Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample685.0ms (15.1%)

Memory

11.3MiB live, 943.0MiB allocated

Samples

439.0ms	8 252×	0	valid
0.0ms	4×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 112.0ms (49.6% of total)

ival-add: 102.0ms (45.1% of total)

ival-true: 5.0ms (2.2% of total)

exact: 4.0ms (1.8% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain101.0ms (2.2%)

Memory

-11.2MiB live, 235.4MiB allocated

FPErrors

Click to see full error table

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

28.0ms

512×

valid

Compiler

Compiled 79 to 42 computations (46.8% saved)

Precisions

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

ival-add: 5.0ms (53% of total)

ival-mult: 3.0ms (31.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess168.0ms (3.7%)

Memory

4.4MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	108	64
2	409	63
3	1248	63
4	2953	63
5	4413	63
6	5293	63
7	5413	63
8	5423	63
9	5428	63
10	5503	63
11	5539	63
12	5539	63
13	5598	63
14	5598	63
0	7	7
0	10	7
1	21	7
2	49	7
3	96	7
4	182	7
5	224	7
6	224	7
0	224	7

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))

Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 z #s(literal 1 binary64))
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	21	17
2	49	17
3	96	17
4	182	17
5	224	17
6	224	17
0	224	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
#s(literal 1 binary64)

localize18.0ms (0.4%)

Memory

-10.9MiB live, 28.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 4.0ms (73.4% of total)

ival-mult: 2.0ms (36.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 22

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))

Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms	x	@	-inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms	x	@	inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms	z	@	-inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms	y	@	inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))

simplify148.0ms (3.3%)

Memory

-36.9MiB live, 105.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	96
1	219	96
2	734	96
3	2464	96
4	4974	96
5	7660	96
0	8229	94

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))

Outputs
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
y
(+ x y)
(+.f64 y x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))

rewrite182.0ms (4%)

Memory

11.8MiB live, 165.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	46	13
2	367	13
3	5570	13
0	8646	13

Stop Event

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

Counts

3 → 415

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))

Outputs
(.f64 (/.f64 (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (.f64 z (+.f64 y x))) (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))))
(.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))))
(.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 y x)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (.f64 (.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (.f64 z (+.f64 y x))) (pow.f64 (.f64 z (+.f64 y x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64))) (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))
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(*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) z) (.f64 (-.f64 z #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z #s(literal 1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(fma.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))

eval58.0ms (1.3%)

Memory: 18.0MiB live, 99.2MiB allocated
Compiler: Compiled 9 092 to 1 146 computations (87.4% saved)

prune9.0ms (0.2%)

Memory

-10.4MiB live, 26.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	417	5	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	418	5	423

Accuracy

100.0%

Counts

423 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
▶	57.9%	(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
▶	50.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶	52.1%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	43.6%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))

Compiler

Compiled 110 to 88 computations (20% saved)

simplify8.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ z 1) #s(literal 1 binary64))
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) z)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
cost-diff	0	(fma.f64 z y y)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
cost-diff	0	(fma.f64 z x x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
cost-diff	0	(fma.f64 z x x)
cost-diff	0	(+.f64 #s(literal 1 binary64) z)
cost-diff	256	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	100
0	30	100
1	55	98
2	100	98
3	147	98
4	216	98
5	216	98
0	216	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(fma.f64 z x x)
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
z
y
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(+.f64 x y)
x
y
#s(approx (+ z 1) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
z
y
(fma.f64 z x x)
(fma.f64 x z x)
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x))
(fma.f64 z x x)
(fma.f64 x z x)
z
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
(fma.f64 z y y)
(fma.f64 y z y)
z
y
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 x y) z)
(+.f64 y x)
(+.f64 x y)
y
x
z
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(*.f64 #s(approx (+ z 1) #s(literal 1 binary64)) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (+ z 1) #s(literal 1 binary64))
#s(literal 1 binary64)

localize95.0ms (2.1%)

Memory

-6.9MiB live, 69.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
accuracy	27.020275445138314	#s(approx (+ z 1) #s(literal 1 binary64))
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(*.f64 (+.f64 y x) z)
accuracy	36.09665303835979	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
accuracy	0	(fma.f64 z y y)
accuracy	31.60023267550943	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy	0	(fma.f64 z x x)
accuracy	30.628153951069727	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy	0	(fma.f64 z x x)
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.24999724760556022	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Samples

84.0ms

256×

valid

Compiler

Compiled 187 to 38 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-add: 61.0ms (85.3% of total)

ival-mult: 10.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-29.8MiB live, 15.6MiB allocated

Counts

12 → 43

Calls

Call 1

Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(+.f64 #s(literal 1 binary64) z)
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (+ z 1) #s(literal 1 binary64))

Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* y z)
(+ (* x z) (* y z))
y
(+ x y)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x z)
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* x z))
(+ x (+ (* x z) (* y (+ 1 z))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(+ y (* y z))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* z (+ x (/ x z)))
(* z (+ y (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
2.0ms	z	@	-inf	((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms	x	@	inf	((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms	y	@	-inf	((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms	x	@	-inf	((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))

simplify147.0ms (3.2%)

Memory

29.7MiB live, 139.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	207
1	443	207
2	1344	207
3	4022	207
4	6752	207
0	8289	197

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 40

Calls

Call 1

Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* y z)
(+ (* x z) (* y z))
y
(+ x y)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x z)
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* x z))
(+ x (+ (* x z) (* y (+ 1 z))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(+ y (* y z))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* z (+ x (/ x z)))
(* z (+ y (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))

Outputs
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* x (+ 1 z))
(fma.f64 x z x)
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
y
(+ x y)
(+.f64 x y)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 x z x)
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(+ x (* x z))
(fma.f64 x z x)
(+ x (+ (* x z) (* y (+ 1 z))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ y (* y z))
(fma.f64 y z y)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ x (/ x z)))
(fma.f64 x z x)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 x z x)
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)

rewrite224.0ms (4.9%)

Memory

8.7MiB live, 286.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	30	82
1	128	80
2	1275	80
0	8205	80

Stop Event

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

Counts

12 → 1 171

Calls

Call 1

Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(+.f64 #s(literal 1 binary64) z)
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (+ z 1) #s(literal 1 binary64))

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

eval218.0ms (4.8%)

Memory: -14.5MiB live, 255.0MiB allocated
Compiler: Compiled 44 781 to 3 321 computations (92.6% saved)

prune19.0ms (0.4%)

Memory

31.4MiB live, 70.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 157	3	1 160
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 158	7	1 165

Accuracy

100.0%

Counts

1 165 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.9%	(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
▶	43.2%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	50.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	52.1%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	43.6%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
▶	23.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
▶	23.7%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Compiler

Compiled 94 to 71 computations (24.5% saved)

simplify10.0ms (0.2%)

Memory

-27.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
cost-diff	192	(fma.f64 z y (*.f64 x z))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (* (+ y x) z) (*.f64 y z))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (* (+ y x) z) (*.f64 x z))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
0	21	88
1	37	86
2	56	86
3	91	86
4	183	86
5	223	86
6	223	86
0	223	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ y x) z) (*.f64 x z))
(*.f64 x z)
x
z
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ y x) z) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
(fma.f64 z y (*.f64 x z))
z
y
(*.f64 x z)
x

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 x z))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 x z)
(*.f64 z x)
x
z
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 y z))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(fma.f64 z y (*.f64 x z))
(*.f64 z (+.f64 y x))
z
y
(*.f64 x z)
(*.f64 z x)
x

localize72.0ms (1.6%)

Memory

2.4MiB live, 62.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x z)
accuracy	0.2539034976055602	(fma.f64 z y (*.f64 x z))
accuracy	36.09665303835979	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
accuracy	0	(*.f64 y z)
accuracy	30.504404132425066	#s(approx (* (+ y x) z) (*.f64 y z))
accuracy	36.09665303835979	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
accuracy	0	(*.f64 x z)
accuracy	29.606373821068388	#s(approx (* (+ y x) z) (*.f64 x z))
accuracy	36.09665303835979	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Samples

63.0ms

256×

valid

Compiler

Compiled 144 to 32 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 49.0ms (91.4% of total)

ival-add: 5.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

8 → 20

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ y x) z) (*.f64 x z))
(*.f64 x z)
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ y x) z) (*.f64 y z))
(*.f64 y z)
(fma.f64 z y (*.f64 x z))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))

Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y z)
(+ (* x z) (* y z))
(* x z)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(+ x y)
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((* (+ x y) (+ z 1)) (* (+ y x) z) (* x z) (* (+ x y) (+ z 1)) (* (+ y x) z) (* y z) (+ (* z y) (* x z)) (* (+ x y) (+ z 1)))
1.0ms	z	@	inf	((* (+ x y) (+ z 1)) (* (+ y x) z) (* x z) (* (+ x y) (+ z 1)) (* (+ y x) z) (* y z) (+ (* z y) (* x z)) (* (+ x y) (+ z 1)))
1.0ms	x	@	-inf	((* (+ x y) (+ z 1)) (* (+ y x) z) (* x z) (* (+ x y) (+ z 1)) (* (+ y x) z) (* y z) (+ (* z y) (* x z)) (* (+ x y) (+ z 1)))
1.0ms	y	@	-inf	((* (+ x y) (+ z 1)) (* (+ y x) z) (* x z) (* (+ x y) (+ z 1)) (* (+ y x) z) (* y z) (+ (* z y) (* x z)) (* (+ x y) (+ z 1)))
1.0ms	z	@	0	((* (+ x y) (+ z 1)) (* (+ y x) z) (* x z) (* (+ x y) (+ z 1)) (* (+ y x) z) (* y z) (+ (* z y) (* x z)) (* (+ x y) (+ z 1)))

simplify237.0ms (5.2%)

Memory

-2.8MiB live, 111.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	110
1	252	110
2	794	110
3	2697	110
4	5209	110
0	8119	108

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y z)
(+ (* x z) (* y z))
(* x z)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(+ x y)
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))

Outputs
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* x z)
(*.f64 z x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ z (/ (* y z) x)))
(*.f64 z (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 z (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ z (/ (* x z) y)))
(*.f64 z (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 z (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 z (+.f64 y x))

rewrite258.0ms (5.7%)

Memory

-1.5MiB live, 81.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	21	78
1	82	76
2	660	76
0	8596	76

Stop Event

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

Counts

8 → 113

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ y x) z) (*.f64 x z))
(*.f64 x z)
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ y x) z) (*.f64 y z))
(*.f64 y z)
(fma.f64 z y (*.f64 x z))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))

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

eval55.0ms (1.2%)

Memory: -14.8MiB live, 22.3MiB allocated
Compiler: Compiled 3 152 to 400 computations (87.3% saved)

prune4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	3	3
Done	1	3	4
Total	125	7	132

Accuracy

100.0%

Counts

132 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.2%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	50.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	52.1%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	57.9%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	43.6%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
✓	23.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
✓	23.7%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Compiler

Compiled 96 to 71 computations (26% saved)

simplify7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	21	16
2	49	16
3	96	16
4	182	16
5	222	16
6	222	16
0	222	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x

Outputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x

localize28.0ms (0.6%)

Memory

-12.8MiB live, 25.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 y x)
accuracy	26.95420351057624	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Samples

23.0ms

256×

valid

Compiler

Compiled 30 to 19 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (71.3% of total)

ival-add: 4.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 18

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)

Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((* (+ x y) (+ z 1)) (+ y x))
0.0ms	x	@	-inf	((* (+ x y) (+ z 1)) (+ y x))
0.0ms	y	@	inf	((* (+ x y) (+ z 1)) (+ y x))
0.0ms	y	@	-inf	((* (+ x y) (+ z 1)) (+ y x))
0.0ms	z	@	-inf	((* (+ x y) (+ z 1)) (+ y x))

simplify177.0ms (3.9%)

Memory

5.0MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	88
1	208	88
2	724	88
3	2304	88
4	4887	88
5	7296	88
0	8283	86

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 16

Calls

Call 1

Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))

Outputs
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))

rewrite176.0ms (3.9%)

Memory

8.7MiB live, 120.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	54	14
2	505	14
3	6529	14
0	8674	14

Stop Event

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

Counts

2 → 107

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)

Outputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (-.f64 y x) (+.f64 y x)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1 binary64)) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x)))) (.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y)))) (.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal -3 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal -3 binary64)))) (fma.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))) (fma.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64)))) (fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval100.0ms (2.2%)

Memory: -36.6MiB live, 9.7MiB allocated
Compiler: Compiled 3 009 to 426 computations (85.8% saved)

prune5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	112	7	119

Accuracy

100.0%

Counts

119 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.2%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	50.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	52.1%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	57.9%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	43.6%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
✓	23.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
✓	23.7%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Compiler

Compiled 217 to 104 computations (52.1% saved)

regimes81.0ms (1.8%)

Memory

-8.5MiB live, 28.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Calls

6 calls:

4.0ms	y
4.0ms	z
4.0ms	(+.f64 x y)
4.0ms	x
4.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes19.0ms (0.4%)

Memory

36.8MiB live, 36.8MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))

Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))

Calls

6 calls:

3.0ms	z
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	x
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
87.4%	2	`x`
84.4%	2	`y`
98.2%	3	`z`
84.6%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
98.3%	2	`(+.f64 x y)`
98.2%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes15.0ms (0.3%)

Memory

-6.0MiB live, 30.8MiB allocated

Counts

4 → 6

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))

Calls

6 calls:

4.0ms	(+.f64 x y)
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
73.2%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
72.6%	2	`y`
72.4%	2	`x`
86.4%	6	`z`
86.4%	6	`(+.f64 z #s(literal 1 binary64))`
78.2%	2	`(+.f64 x y)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.6MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))

Calls

2 calls:

2.0ms	z
2.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
84.5%	5	`z`
84.5%	5	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes14.0ms (0.3%)

Memory

-24.4MiB live, 12.8MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Calls

3 calls:

10.0ms	(+.f64 z #s(literal 1 binary64))
2.0ms	z
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
57.9%	1	`(+.f64 x y)`
78.6%	3	`z`
78.6%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes8.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Outputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Calls

6 calls:

1.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
1.0ms	(+.f64 x y)
1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
57.9%	1	`(+.f64 x y)`
57.9%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
57.9%	1	`x`
57.9%	1	`y`
57.9%	1	`z`
57.9%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.1926227680030254e-251	2.5129852308400943e-249

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.447956560538476e+21	7.4628761704950365e+28
0.0ms	0.9999999563752094	0.9999999797136797
0.0ms	-1782981518089.8032	-695606794114.8839
0.0ms	-5.896249019548598e+50	-1.2103658329912957e+49
0.0ms	-3.0534905562728584e+184	-3.8458786791222478e+177

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.447956560538476e+21	7.4628761704950365e+28
0.0ms	-199587.96085980302	0.9999999157331331
0.0ms	-5.896249019548598e+50	-1.2103658329912957e+49
0.0ms	-3.0534905562728584e+184	-3.8458786791222478e+177

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000083984	61071940.328609265
0.0ms	-199587.96085980302	0.9999999157331331

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify47.0ms (1%)

Memory

-15.3MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	329
1	59	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 4503599447226511/4503599627370496 binary64)) #s(approx ( (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2000000000000000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z))))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -100000 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2000000000000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -100000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 y x) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 4503599447226511/4503599627370496 binary64)) #s(approx ( (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2000000000000000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z))))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 4503599447226511/4503599627370496 binary64)) #s(approx ( (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2000000000000000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y))))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -100000 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2000000000000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -100000 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2000000000000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -100000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -100000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

soundness1.0s (22.7%)

Memory

3.4MiB live, 433.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	96
1	219	96
2	734	96
3	2464	96
4	4974	96
5	7660	96
0	8229	94
0	65	110
1	252	110
2	794	110
3	2697	110
4	5209	110
0	8119	108
0	120	207
1	443	207
2	1344	207
3	4022	207
4	6752	207
0	8289	197

Stop Event

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

Compiler

Compiled 398 to 151 computations (62.1% saved)

preprocess83.0ms (1.8%)

Memory: -27.0MiB live, 58.7MiB allocated
Remove: (sort x y)
Compiler: Compiled 700 to 144 computations (79.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample685.0ms (15.1%)

explain101.0ms (2.2%)

preprocess168.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize18.0ms (0.4%)

series4.0ms (0.1%)

simplify148.0ms (3.3%)

rewrite182.0ms (4%)

eval58.0ms (1.3%)

prune9.0ms (0.2%)

simplify8.0ms (0.2%)

localize95.0ms (2.1%)

series13.0ms (0.3%)

simplify147.0ms (3.2%)

rewrite224.0ms (4.9%)

eval218.0ms (4.8%)

prune19.0ms (0.4%)

simplify10.0ms (0.2%)

localize72.0ms (1.6%)

series7.0ms (0.1%)

simplify237.0ms (5.2%)

rewrite258.0ms (5.7%)

eval55.0ms (1.2%)

prune4.0ms (0.1%)

simplify7.0ms (0.1%)

localize28.0ms (0.6%)

series2.0ms (0%)

simplify177.0ms (3.9%)

rewrite176.0ms (3.9%)

eval100.0ms (2.2%)

prune5.0ms (0.1%)

regimes81.0ms (1.8%)

regimes19.0ms (0.4%)

regimes15.0ms (0.3%)

regimes4.0ms (0.1%)

regimes14.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify47.0ms (1%)

soundness1.0s (22.7%)

preprocess83.0ms (1.8%)

end0.0ms (0%)

Profiling