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)

sample2.2s (31.8%)

Memory

-204.9MiB live, 1 093.2MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sub: 1.0s (67.1% of total)

ival-mult: 430.0ms (28.5% of total)

ival-add: 44.0ms (2.9% of total)

exact: 12.0ms (0.8% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain205.0ms (3%)

Memory

46.1MiB live, 467.6MiB 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

36.0ms

512×

valid

Compiler

Compiled 209 to 79 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (56.2% of total)

ival-sub: 5.0ms (23.4% of total)

ival-add: 2.0ms (9.4% of total)

ival-true: 1.0ms (4.7% of total)

exact: 1.0ms (4.7% of total)

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

preprocess139.0ms (2%)

Memory

-14.5MiB live, 107.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	50	24
2	154	22
3	498	18
4	1114	18
5	1432	18
6	1493	18
7	1500	18
8	1500	18
9	1504	18
0	10	13
0	16	13
1	37	11
2	71	11
3	158	9
4	273	9
5	377	9
6	589	9
7	934	9
8	1230	9
9	1303	9
10	1340	9
11	1346	9
12	1346	9
0	1346	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify106.0ms (1.5%)

Memory

-14.7MiB live, 23.5MiB 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	71	42
3	158	40
4	273	40
5	377	40
6	589	40
7	934	40
8	1230	40
9	1303	40
10	1340	40
11	1346	40
12	1346	40
0	1346	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)

localize23.0ms (0.3%)

Memory

29.7MiB live, 29.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 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	0.08203125	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy	0.125	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

16.0ms

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 (65.2% of total)

ival-sub: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-49.2MiB live, 7.0MiB allocated

Counts

4 → 16

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)

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))
(* (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
16.0ms	x	@	0	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x))
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))
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))

Time

Variable

Point

Expression

16.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify117.0ms (1.7%)

Memory

28.4MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	102
1	137	102
2	323	102
3	756	102
4	1962	100
5	4238	100
6	5965	100
7	7680	100
0	8020	83

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

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))
(* (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))
(* (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))

rewrite220.0ms (3.2%)

Memory

-4.1MiB live, 274.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	38
1	61	32
2	451	32
3	7371	32
0	8608	27

Stop Event

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

Counts

4 → 341

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)

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

eval122.0ms (1.8%)

Memory: 3.5MiB live, 76.7MiB allocated
Compiler: Compiled 10 038 to 1 161 computations (88.4% saved)

prune12.0ms (0.2%)

Memory

-0.2MiB live, 47.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	343	9	352
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	344	9	353

Accuracy

100.0%

Counts

353 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
	99.8%	(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))
	76.4%	(.f64 #s(literal 3 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) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
▶	55.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
▶	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)))
	55.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	47.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	54.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 308 to 226 computations (26.6% saved)

simplify51.0ms (0.7%)

Memory

-5.2MiB live, 32.7MiB 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 #s(literal 3 binary64) x)
cost-diff	320	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 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	142
0	39	140
1	80	116
2	140	116
3	203	116
4	293	116
5	396	116
6	611	116
7	954	116
8	1255	116
9	1326	116
10	1363	116
11	1369	116
12	1369	116
0	1369	114

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

localize114.0ms (1.7%)

Memory

25.3MiB live, 96.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.09603500976844202	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
accuracy	0.08203125	(.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	28.81598186746929	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.12073004138909578	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	33.64183306096623	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	29.430597304652373	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	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

66.0ms	232×	0	valid
4.0ms	11×	2	valid
4.0ms	13×	1	valid

Compiler

Compiled 267 to 55 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 38.0ms (62.3% of total)

ival-mult: 19.0ms (31.2% of total)

adjust: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series43.0ms (0.6%)

Memory

-41.1MiB live, 13.6MiB allocated

Counts

13 → 28

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 #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) 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)))
(* 3 x)
-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))))
(* -4 x)
(* x (- (/ 1 x) 4))
(* 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
39.0ms	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) (+ (* 3 x) -4)) 3) (* 3 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) (+ (* 3 x) -4)) 3) (* 3 x) (+ (* 3 x) -4))
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)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (+ (* -4 x) 1) (+ (* (* 3 x) (+ (* 3 x) -4)) 3) (* 3 x) (+ (* 3 x) -4))

Time

Variable

Point

Expression

39.0ms

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

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

simplify137.0ms (2%)

Memory

25.9MiB live, 133.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	148
1	170	148
2	430	144
3	1065	144
4	2265	144
5	4854	144
6	7466	144
0	8023	120

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

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

rewrite281.0ms (4.1%)

Memory

-14.3MiB live, 258.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	128
0	39	126
1	165	102
2	1246	102
0	8358	100

Stop Event

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

Counts

13 → 393

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 #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) 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 (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))) (.f64 #s(literal 144 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (.f64 #s(literal -12 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #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 (+.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #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))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 #s(literal 9 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64))) (fma.f64 (.f64 #s(literal 9 binary64) x) x (-.f64 #s(literal 16 binary64) (.f64 #s(literal -12 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -4 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (-.f64 #s(literal 16 binary64) (.f64 #s(literal -12 binary64) x))))))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -4 binary64)))))
(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)))

eval49.0ms (0.7%)

Memory: 32.8MiB live, 70.4MiB allocated
Compiler: Compiled 8 452 to 1 026 computations (87.9% saved)

prune66.0ms (1%)

Memory

-29.8MiB live, 21.8MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	284	4	288
Fresh	2	2	4
Picked	0	5	5
Done	0	0	0
Total	286	11	297

Accuracy

100.0%

Counts

297 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
▶	76.4%	(.f64 #s(literal 3 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) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	55.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
	47.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))
▶	47.3%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x #s(literal 3 binary64)) x)))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
▶	55.0%	#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)))
▶	47.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	54.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 336 to 245 computations (27.1% saved)

simplify303.0ms (4.4%)

Memory

25.4MiB live, 101.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x #s(literal 3 binary64)) x))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x #s(literal 3 binary64)) x)))
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))
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	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)
cost-diff	320	(.f64 #s(literal 3 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) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff	1792	(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) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff	6720	(.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	246
0	56	246
1	105	231
2	220	191
3	776	187
4	7288	187
0	8161	180

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.8%)

Memory

-21.4MiB live, 182.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.08203125	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x #s(literal 3 binary64)) x)))
accuracy	0.125	(.f64 (.f64 x #s(literal 3 binary64)) x)
accuracy	33.64660204053512	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.16015625	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	33.28005696704025	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.1015625	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	33.64183306096623	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
accuracy	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	29.60296795517927	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
accuracy	0.08203125	(.f64 #s(literal 3 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) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy	0.16349982896042745	(pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64))
accuracy	14.65640956094787	(.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)))

Samples

41.0ms	35×	1	valid
38.0ms	189×	0	valid
16.0ms	32×	2	valid

Compiler

Compiled 478 to 73 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 51.0ms (66.6% of total)

ival-add: 14.0ms (18.3% of total)

adjust: 6.0ms (7.8% of total)

ival-pow: 4.0ms (5.2% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series8.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

19 → 46

Calls

Call 1

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

Outputs
-1
(- (* 3/2 x) 1)
(- (* x (+ 3/2 (* -9/8 x))) 1)
(- (* x (+ 3/2 (* x (- (* 27/32 x) 9/8)))) 1)
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(* 4 x)
(* x (+ 4 (* 3 x)))
-12
(- (* 9 x) 12)
(* 9 (pow x 2))
(* 9 x)
(* -12 x)
(* x (- (* 9 x) 12))
(* 3 (pow x 2))
(* 3 x)
(/ 1/4 x)
(/ (+ 1/4 (* -3/16 x)) x)
(/ (+ 1/4 (* x (- (* 9/64 x) 3/16))) x)
(/ (+ 1/4 (* x (- (* x (+ 9/64 (* -27/256 x))) 3/16))) x)
(* -4 x)
(* x (- (* 3 x) 4))
(- 1 (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 128/27 (/ 1 (pow x 3)))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (+ 3 (* 4 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(/ 1/3 (pow x 2))
(/ (- 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3))))) (pow x 2))
(+ 1 (* -1 (/ (- 8/3 (* 32/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 8/3 (* -1 (/ (- 32/9 (* 128/27 (/ 1 x))) x))) x)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(/ (+ 1/3 (* -1 (/ (- 4/9 (* 16/27 (/ 1 x))) x))) (pow x 2))
(/ (+ 1/3 (* -1 (/ (+ 4/9 (* -1 (/ (- 16/27 (* 64/81 (/ 1 x))) x))) x))) (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify144.0ms (2.1%)

Memory

-3.5MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	360
1	436	360
2	988	344
3	2178	336
4	5334	336
0	8119	301

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

Inputs
-1
(- (* 3/2 x) 1)
(- (* x (+ 3/2 (* -9/8 x))) 1)
(- (* x (+ 3/2 (* x (- (* 27/32 x) 9/8)))) 1)
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(* 4 x)
(* x (+ 4 (* 3 x)))
-12
(- (* 9 x) 12)
(* 9 (pow x 2))
(* 9 x)
(* -12 x)
(* x (- (* 9 x) 12))
(* 3 (pow x 2))
(* 3 x)
(/ 1/4 x)
(/ (+ 1/4 (* -3/16 x)) x)
(/ (+ 1/4 (* x (- (* 9/64 x) 3/16))) x)
(/ (+ 1/4 (* x (- (* x (+ 9/64 (* -27/256 x))) 3/16))) x)
(* -4 x)
(* x (- (* 3 x) 4))
(- 1 (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 128/27 (/ 1 (pow x 3)))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (+ 3 (* 4 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(/ 1/3 (pow x 2))
(/ (- 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3))))) (pow x 2))
(+ 1 (* -1 (/ (- 8/3 (* 32/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 8/3 (* -1 (/ (- 32/9 (* 128/27 (/ 1 x))) x))) x)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(/ (+ 1/3 (* -1 (/ (- 4/9 (* 16/27 (/ 1 x))) x))) (pow x 2))
(/ (+ 1/3 (* -1 (/ (+ 4/9 (* -1 (/ (- 16/27 (* 64/81 (/ 1 x))) x))) x))) (pow x 2))

Outputs
-1
#s(literal -1 binary64)
(- (* 3/2 x) 1)
(fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 3/2 (* -9/8 x))) 1)
(fma.f64 (fma.f64 #s(literal -9/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64))
(- (* x (+ 3/2 (* x (- (* 27/32 x) 9/8)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/32 binary64) x #s(literal -9/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -1 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
#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))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 3 x)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 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)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (+ 1/4 (* -3/16 x)) x)
(/.f64 (fma.f64 #s(literal -3/16 binary64) x #s(literal 1/4 binary64)) x)
(/ (+ 1/4 (* x (- (* 9/64 x) 3/16))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) x #s(literal -3/16 binary64)) x #s(literal 1/4 binary64)) x)
(/ (+ 1/4 (* x (- (* x (+ 9/64 (* -27/256 x))) 3/16))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -27/256 binary64) x #s(literal 9/64 binary64)) x #s(literal -3/16 binary64)) x #s(literal 1/4 binary64)) x)
(* -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)
(- 1 (* 8/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(- (+ 1 (/ 32/9 (pow x 2))) (* 8/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 32/9 binary64) x)) x))
(- (+ 1 (/ 32/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 128/27 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 128/27 binary64) x)) x)) x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
(* (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 (* 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 (* 4 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (- 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/9 binary64) x)) x) x)
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 16/27 binary64) x)) x)) (*.f64 x x))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3))))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 (-.f64 #s(literal 16/27 binary64) (/.f64 #s(literal 64/81 binary64) x)) x)) x)) x) x)
(+ 1 (* -1 (/ (- 8/3 (* 32/9 (/ 1 x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 32/9 binary64) x)) x))
(+ 1 (* -1 (/ (+ 8/3 (* -1 (/ (- 32/9 (* 128/27 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 128/27 binary64) x)) x)) x))
(* (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))
(* (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))
(/ (+ 1/3 (* -1 (/ (- 4/9 (* 16/27 (/ 1 x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 16/27 binary64) x)) x)) (*.f64 x x))
(/ (+ 1/3 (* -1 (/ (+ 4/9 (* -1 (/ (- 16/27 (* 64/81 (/ 1 x))) x))) x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 (-.f64 #s(literal 16/27 binary64) (/.f64 #s(literal 64/81 binary64) x)) x)) x)) x) x)

rewrite270.0ms (3.9%)

Memory

5.2MiB live, 228.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	222
0	56	222
1	201	167
2	1397	167
0	8631	160

Stop Event

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

Counts

19 → 789

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 64 binary64))) (/.f64 (/.f64 x (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)) (pow.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (-.f64 #s(literal 16 binary64) (*.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1/2 binary64))) x) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 x x))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) x) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 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))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (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 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x))) #s(literal -1 binary64)) x))
(.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))) x) (/.f64 (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 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x))) #s(literal -1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (*.f64 x x))) x))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1 binary64)) x) (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (*.f64 x x))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) x) (/.f64 (*.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 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) x))
(.f64 (/.f64 (.f64 (/.f64 x (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) x) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (/.f64 x (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)) (.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 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 #s(literal -16 binary64) (.f64 x x))) x) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64))) (.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x))))
(/.f64 x (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 x x) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64))) x) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 x #s(literal 3 binary64)) x) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) x) x) (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) x) (neg.f64 (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) x) (/.f64 (.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 3 binary64))) x) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 3 binary64)) x) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) x) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 3 binary64))) x) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 x x) x) (neg.f64 (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 #s(literal -4 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 27 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 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x))) #s(literal -1 binary64)) (neg.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 #s(literal 4 binary64) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x))))))
(fma.f64 (.f64 x #s(literal 3 binary64)) x (.f64 #s(literal -4 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 x) (.f64 (.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -4 binary64) x (.f64 (.f64 x x) #s(literal 3 binary64)))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -4 binary64) x))
(fma.f64 x #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -4 binary64) x))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)) (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 27 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 x #s(literal 3 binary64) #s(literal 4 binary64)) x)))) (/.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 #s(literal 4 binary64) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)))))
(-.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) x))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)) (neg.f64 (.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 27 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 x #s(literal 3 binary64) #s(literal 4 binary64)) x)))) (neg.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 #s(literal 4 binary64) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x))))))
(+.f64 (.f64 #s(literal -4 binary64) x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) x))

eval179.0ms (2.6%)

Memory: -13.7MiB live, 367.8MiB allocated
Compiler: Compiled 36 753 to 3 764 computations (89.8% saved)

prune22.0ms (0.3%)

Memory

18.3MiB live, 94.7MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 001	3	1 004
Fresh	0	1	1
Picked	1	4	5
Done	1	4	5
Total	1 003	12	1 015

Accuracy

100.0%

Counts

1 015 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.1%	(.f64 #s(literal 3 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) #s(approx (pow (* (+ (* 3 x) 4) x) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
✓	55.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
▶	47.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))
✓	47.3%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x #s(literal 3 binary64)) x)))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
▶	47.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64))))
✓	55.0%	#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)))
✓	47.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	3.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))
✓	54.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 254 to 192 computations (24.4% saved)

simplify158.0ms (2.3%)

Memory

-24.8MiB live, 173.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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	0	(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) #s(approx (pow ( (+ (* 3 x) 4) x) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64))
cost-diff	320	(.f64 #s(literal 3 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) #s(approx (pow (* (+ (* 3 x) 4) x) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
cost-diff	0	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))
cost-diff	0	(*.f64 x #s(literal -12 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64))))
cost-diff	320	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
cost-diff	0	(*.f64 #s(literal -12 binary64) x)
cost-diff	0	#s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	260
0	59	260
1	112	246
2	218	244
3	663	244
4	3511	244
5	5255	244
0	8027	232

Stop Event

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

Calls

Call 1

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

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

localize306.0ms (4.5%)

Memory

-0.3MiB live, 123.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 #s(literal 3 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) #s(approx (pow (* (+ (* 3 x) 4) x) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
accuracy	0.3119373289604275	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy	14.65640956094787	(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(approx (pow (* (+ (* 3 x) 4) x) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
accuracy	33.84413973603136	#s(approx (pow (* (+ (* 3 x) 4) x) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
accuracy	0.08203125	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))
accuracy	33.28813228260209	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal -12 binary64))
accuracy	0.16015625	(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
accuracy	33.28005696704025	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64))))
accuracy	0	(*.f64 #s(literal -12 binary64) x)
accuracy	29.491595543930455	#s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x))
accuracy	33.28005696704025	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))

Samples

126.0ms	195×	0	valid
71.0ms	30×	2	valid
13.0ms	31×	1	valid

Compiler

Compiled 481 to 85 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 110.0ms (57.3% of total)

ival-add: 64.0ms (33.3% of total)

adjust: 6.0ms (3.1% of total)

const: 4.0ms (2.1% of total)

ival-pow: 4.0ms (2.1% of total)

ival-div: 2.0ms (1% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series6.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

18 → 49

Calls

Call 1

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

Outputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(* -12 x)
(* x (- (* 9 x) 12))
(pow x 2)
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(* -4 x)
(* x (- (* 3 x) 4))
-4
(- (* 3 x) 4)
(* 4 x)
(* x (+ 4 (* 3 x)))
4
(+ 4 (* 3 x))
(/ 1/4 x)
(/ (+ 1/4 (* -3/16 x)) x)
(/ (+ 1/4 (* x (- (* 9/64 x) 3/16))) x)
(/ (+ 1/4 (* x (- (* x (+ 9/64 (* -27/256 x))) 3/16))) x)
-1
(- (* 3/2 x) 1)
(- (* x (+ 3/2 (* -9/8 x))) 1)
(- (* x (+ 3/2 (* x (- (* 27/32 x) 9/8)))) 1)
(/ 1/3 (pow x 2))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* 4 (/ 1 x))))
(* x (+ 3 (* 4 (/ 1 x))))
(/ (- 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3))))) (pow x 2))
(- 1 (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 128/27 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(/ (+ 1/3 (* -1 (/ (- 4/9 (* 16/27 (/ 1 x))) x))) (pow x 2))
(/ (+ 1/3 (* -1 (/ (+ 4/9 (* -1 (/ (- 16/27 (* 64/81 (/ 1 x))) x))) x))) (pow x 2))
(+ 1 (* -1 (/ (- 8/3 (* 32/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 8/3 (* -1 (/ (- 32/9 (* 128/27 (/ 1 x))) x))) x)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify193.0ms (2.8%)

Memory

-15.8MiB live, 111.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	371
1	441	371
2	998	355
3	2188	347
4	5085	347
0	8110	310

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(* -12 x)
(* x (- (* 9 x) 12))
(pow x 2)
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(* -4 x)
(* x (- (* 3 x) 4))
-4
(- (* 3 x) 4)
(* 4 x)
(* x (+ 4 (* 3 x)))
4
(+ 4 (* 3 x))
(/ 1/4 x)
(/ (+ 1/4 (* -3/16 x)) x)
(/ (+ 1/4 (* x (- (* 9/64 x) 3/16))) x)
(/ (+ 1/4 (* x (- (* x (+ 9/64 (* -27/256 x))) 3/16))) x)
-1
(- (* 3/2 x) 1)
(- (* x (+ 3/2 (* -9/8 x))) 1)
(- (* x (+ 3/2 (* x (- (* 27/32 x) 9/8)))) 1)
(/ 1/3 (pow x 2))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* 4 (/ 1 x))))
(* x (+ 3 (* 4 (/ 1 x))))
(/ (- 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (* 4/9 (/ 1 x))) (pow x 2))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3))))) (pow x 2))
(- 1 (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 1 (/ 32/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 128/27 (/ 1 (pow x 3)))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(/ (+ 1/3 (* -1 (/ (- 4/9 (* 16/27 (/ 1 x))) x))) (pow x 2))
(/ (+ 1/3 (* -1 (/ (+ 4/9 (* -1 (/ (- 16/27 (* 64/81 (/ 1 x))) x))) x))) (pow x 2))
(+ 1 (* -1 (/ (- 8/3 (* 32/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 8/3 (* -1 (/ (- 32/9 (* 128/27 (/ 1 x))) x))) x)))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(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))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 3 x)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)
4
#s(literal 4 binary64)
(+ 4 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (+ 1/4 (* -3/16 x)) x)
(/.f64 (fma.f64 #s(literal -3/16 binary64) x #s(literal 1/4 binary64)) x)
(/ (+ 1/4 (* x (- (* 9/64 x) 3/16))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) x #s(literal -3/16 binary64)) x #s(literal 1/4 binary64)) x)
(/ (+ 1/4 (* x (- (* x (+ 9/64 (* -27/256 x))) 3/16))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -27/256 binary64) x #s(literal 9/64 binary64)) x #s(literal -3/16 binary64)) x #s(literal 1/4 binary64)) x)
-1
#s(literal -1 binary64)
(- (* 3/2 x) 1)
(fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 3/2 (* -9/8 x))) 1)
(fma.f64 (fma.f64 #s(literal -9/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64))
(- (* x (+ 3/2 (* x (- (* 27/32 x) 9/8)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/32 binary64) x #s(literal -9/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -1 binary64))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (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))
(* 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) (+ 3 (* 4 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) x)
(* x (+ 3 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))
(/ (- 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/9 binary64) x)) x) x)
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 16/27 binary64) x)) x)) (*.f64 x x))
(/ (- (+ 1/3 (/ 16/27 (pow x 2))) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3))))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 (-.f64 #s(literal 16/27 binary64) (/.f64 #s(literal 64/81 binary64) x)) x)) x)) x) x)
(- 1 (* 8/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(- (+ 1 (/ 32/9 (pow x 2))) (* 8/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 32/9 binary64) x)) x))
(- (+ 1 (/ 32/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 128/27 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 128/27 binary64) x)) x)) x))
(* (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 x #s(literal 3 binary64) #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))
(/ (+ 1/3 (* -1 (/ (- 4/9 (* 16/27 (/ 1 x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 16/27 binary64) x)) x)) (*.f64 x x))
(/ (+ 1/3 (* -1 (/ (+ 4/9 (* -1 (/ (- 16/27 (* 64/81 (/ 1 x))) x))) x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 (-.f64 #s(literal 16/27 binary64) (/.f64 #s(literal 64/81 binary64) x)) x)) x)) x) x)
(+ 1 (* -1 (/ (- 8/3 (* 32/9 (/ 1 x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 32/9 binary64) x)) x))
(+ 1 (* -1 (/ (+ 8/3 (* -1 (/ (- 32/9 (* 128/27 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 128/27 binary64) x)) x)) x))

rewrite173.0ms (2.5%)

Memory

34.6MiB live, 266.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	233
0	59	233
1	229	217
2	1467	215
0	8404	203

Stop Event

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

Counts

18 → 588

Calls

Call 1

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

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))
#s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -12 binary64) x)
(*.f64 x #s(literal -12 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal -4 binary64) x))
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(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))
(pow.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64)))

eval86.0ms (1.2%)

Memory: -28.9MiB live, 173.6MiB allocated
Compiler: Compiled 26 903 to 2 558 computations (90.5% saved)

prune16.0ms (0.2%)

Memory

6.4MiB live, 45.3MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	631	0	631
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	631	12	643

Accuracy

100.0%

Counts

643 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.1%	(.f64 #s(literal 3 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) #s(approx (pow (* (+ (* 3 x) 4) x) -1) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
✓	55.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
✓	47.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))
✓	47.3%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x #s(literal 3 binary64)) x)))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	47.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64))))
✓	55.0%	#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)))
✓	47.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	3.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))
✓	54.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 582 to 275 computations (52.7% saved)

regimes21.0ms (0.3%)

Memory

1.9MiB live, 40.9MiB allocated

Counts

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

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

Calls

4 calls:

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

regimes14.0ms (0.2%)

Memory

-9.8MiB live, 28.6MiB 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)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#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:

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

Results

Accuracy	Segments	Branch
99.0%	3	`x`
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 34 to 27 computations (20.6% saved)

regimes8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB 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)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#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:

3.0ms

(-.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
98.1%	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)))`
98.1%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.1%	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 (0.1%)

Memory

19.8MiB live, 19.8MiB 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)) #s(approx (* (+ (* 9 x) -12) x) (*.f64 #s(literal -12 binary64) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#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 #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
55.0%	1	`x`
55.0%	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)))`
55.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
55.0%	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)

regimes29.0ms (0.4%)

Memory

-18.5MiB live, 27.3MiB allocated

Accuracy

Total -32.5b remaining (-110.5%)

Threshold costs -32.5b (-110.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	x
1.0ms	(+.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
54.0%	1	`x`
54.0%	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)))`
54.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
54.0%	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)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.616567324356537e-8	844.8326184870817

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.616567324356537e-8	844.8326184870817

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify30.0ms (0.4%)

Memory

-25.4MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	153
1	45	153
2	56	153
3	62	153
4	66	153
5	67	153

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 944473296573929/9444732965739290427392 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 944473296573929/9444732965739290427392 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 944473296573929/9444732965739290427392 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 #s(literal 4 binary64) x)) #s(literal 944473296573929/9444732965739290427392 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 944473296573929/9444732965739290427392 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)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 #s(literal 4 binary64) x)) #s(literal 944473296573929/9444732965739290427392 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))

soundness816.0ms (11.9%)

Memory

12.3MiB live, 367.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	128
0	39	126
1	165	102
2	1246	102
0	8358	100
0	51	102
1	137	102
2	323	102
3	756	102
4	1962	100
5	4238	100
6	5965	100
7	7680	100
0	8020	83

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)

preprocess62.0ms (0.9%)

Memory: 6.1MiB live, 50.0MiB 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%)

sample2.2s (31.8%)

explain205.0ms (3%)

preprocess139.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify106.0ms (1.5%)

localize23.0ms (0.3%)

series18.0ms (0.3%)

simplify117.0ms (1.7%)

rewrite220.0ms (3.2%)

eval122.0ms (1.8%)

prune12.0ms (0.2%)

simplify51.0ms (0.7%)

localize114.0ms (1.7%)

series43.0ms (0.6%)

simplify137.0ms (2%)

rewrite281.0ms (4.1%)

eval49.0ms (0.7%)

prune66.0ms (1%)

simplify303.0ms (4.4%)

localize124.0ms (1.8%)

series8.0ms (0.1%)

simplify144.0ms (2.1%)

rewrite270.0ms (3.9%)

eval179.0ms (2.6%)

prune22.0ms (0.3%)

simplify158.0ms (2.3%)

localize306.0ms (4.5%)

series6.0ms (0.1%)

simplify193.0ms (2.8%)

rewrite173.0ms (2.5%)

eval86.0ms (1.2%)

prune16.0ms (0.2%)

regimes21.0ms (0.3%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes29.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.4%)

soundness816.0ms (11.9%)

preprocess62.0ms (0.9%)

end0.0ms (0%)

Profiling