Metrics for Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 11 to 9 computations (18.2% saved)

sample1.4s (18%)

Memory

33.2MiB live, 1 084.4MiB allocated

Samples

987.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 422.0ms

ival-mult: 271.0ms (64.2% of total)

ival-sub: 134.0ms (31.8% of total)

exact: 8.0ms (1.9% of total)

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

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

Bogosity

explain87.0ms (1.1%)

Memory

-34.7MiB live, 207.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
-	-	`(*.f64 x x)`
-	-	`x`

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

26.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (72.4% of total)

ival-sub: 3.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess146.0ms (1.9%)

Memory

31.1MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	33	18
2	132	18
3	361	18
4	806	18
5	1341	18
6	1479	18
7	1875	18
8	2405	18
9	2983	18
10	3178	18
11	3334	18
12	3334	18
0	7	9
0	11	9
1	23	9
2	71	9
3	223	9
4	517	9
5	958	9
6	1277	9
7	1678	9
8	2228	9
9	2812	9
10	3020	9
11	3176	9
12	3176	9
0	3176	8

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)

Compiler

Compiled 9 to 7 computations (22.2% 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 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify76.0ms (1%)

Memory

8.2MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	23	23
2	71	23
3	223	23
4	517	23
5	958	23
6	1277	23
7	1678	23
8	2228	23
9	2812	23
10	3020	23
11	3176	23
12	3176	23
0	3176	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize131.0ms (1.7%)

Memory

-24.0MiB live, 58.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.11328125	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

66.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 55.0ms (96.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 12

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms	x	@	0	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms	x	@	-inf	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))

simplify312.0ms (4%)

Memory

13.5MiB live, 361.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	64
1	63	64
2	172	64
3	605	64
4	2282	64
5	5298	64
0	8414	59

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite225.0ms (2.9%)

Memory

-17.6MiB live, 274.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	38	20
2	230	20
3	1783	20
0	9278	18

Stop Event

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

Counts

4 → 301

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 x x)) (+.f64 (-.f64 #s(literal 3 binary64) x) x))
(/.f64 (-.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x)) (.f64 x x)) (-.f64 (+.f64 #s(literal 3 binary64) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64)))) (-.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x) (fma.f64 x x (*.f64 (-.f64 #s(literal 3 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 3 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))
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(-.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 4 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (.f64 x x) (.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal -2 binary64) x))) (sinh.f64 (log.f64 (.f64 #s(literal -2 binary64) x))))
(+.f64 x x)

eval35.0ms (0.5%)

Memory: 30.3MiB live, 73.7MiB allocated
Compiler: Compiled 8 446 to 1 031 computations (87.8% saved)

prune13.0ms (0.2%)

Memory

-13.2MiB live, 30.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	300	10	310
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	301	10	311

Accuracy

100.0%

Counts

311 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.5%	(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
	94.8%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
▶	68.4%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
▶	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	76.7%	(.f64 (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
▶	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	54.5%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
	71.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
▶	64.7%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	72.0%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 280 to 196 computations (30% saved)

simplify178.0ms (2.3%)

Memory

20.0MiB live, 244.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
cost-diff	0	(-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	157
0	46	157
1	80	155
2	212	155
3	668	155
4	1825	155
5	3795	155
6	6401	155
7	7409	155
0	8042	155

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
#s(literal 3 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
(sqrt.f64 x)

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x #s(literal -9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 4 binary64) x)) #s(literal -3 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
(neg.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal -3 binary64)))
#s(literal 3 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 4 binary64) x)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
(sqrt.f64 x)

localize214.0ms (2.7%)

Memory

-38.2MiB live, 267.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0625	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
accuracy	0.24609375	(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
accuracy	0.00390625	(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
accuracy	0.03515625	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	0.0703125	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	1.645781315560463	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.05078125	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.08203125	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0625	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	15.813676946107462	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0625	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Samples

90.0ms	123×	0	valid
85.0ms	116×	0	invalid
10.0ms	5×	2	valid
3.0ms	10×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 166 to 30 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 156.0ms (91.2% of total)

ival-sqrt: 4.0ms (2.3% of total)

ival-add: 4.0ms (2.3% of total)

ival-sub: 3.0ms (1.8% of total)

ival-div: 2.0ms (1.2% of total)

adjust: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series11.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

16 → 45

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))

Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(pow x 2)
(* 3 x)
(* x (+ 3 (* -2 x)))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 x) 3))
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(* 2 x)
(sqrt x)
(* 2 (sqrt x))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(* (pow x 3) (* (sqrt -4) (sqrt -1)))
(* -1 (* (pow x 3) (- (* -1 (* (sqrt -4) (sqrt -1))) (* 3 (/ 1 x)))))
(* x (* (sqrt -4) (sqrt -1)))
(* x (+ (* (sqrt -4) (sqrt -1)) (* 3 (/ 1 x))))
(* -1 (* x (* (sqrt -4) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -4) (sqrt -1))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt x) (sqrt (* 4 x)))
3.0ms	x	@	0	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt x) (sqrt (* 4 x)))
2.0ms	x	@	inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt x) (sqrt (* 4 x)))

Time

Variable

Point

Expression

5.0ms

-inf

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt x) (sqrt (* 4 x)))

3.0ms

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt x) (sqrt (* 4 x)))

2.0ms

inf

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt x) (sqrt (* 4 x)))

simplify190.0ms (2.4%)

Memory

-14.9MiB live, 210.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	348
1	348	341
2	1074	336
3	3996	332
0	8895	312

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(pow x 2)
(* 3 x)
(* x (+ 3 (* -2 x)))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 x) 3))
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(* 2 x)
(sqrt x)
(* 2 (sqrt x))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(* (pow x 3) (* (sqrt -4) (sqrt -1)))
(* -1 (* (pow x 3) (- (* -1 (* (sqrt -4) (sqrt -1))) (* 3 (/ 1 x)))))
(* x (* (sqrt -4) (sqrt -1)))
(* x (+ (* (sqrt -4) (sqrt -1)) (* 3 (/ 1 x))))
(* -1 (* x (* (sqrt -4) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -4) (sqrt -1))))

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -3 (pow x 2))
(.f64 #s(literal -3 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 x) 3))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(.f64 (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 16/9 binary64) x) #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 4 (pow x 2))))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* 4 (pow x 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x #s(literal -9 binary64)) x)
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) x #s(literal 3 binary64)) x #s(literal -9 binary64)) x)
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x)
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal -3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (* (sqrt -4) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (* (sqrt -4) (sqrt -1))) (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) x) x)
(* x (* (sqrt -4) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -4 binary64)))
(* x (+ (* (sqrt -4) (sqrt -1)) (* 3 (/ 1 x))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))
(* -1 (* x (* (sqrt -4) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (* (sqrt -4) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))

rewrite236.0ms (3%)

Memory

10.6MiB live, 239.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	121
0	46	110
1	148	106
2	942	105
0	9176	105

Stop Event

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

Counts

16 → 1 336

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(-.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))

Outputs
(.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) x) x) (-.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) x) x) (-.f64 (.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 2 binary64)))) (-.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) x)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (.f64 (*.f64 #s(literal 4 binary64) x) x)))))
(.f64 (/.f64 (.f64 x (.f64 x (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)))) (-.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)))) (-.f64 (.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 2 binary64)))) (-.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) x)))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (.f64 (*.f64 #s(literal 4 binary64) x) x)))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 4 binary64) x) x)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 4 binary64) x) x)) x) x) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 #s(literal 4 binary64) x) x))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (+.f64 #s(literal 729 binary64) (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 4 binary64) x) x))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 4 binary64) x) x))) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 #s(literal 4 binary64) x) x))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 729 binary64) (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)))))
(.f64 (.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 4 binary64) x) x)) (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 (.f64 x x) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
(.f64 x (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x))
(/.f64 (.f64 (.f64 x (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))) x) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))) (.f64 x x)) (neg.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
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(hypot.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)))
(hypot.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(hypot.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(hypot.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(hypot.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)))
(hypot.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(hypot.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(hypot.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (.f64 x #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (sqrt.f64 (.f64 x #s(literal -2 binary64))) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (sqrt.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)))
(hypot.f64 (sqrt.f64 (.f64 x #s(literal -2 binary64))) (sqrt.f64 (.f64 x #s(literal -2 binary64))))
(hypot.f64 (sqrt.f64 (.f64 x #s(literal -2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(hypot.f64 (sqrt.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)))
(hypot.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 x #s(literal -2 binary64))))
(hypot.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(hypot.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x #s(literal -2 binary64))))
(hypot.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(hypot.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x #s(literal -2 binary64))))
(hypot.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(hypot.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 x) (sqrt.f64 x))

eval245.0ms (3.1%)

Memory: 31.1MiB live, 414.9MiB allocated
Compiler: Compiled 26 629 to 3 471 computations (87% saved)

prune48.0ms (0.6%)

Memory

-25.8MiB live, 118.9MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 149	12	1 161
Fresh	4	1	5
Picked	2	3	5
Done	0	0	0
Total	1 155	16	1 171

Accuracy

100.0%

Counts

1 171 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.2%	(fma.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
	88.5%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	94.8%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
	68.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* 4 (* x x)) 9) (.f64 #s(literal 4 binary64) (.f64 x x))) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
	54.5%	(.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x))
	54.5%	(.f64 (fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 x #s(literal 3 binary64))) x)
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	45.3%	(.f64 (/.f64 x (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))) (.f64 (-.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	99.7%	(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
	64.6%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	71.9%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	64.7%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶	50.1%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
▶	37.2%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x)))
	72.0%	#s(approx (* (+ (* -2 x) 3) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 471 to 339 computations (28% saved)

simplify164.0ms (2.1%)

Memory

21.9MiB live, 202.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	2	(.f64 (.f64 x x) (*.f64 (sqrt.f64 x) #s(literal -2 binary64)))
cost-diff	6	(fma.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))
cost-diff	0	(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x)
cost-diff	0	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
cost-diff	1	(neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x)))
cost-diff	0	(.f64 (.f64 #s(literal 4 binary64) x) x)
cost-diff	0	(-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	251
0	69	251
1	129	248
2	338	243
3	1125	243
4	3781	243
5	6905	241
0	8313	236

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
(.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))
(-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 4 binary64) x) x)
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))
(-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x)))
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (.f64 x x) #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x x)
x
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x #s(literal -9 binary64)) x))
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x #s(literal -9 binary64)) x)
(neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x #s(literal -9 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
#s(literal 2 binary64)
x
#s(literal -3 binary64)
#s(literal 9 binary64)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (.f64 #s(literal -9 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(fma.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (.f64 x x) (*.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) #s(literal -2 binary64))
(*.f64 x x)
x
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
#s(literal -2 binary64)
(.f64 (.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)

localize187.0ms (2.4%)

Memory

25.0MiB live, 220.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.078125	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	0.08984375	(.f64 (.f64 x x) (*.f64 (sqrt.f64 x) #s(literal -2 binary64)))
accuracy	7.277283889075968	(fma.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
accuracy	0.00390625	(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
accuracy	0.03515625	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	0.0703125	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	1.653593815560463	(/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
accuracy	0.0	(neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64)))
accuracy	0.03515625	(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x)
accuracy	17.941710972375898	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(.f64 #s(literal -3 binary64) (.f64 x x))
accuracy	8.094406602888274	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x)))
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.0625	(.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
accuracy	0.08203125	(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)

Samples

55.0ms	110×	0	valid
54.0ms	116×	0	invalid
8.0ms	14×	2	valid
6.0ms	14×	1	valid
2.0ms	2×	3	valid

Compiler

Compiled 252 to 40 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 27.0ms (40.2% of total)

ival-add: 19.0ms (28.3% of total)

ival-sub: 9.0ms (13.4% of total)

ival-div: 5.0ms (7.4% of total)

adjust: 3.0ms (4.5% of total)

ival-sqrt: 2.0ms (3% of total)

ival-neg: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series33.0ms (0.4%)

Memory

-4.7MiB live, 40.8MiB allocated

Counts

23 → 69

Calls

Call 1

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

Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
-9
(- (* 4 (pow x 2)) 9)
(* 4 (pow x 2))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 x) 3))
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(pow x 2)
(- (* 3 x) 9)
(- (* x (+ 3 (* -2 x))) 9)
(* -9 x)
(* x (- (* 3 x) 9))
(* x (- (* x (+ 3 (* -2 x))) 9))
9
(+ 9 (* -3 x))
(+ 9 (* x (- (* 2 x) 3)))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
(+ 9 (* 4 (pow x 2)))
(* -2 (sqrt (pow x 5)))
(* -2 (sqrt x))
(* 4 x)
(* -2 x)
-3
(- (* 2 x) 3)
(sqrt x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 2) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))
(* (pow x 2) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((* (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) x) (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) (- (* (* 4 x) x) 9) (* (* 4 x) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* -3 (* x x)) (* x x) (neg (+ (* (+ (* 2 x) -3) x) 9)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (+ (* (+ (* 2 x) -3) x) 9) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* (* x x) (* (sqrt x) -2)) (sqrt x)) (* (* x x) 3)) (* (* x x) (* (sqrt x) -2)) (* (sqrt x) -2) (* 4 x) (* x -2) (+ (* 2 x) -3) (* (* x x) 3) (sqrt x))

5.0ms

inf

((* (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) x) (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) (- (* (* 4 x) x) 9) (* (* 4 x) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* -3 (* x x)) (* x x) (neg (+ (* (+ (* 2 x) -3) x) 9)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (+ (* (+ (* 2 x) -3) x) 9) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* (* x x) (* (sqrt x) -2)) (sqrt x)) (* (* x x) 3)) (* (* x x) (* (sqrt x) -2)) (* (sqrt x) -2) (* 4 x) (* x -2) (+ (* 2 x) -3) (* (* x x) 3) (sqrt x))

4.0ms

((* (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) x) (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) (- (* (* 4 x) x) 9) (* (* 4 x) x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* -3 (* x x)) (* x x) (neg (+ (* (+ (* 2 x) -3) x) 9)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (+ (* (+ (* 2 x) -3) x) 9) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* (* x x) (* (sqrt x) -2)) (sqrt x)) (* (* x x) 3)) (* (* x x) (* (sqrt x) -2)) (* (sqrt x) -2) (* 4 x) (* x -2) (+ (* 2 x) -3) (* (* x x) 3) (sqrt x))

simplify197.0ms (2.5%)

Memory

-22.3MiB live, 272.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	584
1	555	564
2	1897	548
3	6358	544
0	8605	519

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
-9
(- (* 4 (pow x 2)) 9)
(* 4 (pow x 2))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 x) 3))
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(pow x 2)
(- (* 3 x) 9)
(- (* x (+ 3 (* -2 x))) 9)
(* -9 x)
(* x (- (* 3 x) 9))
(* x (- (* x (+ 3 (* -2 x))) 9))
9
(+ 9 (* -3 x))
(+ 9 (* x (- (* 2 x) 3)))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
(+ 9 (* 4 (pow x 2)))
(* -2 (sqrt (pow x 5)))
(* -2 (sqrt x))
(* 4 x)
(* -2 x)
-3
(- (* 2 x) 3)
(sqrt x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 2) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))
(* (pow x 2) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
-9
#s(literal -9 binary64)
(- (* 4 (pow x 2)) 9)
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 2 x) 3))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(.f64 (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 16/9 binary64) x) #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(- (* 3 x) 9)
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))
(- (* x (+ 3 (* -2 x))) 9)
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal 9 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 3 x) 9))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) x)
(* x (- (* x (+ 3 (* -2 x))) 9))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal 9 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 9 binary64))
(+ 9 (* x (- (* 2 x) 3)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) x #s(literal 9 binary64))
(* (pow x 2) (+ 3 (* 2 x)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 4 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x)
(+ 9 (* 4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))
(* -2 (sqrt (pow x 5)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -2 binary64))
(* -2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-3
#s(literal -3 binary64)
(- (* 2 x) 3)
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (.f64 x x) #s(literal -9 binary64)) x)
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal -9 binary64))
(* 2 (pow x 2))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(* (pow x 2) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x))))
(+.f64 #s(literal 9 binary64) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x) x))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x)
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 3 (/ 1 x))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))
(fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x))))
(+.f64 #s(literal 9 binary64) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x) x))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -9 binary64) x))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -2 binary64))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite213.0ms (2.7%)

Memory

24.2MiB live, 305.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	210
0	69	210
1	238	204
2	1418	199
0	8481	197

Stop Event

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

Counts

23 → 662

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 x (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -6 binary64))))))
(.f64 (/.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -6 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)))) (/.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))))
(.f64 (/.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (.f64 (/.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x) (/.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (.f64 (/.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) x)
(.f64 (/.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(.f64 x (.f64 (/.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x) x)) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))))
(/.f64 (neg.f64 (.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x) (neg.f64 (neg.f64 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) x) (neg.f64 (neg.f64 x))) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) x) (neg.f64 x)) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) x) x) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)))) (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64))) (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))))
(/.f64 (.f64 (neg.f64 (neg.f64 x)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x)) (.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))))
(/.f64 (.f64 (neg.f64 (neg.f64 x)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) x)) (.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))))
(/.f64 (.f64 (neg.f64 x) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) x)) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))))
(/.f64 (.f64 x (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) x)) (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64))) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64))) (.f64 x x)) (.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64)))) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) (.f64 x x)) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
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(-.f64 #s(literal -3 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal -6 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal -6 binary64))))))
(+.f64 (+.f64 #s(literal -3 binary64) x) x)
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(+.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 x #s(literal -3 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) x)) x)
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 3 binary64) x)))
(.f64 x (.f64 #s(literal 3 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))
(fabs.f64 (.f64 (.f64 x x) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64))))

eval315.0ms (4%)

Memory: -45.9MiB live, 223.4MiB allocated
Compiler: Compiled 24 537 to 3 162 computations (87.1% saved)

prune43.0ms (0.6%)

Memory

-1.4MiB live, 84.4MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	780	7	787
Fresh	2	6	8
Picked	2	3	5
Done	0	3	3
Total	784	19	803

Accuracy

100.0%

Counts

803 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.2%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x)) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
✓	43.2%	(fma.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
▶	88.5%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
	68.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* 4 (* x x)) 9) (.f64 #s(literal 4 binary64) (.f64 x x))) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
	76.4%	(/.f64 (.f64 #s(approx ( (+ (* 4 (* x x)) 9) x) (*.f64 #s(literal 9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
	54.5%	(.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x))
▶	54.5%	(.f64 (fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 x #s(literal 3 binary64))) x)
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	52.6%	(.f64 (.f64 #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
	64.6%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	71.9%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	64.7%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	37.2%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (.f64 #s(literal -3 binary64) x) x))
✓	50.1%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
▶	15.6%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
✓	37.2%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x)))
▶	5.9%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))
	72.0%	#s(approx (+ (* (* (* x x) (* (sqrt x) -2)) (sqrt x)) (* (* x x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 598 to 428 computations (28.4% saved)

simplify198.0ms (2.5%)

Memory

-13.6MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
cost-diff	0	(.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 x #s(literal 3 binary64))) x)
cost-diff	6	(fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64))
cost-diff	0	(.f64 #s(approx (- ( (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
cost-diff	0	(fma.f64 #s(approx (+ (* 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))
cost-diff	0	(neg.f64 (fma.f64 #s(approx (+ (* 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64)))
cost-diff	0	(.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x)
cost-diff	0	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
cost-diff	0	(*.f64 #s(literal -9 binary64) x)
cost-diff	0	#s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x))
cost-diff	0	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
cost-diff	0	(*.f64 x #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal -2 binary64)) x)
cost-diff	4	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	269
0	71	267
1	137	260
2	344	254
3	999	254
4	3599	254
5	7071	254
0	8644	238

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x #s(literal -2 binary64)) x)
(.f64 (.f64 #s(literal -2 binary64) x) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
x
#s(literal -2 binary64)
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x x))
(*.f64 x x)
#s(literal 3 binary64)
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))
#s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
#s(literal -9 binary64)
x
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (neg.f64 x) (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))))
(.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x)
(.f64 (neg.f64 x) (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(approx (+ (* 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64)))
(fma.f64 #s(approx (+ (* 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))
#s(approx (+ (* 2 x) -3) #s(literal -3 binary64))
#s(literal -3 binary64)
x
#s(literal 9 binary64)
(.f64 (.f64 #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
(.f64 (.f64 #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)) x) (/.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(.f64 #s(approx (- ( (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)))
#s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64))
#s(literal -9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))
x
(-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(literal 3 binary64)
(.f64 (fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 x #s(literal 3 binary64))) x)
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) x)
x
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
#s(literal -2 binary64)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

localize348.0ms (4.4%)

Memory

7.7MiB live, 352.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.08203125	(.f64 (fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 x #s(literal 3 binary64))) x)
accuracy	0.09765625	(fma.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
accuracy	0.09765625	(.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64)))
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	0.0625	(.f64 #s(approx (- ( (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
accuracy	0.08203125	(.f64 (.f64 #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
accuracy	15.735211362058422	#s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64))
accuracy	0.0	(neg.f64 (fma.f64 #s(approx (+ (* 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64)))
accuracy	0.03515625	(.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x)
accuracy	15.813676946107462	#s(approx (+ (* 2 x) -3) #s(literal -3 binary64))
accuracy	17.941710972375898	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
accuracy	0.0	(*.f64 #s(literal -9 binary64) x)
accuracy	15.016344891388911	#s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x))
accuracy	17.941710972375898	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	0.078125	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	7.273377639075968	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))

Samples

86.0ms	114×	0	valid
44.0ms	116×	0	invalid
34.0ms	12×	1	valid
7.0ms	14×	2	valid

Compiler

Compiled 228 to 44 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 54.0ms (44.8% of total)

ival-mult: 35.0ms (29% of total)

ival-add: 22.0ms (18.2% of total)

adjust: 3.0ms (2.5% of total)

ival-sub: 3.0ms (2.5% of total)

ival-sqrt: 2.0ms (1.7% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series34.0ms (0.4%)

Memory

25.3MiB live, 70.9MiB allocated

Counts

22 → 62

Calls

Call 1

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

Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* -2 x)
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 x) 3))
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(* -9 x)
(* x (- (* 3 x) 9))
(* x (- (* x (+ 3 (* -2 x))) 9))
-9
(- (* 3 x) 9)
(- (* x (+ 3 (* -2 x))) 9)
9
(+ 9 (* -3 x))
(+ 9 (* x (- (* 2 x) 3)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(- (* 4 (pow x 2)) 9)
(* -1/3 x)
(* x (- (* 2/9 x) 1/3))
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3))
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3))
(* -2 (sqrt (pow x 3)))
(* -2 (sqrt x))
(pow x 2)
-3
(- (* 2 x) 3)
(sqrt x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
-1/2
(- (* 3/4 (/ 1 x)) 1/2)
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2))))
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2))))
(* 2 x)
(* x (- 2 (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))
(* (pow x 2) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x))))
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* 2 (pow (sqrt -1) 2)) (* 3 (/ 1 x))))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

24.0ms

-inf

((+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (* -9 x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (neg (+ (* (+ (* 2 x) -3) x) 9)) (+ (* (+ (* 2 x) -3) x) 9) (* (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) x) (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3)) (+ (* (* x (* (sqrt x) -2)) (sqrt x)) (* x 3)) (* (+ (* (* x (* (sqrt x) -2)) (sqrt x)) (* x 3)) x) (* x (* (sqrt x) -2)) (* (sqrt x) -2) (* x x) (+ (* 2 x) -3) (sqrt x))

6.0ms

inf

((+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (* -9 x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (neg (+ (* (+ (* 2 x) -3) x) 9)) (+ (* (+ (* 2 x) -3) x) 9) (* (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) x) (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3)) (+ (* (* x (* (sqrt x) -2)) (sqrt x)) (* x 3)) (* (+ (* (* x (* (sqrt x) -2)) (sqrt x)) (* x 3)) x) (* x (* (sqrt x) -2)) (* (sqrt x) -2) (* x x) (+ (* 2 x) -3) (sqrt x))

3.0ms

((+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (* -9 x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (neg (+ (* (+ (* 2 x) -3) x) 9)) (+ (* (+ (* 2 x) -3) x) 9) (* (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) x) (* (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3))) (- (* (* 4 x) x) 9) (/ x (- (* x -2) 3)) (+ (* (* x (* (sqrt x) -2)) (sqrt x)) (* x 3)) (* (+ (* (* x (* (sqrt x) -2)) (sqrt x)) (* x 3)) x) (* x (* (sqrt x) -2)) (* (sqrt x) -2) (* x x) (+ (* 2 x) -3) (sqrt x))

simplify262.0ms (3.3%)

Memory

9.5MiB live, 292.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	503
1	472	487
2	1377	482
3	4686	474
0	8586	464

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* -2 x)
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 x) 3))
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(* -9 x)
(* x (- (* 3 x) 9))
(* x (- (* x (+ 3 (* -2 x))) 9))
-9
(- (* 3 x) 9)
(- (* x (+ 3 (* -2 x))) 9)
9
(+ 9 (* -3 x))
(+ 9 (* x (- (* 2 x) 3)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(- (* 4 (pow x 2)) 9)
(* -1/3 x)
(* x (- (* 2/9 x) 1/3))
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3))
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3))
(* -2 (sqrt (pow x 3)))
(* -2 (sqrt x))
(pow x 2)
-3
(- (* 2 x) 3)
(sqrt x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
-1/2
(- (* 3/4 (/ 1 x)) 1/2)
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2))))
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2))))
(* 2 x)
(* x (- 2 (* 3 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))
(* (pow x 2) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x))))
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* 2 (pow (sqrt -1) 2)) (* 3 (/ 1 x))))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 2 x) 3))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* -8/3 x))) 3))
(.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* x (- (* 16/9 x) 8/3)))) 3))
(.f64 (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 16/9 binary64) x) #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 3 x) 9))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) x)
(* x (- (* x (+ 3 (* -2 x))) 9))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal 9 binary64)) x)
-9
#s(literal -9 binary64)
(- (* 3 x) 9)
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))
(- (* x (+ 3 (* -2 x))) 9)
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal 9 binary64))
9
#s(literal 9 binary64)
(+ 9 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 9 binary64))
(+ 9 (* x (- (* 2 x) 3)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) x #s(literal 9 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(- (* 4 (pow x 2)) 9)
(-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/9 x) 1/3))
(.f64 (-.f64 (.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x)
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 8/81 binary64) x) #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x)
(* -2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))
(* -2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
-3
#s(literal -3 binary64)
(- (* 2 x) 3)
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/2 (/ 1 (pow x 3)))) (+ 2 (/ 9 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- (* 3 (/ 1 x)) (+ 2 (/ 9 (pow x 2)))))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (.f64 x x))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(* (pow x 2) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) x)) x)) x) x)
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) x) x)
-1/2
#s(literal -1/2 binary64)
(- (* 3/4 (/ 1 x)) 1/2)
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64))
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2))))
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64))) x) #s(literal 1/2 binary64))
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2))))
(-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 3 (/ 1 x))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9 (* 27/2 (/ 1 x))) x))) x)))))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal -3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (.f64 x x))
(* (pow x 2) (+ 2 (* -1 (/ (- 3 (* 9 (/ 1 x))) x))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) x)) x)) x) x)
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64))) x) #s(literal 1/2 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)
(-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64))
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (+ (* 2 (pow (sqrt -1) 2)) (* 3 (/ 1 x))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x)
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite447.0ms (5.7%)

Memory

-14.9MiB live, 504.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	243
0	71	241
1	259	234
2	1601	229
0	8717	213

Stop Event

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

Counts

22 → 430

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x))) x) (/.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(.f64 (/.f64 x x) (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x))) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
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(-.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))))) (/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))))
(-.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -3 binary64) (*.f64 x x)))
(-.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 x) (*.f64 #s(literal 3 binary64) x)))
(-.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 (*.f64 x x) #s(literal -2 binary64))) x))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) (*.f64 x x)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))))
(+.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))))
(+.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x)))))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) x)
(.f64 (sqrt.f64 x) (.f64 #s(literal -2 binary64) x))
(.f64 (.f64 #s(literal -2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sqrt.f64 x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* 2 x) -3) #s(literal -3 binary64))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64))))

eval108.0ms (1.4%)

Memory: 0.3MiB live, 102.8MiB allocated
Compiler: Compiled 14 054 to 1 544 computations (89% saved)

prune38.0ms (0.5%)

Memory

-14.3MiB live, 73.1MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	403	1	404
Fresh	1	7	8
Picked	1	4	5
Done	0	6	6
Total	405	18	423

Accuracy

100.0%

Counts

423 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.2%	(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x)) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
✓	43.2%	(fma.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (.f64 (*.f64 x x) #s(literal 3 binary64)))
✓	88.5%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
	68.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* 4 (* x x)) 9) (.f64 #s(literal 4 binary64) (.f64 x x))) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
	76.4%	(/.f64 (.f64 #s(approx ( (+ (* 4 (* x x)) 9) x) (*.f64 #s(literal 9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
✓	52.6%	(.f64 (.f64 #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x)
	99.6%	(.f64 (.f64 #s(approx (- (* (* 4 x) x) 9) #s(literal -9 binary64)) #s(approx (/ x (- (* x -2) 3)) (.f64 (-.f64 (.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) x)
	64.6%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	71.9%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	64.7%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	37.2%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (.f64 #s(literal -3 binary64) x) x))
✓	50.1%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
✓	15.6%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) -3) #s(literal -3 binary64)) x #s(literal 9 binary64))) x))
✓	37.2%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x)))
✓	5.9%	#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))
	72.0%	#s(approx (+ (* (* (* x x) (* (sqrt x) -2)) (sqrt x)) (* (* x x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 898 to 403 computations (55.1% saved)

regimes35.0ms (0.5%)

Memory

-1.7MiB live, 53.4MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Calls

2 calls:

17.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
14.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
99.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)

Calls

2 calls:

6.0ms	x
5.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
99.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory

-16.0MiB live, 29.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
98.4%	3	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
98.4%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
76.9%	2	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
76.9%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))

#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 #s(literal -3 binary64) (*.f64 x x)))

#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 (*.f64 #s(literal -3 binary64) x) x))

Outputs

#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))

#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (*.f64 #s(literal -3 binary64) (*.f64 x x)))

Calls

2 calls:

2.0ms	x
1.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
39.1%	2	`x`
39.1%	2	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.3%)

Memory

-35.6MiB live, 9.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))

Outputs
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))

Calls

2 calls:

20.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
5.9%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
5.9%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch87.0ms (1.1%)

Memory

-3.1MiB live, 143.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
65.0ms	0.001799076955506721	103650232.64027646
13.0ms	-16724627.857767414	-8.098646646465124e-10

Samples

56.0ms

320×

valid

Compiler

Compiled 492 to 431 computations (12.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (76.5% of total)

ival-sub: 2.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.227105718030645e+24	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch26.0ms (0.3%)

Memory

22.0MiB live, 66.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-1.0967051657806807e-119	-1.553970458410423e-134

Samples

13.0ms

160×

valid

Compiler

Compiled 582 to 441 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 7.0ms (82.4% of total)

ival-sub: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify78.0ms (1%)

Memory

-11.4MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	190
1	92	190
2	205	190
3	565	190
4	1571	190
5	3879	190
6	5879	190

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ ( (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) #s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (.f64 #s(literal -9 binary64) x))) #s(approx (/ ( (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x))))
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 3/2 binary64)))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (.f64 #s(literal -2 binary64) x))) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ ( (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) #s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (.f64 #s(literal -9 binary64) x))) #s(approx (/ ( (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) (.f64 #s(literal -3 binary64) (.f64 x x))))
#s(approx (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) -3)) #s(approx (* (neg (+ (* (+ (* 2 x) -3) x) 9)) x) (*.f64 #s(literal -9 binary64) x)))

soundness1.3s (17%)

Memory

-12.0MiB live, 762.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	584
1	555	564
2	1897	548
3	6358	544
0	8605	519
0	111	348
1	348	341
2	1074	336
3	3996	332
0	8895	312
0	24	64
1	63	64
2	172	64
3	605	64
4	2282	64
5	5298	64
0	8414	59
0	7	20
0	11	20
1	38	20
2	230	20
3	1783	20
0	9278	18

Stop Event

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

Compiler

Compiled 235 to 96 computations (59.1% saved)

preprocess63.0ms (0.8%)

Memory: -9.2MiB live, 35.1MiB allocated
Compiler: Compiled 416 to 146 computations (64.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (18%)

explain87.0ms (1.1%)

preprocess146.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify76.0ms (1%)

localize131.0ms (1.7%)

series4.0ms (0%)

simplify312.0ms (4%)

rewrite225.0ms (2.9%)

eval35.0ms (0.5%)

prune13.0ms (0.2%)

simplify178.0ms (2.3%)

localize214.0ms (2.7%)

series11.0ms (0.1%)

simplify190.0ms (2.4%)

rewrite236.0ms (3%)

eval245.0ms (3.1%)

prune48.0ms (0.6%)

simplify164.0ms (2.1%)

localize187.0ms (2.4%)

series33.0ms (0.4%)

simplify197.0ms (2.5%)

rewrite213.0ms (2.7%)

eval315.0ms (4%)

prune43.0ms (0.6%)

simplify198.0ms (2.5%)

localize348.0ms (4.4%)

series34.0ms (0.4%)

simplify262.0ms (3.3%)

rewrite447.0ms (5.7%)

eval108.0ms (1.4%)

prune38.0ms (0.5%)

regimes35.0ms (0.5%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes22.0ms (0.3%)

bsearch87.0ms (1.1%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

simplify78.0ms (1%)

soundness1.3s (17%)

preprocess63.0ms (0.8%)

end0.0ms (0%)

Profiling