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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.8%)

Memory

-19.0MiB live, 55.2MiB 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)

sample727.0ms (13.6%)

Memory

-9.0MiB live, 1 035.7MiB allocated

Samples

474.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-add: 83.0ms (33.7% of total)

ival-div: 79.0ms (32% of total)

ival-mult: 75.0ms (30.4% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain61.0ms (1.1%)

Memory

26.1MiB live, 102.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	3	(-2.4510506169882684e-127 2.4166157808810087e-220 2.1316748831076525e-188)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	33	0
↳	`(*.f64 x (+.f64 y z))`	overflow	55
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	5	0
↳	`(*.f64 x (+.f64 y z))`	underflow	5

Confusion

	Predicted +	Predicted -
+	38	3
-	0	215

Precision

1.0

Recall

0.926829268292683

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	3
-	0	0	215

Precision?

1.0

Recall?

0.926829268292683

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-add: 6.0ms (42.7% of total)

ival-div: 4.0ms (28.5% of total)

ival-mult: 3.0ms (21.4% of total)

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

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

preprocess211.0ms (4%)

Memory

-6.8MiB live, 118.0MiB 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

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify161.0ms (3%)

Memory

-37.4MiB live, 95.2MiB 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

localize16.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.0078125	(*.f64 x (+.f64 y z))
accuracy	9.246321633739859	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (39.3% of total)

ival-mult: 2.0ms (39.3% of total)

ival-add: 1.0ms (19.7% of total)

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

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

series24.0ms (0.5%)

Memory

-21.9MiB live, 14.5MiB 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
18.0ms	z	@	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	y	@	-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	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify228.0ms (4.3%)

Memory

12.3MiB live, 99.8MiB 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)

rewrite239.0ms (4.5%)

Memory

22.7MiB live, 174.9MiB 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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eval114.0ms (2.1%)

Memory: -13.7MiB live, 94.7MiB allocated
Compiler: Compiled 8 414 to 1 306 computations (84.5% saved)

prune8.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	379	6	385
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	380	6	386

Accuracy

100.0%

Counts

386 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	48.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	97.3%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	80.7%	(*.f64 (/.f64 x z) (+.f64 z y))
	85.4%	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
▶	97.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 120 to 92 computations (23.3% saved)

simplify180.0ms (3.4%)

Memory

-22.9MiB live, 136.9MiB 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

localize112.0ms (2.1%)

Memory

0.5MiB live, 111.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(+.f64 z y)
accuracy	12.337051600922686	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	1.767496771472854	(fma.f64 (/.f64 y z) x x)
accuracy	0.0	(*.f64 z x)
accuracy	9.246321633739859	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	29.287154117173703	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0.0	(*.f64 y x)
accuracy	9.246321633739859	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	31.016148011831667	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0.0	(+.f64 z y)
accuracy	0.01171875	(/.f64 z (+.f64 z y))
accuracy	1.7323405214728542	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

54.0ms

256×

valid

Compiler

Compiled 202 to 38 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 14.0ms (56.2% of total)

ival-mult: 7.0ms (28.1% of total)

ival-add: 4.0ms (16% of total)

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

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

series22.0ms (0.4%)

Memory

4.4MiB live, 42.6MiB 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
7.0ms	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	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))

simplify144.0ms (2.7%)

Memory

15.0MiB live, 174.7MiB 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)

rewrite269.0ms (5%)

Memory

-14.0MiB live, 265.2MiB 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))))
(.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 6 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 y z)) (-.f64 (.f64 y (-.f64 y z)) (*.f64 z z)))))
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(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))))
(-.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)))

eval110.0ms (2.1%)

Memory: -10.8MiB live, 196.1MiB allocated
Compiler: Compiled 18 110 to 2 223 computations (87.7% saved)

prune16.0ms (0.3%)

Memory

10.6MiB live, 58.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	927	5	932
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	931	7	938

Accuracy

100.0%

Counts

938 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(fma.f64 (/.f64 x z) y x)
✓	48.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	47.2%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	52.5%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
▶	48.1%	(.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
✓	97.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	44.7%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 131 to 99 computations (24.4% saved)

simplify128.0ms (2.4%)

Memory

-14.7MiB live, 99.2MiB 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

localize59.0ms (1.1%)

Memory

24.0MiB live, 106.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))
accuracy	9.324446633990213	(.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))))
accuracy	31.016148011831667	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0.0	(/.f64 z y)
accuracy	1.7323405214728542	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	32.57269548996429	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0.0	(/.f64 x z)
accuracy	6.1808966416928035	(*.f64 (/.f64 x z) y)
accuracy	32.064169112948115	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
accuracy	1.7323405214728542	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy	30.264564210944442	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 x z)
accuracy	4.783876485664623	(fma.f64 (/.f64 x z) y x)

Samples

47.0ms

256×

valid

Compiler

Compiled 219 to 44 computations (79.9% saved)

Precisions

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

ival-mult: 19.0ms (56.3% of total)

ival-div: 9.0ms (26.7% of total)

ival-add: 3.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-8.5MiB live, 30.2MiB 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))
3.0ms	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))

simplify123.0ms (2.3%)

Memory

16.4MiB live, 173.1MiB 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)

rewrite197.0ms (3.7%)

Memory

-31.0MiB live, 179.3MiB 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)

eval115.0ms (2.1%)

Memory: 0.7MiB live, 82.3MiB allocated
Compiler: Compiled 6 285 to 856 computations (86.4% saved)

prune7.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	343	2	345
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	344	8	352

Accuracy

100.0%

Counts

352 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.5%	(fma.f64 (/.f64 x z) y x)
✓	48.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	47.2%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	52.5%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	97.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	44.5%	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
▶	47.2%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	44.7%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 90 to 65 computations (27.8% saved)

simplify145.0ms (2.7%)

Memory

-21.2MiB live, 100.1MiB 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

localize29.0ms (0.5%)

Memory

17.2MiB live, 56.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z x)
accuracy	6.636947598944652	(/.f64 y (/.f64 z x))
accuracy	32.064169112948115	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
accuracy	0.0	(/.f64 y z)
accuracy	3.145497475676542	(*.f64 (/.f64 y z) x)
accuracy	32.064169112948115	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))

Samples

23.0ms

256×

valid

Compiler

Compiled 86 to 24 computations (72.1% saved)

Precisions

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

ival-div: 11.0ms (76.7% of total)

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

ival-add: 1.0ms (7% of total)

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

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

series13.0ms (0.2%)

Memory

-25.7MiB live, 13.7MiB 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
6.0ms	y	@	-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	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))

simplify175.0ms (3.3%)

Memory

14.7MiB live, 94.5MiB 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)

rewrite211.0ms (3.9%)

Memory

-8.0MiB live, 189.5MiB 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)))

eval22.0ms (0.4%)

Memory: -7.1MiB live, 31.2MiB allocated
Compiler: Compiled 3 053 to 603 computations (80.2% saved)

prune6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	167	8	175

Accuracy

100.0%

Counts

175 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.5%	(fma.f64 (/.f64 x z) y x)
✓	48.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	47.2%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	52.5%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	97.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	44.5%	#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
✓	47.2%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
✓	44.7%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 236 to 112 computations (52.5% saved)

regimes23.0ms (0.4%)

Memory

-8.2MiB live, 30.9MiB allocated

Counts

14 → 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 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))

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

Calls

4 calls:

8.0ms	x
5.0ms	z
4.0ms	y
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes17.0ms (0.3%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

12 → 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))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`y`
97.2%	1	`z`
97.2%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes13.0ms (0.2%)

Memory

-29.5MiB live, 16.4MiB 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 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)

Calls

4 calls:

6.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
78.9%	3	`y`
60.5%	5	`x`
76.4%	3	`z`
76.1%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.4%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`
77.0%	3	`y`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

2 → 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))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.5%	3	`z`
73.1%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`
76.4%	3	`y`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes17.0ms (0.3%)

Memory

-26.3MiB live, 13.4MiB 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:

13.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
52.5%	1	`z`
52.5%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch18.0ms (0.3%)

Memory

33.0MiB live, 33.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.1991312783957588e-100	2.1221538298160782e-100
11.0ms	-1.918465555597502e+90	-2.4187435450015708e+85

Samples

9.0ms

208×

valid

Compiler

Compiled 270 to 246 computations (8.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (24.5% of total)

ival-add: 1.0ms (24.5% of total)

ival-mult: 1.0ms (24.5% of total)

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

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

bsearch21.0ms (0.4%)

Memory

-19.6MiB live, 19.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1991312783957588e-100	2.1221538298160782e-100
19.0ms	-1.918465555597502e+90	-2.4187435450015708e+85

Samples

5.0ms

128×

valid

Compiler

Compiled 296 to 259 computations (12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (38.6% of total)

ival-add: 1.0ms (38.6% of total)

ival-mult: 1.0ms (38.6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1991312783957588e-100	2.1221538298160782e-100
1.0ms	-1.918465555597502e+90	-2.4187435450015708e+85

Compiler

Compiled 296 to 259 computations (12.5% saved)

simplify34.0ms (0.6%)

Memory

4.4MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	155
1	47	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 y #s(literal -30499999999999999065886935177470869957635138674466888817775834574601478077155175825408 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 y x)) z) (if (<=.f64 y #s(literal 2019352817565217/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -13999999999999999431834142388905078240887945255078320155376346137293854921313361957224448 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 2019352817565217/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 y z) x))))
(if (<=.f64 y #s(literal -13999999999999999431834142388905078240887945255078320155376346137293854921313361957224448 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 8274421301242841/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.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)))

Outputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 x (/.f64 z (+.f64 y z)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 y #s(literal -30499999999999999065886935177470869957635138674466888817775834574601478077155175825408 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 y x)) z) (if (<=.f64 y #s(literal 2019352817565217/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -13999999999999999431834142388905078240887945255078320155376346137293854921313361957224448 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 2019352817565217/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 y z) x))))
(if (<=.f64 y #s(literal -13999999999999999431834142388905078240887945255078320155376346137293854921313361957224448 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 8274421301242841/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.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)))

soundness1.2s (22%)

Memory

15.6MiB live, 444.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	34	105
1	131	104
2	841	102
0	8397	102
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	158	394
1	497	378
2	1318	354
3	4817	352
0	8313	332
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 348 to 166 computations (52.3% saved)

preprocess91.0ms (1.7%)

Memory: -10.7MiB live, 70.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 366 to 128 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (0.8%)

sample727.0ms (13.6%)

explain61.0ms (1.1%)

preprocess211.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify161.0ms (3%)

localize16.0ms (0.3%)

series24.0ms (0.5%)

simplify228.0ms (4.3%)

rewrite239.0ms (4.5%)

eval114.0ms (2.1%)

prune8.0ms (0.1%)

simplify180.0ms (3.4%)

localize112.0ms (2.1%)

series22.0ms (0.4%)

simplify144.0ms (2.7%)

rewrite269.0ms (5%)

eval110.0ms (2.1%)

prune16.0ms (0.3%)

simplify128.0ms (2.4%)

localize59.0ms (1.1%)

series17.0ms (0.3%)

simplify123.0ms (2.3%)

rewrite197.0ms (3.7%)

eval115.0ms (2.1%)

prune7.0ms (0.1%)

simplify145.0ms (2.7%)

localize29.0ms (0.5%)

series13.0ms (0.2%)

simplify175.0ms (3.3%)

rewrite211.0ms (3.9%)

eval22.0ms (0.4%)

prune6.0ms (0.1%)

regimes23.0ms (0.4%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes17.0ms (0.3%)

bsearch18.0ms (0.3%)

bsearch21.0ms (0.4%)

bsearch1.0ms (0%)

simplify34.0ms (0.6%)

soundness1.2s (22%)

preprocess91.0ms (1.7%)

end0.0ms (0%)

Profiling