Metrics for Rosa's Benchmark

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.2s (17.5%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

...c/correct-round.rkt:119:19: 350.0ms (50.9% of total)

ival-mult: 287.0ms (41.7% of total)

ival-sub: 41.0ms (6% of total)

const: 8.0ms (1.2% of total)

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

Bogosity

preprocess81.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

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

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

Call 2

Inputs

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

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

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

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

Symmetry

(negabs x)

explain129.0ms (1.8%)

FPErrors

Click to see full error table

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

Results

74.0ms

512×

valid

Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

...c/correct-round.rkt:119:19: 17.0ms (47.7% of total)

ival-mult: 15.0ms (42.1% of total)

ival-sub: 3.0ms (8.4% of total)

const: 1.0ms (2.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.8%

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

▶

99.8%

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize88.0ms (1.2%)

Localize:

Found 8 expressions of interest:

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

Results

70.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

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

ival-mult: 15.0ms (48% of total)

...c/correct-round.rkt:119:19: 13.0ms (41.6% of total)

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

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

const: 0.0ms (0% of total)

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

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)))

rewrite351.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 422

Calls

Call 1

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

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

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval103.0ms (1.4%)

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

prune47.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

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

Accuracy

100.0%

Counts

520 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))
▶	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
	66.8%	(.f64 (.f64 x (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
	69.2%	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
▶	53.4%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
▶	47.9%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 214 to 149 computations (30.4% saved)

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

958×	`fnmadd-define`
908×	`fma-define`
662×	`fmsub-define`
658×	`fnmsub-define`
624×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	122
1	58	110
2	128	108
3	297	108
4	457	108
5	689	108
6	1091	108
7	1479	108
8	2179	108
9	3450	108
10	3609	108
11	3628	108
12	3636	108
13	3636	108
0	3636	108

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

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

localize178.0ms (2.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))

Results

137.0ms

256×

valid

Compiler

Compiled 145 to 22 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 17.0ms (38.9% of total)

...c/correct-round.rkt:119:19: 13.0ms (29.8% of total)

ival-div: 10.0ms (22.9% of total)

ival-sub: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

16 → 192

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

48 calls:

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

rewrite436.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4690×	`-lowering-.f32`
4690×	`-lowering-.f64`
2332×	`/-lowering-/.f32`
2332×	`/-lowering-/.f64`
1578×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	92
1	120	79
2	788	79
0	9002	79

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1259

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

Outputs
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
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(.f64 (.f64 (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) x) (/.f64 #s(literal 1 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 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.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))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 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))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.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 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 1 binary64) (+.f64 (.f64 x (.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))))
(.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))) #s(literal -1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 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 1 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) x) (/.f64 (.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))))) (/.f64 #s(literal 1 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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) #s(literal 1/2 binary64))) (pow.f64 (.f64 x (-.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(neg.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(/.f64 #s(literal 6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64))
(*.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 #s(literal 0 binary64) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(neg.f64 (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(/.f64 #s(literal -6450306886639899/50000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 1 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))

simplify216.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2120×	`-lowering-.f32`
2120×	`-lowering-.f64`
1568×	`fma-lowering-fma.f32`
1568×	`fma-lowering-fma.f64`
1346×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1194
1	225	1013
2	698	999
3	2043	998
4	5255	998
0	8112	998

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

eval206.0ms (2.9%)

Compiler: Compiled 44896 to 2331 computations (94.8% saved)

prune159.0ms (2.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1602	6	1608
Fresh	2	0	2
Picked	2	3	5
Done	1	1	2
Total	1607	10	1617

Accuracy

100.0%

Counts

1617 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
▶	53.3%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
▶	47.5%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
▶	47.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
▶	53.3%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
▶	53.4%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
	53.4%	(.f64 x (/.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	53.4%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	47.9%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 122 to 84 computations (31.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

46×	`-lowering-.f32`
46×	`-lowering-.f64`
24×	`/-lowering-/.f32`
24×	`/-lowering-/.f64`
14×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	36	53
2	47	53
3	52	53
0	52	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize113.0ms (1.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	accuracy	99.0%	(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	accuracy	99.2%	(/.f64 #s(literal 250000000000000/238732414637843 binary64) x)
✓	accuracy	99.0%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))

Results

92.0ms

256×

valid

Compiler

Compiled 69 to 17 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

...c/correct-round.rkt:119:19: 12.0ms (34.8% of total)

ival-div: 11.0ms (31.9% of total)

ival-mult: 11.0ms (31.9% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite224.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`-lowering-.f32`
1648×	`-lowering-.f64`
1402×	`+-lowering-+.f64`
1402×	`+-lowering-+.f32`
1122×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	69	40
2	273	40
3	1172	40
4	5306	40
0	8363	40

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 846

Calls

Call 1

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

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

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	516
1	22	480
2	33	480
3	35	480
0	35	480

Stop Event

1×	iter limit
1×	saturated

Counts

132 → 132

Calls

Call 1

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

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

eval165.0ms (2.3%)

Compiler: Compiled 11481 to 1509 computations (86.9% saved)

prune106.0ms (1.5%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1031	4	1035
Fresh	1	0	1
Picked	1	4	5
Done	0	4	4
Total	1033	12	1045

Accuracy

100.0%

Counts

1045 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.6%	(/.f64 (.f64 x x) (.f64 #s(literal 250000000000000/238732414637843 binary64) x))
▶	53.3%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))))
✓	99.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	53.3%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	47.5%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
▶	5.0%	(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
✓	53.3%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	53.4%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	53.4%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	47.9%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
▶	5.0%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Compiler

Compiled 90 to 62 computations (31.1% saved)

simplify362.0ms (5.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

6524×	`-lowering-.f32`
6524×	`-lowering-.f64`
2702×	`/-lowering-/.f32`
2702×	`/-lowering-/.f64`
2554×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	34	43
2	67	41
3	98	40
4	246	40
5	760	40
6	2266	40
7	2623	40
8	3003	40
9	3619	40
10	4501	40
11	4920	40
12	5168	40
13	5365	40
14	5550	40
15	5746	40
16	6921	40
17	7580	40
18	7862	40
0	8009	40

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize136.0ms (1.9%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.0%	(*.f64 #s(literal 250000000000000/238732414637843 binary64) x)
✓	accuracy	53.6%	(/.f64 (.f64 x x) (.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64)))
✓	accuracy	99.4%	(/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Results

104.0ms

256×

valid

Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

...c/correct-round.rkt:119:19: 48.0ms (73.9% of total)

ival-div: 10.0ms (15.4% of total)

ival-mult: 6.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

9 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite114.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`-lowering-.f32`
1074×	`-lowering-.f64`
1002×	`frac-times`
914×	`/-lowering-/.f32`
914×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	79	30
2	411	28
0	2719	28

Stop Event

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

Counts

9 → 351

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -250000000000000/238732414637843 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 250000000000000/238732414637843 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal 250000000000000/238732414637843 binary64))) (/.f64 x #s(literal 250000000000000/238732414637843 binary64)))
(neg.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)))
(/.f64 x #s(literal -250000000000000/238732414637843 binary64))
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(*.f64 (/.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal 1 binary64))
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(.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 250000000000000/238732414637843 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 238732414637843/250000000000000 binary64) x))
(/.f64 #s(literal 250000000000000/238732414637843 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal 1 binary64))
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(*.f64 x #s(literal 250000000000000/238732414637843 binary64))
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(*.f64 #s(literal 250000000000000/238732414637843 binary64) x)
(.f64 (.f64 x #s(literal 250000000000000/238732414637843 binary64)) #s(literal 1 binary64))
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(*.f64 #s(literal -250000000000000/238732414637843 binary64) (-.f64 #s(literal 0 binary64) x))

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

42×	`-lowering-.f32`
42×	`-lowering-.f64`
12×	`*-commutative`
10×	`associate-r`
10×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	360
1	29	336
2	39	336
3	45	336
0	45	336

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

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

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

eval78.0ms (1.1%)

Compiler: Compiled 4203 to 662 computations (84.2% saved)

prune85.0ms (1.2%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	500	0	500
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	500	12	512

Accuracy

100.0%

Counts

512 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.6%	(/.f64 (.f64 x x) (.f64 #s(literal 250000000000000/238732414637843 binary64) x))
✓	53.3%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -50000000000000000/6450306886639899 binary64))))
✓	99.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))))
✓	53.3%	(/.f64 x (/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (*.f64 x x)))
✓	47.5%	(/.f64 x #s(literal 250000000000000/238732414637843 binary64))
✓	5.0%	(/.f64 #s(literal -238732414637843/250000000000000 binary64) (/.f64 #s(literal 1 binary64) x))
✓	53.3%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	53.4%	(.f64 (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))) x)
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	53.4%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	47.9%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	5.0%	(*.f64 x #s(literal -238732414637843/250000000000000 binary64))

Compiler

Compiled 262 to 126 computations (51.9% saved)

regimes13.0ms (0.2%)

Counts

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

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

Calls

2 calls:

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

regimes11.0ms (0.2%)

Counts

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

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

Calls

2 calls:

6.0ms	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)

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.6%	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
98.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
50.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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:

3.0ms

Results

Accuracy	Segments	Branch
5.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.30518365890838833	19.912070981437754

Results

12.0ms

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 (51.9% of total)

ival-mult: 3.0ms (38.9% of total)

ival-sub: 1.0ms (13% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.30518365890838833	19.912070981437754

Results

12.0ms

112×

valid

Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (58.6% of total)

ival-mult: 3.0ms (35.2% of total)

ival-sub: 1.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.30518365890838833	19.912070981437754

Results

13.0ms

112×

valid

Compiler

Compiled 86 to 67 computations (22.1% saved)

Precisions

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

...c/correct-round.rkt:119:19: 4.0ms (52.9% of total)

ival-mult: 3.0ms (39.7% of total)

ival-sub: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	42	61
2	57	61
3	70	61
4	78	61
5	82	61
6	83	61

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

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

soundness2.0s (27.9%)

Rules

4690×	`-lowering-.f32`
4690×	`-lowering-.f64`
4238×	`-lowering-.f32`
4238×	`-lowering-.f64`
2332×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	69	40
2	273	40
3	1172	40
4	5306	40
0	8363	40
0	25	490
1	63	422
2	157	422
3	472	422
4	1516	422
5	4238	422
0	9570	422
0	89	1194
1	225	1013
2	698	999
3	2043	998
4	5255	998
0	8112	998
0	13	40
1	72	37
2	529	37
3	6721	37
0	8066	37
0	21	92
1	120	79
2	788	79
0	9002	79
0	8	9
1	22	8
2	57	8
3	138	7
4	222	7
5	331	7
6	588	7
7	876	7
8	1235	7
9	2581	7
10	2665	7
0	2665	7

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 230 to 141 computations (38.7% saved)

preprocess50.0ms (0.7%)

Remove: (negabs x)
Compiler: Compiled 196 to 94 computations (52% saved)

analyze0.0ms (0%)

sample1.2s (17.5%)

preprocess81.0ms (1.1%)

explain129.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify51.0ms (0.7%)

localize88.0ms (1.2%)

series7.0ms (0.1%)

rewrite351.0ms (4.9%)

simplify114.0ms (1.6%)

eval103.0ms (1.4%)

prune47.0ms (0.7%)

simplify111.0ms (1.6%)

localize178.0ms (2.5%)

series5.0ms (0.1%)

rewrite436.0ms (6.1%)

simplify216.0ms (3%)

eval206.0ms (2.9%)

prune159.0ms (2.2%)

simplify6.0ms (0.1%)

localize113.0ms (1.6%)

series3.0ms (0%)

rewrite224.0ms (3.2%)

simplify25.0ms (0.4%)

eval165.0ms (2.3%)

prune106.0ms (1.5%)

simplify362.0ms (5.1%)

localize136.0ms (1.9%)

series5.0ms (0.1%)

rewrite114.0ms (1.6%)

simplify34.0ms (0.5%)

eval78.0ms (1.1%)

prune85.0ms (1.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch18.0ms (0.3%)

simplify10.0ms (0.1%)

soundness2.0s (27.9%)

preprocess50.0ms (0.7%)

end0.0ms (0%)

Profiling