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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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)

sample1.2s (22.8%)

Memory

70.0MiB live, 1 721.1MiB allocated; 360ms collecting garbage

Samples

728.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

ival-mult: 357.0ms (78.3% of total)

ival-add: 40.0ms (8.8% of total)

ival-sub: 37.0ms (8.1% of total)

exact: 10.0ms (2.2% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain383.0ms (7.4%)

Memory

7.3MiB live, 330.2MiB allocated; 34ms collecting garbage

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

193.0ms

512×

valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 67.0ms (92.4% of total)

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

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

exact: 1.0ms (1.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess129.0ms (2.5%)

Memory

5.4MiB live, 154.2MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	43	24
2	116	22
3	280	18
4	577	18
5	949	18
6	1454	18
7	1601	18
8	1731	18
9	1847	18
10	1899	18
11	1911	18
12	1931	18
13	1951	18
14	1971	18
0	10	13
0	16	13
1	35	11
2	63	11
3	166	11
4	380	9
5	716	9
6	1139	9
7	1263	9
8	1361	9
9	1426	9
10	1506	9
11	1607	9
12	1665	9
13	1689	9
14	1699	9
0	1699	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)

eval27.0ms (0.5%)

Memory: -47.1MiB live, 0.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune2.0ms (0%)

Memory

9.1MiB live, 9.2MiB allocated; 0ms collecting garbage

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)

simplify64.0ms (1.2%)

Memory

2.4MiB live, 56.6MiB allocated; 12ms collecting garbage

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	35	42
2	63	42
3	166	42
4	380	40
5	716	40
6	1139	40
7	1263	40
8	1361	40
9	1426	40
10	1506	40
11	1607	40
12	1665	40
13	1689	40
14	1699	40
0	1699	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)

localize34.0ms (0.7%)

Memory

-6.7MiB live, 35.8MiB allocated; 8ms collecting garbage

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	0.10546875	(.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	0.12890625	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

15.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 6.0ms (67.8% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

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
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	@	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))

Time

Variable

Point

Expression

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

((- (* (* 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))

simplify116.0ms (2.3%)

Memory

15.8MiB live, 156.2MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	105
1	142	105
2	339	105
3	1113	105
4	4494	103
0	8506	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))

rewrite302.0ms (5.9%)

Memory

24.1MiB live, 254.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	16	41
1	60	35
2	430	35
3	6480	35
0	8226	30

Stop Event

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

Counts

5 → 284

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

eval40.0ms (0.8%)

Memory: 5.1MiB live, 92.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 8 644 to 1 009 computations (88.3% saved)

prune119.0ms (2.3%)

Memory

-70.2MiB live, 23.4MiB allocated; 113ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	288	8	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	289	8	297

Accuracy

100.0%

Counts

297 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64)))
	99.8%	(fma.f64 (.f64 #s(literal 3 binary64) x) (-.f64 (.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)))
	45.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	57.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 244 to 182 computations (25.4% saved)

simplify101.0ms (1.9%)

Memory

15.3MiB live, 63.4MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 x x)
cost-diff	1	(fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64))
cost-diff	2	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64)))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
cost-diff	0	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
cost-diff	2	(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
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	#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: 0 (0.0ms)

Iter	Nodes	Cost
0	27	127
0	42	122
1	91	110
2	215	104
3	576	104
4	1051	104
5	1440	104
6	1540	104
7	1608	104
8	1662	104
9	1727	104
10	1807	104
11	1908	104
12	1966	104
13	1990	104
14	2000	104
0	2000	103

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

localize182.0ms (3.5%)

Memory

-6.2MiB live, 182.9MiB allocated; 19ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 x)
accuracy	0.07421875	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64)))
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0.078125	(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
accuracy	0.0859375	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.17114758277819153	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	27.632341765169706	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	34.929880089984046	#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	0.0703125	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

76.0ms	227×	0	valid
60.0ms	17×	2	valid
4.0ms	12×	1	valid

Compiler

Compiled 123 to 31 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 103.0ms (81.2% of total)

ival-add: 9.0ms (7.1% of total)

ival-sub: 7.0ms (5.5% of total)

adjust: 6.0ms (4.7% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

13 → 26

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	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)) (* (* x x) 9) (* x x) (+ (* (* x (+ (* 3 x) -4)) 3) 3) (* x (+ (* 3 x) -4)) (+ (* 3 x) -4) (+ (* (* x x) 9) (+ (* 12 (neg x)) 3)) (+ (* 12 (neg x)) 3) (neg x))
2.0ms	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)) (* (* x x) 9) (* x x) (+ (* (* x (+ (* 3 x) -4)) 3) 3) (* x (+ (* 3 x) -4)) (+ (* 3 x) -4) (+ (* (* x x) 9) (+ (* 12 (neg x)) 3)) (+ (* 12 (neg x)) 3) (neg x))
2.0ms	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)) (* (* x x) 9) (* x x) (+ (* (* x (+ (* 3 x) -4)) 3) 3) (* x (+ (* 3 x) -4)) (+ (* 3 x) -4) (+ (* (* x x) 9) (+ (* 12 (neg x)) 3)) (+ (* 12 (neg x)) 3) (neg x))

Time

Variable

Point

Expression

2.0ms

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

2.0ms

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

2.0ms

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

simplify106.0ms (2.1%)

Memory

-0.8MiB live, 184.5MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	131
1	132	131
2	303	131
3	924	129
4	4352	129
0	8215	113

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

rewrite346.0ms (6.7%)

Memory

-17.0MiB live, 420.7MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	110
0	42	105
1	191	87
2	1504	87
0	8267	86

Stop Event

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

Counts

13 → 583

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)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64)))
(fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64))
(neg.f64 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 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #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)) (-.f64 (.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)) (-.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)))) (.f64 (/.f64 #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 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)) (-.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))) (/.f64 #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 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))) (+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 9 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal 9 binary64)))) (+.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (neg.f64 (*.f64 x x)) #s(literal 9 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 #s(literal -9 binary64) (.f64 x x)))) (+.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) x) (.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) x))) (+.f64 #s(literal 3 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) x)))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (neg.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) #s(literal 3 binary64)))) (+.f64 #s(literal 3 binary64) (.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) #s(literal 3 binary64))))
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(/.f64 (-.f64 #s(literal 27 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1728 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 #s(literal 12 binary64) x)))))
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(/.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)))
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(fma.f64 (neg.f64 x) #s(literal 12 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 12 binary64) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 #s(literal -12 binary64) x #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))))
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(-.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 12 binary64)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) (neg.f64 x)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 12 binary64) x))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (neg.f64 x) #s(literal 36 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (*.f64 (neg.f64 x) #s(literal 36 binary64))))))
(+.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (neg.f64 x) #s(literal 36 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (*.f64 (neg.f64 x) #s(literal 36 binary64))))))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 (neg.f64 x) #s(literal 36 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 (neg.f64 x) #s(literal 36 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 (neg.f64 x) #s(literal 36 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 (neg.f64 x) #s(literal 36 binary64))))))
(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(neg.f64 x)

eval64.0ms (1.2%)

Memory: 18.9MiB live, 114.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 13 166 to 1 510 computations (88.5% saved)

prune43.0ms (0.8%)

Memory

-3.0MiB live, 41.3MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	377	5	382
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	380	10	390

Accuracy

100.0%

Counts

390 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
	57.5%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))
✓	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)))
▶	45.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)))
▶	57.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
▶	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 304 to 226 computations (25.7% saved)

simplify83.0ms (1.6%)

Memory

1.1MiB live, 47.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	174
0	39	166
1	75	156
2	143	156
3	363	141
4	754	141
5	1051	141
6	1228	141
7	1314	141
8	1368	141
9	1438	141
10	1518	141
11	1623	141
12	1651	141
13	1675	141
0	1675	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (2.5%)

Memory

-16.6MiB live, 83.0MiB allocated; 18ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.12890625	(.f64 (.f64 x #s(literal 3 binary64)) x)
accuracy	0.16796875	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))
accuracy	27.632341765169706	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.22007753907376804	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
accuracy	27.632341765169706	#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	0.125	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	27.632341765169706	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
accuracy	0.0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)))
accuracy	0.0703125	(fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))
accuracy	35.12513279436446	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
accuracy	0.0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.140625	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	27.135849007658862	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))

Samples

29.0ms	232×	0	valid
4.0ms	13×	2	valid
2.0ms	11×	1	valid

Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 13.0ms (56.4% of total)

ival-add: 6.0ms (26.1% of total)

adjust: 2.0ms (8.7% of total)

ival-sub: 1.0ms (4.3% of total)

exact: 1.0ms (4.3% of total)

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

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

series5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

15 → 16

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify93.0ms (1.8%)

Memory

6.7MiB live, 132.0MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	85
1	96	85
2	224	85
3	715	85
4	3635	85
5	7457	85
0	8271	74

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

rewrite197.0ms (3.8%)

Memory

9.5MiB live, 393.6MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
0	39	151
1	128	141
2	760	141
0	8343	131

Stop Event

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

Counts

15 → 283

Calls

Call 1

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

Outputs
#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)
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 144 binary64) (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal 2 binary64))) x) (-.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) #s(literal 144 binary64))) x) (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64))) x) (neg.f64 (fma.f64 (.f64 #s(literal 81 binary64) x) x (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x)))))
(/.f64 (.f64 x (-.f64 #s(literal 144 binary64) (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(/.f64 (.f64 x (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) #s(literal 144 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 81 binary64) x) x (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -12 binary64) x) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x))) (-.f64 (.f64 #s(literal -12 binary64) x) (.f64 (*.f64 #s(literal 9 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -12 binary64)) (.f64 x #s(literal -12 binary64))) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x))) (-.f64 (.f64 x #s(literal -12 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x)) (.f64 (.f64 #s(literal -12 binary64) x) (.f64 #s(literal -12 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -12 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x)) (.f64 (.f64 x #s(literal -12 binary64)) (.f64 x #s(literal -12 binary64)))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (*.f64 x #s(literal -12 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -12 binary64) x) (.f64 #s(literal -12 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x)) (.f64 (.f64 #s(literal -12 binary64) x) (.f64 (.f64 #s(literal 9 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal -12 binary64)) (.f64 x #s(literal -12 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x)) (.f64 (.f64 x #s(literal -12 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x) (-.f64 (.f64 (.f64 #s(literal -12 binary64) x) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 #s(literal -12 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (.f64 #s(literal 9 binary64) x) x) (-.f64 (.f64 (.f64 x #s(literal -12 binary64)) (.f64 x #s(literal -12 binary64))) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 x #s(literal -12 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) #s(literal 144 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))))
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(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal -9 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal -3 binary64))
(.f64 (fabs.f64 x) (.f64 #s(literal 9 binary64) x))
(.f64 (neg.f64 x) (.f64 #s(literal -9 binary64) x))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -3 binary64) x))
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) (fabs.f64 x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) x)))
(.f64 x (.f64 #s(literal 9 binary64) x))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.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 x #s(literal 3 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 #s(literal -9 binary64) x) x))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (*.f64 #s(literal 9 binary64) x) x)))
(fabs.f64 (.f64 (.f64 #s(literal -9 binary64) x) x))
(fabs.f64 (.f64 (.f64 #s(literal 9 binary64) x) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 3 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) x)) (sqrt.f64 (*.f64 #s(literal -3 binary64) x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 9 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 9 binary64) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 x))
(*.f64 (fabs.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) #s(literal -3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (fabs.f64 (fabs.f64 x)))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (fabs.f64 x))
(*.f64 #s(literal 3 binary64) x)
(pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(sqrt.f64 (.f64 (.f64 #s(literal 9 binary64) x) x))
(fabs.f64 (*.f64 #s(literal -3 binary64) x))
(fabs.f64 (*.f64 x #s(literal 3 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -3 binary64)) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal -9 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal -3 binary64))
(.f64 (fabs.f64 x) (.f64 #s(literal 9 binary64) x))
(.f64 (neg.f64 x) (.f64 #s(literal -9 binary64) x))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -3 binary64) x))
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) (fabs.f64 x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) x)))
(.f64 x (.f64 #s(literal 9 binary64) x))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.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 x #s(literal 3 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 #s(literal -9 binary64) x) x))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (.f64 (*.f64 #s(literal 9 binary64) x) x)))
(fabs.f64 (.f64 (.f64 #s(literal -9 binary64) x) x))
(fabs.f64 (.f64 (.f64 #s(literal 9 binary64) x) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
(.f64 (fabs.f64 x) (.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))
(.f64 (.f64 x #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))
(fabs.f64 (.f64 #s(literal -3 binary64) (.f64 x x)))
(fabs.f64 (.f64 (.f64 x #s(literal 3 binary64)) x))

eval137.0ms (2.7%)

Memory: 29.8MiB live, 132.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 9 253 to 933 computations (89.9% saved)

prune11.0ms (0.2%)

Memory

1.4MiB live, 46.5MiB allocated; 5ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	289	11	300

Accuracy

100.0%

Counts

300 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
▶	57.5%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))
✓	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)))
✓	45.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	57.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	4.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 207 to 155 computations (25.1% saved)

simplify62.0ms (1.2%)

Memory

-21.9MiB live, 78.4MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	75
0	30	75
1	63	71
2	132	71
3	330	69
4	682	69
5	973	69
6	1209	69
7	1296	69
8	1366	69
9	1431	69
10	1511	69
11	1612	69
12	1670	69
13	1694	69
14	1704	69
0	1704	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (1.6%)

Memory

13.3MiB live, 105.4MiB allocated; 7ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal -12 binary64) x)
accuracy	0.07421875	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))
accuracy	27.73693327371482	#s(approx (+ (* 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x))
accuracy	0.140625	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
accuracy	27.135849007658862	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
accuracy	35.12513279436446	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))

Samples

59.0ms	210×	0	valid
8.0ms	27×	2	valid
4.0ms	19×	1	valid

Compiler

Compiled 56 to 25 computations (55.4% saved)

Precisions

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

ival-mult: 47.0ms (78.4% of total)

ival-add: 5.0ms (8.3% of total)

adjust: 4.0ms (6.7% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

7 → 17

Calls

Call 1

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

Outputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(* -12 x)
(* x (- (* 9 x) 12))
-12
(- (* 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))))
(* 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

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify90.0ms (1.8%)

Memory

6.2MiB live, 98.0MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	90
1	101	90
2	248	90
3	794	90
4	3825	90
5	7392	90
0	8172	77

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 x)
(* x (- (* 9 x) 12))
-12
(- (* 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))))
(* 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 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))
(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))
(* 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)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 12 binary64) x) #s(literal 9 binary64)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))

rewrite230.0ms (4.4%)

Memory

-21.2MiB live, 214.0MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
0	30	70
1	129	66
2	893	66
0	8871	59

Stop Event

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

Counts

7 → 71

Calls

Call 1

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

Outputs
#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)
(.f64 x #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)))
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x))))) (.f64 (/.f64 (pow.f64 #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x))))))
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(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (+.f64 (pow.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)))))) (/.f64 (pow.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) #s(approx (+ (* 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))))))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (fma.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (fma.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (neg.f64 (pow.f64 #s(approx (+ ( 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))
(+.f64 #s(approx (+ (* 12 (neg x)) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal 4 binary64))
(*.f64 (neg.f64 x) #s(literal 12 binary64))
(*.f64 #s(literal 12 binary64) (neg.f64 x))
(*.f64 #s(literal -12 binary64) x)
(*.f64 x #s(literal -12 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal -4 binary64) x))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 4 binary64) x)))
(neg.f64 (*.f64 #s(literal 12 binary64) x))

eval9.0ms (0.2%)

Memory: 25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 384 to 257 computations (92.4% saved)

prune11.0ms (0.2%)

Memory

-17.1MiB live, 23.7MiB allocated; 8ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	83	11	94

Accuracy

100.0%

Counts

94 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
✓	57.5%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))
✓	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)))
✓	45.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	57.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	56.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	4.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 465 to 221 computations (52.5% saved)

regimes19.0ms (0.4%)

Memory

3.5MiB live, 49.5MiB allocated; 5ms collecting garbage

Counts

15 → 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)) (fma.f64 #s(approx (+ (* 9 x) -12) #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)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( 12 (neg x)) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) x) (-.f64 (.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) (neg.f64 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:

6.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
4.0ms	x
4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	(.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	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 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 #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	`x`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes10.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

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)) (fma.f64 #s(approx (+ (* 9 x) -12) #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:

3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	x
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)))
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
99.3%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
99.3%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.3%	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)))`
99.3%	3	`x`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes11.0ms (0.2%)

Memory

-43.7MiB live, 19.7MiB allocated; 9ms collecting garbage

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)) (fma.f64 #s(approx (+ (* 9 x) -12) #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:

6.0ms

(*.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
98.4%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
98.4%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.4%	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)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes7.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

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)) (fma.f64 #s(approx (+ (* 9 x) -12) #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
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
45.8%	1	`x`
45.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
45.8%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
45.8%	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)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes8.0ms (0.1%)

Memory

-28.9MiB live, 16.4MiB allocated; 4ms collecting garbage

Accuracy

Total -27.1b remaining (-77.5%)

Threshold costs -27.1b (-77.5%)

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:

3.0ms	(+.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 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)))

Results

Accuracy	Segments	Branch
45.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
45.4%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
45.4%	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)))`
45.4%	1	`x`

Compiler

Compiled 34 to 27 computations (20.6% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.652697566572197	18932634153.180252

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.652697566572197	18932634153.180252

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify65.0ms (1.3%)

Memory

0.3MiB live, 44.1MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	161
1	57	147
2	105	147
3	228	147
4	523	147
5	1271	147
6	2452	147
7	2756	147
8	2915	147
9	2917	147
10	2917	147
11	2917	147
12	3065	147

Stop Event

1×

saturated

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 #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 5 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 #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 5 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 #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 5 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 #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 5 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))

derivations427.0ms (8.3%)

Memory

-2.9MiB live, 383.4MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	105
1	142	105
2	339	105
3	1113	105
4	4494	103
0	8506	86
0	27	110
0	42	105
1	191	87
2	1504	87
0	8267	86

Stop Event

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

Compiler

Compiled 161 to 36 computations (77.6% saved)

preprocess226.0ms (4.4%)

Memory: -14.3MiB live, 195.7MiB allocated; 54ms collecting garbage
Compiler: Compiled 370 to 110 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (22.8%)

explain383.0ms (7.4%)

preprocess129.0ms (2.5%)

eval27.0ms (0.5%)

prune2.0ms (0%)

simplify64.0ms (1.2%)

localize34.0ms (0.7%)

series4.0ms (0.1%)

simplify116.0ms (2.3%)

rewrite302.0ms (5.9%)

eval40.0ms (0.8%)

prune119.0ms (2.3%)

simplify101.0ms (1.9%)

localize182.0ms (3.5%)

series6.0ms (0.1%)

simplify106.0ms (2.1%)

rewrite346.0ms (6.7%)

eval64.0ms (1.2%)

prune43.0ms (0.8%)

simplify83.0ms (1.6%)

localize127.0ms (2.5%)

series5.0ms (0.1%)

simplify93.0ms (1.8%)

rewrite197.0ms (3.8%)

eval137.0ms (2.7%)

prune11.0ms (0.2%)

simplify62.0ms (1.2%)

localize84.0ms (1.6%)

series3.0ms (0.1%)

simplify90.0ms (1.8%)

rewrite230.0ms (4.4%)

eval9.0ms (0.2%)

prune11.0ms (0.2%)

regimes19.0ms (0.4%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify65.0ms (1.3%)

derivations427.0ms (8.3%)

preprocess226.0ms (4.4%)

end0.0ms (0%)

Profiling