Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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 15 to 12 computations (20% saved)

sample778.0ms (15.6%)

Memory

51.1MiB live, 1 087.0MiB allocated

Samples

502.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

ival-mult: 210.0ms (61.4% of total)

ival-sub: 60.0ms (17.5% of total)

ival-add: 52.0ms (15.2% of total)

exact: 11.0ms (3.2% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain149.0ms (3%)

Memory

-49.9MiB live, 174.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
-	-	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`(*.f64 x #s(literal 4 binary64))`
-	-	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
-	-	`x`
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (67.3% of total)

ival-sub: 2.0ms (10.4% of total)

ival-add: 2.0ms (10.4% of total)

exact: 1.0ms (5.2% of total)

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

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

preprocess111.0ms (2.2%)

Memory

34.4MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	50	24
2	158	22
3	522	18
4	1161	18
5	1496	18
6	1586	18
7	1595	18
8	1595	18
9	1599	18
0	10	13
0	16	13
1	37	11
2	75	11
3	167	9
4	282	9
5	386	9
6	595	9
7	1012	9
8	1390	9
9	1490	9
10	1530	9
11	1536	9
12	1536	9
0	1536	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify52.0ms (1.1%)

Memory

-2.9MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
cost-diff	1	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff	2	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
cost-diff	3	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	37	42
2	75	42
3	167	40
4	282	40
5	386	40
6	595	40
7	1012	40
8	1390	40
9	1490	40
10	1530	40
11	1536	40
12	1536	40
0	1536	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
#s(literal 1 binary64)

localize32.0ms (0.6%)

Memory

-30.6MiB live, 52.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.08203125	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy	0.1640625	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

21.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 6.0ms (49.6% of total)

ival-add: 4.0ms (33.1% of total)

ival-sub: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

5 → 17

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(* -4 x)
(* x (- (* 3 x) 4))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* 3 x)
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))
1.0ms	x	@	inf	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))
1.0ms	x	@	-inf	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))

Time

Variable

Point

Expression

5.0ms

((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))

1.0ms

inf

((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))

1.0ms

-inf

((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))

simplify169.0ms (3.4%)

Memory

21.8MiB live, 96.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	105
1	137	105
2	339	105
3	770	105
4	1994	103
5	4453	103
6	6122	103
7	7985	103
0	8005	86

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
(* -4 x)
(* x (- (* 3 x) 4))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* 3 x)
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))

Outputs
(* -4 x)
(*.f64 #s(literal -4 binary64) x)
(* x (- (* 3 x) 4))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))

rewrite297.0ms (6%)

Memory

5.2MiB live, 284.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	16	41
1	61	35
2	459	35
3	7413	35
0	8650	30

Stop Event

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

Counts

5 → 343

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) x) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 #s(literal -4 binary64) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (pow.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -4 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal -1 binary64)))
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(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) x) #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -4 binary64) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 4 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) x) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))))))
(-.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 16 binary64) x) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) x))
(+.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 3 binary64) x) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -4 binary64) x) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval73.0ms (1.5%)

Memory: -24.5MiB live, 100.1MiB allocated
Compiler: Compiled 10 081 to 1 171 computations (88.4% saved)

prune22.0ms (0.4%)

Memory

-9.0MiB live, 30.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	348	7	355
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	349	7	356

Accuracy

100.0%

Counts

356 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
▶	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
▶	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	48.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	51.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 222 to 168 computations (24.3% saved)

simplify72.0ms (1.4%)

Memory

17.2MiB live, 55.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
cost-diff	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
cost-diff	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	139
0	31	139
1	61	129
2	103	109
3	198	109
4	312	109
5	417	109
6	627	109
7	1037	109
8	1420	109
9	1520	109
10	1560	109
11	1566	109
12	1566	109
0	1566	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
#s(literal 9 binary64)
x
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(literal -12 binary64)
x
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
#s(literal 9 binary64)
x
#s(literal -12 binary64)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
#s(literal 9 binary64)
x
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(literal -12 binary64)
x
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
#s(literal 9 binary64)
x
#s(literal -12 binary64)

localize87.0ms (1.8%)

Memory

23.4MiB live, 60.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.14453125	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	32.566178737372404	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.16369879138909577	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	32.89575962273064	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	0.0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	30.521443193181923	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
accuracy	31.003046150056452	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0.0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

62.0ms	215×	0	valid
7.0ms	20×	1	valid
6.0ms	21×	2	valid

Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 16.0ms (62.4% of total)

ival-add: 5.0ms (19.5% of total)

adjust: 2.0ms (7.8% of total)

ival-sub: 1.0ms (3.9% of total)

exact: 1.0ms (3.9% of total)

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

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

series27.0ms (0.6%)

Memory

-35.0MiB live, 9.1MiB allocated

Counts

11 → 17

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)

Outputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
-12
(- (* 9 x) 12)
(* 9 (pow x 2))
(pow x 2)
(* -12 x)
(* x (- (* 9 x) 12))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- (* 3 (/ 1 x)) 12))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))
1.0ms	x	@	-inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))
1.0ms	x	@	0	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))

Time

Variable

Point

Expression

25.0ms

inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))

1.0ms

-inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))

1.0ms

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))

simplify171.0ms (3.4%)

Memory

36.5MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	87
1	101	87
2	272	87
3	669	87
4	1729	87
5	3489	87
6	5215	87
7	6508	87
8	7695	87
0	8125	73

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
-12
(- (* 9 x) 12)
(* 9 (pow x 2))
(pow x 2)
(* -12 x)
(* x (- (* 9 x) 12))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- (* 3 (/ 1 x)) 12))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))

rewrite209.0ms (4.2%)

Memory

-30.1MiB live, 273.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
0	31	122
1	124	112
2	866	112
0	8335	102

Stop Event

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

Counts

11 → 167

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 4 binary64)) #s(literal 81 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 6 binary64)) #s(literal 729 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 6 binary64)) #s(literal 729 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 9 binary64)) #s(literal 19683 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 6 binary64)) (-.f64 #s(literal 729 binary64) (.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) x) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) x) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64))) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))
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(.f64 (.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) x) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64))) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (-.f64 (.f64 #s(literal -12 binary64) x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 #s(literal 144 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal -12 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 #s(literal -12 binary64) x) (.f64 (.f64 x x) #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) x)) (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) x)) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)))) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) x) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) (*.f64 x (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 #s(literal -12 binary64) x))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
(fma.f64 #s(literal -12 binary64) x (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 #s(literal -12 binary64) x))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x))
(fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 #s(literal -12 binary64) x))
(fma.f64 x #s(literal -12 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))
(+.f64 (.f64 #s(literal -12 binary64) x) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 #s(literal -12 binary64) x))

eval200.0ms (4%)

Memory: -2.0MiB live, 36.8MiB allocated
Compiler: Compiled 7 145 to 766 computations (89.3% saved)

prune9.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	211	5	216
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	212	11	223

Accuracy

100.0%

Counts

223 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
✓	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	48.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	48.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
▶	48.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	3.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	51.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 319 to 239 computations (25.1% saved)

simplify65.0ms (1.3%)

Memory

-24.7MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
cost-diff	2	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 9 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 9 binary64) x) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
cost-diff	0	(*.f64 #s(literal -12 binary64) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
cost-diff	1	(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
cost-diff	0	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
cost-diff	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	2	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	151
0	40	147
1	77	139
2	126	131
3	201	131
4	305	131
5	408	131
6	623	131
7	1047	131
8	1452	131
9	1583	131
10	1655	131
11	1665	131
12	1667	131
13	1670	131
14	1672	131
0	1672	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
#s(literal -12 binary64)
x
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal -12 binary64) x)
#s(literal -12 binary64)
x
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
#s(literal -12 binary64)
x
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(*.f64 #s(literal -12 binary64) x)
#s(literal -12 binary64)
x
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)

localize345.0ms (6.9%)

Memory

8.9MiB live, 81.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.24970629884221007	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
accuracy	32.89575962273064	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
accuracy	0.0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.1171875	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	32.89575962273064	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
accuracy	0.0	(*.f64 #s(literal -12 binary64) x)
accuracy	0.078125	(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
accuracy	30.521443193181923	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
accuracy	0.14453125	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
accuracy	31.184216637273654	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
accuracy	32.566178737372404	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
accuracy	0.0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))

Samples

318.0ms	215×	0	valid
7.0ms	20×	1	valid
6.0ms	21×	2	valid

Compiler

Compiled 124 to 24 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 83.0ms (89.6% of total)

ival-add: 5.0ms (5.4% of total)

adjust: 2.0ms (2.2% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

15 → 18

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(*.f64 x x)
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
(*.f64 #s(literal -12 binary64) x)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(*.f64 #s(literal 9 binary64) x)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))

Outputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(pow x 2)
(* -12 x)
(* x (- (* 9 x) 12))
-12
(- (* 9 x) 12)
(* 9 (pow x 2))
(* 9 x)
(* 3 x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((+ (* (* x x) 9) (+ (* -12 x) 3)) (* x x) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* -12 x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* 9 x) x) (* 9 x) (* (* x 3) (* x 3)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* x 3))

2.0ms

inf

((+ (* (* x x) 9) (+ (* -12 x) 3)) (* x x) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* -12 x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* 9 x) x) (* 9 x) (* (* x 3) (* x 3)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* x 3))

1.0ms

((+ (* (* x x) 9) (+ (* -12 x) 3)) (* x x) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* -12 x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* 9 x) x) (* 9 x) (* (* x 3) (* x 3)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* x 3))

simplify161.0ms (3.2%)

Memory

-19.9MiB live, 101.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	90
1	103	90
2	274	90
3	670	90
4	1702	90
5	3452	90
6	5177	90
7	6449	90
8	7640	90
0	8062	76

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(pow x 2)
(* -12 x)
(* x (- (* 9 x) 12))
-12
(- (* 9 x) 12)
(* 9 (pow x 2))
(* 9 x)
(* 3 x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))

rewrite174.0ms (3.5%)

Memory

28.8MiB live, 259.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	138
0	40	134
1	142	126
2	1009	126
0	8324	113

Stop Event

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

Counts

15 → 192

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(*.f64 x x)
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
(*.f64 #s(literal -12 binary64) x)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(*.f64 #s(literal 9 binary64) x)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -3 binary64))))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x)))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))))
(.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))) (.f64 (.f64 #s(literal -12 binary64) x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))))))
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 12 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x)))
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -3 binary64)) (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x)) (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 3 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(fma.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (.f64 #s(literal 144 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 #s(literal -12 binary64) x))) #s(literal 3 binary64))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64))) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 144 binary64) (.f64 x x))) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 144 binary64) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (*.f64 x #s(literal -36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -36 binary64))))))
(/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) #s(literal 27 binary64)) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 144 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (*.f64 x #s(literal -36 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -12 binary64) x))) (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -12 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64)))))
(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(*.f64 #s(literal -12 binary64) x)
(*.f64 x #s(literal -12 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 #s(literal 9 binary64) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 9 binary64) x) x)))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 #s(literal 9 binary64) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 9 binary64) x) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))

eval52.0ms (1%)

Memory: -21.6MiB live, 68.9MiB allocated
Compiler: Compiled 3 684 to 493 computations (86.6% saved)

prune6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	159	11	170

Accuracy

100.0%

Counts

170 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
▶	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
✓	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	48.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	48.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	48.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	3.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	51.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 206 to 155 computations (24.8% saved)

simplify54.0ms (1.1%)

Memory

-8.0MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -12 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
cost-diff	2	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
0	20	39
1	46	35
2	90	33
3	176	33
4	291	33
5	395	33
6	604	33
7	1010	33
8	1394	33
9	1492	33
10	1532	33
11	1538	33
12	1538	33
0	1538	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 #s(literal -12 binary64) x)
#s(literal -12 binary64)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 #s(literal -12 binary64) x)
#s(literal -12 binary64)

localize43.0ms (0.9%)

Memory

13.7MiB live, 92.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal -12 binary64) x)
accuracy	0.15234375	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
accuracy	32.566178737372404	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))

Samples

32.0ms	238×	0	valid
2.0ms	11×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 33 to 18 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (61.6% of total)

ival-add: 8.0ms (29% of total)

adjust: 1.0ms (3.6% of total)

ival-sub: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

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

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

series2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 10

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -12 binary64) x)

Outputs
(* -12 x)
(* x (- (* 9 x) 12))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(pow x 2)
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* (* x x) 9) (* -12 x)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* x x) (* -12 x))

1.0ms

inf

((+ (* (* x x) 9) (* -12 x)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* x x) (* -12 x))

0.0ms

((+ (* (* x x) 9) (* -12 x)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* x x) (* -12 x))

simplify159.0ms (3.2%)

Memory

-10.8MiB live, 111.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	58
1	78	58
2	188	58
3	431	58
4	1180	58
5	2813	58
6	4398	58
7	5749	58
8	6430	58
9	7062	58
10	7605	58
0	8054	49

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
(* -12 x)
(* x (- (* 9 x) 12))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(pow x 2)
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))

Outputs
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

rewrite184.0ms (3.7%)

Memory

-14.7MiB live, 254.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
0	20	36
1	84	32
2	657	30
0	8569	26

Stop Event

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

Counts

4 → 129

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -12 binary64) x)

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) x) (/.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (*.f64 x x))) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (*.f64 x x))) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (.f64 x x)))) (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 144 binary64) x) x (.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 #s(literal -144 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x)))))))
(.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (pow.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) (.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 #s(literal -144 binary64) (.f64 x x))) (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal -1 binary64)))
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(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (neg.f64 (.f64 (/.f64 (*.f64 #s(literal 144 binary64) x) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 9 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 144 binary64) x) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))))
(fma.f64 #s(literal 12 binary64) (neg.f64 x) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 #s(literal -12 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal -4 binary64) x) #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 144 binary64) x) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -12 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal -4 binary64) x) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x) (*.f64 #s(literal -12 binary64) x))
(fma.f64 #s(literal -12 binary64) x (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 #s(literal -12 binary64) x))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal -12 binary64) x))
(fma.f64 x (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x))
(fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 #s(literal -12 binary64) x))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(-.f64 (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 #s(literal 9 binary64) x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (.f64 x (-.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))))
(-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 81 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) (.f64 (/.f64 (*.f64 #s(literal 144 binary64) x) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 81 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) (neg.f64 (.f64 (/.f64 (*.f64 #s(literal 144 binary64) x) x) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal -12 binary64) x))
(+.f64 (.f64 #s(literal -12 binary64) x) (.f64 #s(literal 9 binary64) (*.f64 x x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal 4 binary64))
(.f64 #s(literal -3 binary64) (.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 12 binary64) (neg.f64 x))
(.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) #s(literal 12 binary64))
(.f64 (.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal -4 binary64) x))
(*.f64 #s(literal -12 binary64) x)
(*.f64 x #s(literal -12 binary64))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 4 binary64) x)))
(neg.f64 (.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)))

eval38.0ms (0.8%)

Memory: 12.2MiB live, 70.3MiB allocated
Compiler: Compiled 4 484 to 518 computations (88.4% saved)

prune8.0ms (0.2%)

Memory

-16.0MiB live, 22.9MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	136	11	147

Accuracy

100.0%

Counts

147 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
✓	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	48.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	48.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	48.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	3.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	51.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 434 to 209 computations (51.8% saved)

regimes18.0ms (0.4%)

Memory

20.1MiB live, 58.5MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))

Calls

4 calls:

5.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
4.0ms	x
4.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes12.0ms (0.2%)

Memory

-12.6MiB live, 27.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))

Outputs

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))

Calls

4 calls:

4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.7%	3	`x`
97.7%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
97.7%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.7%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes9.0ms (0.2%)

Memory

-22.4MiB live, 19.8MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))

Calls

3 calls:

4.0ms

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

2.0ms

(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

2.0ms

(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
96.8%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
96.8%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
96.8%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))

Calls

4 calls:

2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
52.3%	1	`x`
52.3%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
52.3%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
52.3%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total -31.0b remaining (-99.9%)

Threshold costs -31b (-99.9%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Calls

4 calls:

1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	x
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
51.6%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
51.6%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
51.6%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
51.6%	1	`x`

Compiler

Compiled 34 to 27 computations (20.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.020475307367017474	10.512462938904296

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	10.512462938904296	180499.1910315908

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify154.0ms (3.1%)

Memory

-16.3MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	153
1	59	139
2	111	139
3	211	139
4	405	139
5	689	139
6	1393	139
7	2567	139
8	7057	139

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 20 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

soundness969.0ms (19.5%)

Memory

-8.3MiB live, 227.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
0	31	122
1	124	112
2	866	112
0	8335	102
0	51	105
1	137	105
2	339	105
3	770	105
4	1994	103
5	4453	103
6	6122	103
7	7985	103
0	8005	86

Stop Event

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

Compiler

Compiled 196 to 73 computations (62.8% saved)

preprocess35.0ms (0.7%)

Memory: 23.4MiB live, 62.8MiB allocated
Compiler: Compiled 354 to 108 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample778.0ms (15.6%)

explain149.0ms (3%)

preprocess111.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (1.1%)

localize32.0ms (0.6%)

series8.0ms (0.2%)

simplify169.0ms (3.4%)

rewrite297.0ms (6%)

eval73.0ms (1.5%)

prune22.0ms (0.4%)

simplify72.0ms (1.4%)

localize87.0ms (1.8%)

series27.0ms (0.6%)

simplify171.0ms (3.4%)

rewrite209.0ms (4.2%)

eval200.0ms (4%)

prune9.0ms (0.2%)

simplify65.0ms (1.3%)

localize345.0ms (6.9%)

series5.0ms (0.1%)

simplify161.0ms (3.2%)

rewrite174.0ms (3.5%)

eval52.0ms (1%)

prune6.0ms (0.1%)

simplify54.0ms (1.1%)

localize43.0ms (0.9%)

series2.0ms (0%)

simplify159.0ms (3.2%)

rewrite184.0ms (3.7%)

eval38.0ms (0.8%)

prune8.0ms (0.2%)

regimes18.0ms (0.4%)

regimes12.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify154.0ms (3.1%)

soundness969.0ms (19.5%)

preprocess35.0ms (0.7%)

end0.0ms (0%)

Profiling