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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.0s (20.7%)

Memory

55.7MiB live, 1 225.8MiB allocated

Samples

607.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 264.0ms (72% of total)

ival-sub: 46.0ms (12.5% of total)

ival-add: 36.0ms (9.8% of total)

exact: 12.0ms (3.3% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain188.0ms (3.8%)

Memory

-23.0MiB live, 121.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions

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

ival-mult: 17.0ms (74% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

exact: 1.0ms (4.4% of total)

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

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

preprocess148.0ms (3%)

Memory

-29.4MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify52.0ms (1%)

Memory

34.6MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
cost-diff	128	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff	320	(.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	448	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (1.2%)

Memory

1.3MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	0.0703125	(.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	0.140625	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

51.0ms

256×

valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

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

ival-mult: 6.0ms (66.8% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.6%)

Memory

-32.4MiB live, 4.2MiB allocated

Counts

5 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))
1.0ms	x	@	inf	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))
1.0ms	x	@	-inf	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))

Time

Variable

Point

Expression

29.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify226.0ms (4.5%)

Memory

34.3MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite337.0ms (6.7%)

Memory

-5.4MiB live, 189.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 343

Calls

Call 1

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

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

eval62.0ms (1.3%)

Memory: 8.2MiB live, 81.4MiB allocated
Compiler: Compiled 10 081 to 1 171 computations (88.4% saved)

prune44.0ms (0.9%)

Memory

-30.2MiB live, 22.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	347	8	355
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	348	8	356

Accuracy

100.0%

Counts

356 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
	99.9%	(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
▶	57.8%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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)))
	57.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	44.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	44.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	57.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 258 to 196 computations (24% saved)

simplify74.0ms (1.5%)

Memory

3.6MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
cost-diff	320	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
cost-diff	0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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	26	145
0	40	143
1	78	125
2	134	119
3	245	119
4	347	119
5	450	119
6	664	119
7	1073	119
8	1453	119
9	1551	119
10	1591	119
11	1597	119
12	1597	119
0	1597	117

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

localize79.0ms (1.6%)

Memory

24.9MiB live, 97.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0.05078125	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
accuracy	0.05078125	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
accuracy	0.0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
accuracy	0.0703125	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
accuracy	26.961390334288986	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.13671875	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	35.6635472695298	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	27.471593814502256	#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	0.046875	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

59.0ms	236×	0	valid
3.0ms	9×	2	valid
3.0ms	11×	1	valid

Compiler

Compiled 274 to 56 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-add: 26.0ms (49.9% of total)

ival-mult: 22.0ms (42.2% of total)

adjust: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series14.0ms (0.3%)

Memory

-32.8MiB live, 14.8MiB allocated

Counts

13 → 29

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

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

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	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) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (+ (* -4 x) 1) (+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4))
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) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (+ (* -4 x) 1) (+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4))
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) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (+ (* -4 x) 1) (+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4))

Time

Variable

Point

Expression

10.0ms

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

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

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

simplify103.0ms (2.1%)

Memory

37.5MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	153
1	170	153
2	454	151
3	1098	151
4	2311	151
5	5163	151
6	7895	151
0	8144	126

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

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

rewrite166.0ms (3.3%)

Memory

-18.1MiB live, 292.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	40	129
1	165	105
2	1243	105
0	8327	103

Stop Event

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

Counts

13 → 450

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)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
(fma.f64 #s(literal 3 binary64) x #s(literal -4 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)))
(.f64 (.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (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 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #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)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal -3 binary64))) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64))))
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(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -4 binary64))))
(-.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -4 binary64)))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))

eval71.0ms (1.4%)

Memory: -0.1MiB live, 106.3MiB allocated
Compiler: Compiled 10 319 to 1 282 computations (87.6% saved)

prune9.0ms (0.2%)

Memory

-11.3MiB live, 27.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	362	2	364
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	363	9	372

Accuracy

100.0%

Counts

372 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
▶	99.9%	(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
✓	57.8%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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)))
▶	57.9%	#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)))
▶	44.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	44.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	44.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	57.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 154 to 117 computations (24% saved)

simplify66.0ms (1.3%)

Memory

10.6MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
cost-diff	0	(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
cost-diff	320	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
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))
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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	125
0	38	123
1	72	111
2	130	103
3	226	103
4	322	103
5	426	103
6	639	103
7	1060	103
8	1463	103
9	1594	103
10	1674	103
11	1696	103
12	1705	103
13	1714	103
14	1724	103
15	1727	103
0	1727	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize95.0ms (1.9%)

Memory

-15.8MiB live, 104.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0.046875	(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
accuracy	0.125	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
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	0.046875	(fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))
accuracy	27.58207905274007	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
accuracy	0.0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.18359375	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	35.59058699957694	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0.0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.1171875	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	35.6635472695298	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))

Samples

42.0ms	24×	2	valid
31.0ms	209×	0	valid
6.0ms	23×	1	valid

Compiler

Compiled 237 to 55 computations (76.8% saved)

Precisions

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

ival-mult: 45.0ms (79% of total)

ival-add: 7.0ms (12.3% of total)

adjust: 3.0ms (5.3% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

12 → 19

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify127.0ms (2.5%)

Memory

-14.2MiB live, 108.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	93
1	117	93
2	300	93
3	695	93
4	1669	93
5	4006	93
6	5964	93
7	7266	93
0	8038	78

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite166.0ms (3.3%)

Memory

25.0MiB live, 306.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	114
0	38	114
1	147	98
2	1034	98
0	8460	94

Stop Event

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

Counts

12 → 327

Calls

Call 1

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

Outputs
#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)) #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 #s(literal 9 binary64) x))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
(.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) x) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 27 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 #s(literal 4 binary64) x) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) x) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) x) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x))) (pow.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
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(.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)))
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(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(-.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
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eval44.0ms (0.9%)

Memory: -9.8MiB live, 102.6MiB allocated
Compiler: Compiled 9 659 to 1 156 computations (88% saved)

prune11.0ms (0.2%)

Memory

-18.9MiB live, 27.3MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	337	10	347

Accuracy

100.0%

Counts

347 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
✓	99.9%	(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
✓	57.8%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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)))
✓	57.9%	#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)))
✓	44.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	44.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	44.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	3.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	57.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 177 to 135 computations (23.7% saved)

simplify94.0ms (1.9%)

Memory

20.0MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

cost-diff

#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))

cost-diff

(*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)

cost-diff

#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	17	41
0	18	41
1	42	39
2	80	39
3	170	37
4	284	37
5	390	37
6	603	37
7	1020	37
8	1412	37
9	1542	37
10	1614	37
11	1624	37
12	1626	37
13	1629	37
14	1631	37
0	1631	32

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

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

localize83.0ms (1.7%)

Memory

-15.4MiB live, 21.7MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

accuracy

0.18359375

(*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)

accuracy

27.58207905274007

#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))

accuracy

35.59058699957694

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

Samples

16.0ms	221×	0	valid
3.0ms	17×	2	valid
2.0ms	18×	1	valid

Compiler

Compiled 70 to 35 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (61% of total)

ival-add: 3.0ms (20.3% of total)

adjust: 1.0ms (6.8% of total)

ival-sub: 1.0ms (6.8% of total)

exact: 1.0ms (6.8% of total)

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

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

series2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

3 → 14

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))

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

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

simplify142.0ms (2.8%)

Memory

16.8MiB live, 50.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	74
1	91	74
2	231	74
3	550	74
4	1458	74
5	3771	74
6	5560	74
7	6783	74
8	7850	74
0	8009	62

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

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

rewrite290.0ms (5.8%)

Memory

-2.1MiB live, 121.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	39
0	18	39
1	80	37
2	596	37
0	8619	32

Stop Event

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

Counts

3 → 4

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))

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))

eval1.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 289 to 46 computations (84.1% saved)

prune5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	13	10	23

Accuracy

100.0%

Counts

23 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
✓	99.9%	(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
✓	57.8%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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)))
✓	57.9%	#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)))
✓	44.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	44.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	44.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	3.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	57.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 385 to 188 computations (51.2% saved)

regimes14.0ms (0.3%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

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

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

Results

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes71.0ms (1.4%)

Memory

-27.1MiB live, 11.7MiB allocated

Counts

8 → 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))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))

Calls

4 calls:

63.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	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)))`
98.5%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.5%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes7.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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))

2.0ms

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

Results

Accuracy	Segments	Branch
98.0%	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)))`
98.0%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.0%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (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
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
57.9%	1	`x`
57.9%	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)))`
57.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
57.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -34.6b remaining (-125.8%)

Threshold costs -34.6b (-125.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.1%	1	`x`
57.1%	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)))`
57.1%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
57.1%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002427439984950322	364722.34621891344

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002427439984950322	364722.34621891344

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify114.0ms (2.3%)

Memory

-18.8MiB live, 65.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	153
1	57	139
2	109	139
3	209	139
4	406	139
5	689	139
6	1393	139
7	2554	139
8	7041	139

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/288230376151711744 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))

soundness836.0ms (16.7%)

Memory

-4.0MiB live, 309.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	40	129
1	165	105
2	1243	105
0	8327	103
0	51	105
1	137	105
2	339	105
3	770	105
4	1994	103
5	4453	103
6	6122	103
7	7985	103
0	8005	86

Stop Event

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

Compiler

Compiled 196 to 71 computations (63.8% saved)

preprocess111.0ms (2.2%)

Memory: 3.2MiB live, 81.4MiB allocated
Compiler: Compiled 354 to 104 computations (70.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (20.7%)

explain188.0ms (3.8%)

preprocess148.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (1%)

localize59.0ms (1.2%)

series32.0ms (0.6%)

simplify226.0ms (4.5%)

rewrite337.0ms (6.7%)

eval62.0ms (1.3%)

prune44.0ms (0.9%)

simplify74.0ms (1.5%)

localize79.0ms (1.6%)

series14.0ms (0.3%)

simplify103.0ms (2.1%)

rewrite166.0ms (3.3%)

eval71.0ms (1.4%)

prune9.0ms (0.2%)

simplify66.0ms (1.3%)

localize95.0ms (1.9%)

series4.0ms (0.1%)

simplify127.0ms (2.5%)

rewrite166.0ms (3.3%)

eval44.0ms (0.9%)

prune11.0ms (0.2%)

simplify94.0ms (1.9%)

localize83.0ms (1.7%)

series2.0ms (0%)

simplify142.0ms (2.8%)

rewrite290.0ms (5.8%)

eval1.0ms (0%)

prune5.0ms (0.1%)

regimes14.0ms (0.3%)

regimes71.0ms (1.4%)

regimes7.0ms (0.1%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify114.0ms (2.3%)

soundness836.0ms (16.7%)

preprocess111.0ms (2.2%)

end0.0ms (0%)

Profiling