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 (20.5%)

Results

955.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 719.0ms

ival-mult: 342.0ms (47.6% of total)

...c/correct-round.rkt:119:19: 317.0ms (44.1% of total)

ival-sub: 51.0ms (7.1% of total)

const: 7.0ms (1% of total)

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

Bogosity

preprocess81.0ms (1.4%)

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)

explain138.0ms (2.4%)

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

103.0ms

512×

valid

Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

...c/correct-round.rkt:119:19: 57.0ms (72.7% of total)

ival-mult: 16.0ms (20.4% of total)

ival-sub: 5.0ms (6.4% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

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)

simplify75.0ms (1.3%)

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)

localize71.0ms (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 (.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	100.0%	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64))))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))

Results

54.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

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

ival-mult: 13.0ms (41% of total)

...c/correct-round.rkt:119:19: 12.0ms (37.8% of total)

ival-sub: 5.0ms (15.8% of total)

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

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 6450306886639899/50000000000000000 (* (* x x) x))
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)))

rewrite308.0ms (5.3%)

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)))

simplify115.0ms (2%)

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))

eval146.0ms (2.5%)

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

prune62.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	512	6	518
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	512	8	520

Accuracy

100.0%

Counts

520 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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) (pow.f64 x #s(literal 3 binary64))))
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))
	73.0%	(.f64 x (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
▶	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
▶	52.2%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
▶	50.2%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 154 to 107 computations (30.5% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

822×	`fnmadd-define`
706×	`fma-define`
522×	`sum3-define`
480×	`fma-lowering-fma.f32`
480×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	53	84
2	111	84
3	187	84
4	259	84
5	384	84
6	644	84
7	931	84
8	1379	84
9	2496	84
10	2552	84
0	2552	84

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize125.0ms (2.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
✓	accuracy	99.8%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.9%	(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(*.f64 #s(literal 238732414637843/250000000000000 binary64) x)

Results

89.0ms

256×

valid

Compiler

Compiled 105 to 20 computations (81% saved)

Precisions

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

ival-mult: 17.0ms (43.8% of total)

...c/correct-round.rkt:119:19: 12.0ms (30.9% of total)

ival-pow: 5.0ms (12.9% of total)

ival-sub: 2.0ms (5.2% of total)

ival-add: 1.0ms (2.6% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

42 calls:

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

rewrite331.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4948×	`-lowering-.f32`
4948×	`-lowering-.f64`
1786×	`/-lowering-/.f32`
1786×	`/-lowering-/.f64`
1152×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	114	63
2	675	63
0	8094	63

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 674

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))))
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(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (+.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))))
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(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (fma.f64 (neg.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)))))
(+.f64 (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))) (.f64 #s(literal 238732414637843/250000000000000 binary64) x))
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(+.f64 (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))) (neg.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))))))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) x) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))) (neg.f64 (.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))))
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(-.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) (-.f64 (-.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64))))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (-.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
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(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))))) (+.f64 (.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.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 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))))) (+.f64 (.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) (.f64 (*.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64))))))
(.f64 (/.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))))) (-.f64 (.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.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 x x) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.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 (.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 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))))) (+.f64 (.f64 (.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (*.f64 x #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))))) (+.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))))))) (+.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))))) (-.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(.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 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64))))) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64)))))
(.f64 x (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(neg.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6450306886639899/50000000000000000 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 6450306886639899/50000000000000000 binary64))

simplify118.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1892×	`fnmadd-define`
1682×	`fma-define`
1414×	`times-frac`
1246×	`-lowering-.f32`
1246×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	836
1	63	726
2	159	726
3	479	726
4	1514	726
5	4225	726
0	9561	726

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

eval127.0ms (2.2%)

Compiler: Compiled 27585 to 887 computations (96.8% saved)

prune47.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	885	3	888
Fresh	0	1	1
Picked	1	4	5
Done	2	0	2
Total	888	8	896

Accuracy

100.0%

Counts

896 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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) (pow.f64 x #s(literal 3 binary64))))
▶	52.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
▶	52.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
▶	73.0%	(.f64 x (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
▶	52.2%	(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
✓	50.2%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 82 to 56 computations (31.7% saved)

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

304×	`-lowering-.f32`
304×	`-lowering-.f64`
128×	`fma-lowering-fma.f32`
128×	`fma-define`
128×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	117
1	47	100
2	84	100
3	139	100
4	158	100
5	166	100
6	206	100
7	304	100
8	320	100
9	356	100
10	357	100
0	357	100

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

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

localize158.0ms (2.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
✓	accuracy	64.7%	(/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
✓	accuracy	99.8%	(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x)

Results

85.0ms

256×

valid

Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

...c/correct-round.rkt:119:19: 24.0ms (47.6% of total)

ival-mult: 22.0ms (43.6% of total)

ival-add: 3.0ms (5.9% of total)

ival-div: 2.0ms (4% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

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

Outputs
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* -6450306886639899/50000000000000000 x)>
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))>
#<alt 238732414637843/250000000000000>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* -6450306886639899/50000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt (* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))>
#<alt 56993165798814994692847692649/62500000000000000000000000000>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -6450306886639899/50000000000000000 (pow x 3))>
#<alt (* -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 (* 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)>

Calls

39 calls:

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

rewrite351.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

4158×	`-lowering-.f32`
4158×	`-lowering-.f64`
2196×	`/-lowering-/.f32`
2196×	`/-lowering-/.f64`
1570×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	85
1	84	71
2	534	59
3	6377	57
0	8631	57

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 407

Calls

Call 1

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

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

simplify139.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1892×	`fnmadd-define`
1414×	`times-frac`
1082×	`fmsub-define`
1028×	`-lowering-.f32`
1028×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	746
1	87	663
2	187	663
3	504	663
4	1563	663
5	4271	663
0	8723	663

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -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
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
56993165798814994692847692649/62500000000000000000000000000
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -6450306886639899/50000000000000000 (pow x 3))
(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)
(* 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)

Outputs
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -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))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)) #s(literal 238732414637843/250000000000000 binary64)))
238732414637843/250000000000000
#s(literal 238732414637843/250000000000000 binary64)
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* -6450306886639899/50000000000000000 (pow x 2))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(+.f64 (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x)) #s(literal 238732414637843/250000000000000 binary64))
56993165798814994692847692649/62500000000000000000000000000
#s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(+ 56993165798814994692847692649/62500000000000000000000000000 (* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4)))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 4) (- (* 56993165798814994692847692649/62500000000000000000000000000 (/ 1 (pow x 4))) 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.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 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(* -6450306886639899/50000000000000000 (pow x 3))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(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))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(* 6450306886639899/50000000000000000 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))

eval98.0ms (1.7%)

Compiler: Compiled 19037 to 1335 computations (93% saved)

prune67.0ms (1.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	635	3	638
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	637	9	646

Accuracy

100.0%

Counts

646 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
▶	52.2%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	52.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	52.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
▶	26.0%	(.f64 x (/.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
▶	50.1%	(.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
✓	52.2%	(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
✓	50.2%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 88 to 59 computations (33% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

288×	`-lowering-.f32`
288×	`-lowering-.f64`
180×	`associate-l`
168×	`associate-r`
70×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	41	93
2	93	93
3	195	91
4	318	91
5	322	91
0	322	91

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize140.0ms (2.4%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	65.5%	(/.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	accuracy	99.8%	(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
✓	accuracy	98.6%	(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))
✓	accuracy	78.9%	(.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))

Results

82.0ms

256×

valid

Compiler

Compiled 126 to 20 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

...c/correct-round.rkt:119:19: 29.0ms (50.5% of total)

ival-mult: 16.0ms (27.9% of total)

ival-pow: 5.0ms (8.7% of total)

ival-div: 4.0ms (7% of total)

ival-add: 3.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

Outputs
#<alt (* 238732414637843/250000000000000 x)>
#<alt (* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))>
#<alt (* x (+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))))>
#<alt (* x (+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))))>
#<alt (/ 56993165798814994692847692649/8062883608299873750000000000 x)>
#<alt (/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) x)>
#<alt (/ 56993165798814994692847692649/8062883608299873750000000000 x)>
#<alt (* -1 (/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) x))>
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Calls

33 calls:

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

rewrite323.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3508×	`-lowering-.f32`
3508×	`-lowering-.f64`
2066×	`/-lowering-/.f32`
2066×	`/-lowering-/.f64`
1910×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	78	68
2	463	68
3	4815	67
0	8235	67

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 514

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (.f64 (/.f64 (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal -238732414637843/250000000000000 binary64)))) (.f64 (/.f64 (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) #s(literal 238732414637843/250000000000000 binary64)) (.f64 (/.f64 (.f64 x #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))) (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
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(.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)))) (-.f64 #s(literal 0 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))))))
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(.f64 x (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))
(.f64 x (.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
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(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
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(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))))
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(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
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(.f64 (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))))
(.f64 (.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))
(.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) x)
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x)))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))
(.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x x)))) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)))) x)
(.f64 (neg.f64 (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 (*.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))) x)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64))
(.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) x)
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 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)))
(.f64 (.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(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 #s(literal 3 binary64)) (log.f64 x))
(.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)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)

simplify259.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

4192×	`+-lowering-+.f64`
4192×	`+-lowering-+.f32`
3222×	`-lowering-.f32`
3222×	`-lowering-.f64`
1564×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	970
1	342	852
2	1008	828
3	3472	820
0	8190	820

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 238732414637843/250000000000000 x)
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))))
(* x (+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))))
(* x (+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))))
(/ 56993165798814994692847692649/8062883608299873750000000000 x)
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) x)
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) x)
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) x)
(/ 56993165798814994692847692649/8062883608299873750000000000 x)
(* -1 (/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) x))
(* -1 (/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) x))
(* -1 (/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) x))
238732414637843/250000000000000
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000)))
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000)))
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2))
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2))
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2))
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (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) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))
(* 6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* 6450306886639899/50000000000000000 (pow x 2))
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 5))
(* (pow x 5) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 5) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* -6450306886639899/50000000000000000 (pow x 3))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* (pow x 3) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* -6450306886639899/50000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (* 238732414637843/250000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4))) (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))))))
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 4))
(* (pow x 4) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* (pow x 4) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* -6450306886639899/50000000000000000 (pow x 2))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000))
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* (pow x 2) (- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -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)
(* 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 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x))))
(* x (+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (*.f64 x #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64)))))))
(* x (+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 (*.f64 x x) #s(literal -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64))))))))
(/ 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x))) x)
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x x))) (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x x))) (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 binary64) (.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x) x))) x)
(/ 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)
(* -1 (/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) x))
(/.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x x))) (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x x))) (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 binary64) (.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x) 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 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x (.f64 x #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64))))))
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000)))
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (.f64 (.f64 x x) #s(literal -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64)))))))
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2))
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (*.f64 x x))
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (.f64 x x))) (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2))
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(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 4))
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(* -6450306886639899/50000000000000000 (pow x 2))
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(* -6450306886639899/50000000000000000 (pow x 2))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
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(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(* -41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 4))
(.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.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)))
(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))
(* 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))

eval86.0ms (1.5%)

Compiler: Compiled 20341 to 1716 computations (91.6% saved)

prune92.0ms (1.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	753	4	757
Fresh	0	0	0
Picked	3	0	3
Done	0	6	6
Total	756	10	766

Accuracy

100.0%

Counts

766 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.4%	(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)
✓	99.8%	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))
	29.2%	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (/.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))))
✓	52.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
✓	52.1%	(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
	24.2%	(.f64 x (/.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
	49.7%	(*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))
✓	99.8%	(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
✓	52.2%	(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
✓	50.2%	(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

Compiler

Compiled 279 to 121 computations (56.6% saved)

regimes13.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)
(*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 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 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.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 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 x (/.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (/.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))))
(.f64 x (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))

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

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.f64 (.f64 x x) x)))

Results

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes11.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)
(*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 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 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (.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 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))))
(.f64 x (/.f64 (.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) (/.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64)))))))
(.f64 x (/.f64 (+.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal 6450306886639899/50000000000000000 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)
(*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)
(*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))
(.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x)))
(.f64 x (.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x))
(.f64 (.f64 x x) (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -6450306886639899/50000000000000000 binary64))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -30.8b remaining (-96.6%)

Threshold costs -30.8b (-96.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) x)

(*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
50.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch23.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.001806120491402e-10	14.719811443205586

Results

15.0ms

160×

valid

Compiler

Compiled 156 to 111 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

...c/correct-round.rkt:119:19: 5.0ms (47.5% of total)

ival-mult: 4.0ms (38% of total)

ival-sub: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	38	44
2	50	44
3	56	44
4	60	44
5	61	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 238732414637843/250000000000000 binary64) x) (.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))))
(.f64 x (+.f64 #s(literal 238732414637843/250000000000000 binary64) (.f64 x (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)))))
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (.f64 x #s(literal 238732414637843/250000000000000 binary64)) (.f64 x (.f64 #s(literal -6450306886639899/50000000000000000 binary64) (.f64 x x))))
(*.f64 x #s(literal 238732414637843/250000000000000 binary64))

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

soundness905.0ms (15.5%)

Rules

4238×	`-lowering-.f32`
4238×	`-lowering-.f64`
1892×	`fnmadd-define`
1746×	`/-lowering-/.f32`
1746×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	490
1	63	422
2	157	422
3	472	422
4	1516	422
5	4238	422
0	9570	422
0	13	40
1	72	37
2	529	37
3	6721	37
0	8066	37
0	8	9
1	22	8
2	57	8
3	138	7
4	222	7
5	331	7
6	588	7
7	876	7
8	1235	7
9	2581	7
10	2665	7
0	2665	7

Stop Event

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

Compiler

Compiled 131 to 82 computations (37.4% saved)

preprocess62.0ms (1.1%)

Remove: (negabs x)
Compiler: Compiled 174 to 106 computations (39.1% saved)

Iter	Nodes	Cost
0	21	117
1	47	100
2	84	100
3	139	100
4	158	100
5	166	100
6	206	100
7	304	100
8	320	100
9	356	100
10	357	100
0	357	100

Iter	Nodes	Cost
0	21	117
1	47	100
2	84	100
3	139	100
4	158	100
5	166	100
6	206	100
7	304	100
8	320	100
9	356	100
10	357	100
0	357	100

analyze0.0ms (0%)

sample1.2s (20.5%)

preprocess81.0ms (1.4%)

explain138.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (1.3%)

localize71.0ms (1.2%)

series9.0ms (0.1%)

rewrite308.0ms (5.3%)

simplify115.0ms (2%)

eval146.0ms (2.5%)

prune62.0ms (1.1%)

simplify63.0ms (1.1%)

localize125.0ms (2.2%)

series3.0ms (0.1%)

rewrite331.0ms (5.7%)

simplify118.0ms (2%)

eval127.0ms (2.2%)

prune47.0ms (0.8%)

simplify37.0ms (0.6%)

localize158.0ms (2.7%)

series5.0ms (0.1%)

rewrite351.0ms (6%)

simplify139.0ms (2.4%)

eval98.0ms (1.7%)

prune67.0ms (1.2%)

simplify15.0ms (0.3%)

localize140.0ms (2.4%)

series6.0ms (0.1%)

rewrite323.0ms (5.5%)

simplify259.0ms (4.4%)

eval86.0ms (1.5%)

prune92.0ms (1.6%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

bsearch23.0ms (0.4%)

simplify9.0ms (0.1%)

soundness905.0ms (15.5%)

preprocess62.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	117
1	47	100
2	84	100
3	139	100
4	158	100
5	166	100
6	206	100
7	304	100
8	320	100
9	356	100
10	357	100
0	357	100