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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.2s (27.6%)

Memory

29.2MiB live, 812.7MiB allocated

Samples

821.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-mult: 288.0ms (68.1% of total)

ival-sub: 60.0ms (14.2% of total)

ival-add: 50.0ms (11.8% of total)

exact: 14.0ms (3.3% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain208.0ms (5%)

Memory

-16.7MiB live, 141.9MiB 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

33.0ms

512×

valid

Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions

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

ival-mult: 12.0ms (64.7% of total)

ival-sub: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

ival-true: 1.0ms (5.4% of total)

exact: 1.0ms (5.4% of total)

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

preprocess103.0ms (2.5%)

Memory

32.2MiB live, 106.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify49.0ms (1.2%)

Memory

0.4MiB live, 38.1MiB 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)

localize48.0ms (1.1%)

Memory

-3.3MiB live, 43.1MiB 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 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.078125	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy	0.1640625	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

41.0ms

256×

valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

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

ival-mult: 31.0ms (92.3% of total)

ival-sub: 1.0ms (3% of total)

ival-add: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.5%)

Memory

-25.0MiB live, 11.6MiB 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
19.0ms	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))
1.0ms	x	@	0	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))

Time

Variable

Point

Expression

19.0ms

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))

1.0ms

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

simplify112.0ms (2.7%)

Memory

4.8MiB live, 128.2MiB 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))

rewrite272.0ms (6.5%)

Memory

29.1MiB live, 259.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 343

Calls

Call 1

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

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

eval114.0ms (2.7%)

Memory: -6.1MiB live, 83.1MiB allocated
Compiler: Compiled 10 081 to 1 171 computations (88.4% saved)

prune9.0ms (0.2%)

Memory

-10.2MiB live, 27.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	349	6	355
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	6	356

Accuracy

100.0%

Counts

356 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
▶	100.0%	#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)))
▶	52.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	51.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	51.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	51.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 204 to 154 computations (24.5% saved)

simplify103.0ms (2.5%)

Memory

2.4MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize197.0ms (4.7%)

Memory

5.7MiB live, 88.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.1328125	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	31.07868579782719	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.12235128162065376	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	31.16936035267649	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	0.0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	30.647298866824546	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
accuracy	31.086427876568592	#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	0.03125	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

94.0ms	203×	0	valid
79.0ms	23×	2	valid
8.0ms	30×	1	valid

Compiler

Compiled 258 to 46 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 83.0ms (49.3% of total)

adjust: 78.0ms (46.3% of total)

ival-add: 5.0ms (3% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

11 → 17

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

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

1.0ms

-inf

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

1.0ms

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

simplify167.0ms (4%)

Memory

-7.4MiB live, 194.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite137.0ms (3.3%)

Memory

-4.2MiB live, 228.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

11 → 167

Calls

Call 1

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

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

eval27.0ms (0.6%)

Memory: -24.5MiB live, 61.3MiB allocated
Compiler: Compiled 7 145 to 766 computations (89.3% saved)

prune7.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	214	8	222

Accuracy

100.0%

Counts

222 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#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)))
✓	52.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	51.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	51.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	51.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
▶	51.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	4.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	51.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 156 to 117 computations (25% saved)

simplify59.0ms (1.4%)

Memory

5.7MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 9 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 9 binary64) x) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
cost-diff	0	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
cost-diff	0	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	103
0	28	99
1	60	93
2	99	93
3	174	87
4	281	87
5	382	87
6	591	87
7	1006	87
8	1414	87
9	1546	87
10	1618	87
11	1628	87
12	1630	87
13	1633	87
14	1635	87
0	1635	78

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

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

localize44.0ms (1.1%)

Memory

-1.1MiB live, 80.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.2503700683790941	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
accuracy	31.16936035267649	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
accuracy	0.0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.08203125	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	31.16936035267649	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
accuracy	0.1328125	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
accuracy	31.07868579782719	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
accuracy	31.318471008065924	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))

Samples

22.0ms	224×	0	valid
9.0ms	17×	1	valid
3.0ms	15×	2	valid

Compiler

Compiled 180 to 45 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 18.0ms (74.4% of total)

ival-add: 3.0ms (12.4% of total)

adjust: 1.0ms (4.1% of total)

ival-sub: 1.0ms (4.1% of total)

exact: 1.0ms (4.1% of total)

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

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

series3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

9 → 15

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

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

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify120.0ms (2.9%)

Memory

6.2MiB live, 77.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	77
1	93	77
2	233	77
3	554	77
4	1467	77
5	3776	77
6	5573	77
7	6809	77
8	7880	77
0	8039	65

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite185.0ms (4.4%)

Memory

-15.2MiB live, 236.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	97
0	28	93
1	100	87
2	622	87
0	8474	78

Stop Event

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

Counts

9 → 41

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

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

eval4.0ms (0.1%)

Memory: 10.2MiB live, 10.2MiB allocated
Compiler: Compiled 1 018 to 126 computations (87.6% saved)

prune8.0ms (0.2%)

Memory

-25.5MiB live, 12.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	46	8	54

Accuracy

100.0%

Counts

54 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#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)))
✓	52.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	51.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	51.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	51.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	51.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	4.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	51.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 334 to 165 computations (50.6% saved)

regimes15.0ms (0.4%)

Memory

-7.7MiB live, 30.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

5.0ms	x
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
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
100.0%	1	`x`
100.0%	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)))`
100.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
100.0%	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)

regimes10.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
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
99.4%	3	`x`
99.4%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.4%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.4%	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)

regimes8.0ms (0.2%)

Memory

-26.8MiB live, 12.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

2.0ms

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

Results

Accuracy	Segments	Branch
99.0%	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)))`
99.0%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.0%	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)

regimes7.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

3 → 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)))

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

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	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)))`
52.1%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
52.1%	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)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -31.0b remaining (-99.7%)

Threshold costs -31b (-99.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
51.4%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
51.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
51.4%	1	`x`

Compiler

Compiled 34 to 27 computations (20.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9698564865747175e-25	72506539013412.56

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9698564865747175e-25	72506539013412.56

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify118.0ms (2.8%)

Memory

-2.2MiB live, 81.5MiB 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 5444517870735015/10889035741470030830827987437816582766592 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 5444517870735015/10889035741470030830827987437816582766592 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 5444517870735015/10889035741470030830827987437816582766592 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 5444517870735015/10889035741470030830827987437816582766592 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))

soundness818.0ms (19.5%)

Memory

2.0MiB live, 284.3MiB allocated

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
0	23	122
0	31	122
1	124	112
2	866	112
0	8335	102

Stop Event

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

Compiler

Compiled 196 to 71 computations (63.8% saved)

preprocess44.0ms (1%)

Memory: 5.0MiB live, 44.0MiB 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%)

sample1.2s (27.6%)

explain208.0ms (5%)

preprocess103.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify49.0ms (1.2%)

localize48.0ms (1.1%)

series22.0ms (0.5%)

simplify112.0ms (2.7%)

rewrite272.0ms (6.5%)

eval114.0ms (2.7%)

prune9.0ms (0.2%)

simplify103.0ms (2.5%)

localize197.0ms (4.7%)

series5.0ms (0.1%)

simplify167.0ms (4%)

rewrite137.0ms (3.3%)

eval27.0ms (0.6%)

prune7.0ms (0.2%)

simplify59.0ms (1.4%)

localize44.0ms (1.1%)

series3.0ms (0.1%)

simplify120.0ms (2.9%)

rewrite185.0ms (4.4%)

eval4.0ms (0.1%)

prune8.0ms (0.2%)

regimes15.0ms (0.4%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify118.0ms (2.8%)

soundness818.0ms (19.5%)

preprocess44.0ms (1%)

end0.0ms (0%)

Profiling