Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.8%)

Memory

-12.6MiB live, 61.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample716.0ms (14.8%)

Memory

-12.5MiB live, 825.0MiB allocated

Samples

383.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-div: 64.0ms (34% of total)

ival-add: 60.0ms (31.9% of total)

ival-mult: 54.0ms (28.7% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain82.0ms (1.7%)

Memory

8.5MiB live, 93.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
51	-	-	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	-	`(+.f64 y z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	42	0
↳	`(*.f64 x (+.f64 y z))`	overflow	59
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	9	0
↳	`(*.f64 x (+.f64 y z))`	underflow	9

Confusion

	Predicted +	Predicted -
+	51	0
-	0	205

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	0
-	0	0	205

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	205
1	51

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (28.3% of total)

ival-add: 3.0ms (28.3% of total)

ival-mult: 3.0ms (28.3% of total)

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

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

preprocess215.0ms (4.4%)

Memory

3.5MiB live, 127.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	281	64
3	934	64
4	2669	63
5	5010	63
6	5760	63
7	5861	63
8	5957	63
9	6086	63
10	6221	63
0	6	7
0	9	7
1	19	7
2	24	7
3	25	7
4	33	7
5	35	7
6	39	7
7	46	7
8	51	7
9	160	7
10	553	7
11	2370	7
12	3773	7
13	3925	7
14	4010	7
15	4111	7
16	4246	7
17	4406	7
18	6021	7
19	7046	7
0	8041	6

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify122.0ms (2.5%)

Memory

11.1MiB live, 87.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	128	(/.f64 (*.f64 x (+.f64 y z)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	24	18
3	25	18
4	33	18
5	35	18
6	39	18
7	46	18
8	51	18
9	160	18
10	553	18
11	2370	18
12	3773	18
13	3925	18
14	4010	18
15	4111	18
16	4246	18
17	4406	18
18	6021	18
19	7046	18
0	8041	17

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
x
(+.f64 y z)
y
z

localize50.0ms (1%)

Memory

-15.6MiB live, 23.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0	(*.f64 x (+.f64 y z))
accuracy	11.950147489777102	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

46.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 36.0ms (92.3% of total)

ival-mult: 2.0ms (5.1% of total)

ival-add: 1.0ms (2.6% of total)

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

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

series7.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

3 → 22

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

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

Calls

9 calls:

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

simplify188.0ms (3.9%)

Memory

-4.4MiB live, 79.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	171	94
2	482	94
3	1325	94
4	2612	94
5	3108	94
6	3461	94
7	3899	94
8	4089	94
9	4132	94
10	6029	94
11	6805	94
12	7027	94
13	7427	94
14	7439	94
15	7448	94
0	8118	89

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite248.0ms (5.1%)

Memory

18.9MiB live, 137.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

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

Counts

3 → 379

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (neg.f64 z) z (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (+.f64 z y))
(.f64 (neg.f64 x) (.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z))
(.f64 (neg.f64 (+.f64 z y)) (.f64 x (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 z y) z) x)
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (+.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) x) z))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 z y) x) (pow.f64 z #s(literal -1 binary64)))
(.f64 (+.f64 z y) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) z) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64)))) (.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64)))) (.f64 (.f64 (.f64 z x) (pow.f64 z #s(literal -1 binary64))) (.f64 (.f64 y x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (-.f64 (.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x))) (.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y x)) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z x))))))
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eval120.0ms (2.5%)

Memory: -26.6MiB live, 46.2MiB allocated
Compiler: Compiled 8 414 to 1 306 computations (84.5% saved)

prune8.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	378	7	385
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	7	386

Accuracy

100.0%

Counts

386 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 x z)) (-.f64 z y))
▶	41.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	42.3%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	96.6%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	84.7%	(*.f64 (/.f64 x z) (+.f64 z y))
	81.1%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
▶	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 150 to 110 computations (26.7% saved)

simplify126.0ms (2.6%)

Memory

17.0MiB live, 52.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 x z)
cost-diff	128	(*.f64 (/.f64 x z) (+.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 z (+.f64 z y))
cost-diff	512	(/.f64 x (/.f64 z (+.f64 z y)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	32	112
1	55	112
2	68	112
3	76	108
4	77	108
5	194	108
6	648	108
7	2791	108
8	3863	108
9	4750	108
10	4831	108
11	4916	108
12	5021	108
13	5143	108
14	6833	108
0	8147	108

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (1.7%)

Memory

-21.6MiB live, 60.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 z y)
accuracy	9.77405998433727	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.8481334848014708	(fma.f64 (/.f64 y z) x x)
accuracy	0	(*.f64 z x)
accuracy	11.950147489777102	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	26.90949911828338	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	11.950147489777102	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	32.87533047106987	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(+.f64 z y)
accuracy	0.015625	(/.f64 z (+.f64 z y))
accuracy	2.1890006677610776	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

71.0ms

256×

valid

Compiler

Compiled 202 to 38 computations (81.2% saved)

Precisions

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

ival-mult: 40.0ms (76.5% of total)

ival-div: 9.0ms (17.2% of total)

ival-add: 4.0ms (7.7% of total)

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

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

series40.0ms (0.8%)

Memory

-13.3MiB live, 24.2MiB allocated

Counts

14 → 44

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	z	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
3.0ms	x	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	x	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	y	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms	x	@	0	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))

simplify141.0ms (2.9%)

Memory

23.1MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	394
1	497	378
2	1318	354
3	4817	352
0	8313	332

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 41

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

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

rewrite226.0ms (4.7%)

Memory

13.1MiB live, 209.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	32	95
1	127	95
2	877	91
0	8490	91

Stop Event

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

Counts

14 → 1 659

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (/.f64 y z) x x))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 4 binary64)) (.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (*.f64 y (-.f64 y z))))
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(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z (+.f64 y z)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) (.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)))
(+.f64 (.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)) (.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)))
(+.f64 (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)) x)
(+.f64 (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) (.f64 (/.f64 x z) y))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(+.f64 (.f64 (/.f64 x z) y) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 x z) y) x)
(+.f64 x (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 x z) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))

eval268.0ms (5.5%)

Memory: -12.6MiB live, 221.6MiB allocated
Compiler: Compiled 18 110 to 2 223 computations (87.7% saved)

prune56.0ms (1.2%)

Memory

3.5MiB live, 49.4MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	926	6	932
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	931	8	939

Accuracy

100.0%

Counts

939 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(fma.f64 (/.f64 x z) y x)
	83.7%	(/.f64 (+.f64 y z) (/.f64 z x))
✓	42.3%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	42.8%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	55.6%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
▶	42.2%	(.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	42.4%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 145 to 111 computations (23.4% saved)

simplify157.0ms (3.3%)

Memory

-13.8MiB live, 63.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ z (+ z y)) (/.f64 z y))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
cost-diff	0	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	123
0	34	123
1	56	122
2	85	120
3	118	120
4	188	119
5	242	119
6	437	119
7	1489	119
8	3414	119
9	5097	119
10	5957	119
11	6195	119
12	6343	119
13	6463	119
14	7287	119
0	8021	119

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.6%)

Memory

14.9MiB live, 102.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))
accuracy	12.067334989777102	(.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
accuracy	32.87533047106987	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(/.f64 z y)
accuracy	2.1890006677610776	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	34.83376496064795	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0	(/.f64 x z)
accuracy	4.859236213798336	(*.f64 (/.f64 x z) y)
accuracy	34.41579782103497	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
accuracy	2.1890006677610776	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy	28.27563440498809	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
accuracy	0	(/.f64 x z)
accuracy	3.57892477077466	(fma.f64 (/.f64 x z) y x)

Samples

35.0ms

256×

valid

Compiler

Compiled 219 to 44 computations (79.9% saved)

Precisions

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

ival-div: 10.0ms (47.1% of total)

ival-mult: 6.0ms (28.3% of total)

ival-add: 3.0ms (14.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Memory

-9.7MiB live, 28.8MiB allocated

Counts

14 → 46

Calls

Call 1

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

Outputs
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(* -1 (* x (+ y z)))
(* x (+ y z))
(* x y)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(* -1 (* x z))
(- (* -1 (* x y)) (* x z))
(* x z)
(+ (* x y) (* x z))
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(* -1 (* x y))
(* y (- (* -1 (/ (* x z) y)) x))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (/ (* x z) y) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ -1 z)
(- (* -1 (* x z)) (* x y))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (- (* -1 (/ (* x y) z)) x))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (/ (* x y) z) (* -1 x))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

Calls

9 calls:

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

simplify128.0ms (2.6%)

Memory

20.9MiB live, 173.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	427
1	508	411
2	1326	387
3	4533	385
0	8330	365

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(* -1 (* x (+ y z)))
(* x (+ y z))
(* x y)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(* -1 (* x z))
(- (* -1 (* x y)) (* x z))
(* x z)
(+ (* x y) (* x z))
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(* -1 (* x y))
(* y (- (* -1 (/ (* x z) y)) x))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (/ (* x z) y) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ -1 z)
(- (* -1 (* x z)) (* x y))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (- (* -1 (/ (* x y) z)) x))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (/ (* x y) z) (* -1 x))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))

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

rewrite120.0ms (2.5%)

Memory

-13.2MiB live, 182.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	34	105
1	131	104
2	841	102
0	8397	102

Stop Event

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

Counts

14 → 297

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (/.f64 x z)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) (.f64 (fma.f64 y (/.f64 x z) x) (pow.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 y (/.f64 x z)) (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x))
(.f64 (fma.f64 y (/.f64 x z) x) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 y (/.f64 x z)) x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 y (/.f64 x z)) x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (/.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y (/.f64 x z)) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 y (/.f64 x z)) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 x z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (neg.f64 x) (/.f64 y z) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (*.f64 y (/.f64 x z)) (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (/.f64 y z) x (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 x x (.f64 (*.f64 y (/.f64 x z)) (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y (/.f64 x z))) (-.f64 (.f64 x x) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 y (/.f64 x z)) (fma.f64 (/.f64 y z) x (neg.f64 x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) x)
(fma.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) y) x)
(fma.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 x z)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 (/.f64 x z) y x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (/.f64 x z)))) (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 x (.f64 y (/.f64 x z)))))
(-.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(+.f64 (*.f64 y (/.f64 x z)) x)
(+.f64 x (*.f64 y (/.f64 x z)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 (pow.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
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(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx ( x (+ y z)) (.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 #s(approx ( x (+ y z)) (*.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 #s(approx (* x (+ y z)) (.f64 y x)) #s(literal 2 binary64))) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
(/.f64 (neg.f64 (pow.f64 #s(approx (* x (+ y z)) (.f64 y x)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx ( x (+ y z)) (*.f64 y x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(+.f64 #s(literal 0 binary64) #s(approx (* x (+ y z)) (*.f64 y x)))
(*.f64 y x)
(*.f64 x y)

eval40.0ms (0.8%)

Memory: 0.1MiB live, 83.1MiB allocated
Compiler: Compiled 6 285 to 856 computations (86.4% saved)

prune8.0ms (0.2%)

Memory

-13.4MiB live, 26.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	343	2	345
Fresh	1	0	1
Picked	0	5	5
Done	0	2	2
Total	344	9	353

Accuracy

100.0%

Counts

353 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.4%	(fma.f64 (/.f64 x z) y x)
✓	42.3%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	42.8%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	55.6%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	42.2%	(.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	42.4%	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
▶	41.8%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	42.4%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 104 to 76 computations (26.9% saved)

simplify153.0ms (3.2%)

Memory

-1.0MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z x)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
cost-diff	384	(/.f64 y (/.f64 z x))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	16	48
1	22	48
2	37	48
3	51	48
4	54	48
5	60	48
6	65	48
7	190	48
8	668	48
9	3004	48
10	3409	48
11	4162	48
12	4208	48
13	4250	48
14	4293	48
15	5851	48
16	6305	48
17	6982	48
18	7220	48
19	7817	48
0	8056	46

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.6%)

Memory

13.2MiB live, 52.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z x)
accuracy	5.06002488908059	(/.f64 y (/.f64 z x))
accuracy	34.41579782103497	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
accuracy	0	(/.f64 y z)
accuracy	5.595455638652433	(*.f64 (/.f64 y z) x)
accuracy	34.41579782103497	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Samples

22.0ms

256×

valid

Compiler

Compiled 86 to 24 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 10.0ms (74.4% of total)

ival-mult: 2.0ms (14.9% of total)

ival-add: 1.0ms (7.4% of total)

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

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

series8.0ms (0.2%)

Memory

18.4MiB live, 18.5MiB allocated

Counts

6 → 9

Calls

Call 1

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

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

Calls

9 calls:

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

simplify136.0ms (2.8%)

Memory

-0.3MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	47
1	62	47
2	156	47
3	282	47
4	663	47
5	2347	47
6	3930	47
7	5538	47
8	7006	47
9	7381	47
10	7400	47
11	7416	47
12	7496	47
0	8027	42

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(fma.f64 x (/.f64 y z) x)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ z x)
(/.f64 z x)
x
(+ x (/ (* x y) z))
(fma.f64 x (/.f64 y z) x)
(/ y z)
(/.f64 y z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 x (/.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 x (/.f64 y z) x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 x (/.f64 y z) x)

rewrite179.0ms (3.7%)

Memory

1.6MiB live, 277.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	42
1	66	42
2	408	42
3	3698	42
0	10001	40

Stop Event

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

Counts

6 → 245

Calls

Call 1

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

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

eval18.0ms (0.4%)

Memory: 3.1MiB live, 41.9MiB allocated
Compiler: Compiled 3 053 to 603 computations (80.2% saved)

prune9.0ms (0.2%)

Memory

-16.9MiB live, 21.5MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	167	9	176

Accuracy

100.0%

Counts

176 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.4%	(fma.f64 (/.f64 x z) y x)
✓	42.3%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	42.8%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	55.6%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	42.2%	(.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
✓	95.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	42.4%	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
✓	41.8%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	42.4%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 272 to 128 computations (52.9% saved)

regimes22.0ms (0.5%)

Memory

5.3MiB live, 44.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 z (+.f64 z y)))

Calls

4 calls:

6.0ms	y
5.0ms	z
5.0ms	x
5.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`y`
96.6%	1	`z`
96.6%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes23.0ms (0.5%)

Memory

-4.1MiB live, 41.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
95.5%	1	`z`
95.5%	1	`y`
97.3%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`
95.5%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.3%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.2%)

Memory

-11.5MiB live, 27.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
77.0%	3	`z`
59.1%	3	`x`
76.9%	3	`y`
73.9%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

-18.9MiB live, 20.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
55.6%	1	`x`
55.6%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
55.6%	1	`y`
55.6%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4167588955627e+166	-1.1618662622371322e+162

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4167588955627e+166	-1.1618662622371322e+162

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch22.0ms (0.4%)

Memory

7.5MiB live, 46.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0472055709732493e+22	1.2794184557617082e+24
10.0ms	-1.2701497308036907e-42	-3.7105330692380486e-47

Samples

11.0ms

240×

valid

Compiler

Compiled 340 to 297 computations (12.6% saved)

Precisions

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

ival-div: 2.0ms (41.5% of total)

ival-mult: 2.0ms (41.5% of total)

ival-add: 1.0ms (20.7% of total)

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

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

simplify24.0ms (0.5%)

Memory

15.6MiB live, 56.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	129
1	43	129

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 z #s(literal -6590956822156015/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 13000000000000000000000 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 x (/.f64 z (+.f64 y z)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal -9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal -9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 z #s(literal -6590956822156015/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 13000000000000000000000 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

soundness802.0ms (16.6%)

Memory

-16.4MiB live, 493.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	50	94
1	171	94
2	482	94
3	1325	94
4	2612	94
5	3108	94
6	3461	94
7	3899	94
8	4089	94
9	4132	94
10	6029	94
11	6805	94
12	7027	94
13	7427	94
14	7439	94
15	7448	94
0	8118	89
0	24	105
0	34	105
1	131	104
2	841	102
0	8397	102
0	158	394
1	497	378
2	1318	354
3	4817	352
0	8313	332

Stop Event

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

Compiler

Compiled 301 to 146 computations (51.5% saved)

preprocess96.0ms (2%)

Memory: 32.4MiB live, 152.3MiB allocated
Compiler: Compiled 434 to 180 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (0.8%)

sample716.0ms (14.8%)

explain82.0ms (1.7%)

preprocess215.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify122.0ms (2.5%)

localize50.0ms (1%)

series7.0ms (0.1%)

simplify188.0ms (3.9%)

rewrite248.0ms (5.1%)

eval120.0ms (2.5%)

prune8.0ms (0.2%)

simplify126.0ms (2.6%)

localize82.0ms (1.7%)

series40.0ms (0.8%)

simplify141.0ms (2.9%)

rewrite226.0ms (4.7%)

eval268.0ms (5.5%)

prune56.0ms (1.2%)

simplify157.0ms (3.3%)

localize78.0ms (1.6%)

series18.0ms (0.4%)

simplify128.0ms (2.6%)

rewrite120.0ms (2.5%)

eval40.0ms (0.8%)

prune8.0ms (0.2%)

simplify153.0ms (3.2%)

localize28.0ms (0.6%)

series8.0ms (0.2%)

simplify136.0ms (2.8%)

rewrite179.0ms (3.7%)

eval18.0ms (0.4%)

prune9.0ms (0.2%)

regimes22.0ms (0.5%)

regimes23.0ms (0.5%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.4%)

simplify24.0ms (0.5%)

soundness802.0ms (16.6%)

preprocess96.0ms (2%)

end0.0ms (0%)

Profiling