	507	9	516

Accuracy

100.0%

Counts

516 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))))
▶	99.9%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
	99.6%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	99.5%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
	66.1%	(.f64 (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 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) (.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)))))
▶	55.6%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
▶	45.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 182 to 125 computations (31.3% saved)

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

956×	`fnmadd-define`
908×	`fma-define`
660×	`fmsub-define`
658×	`fnmsub-define`
624×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	128
1	49	117
2	124	113
3	271	113
4	422	113
5	731	113
6	1151	113
7	1543	113
8	2243	113
9	3512	113
10	3671	113
11	3690	113
12	3698	113
13	3698	113
0	3698	113

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize114.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
✓	accuracy	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))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))))
✓	accuracy	99.5%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	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	99.5%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	accuracy	99.5%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	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 #s(literal 238732414637843/250000000000000 binary64) x)

Results

84.0ms

256×

valid

Compiler

Compiled 133 to 19 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

...c/correct-round.rkt:119:19: 20.0ms (44.8% of total)

ival-mult: 18.0ms (40.3% of total)

ival-div: 3.0ms (6.7% of total)

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

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

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite449.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

5200×	`-lowering-.f32`
5200×	`-lowering-.f64`
2478×	`/-lowering-/.f32`
2478×	`/-lowering-/.f64`
1288×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	98	74
2	684	74
0	8627	74

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1317

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (.f64 #s(literal 238732414637843/250000000000000 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
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(.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 x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))))))) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 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 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 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 (.f64 x x) #s(literal -6450306886639899/50000000000000000 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 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 x) (+.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
(.f64 (/.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)))) x) (+.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))))))) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)))))
(.f64 (/.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)))) x) (-.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) x) (-.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 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) 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 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(neg.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6450306886639899/50000000000000000 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 6450306886639899/50000000000000000 binary64))

simplify242.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2314×	`-lowering-.f32`
2314×	`-lowering-.f64`
1506×	`fma-lowering-fma.f32`
1506×	`fma-lowering-fma.f64`
1292×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	940
1	210	887
2	661	881
3	1967	880
4	5072	878
0	8131	878

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval289.0ms (3.9%)

Compiler: Compiled 51952 to 2196 computations (95.8% saved)

prune138.0ms (1.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1652	5	1657
Fresh	1	1	2
Picked	1	4	5
Done	1	1	2
Total	1655	11	1666

Accuracy

100.0%

Counts

1666 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x))
▶	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	99.9%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
	99.6%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	99.8%	(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))) x)
▶	55.3%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
▶	55.5%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
▶	55.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	55.6%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	45.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 148 to 104 computations (29.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

118×	`-lowering-.f32`
118×	`-lowering-.f64`
80×	`fma-define`
72×	`fma-lowering-fma.f32`
72×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	45	81
2	54	81
3	59	81
4	68	81
5	88	81
6	116	80
7	153	79
8	169	79
9	178	79
0	178	79

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize111.0ms (1.5%)

Localize:

Found 15 expressions of interest:

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

Results

85.0ms

256×

valid

Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

...c/correct-round.rkt:119:19: 28.0ms (50.6% of total)

ival-mult: 18.0ms (32.5% of total)

ival-div: 7.0ms (12.6% of total)

ival-add: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

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

series4.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite385.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3424×	`-lowering-.f32`
3424×	`-lowering-.f64`
2334×	`/-lowering-/.f32`
2334×	`/-lowering-/.f64`
1502×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	88	58
2	417	57
3	3205	57
0	9828	57

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 583

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) (/.f64 x #s(literal 250000000000000/238732414637843 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) x)) (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))))
(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(/.f64 x (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))) #s(literal -1 binary64)))
(/.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))))
(/.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))))
(/.f64 x (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)) (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) x))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) x))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)) (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) x))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) x))
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(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) #s(literal -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (.f64 (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) #s(literal -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) x) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64)) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) x) (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) x))
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 250000000000000/238732414637843 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal -250000000000000/238732414637843 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(pow.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 x (neg.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 x (pow.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (neg.f64 (.f64 x x)))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x)
(.f64 (neg.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (neg.f64 (.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 x x))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(neg.f64 (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))

simplify133.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1196×	`-lowering-.f32`
1196×	`-lowering-.f64`
1138×	`fma-define`
1124×	`fnmadd-define`
922×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	675
1	71	666
2	163	666
3	483	666
4	1646	666
5	4428	666
0	8746	666

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval119.0ms (1.6%)

Compiler: Compiled 16883 to 1436 computations (91.5% saved)

prune78.0ms (1.1%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	770	5	775
Fresh	1	0	1
Picked	0	5	5
Done	0	5	5
Total	771	15	786

Accuracy

100.0%

Counts

786 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
✓	99.7%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x))
▶	45.4%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
▶	5.0%	(/.f64 #s(literal 238732414637843/250000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
✓	99.9%	(-.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)
▶	3.0%	(.f64 (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) x)
✓	55.3%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	55.5%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
✓	55.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	55.6%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	45.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
▶	5.0%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Compiler

Compiled 190 to 125 computations (34.2% saved)

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
✓	cost-diff	0	(.f64 (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 238732414637843/250000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal -1 binary64) x) x)
✓	cost-diff	640	(.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))))
✓	cost-diff	1024	(-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	cost-diff	1280	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))

Rules

2016×	`-lowering-.f32`
2016×	`-lowering-.f64`
1858×	`div-sub`
1242×	`/-lowering-/.f32`
1242×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	110
1	60	106
2	131	93
3	402	92
4	1748	91
5	4929	91
0	8291	91

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x)) (/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x))
(* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
0
(/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))
-1
(+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(* x (* x 6450306886639899/50000000000000000))
x
(* x 6450306886639899/50000000000000000)
6450306886639899/50000000000000000
238732414637843/250000000000000
(* (/ -1 x) x)
(/ -1 x)
(/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)
-238732414637843/250000000000000
(* x -238732414637843/250000000000000)
x
-238732414637843/250000000000000
(/ x 250000000000000/238732414637843)
x
250000000000000/238732414637843
(/ 238732414637843/250000000000000 (/ -1 x))
238732414637843/250000000000000
(/ -1 x)
-1
x
(* (* (* x x) 6450306886639899/50000000000000000) x)
(* (* x x) 6450306886639899/50000000000000000)
(* x x)
x
6450306886639899/50000000000000000

Outputs
(/ (- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x)) (/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x))
#s(literal 1 binary64)
(* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))
(* x (* x 6450306886639899/50000000000000000))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
x
(* x 6450306886639899/50000000000000000)
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
6450306886639899/50000000000000000
#s(literal 6450306886639899/50000000000000000 binary64)
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(* (/ -1 x) x)
#s(literal -1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))
(+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)
(+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))
-238732414637843/250000000000000
#s(literal -238732414637843/250000000000000 binary64)
(* x -238732414637843/250000000000000)
(/.f64 x #s(literal -250000000000000/238732414637843 binary64))
x
-238732414637843/250000000000000
#s(literal -238732414637843/250000000000000 binary64)
(/ x 250000000000000/238732414637843)
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
x
250000000000000/238732414637843
#s(literal 250000000000000/238732414637843 binary64)
(/ 238732414637843/250000000000000 (/ -1 x))
(/.f64 x #s(literal -250000000000000/238732414637843 binary64))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(* (* (* x x) 6450306886639899/50000000000000000) x)
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* (* x x) 6450306886639899/50000000000000000)
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* x x)
(*.f64 x x)
x
6450306886639899/50000000000000000
#s(literal 6450306886639899/50000000000000000 binary64)

localize143.0ms (1.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) x)
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	99.5%	(/.f64 #s(literal 238732414637843/250000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.1%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))
✓	accuracy	99.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
✓	accuracy	98.8%	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))

Results

102.0ms

256×

valid

Compiler

Compiled 153 to 25 computations (83.7% saved)

Precisions

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

ival-mult: 33.0ms (48.3% of total)

...c/correct-round.rkt:119:19: 17.0ms (24.9% of total)

ival-div: 14.0ms (20.5% of total)

ival-add: 3.0ms (4.4% of total)

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

const: 1.0ms (1.5% of total)

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

series5.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ (- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x)) (/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))>
#<alt (- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x))>
#<alt (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)))>
#<alt (* (/ -1 x) x)>
#<alt (* x -238732414637843/250000000000000)>
#<alt (/ x 250000000000000/238732414637843)>
#<alt (/ 238732414637843/250000000000000 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (* (* (* x x) 6450306886639899/50000000000000000) x)>
#<alt (* (* x x) 6450306886639899/50000000000000000)>
#<alt (* x x)>
#<alt (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))>
#<alt (/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))>
#<alt (* x (* x 6450306886639899/50000000000000000))>

Outputs
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* -238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* -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 (/ -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 (* 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 -250000000000000/238732414637843>
#<alt (- (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2)) 250000000000000/238732414637843)>
#<alt (- (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* -260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2)))) 250000000000000/238732414637843)>
#<alt (- (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (- (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2)) 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107)))) 250000000000000/238732414637843)>
#<alt (/ -50000000000000000/6450306886639899 (pow x 2))>
#<alt (/ (- (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))>
#<alt (/ (- (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6)))) (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 2))>
#<alt (/ -50000000000000000/6450306886639899 (pow x 2))>
#<alt (/ (- (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) 50000000000000000/6450306886639899) (pow x 2))>
#<alt (/ (- (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6)))) (+ 50000000000000000/6450306886639899 (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (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 (* 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

42 calls:

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

rewrite114.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`/-lowering-/.f32`
502×	`/-lowering-/.f64`
484×	`-lowering-.f32`
484×	`-lowering-.f64`
158×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	81
1	148	73
0	986	73

Stop Event

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

Counts

14 → 187

Calls

Call 1

Inputs
(/ (- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x)) (/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(- (* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))) (* (/ -1 x) x))
(* 0 (/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(* (/ -1 x) x)
(* x -238732414637843/250000000000000)
(/ x 250000000000000/238732414637843)
(/ 238732414637843/250000000000000 (/ -1 x))
(/ -1 x)
(* (* (* x x) 6450306886639899/50000000000000000) x)
(* (* x x) 6450306886639899/50000000000000000)
(* x x)
(/ -1 (+ (* x (* x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/ (/ -1 x) (+ (* x (* x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(* x (* x 6450306886639899/50000000000000000))

Outputs
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(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64))) #s(literal -1 binary64))
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
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(*.f64 #s(literal -238732414637843/250000000000000 binary64) x)
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(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 238732414637843/250000000000000 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -238732414637843/250000000000000 binary64)))
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(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
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(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
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(.f64 (.f64 (*.f64 x x) x) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) x)
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))))
(pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64))))
(.f64 (/.f64 #s(literal 1 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 (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (+.f64 (.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
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(/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 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 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))) x)
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (+.f64 (.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) x)
(.f64 (.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))

simplify233.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2448×	`fma-lowering-fma.f32`
2448×	`fma-lowering-fma.f64`
2300×	`-lowering-.f32`
2300×	`-lowering-.f64`
1712×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	816
1	284	802
2	873	790
3	2479	789
4	6052	789
0	8076	789

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

eval64.0ms (0.9%)

Compiler: Compiled 8405 to 635 computations (92.4% saved)

prune42.0ms (0.6%)

Pruning

15 alts after pruning (1 fresh and 14 done)

	Pruned	Kept	Total
New	410	1	411
Fresh	0	0	0
Picked	1	4	5
Done	0	10	10
Total	411	15	426

Accuracy

100.0%

Counts

426 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) x))
	99.7%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
✓	45.4%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	5.0%	(/.f64 #s(literal 238732414637843/250000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
✓	99.9%	(-.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)
✓	3.0%	(.f64 (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) x)
✓	55.3%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	55.5%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
✓	55.6%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	55.6%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	45.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	5.0%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Compiler

Compiled 321 to 156 computations (51.4% saved)

regimes19.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -238732414637843/250000000000000 binary64))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
(/.f64 #s(literal 238732414637843/250000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) x)
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(.f64 (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 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 (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) (/.f64 #s(literal -1 binary64) 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 (.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(.f64 (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (/.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 238732414637843/250000000000000 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))

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

Calls

2 calls:

12.0ms	x
5.0ms	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	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)

regimes9.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	(-.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)

regimes6.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.9%	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 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 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
98.9%	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
48.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9151757556960365	264.8127655585612

Results

11.0ms

112×

valid

Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 4.0ms (48.4% of total)

ival-mult: 3.0ms (36.3% of total)

ival-sub: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.9151757556960365	264.8127655585612

Results

15.0ms

112×

valid

Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (65.3% of total)

...c/correct-round.rkt:119:19: 4.0ms (32.6% of total)

ival-sub: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9151757556960365	264.8127655585612

Results

10.0ms

112×

valid

Compiler

Compiled 86 to 67 computations (22.1% saved)

Precisions

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

...c/correct-round.rkt:119:19: 4.0ms (54.6% of total)

ival-mult: 3.0ms (41% of total)

ival-sub: 1.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	70
1	46	70
2	61	70
3	74	70
4	82	70
5	86	70
6	87	70

Stop Event

1×

saturated

Calls

Call 1

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

soundness2.0s (26.8%)

Rules

5200×	`-lowering-.f32`
5200×	`-lowering-.f64`
4262×	`-lowering-.f32`
4262×	`-lowering-.f64`
3424×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	490
1	63	463
2	156	463
3	468	463
4	1511	463
5	4231	463
0	9556	463
0	18	88
1	98	74
2	684	74
0	8627	74
0	83	940
1	210	887
2	661	881
3	1967	880
4	5072	878
0	8131	878
0	21	59
1	88	58
2	417	57
3	3205	57
0	9828	57
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
0	13	44
1	71	41
2	526	41
3	6664	41
0	8486	41

Stop Event

1×	fuel
1×	iter limit
1×	node limit
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

Compiler

Compiled 241 to 145 computations (39.8% saved)

preprocess95.0ms (1.3%)

Remove: (negabs x)
Compiler: Compiled 238 to 114 computations (52.1% saved)

Iter	Nodes	Cost
0	21	81
1	45	81
2	54	81
3	59	81
4	68	81
5	88	81
6	116	80
7	153	79
8	169	79
9	178	79
0	178	79

Iter	Nodes	Cost
0	21	81
1	45	81
2	54	81
3	59	81
4	68	81
5	88	81
6	116	80
7	153	79
8	169	79
9	178	79
0	178	79

analyze0.0ms (0%)

sample1.4s (18.5%)

preprocess78.0ms (1%)

explain123.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify62.0ms (0.8%)

localize71.0ms (1%)

series7.0ms (0.1%)

rewrite327.0ms (4.4%)

simplify118.0ms (1.6%)

eval62.0ms (0.8%)

prune85.0ms (1.1%)

simplify109.0ms (1.5%)

localize114.0ms (1.5%)

series4.0ms (0.1%)

rewrite449.0ms (6%)

simplify242.0ms (3.3%)

eval289.0ms (3.9%)

prune138.0ms (1.9%)

simplify11.0ms (0.1%)

localize111.0ms (1.5%)

series4.0ms (0.1%)

rewrite385.0ms (5.2%)

simplify133.0ms (1.8%)

eval119.0ms (1.6%)

prune78.0ms (1.1%)

simplify134.0ms (1.8%)

localize143.0ms (1.9%)

series5.0ms (0.1%)

rewrite114.0ms (1.5%)

simplify233.0ms (3.1%)

eval64.0ms (0.9%)

prune42.0ms (0.6%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch16.0ms (0.2%)

bsearch20.0ms (0.3%)

bsearch16.0ms (0.2%)

simplify10.0ms (0.1%)

soundness2.0s (26.8%)

preprocess95.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	81
1	45	81
2	54	81
3	59	81
4	68	81
5	88	81
6	116	80
7	153	79
8	169	79
9	178	79
0	178	79