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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze40.0ms (0.7%)

Memory

-2.5MiB live, 78.9MiB 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)

sample752.0ms (13.8%)

Memory

15.5MiB live, 1 053.1MiB allocated

Samples

463.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 84.0ms (38.6% of total)

ival-mult: 76.0ms (35% of total)

ival-add: 48.0ms (22.1% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain86.0ms (1.6%)

Memory

-21.9MiB live, 100.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
45	-	3	(-2.4283723947360523e-238 -6.982873686368241e-255 -2.9774302745253533e-75)	`(/.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	56
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	9	0
↳	`(*.f64 x (+.f64 y z))`	underflow	9

Confusion

	Predicted +	Predicted -
+	42	3
-	0	211

Precision

1.0

Recall

0.9333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	3
-	0	0	211

Precision?

1.0

Recall?

0.9333333333333333

Freqs

test

number	freq
0	214
1	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

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

ival-div: 3.0ms (28.1% of total)

ival-add: 3.0ms (28.1% of total)

ival-mult: 3.0ms (28.1% of total)

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

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

preprocess256.0ms (4.7%)

Memory

4.4MiB live, 155.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.1%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify135.0ms (2.5%)

Memory

-0.5MiB live, 124.5MiB 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

localize21.0ms (0.4%)

Memory

-6.9MiB live, 30.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.0078125	(*.f64 x (+.f64 y z))
accuracy	10.171261007322151	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

11.0ms

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 (40% of total)

ival-mult: 2.0ms (40% of total)

ival-add: 1.0ms (20% of total)

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

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

series7.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

3 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify244.0ms (4.5%)

Memory

1.0MiB live, 151.7MiB 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)

rewrite319.0ms (5.9%)

Memory

22.8MiB live, 186.3MiB 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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eval133.0ms (2.4%)

Memory: -4.2MiB live, 114.4MiB allocated
Compiler: Compiled 8 414 to 1 306 computations (84.5% saved)

prune26.0ms (0.5%)

Memory

-19.3MiB live, 19.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	379	6	385
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	379	7	386

Accuracy

100.0%

Counts

386 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.1%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	40.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	98.4%	(/.f64 x (/.f64 z (+.f64 z y)))
	84.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
▶	85.1%	(*.f64 (/.f64 x z) (+.f64 z y))
▶	98.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 125 to 96 computations (23.2% saved)

simplify151.0ms (2.8%)

Memory

9.6MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 z (+.f64 z y))
cost-diff	512	(/.f64 x (/.f64 z (+.f64 z y)))
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 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 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))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	32	109
1	55	109
2	68	109
3	76	108
4	77	108
5	194	108
6	648	108
7	2789	108
8	3853	108
9	4740	108
10	4823	108
11	4908	108
12	5013	108
13	5135	108
14	6925	108
0	8239	108

Stop Event

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

Calls

Call 1

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

Outputs
#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 #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
(*.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
(/.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

localize89.0ms (1.6%)

Memory

5.4MiB live, 43.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.0078125	(/.f64 z (+.f64 z y))
accuracy	0.9988950296232588	(/.f64 x (/.f64 z (+.f64 z y)))
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 z y)
accuracy	9.5129551616765	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0	(*.f64 z x)
accuracy	10.171261007322151	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	29.37932839815395	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	10.171261007322151	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	29.539770481629077	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	0.9871762796232588	(fma.f64 (/.f64 y z) x x)

Samples

78.0ms

256×

valid

Compiler

Compiled 202 to 38 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 54.0ms (83.1% of total)

ival-mult: 7.0ms (10.8% of total)

ival-add: 4.0ms (6.2% of total)

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

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

series34.0ms (0.6%)

Memory

-15.1MiB live, 23.0MiB allocated

Counts

14 → 44

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	y	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ x (/ z (+ z y))) (/ z (+ z y)))
3.0ms	x	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ x (/ z (+ z y))) (/ z (+ z y)))
2.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ x (/ z (+ z y))) (/ z (+ z y)))
2.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ x (/ z (+ z y))) (/ z (+ z y)))
2.0ms	y	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ x (/ z (+ z y))) (/ z (+ z y)))

simplify206.0ms (3.8%)

Memory

5.7MiB live, 164.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	394
1	497	378
2	1318	354
3	4826	352
0	8327	332

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 41

Calls

Call 1

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

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

rewrite255.0ms (4.7%)

Memory

16.5MiB live, 287.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	32	92
1	127	92
2	876	91
0	8471	91

Stop Event

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

Counts

14 → 1 659

Calls

Call 1

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

Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(.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 z y))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 z y))
(.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 z y))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x z)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 z (-.f64 z y)) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (*.f64 z (-.f64 z y))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 z (-.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (*.f64 y y)))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #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 y #s(literal 3 binary64)) (pow.f64 z #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)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 z y) x) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (*.f64 z (+.f64 z y)))
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(fma.f64 z (/.f64 (/.f64 z (+.f64 z y)) (-.f64 z y)) (*.f64 (neg.f64 y) (/.f64 (/.f64 z (+.f64 z y)) (-.f64 z y))))
(fma.f64 y (/.f64 (/.f64 z (+.f64 z y)) (-.f64 y z)) (*.f64 (neg.f64 z) (/.f64 (/.f64 z (+.f64 z y)) (-.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 z) y)) (/.f64 (neg.f64 z) (+.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) (+.f64 z y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y z)) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 (/.f64 z (+.f64 z y)) (-.f64 y z))) (.f64 (neg.f64 z) (/.f64 (/.f64 z (+.f64 z y)) (-.f64 y z))))
(+.f64 (.f64 z (/.f64 (/.f64 z (+.f64 z y)) (-.f64 z y))) (.f64 (neg.f64 y) (/.f64 (/.f64 z (+.f64 z y)) (-.f64 z y))))
(+.f64 (.f64 (.f64 z (-.f64 z y)) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 y y) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 (.f64 z (-.f64 z y)) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 y (-.f64 y z)) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 (.f64 z z) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 z z) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 (.f64 y (-.f64 y z)) (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (/.f64 z (+.f64 z y)) (-.f64 y z)) y) (.f64 (/.f64 (/.f64 z (+.f64 z y)) (-.f64 y z)) (neg.f64 z)))
(+.f64 (.f64 (/.f64 (/.f64 z (+.f64 z y)) (-.f64 z y)) z) (.f64 (/.f64 (/.f64 z (+.f64 z y)) (-.f64 z y)) (neg.f64 y)))
(+.f64 (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 z (-.f64 z y))) (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y y)))
(+.f64 (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 z (-.f64 z y))))
(+.f64 (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y (-.f64 y z))) (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 z z)))
(+.f64 (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 z z)) (.f64 (/.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y (-.f64 y z))))

eval111.0ms (2%)

Memory: -6.7MiB live, 224.6MiB allocated
Compiler: Compiled 21 606 to 2 657 computations (87.7% saved)

prune33.0ms (0.6%)

Memory

12.8MiB live, 60.6MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	928	4	932
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	931	8	939

Accuracy

100.0%

Counts

939 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.1%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	40.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	48.9%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	51.9%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	98.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	84.6%	#s(approx (/ (* x (+ y z)) z) (/.f64 (+.f64 z y) (/.f64 z x)))
▶	45.4%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 91 to 66 computations (27.5% saved)

simplify95.0ms (1.7%)

Memory

-13.5MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	99
0	29	99
1	46	99
2	53	99
3	55	99
4	61	99
5	62	99
6	64	99
7	70	99
8	73	99
9	208	99
10	726	99
11	3259	99
12	3662	99
13	3889	99
14	4788	99
15	4828	99
16	4871	99
17	7302	99
0	8146	95

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (1%)

Memory

28.6MiB live, 109.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	0.9988950296232588	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	32.224694050845876	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0.9988950296232588	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy	30.744681285369968	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
accuracy	0	(/.f64 z x)
accuracy	0	(+.f64 z y)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (/.f64 (+.f64 z y) (/.f64 z x)))
accuracy	9.866219973671177	(/.f64 (+.f64 z y) (/.f64 z x))
accuracy	0	(/.f64 x z)
accuracy	4.822491436854723	(*.f64 (/.f64 x z) y)
accuracy	31.743651243534643	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Samples

38.0ms

256×

valid

Compiler

Compiled 174 to 38 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 21.0ms (78.2% of total)

ival-add: 3.0ms (11.2% of total)

ival-mult: 3.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-0.6MiB live, 35.6MiB allocated

Counts

12 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (+ z y) (/ z x)) (/ (* x (+ y z)) z) (+ z y) (/ z x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
4.0ms	x	@	inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (+ z y) (/ z x)) (/ (* x (+ y z)) z) (+ z y) (/ z x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	z	@	0	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (+ z y) (/ z x)) (/ (* x (+ y z)) z) (+ z y) (/ z x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (+ z y) (/ z x)) (/ (* x (+ y z)) z) (+ z y) (/ z x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	z	@	inf	((/ (* x (+ y z)) z) (* (/ x z) y) (/ x z) (/ (+ z y) (/ z x)) (/ (* x (+ y z)) z) (+ z y) (/ z x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))

simplify147.0ms (2.7%)

Memory

-19.9MiB live, 237.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	344
1	424	328
2	1087	304
3	4119	302
0	8497	284

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 31

Calls

Call 1

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

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

rewrite127.0ms (2.3%)

Memory

3.1MiB live, 201.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	88
0	29	88
1	110	88
2	690	88
3	7492	88
0	8285	88

Stop Event

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

Counts

12 → 643

Calls

Call 1

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

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

eval68.0ms (1.3%)

Memory: 4.5MiB live, 162.4MiB allocated
Compiler: Compiled 14 927 to 2 024 computations (86.4% saved)

prune12.0ms (0.2%)

Memory

2.7MiB live, 39.9MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	655	2	657
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	656	9	665

Accuracy

100.0%

Counts

665 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.1%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	40.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	48.9%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	51.9%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	98.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	45.3%	#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
▶	48.9%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
✓	45.4%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 102 to 74 computations (27.5% saved)

simplify176.0ms (3.2%)

Memory

-5.9MiB live, 116.8MiB 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 (+ y z)) z) (/.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 (+ y z)) z) (*.f64 (/.f64 y z) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	16	48
1	28	48
2	37	48
3	39	48
4	45	48
5	46	48
6	48	48
7	54	48
8	59	48
9	176	48
10	601	48
11	2662	48
12	3570	48
13	4218	48
14	4271	48
15	4322	48
16	4378	48
17	5054	48
18	5221	48
19	5492	48
20	5737	48
21	6052	48
22	6443	48
23	6892	48
24	7134	48
25	7264	48
26	7405	48
27	7489	48
0	9899	46

Stop Event

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

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

11.5MiB live, 50.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z x)
accuracy	4.984044955696417	(/.f64 y (/.f64 z x))
accuracy	31.743651243534643	#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
accuracy	0	(/.f64 y z)
accuracy	4.526165134215382	(*.f64 (/.f64 y z) x)
accuracy	31.743651243534643	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))

Samples

21.0ms

256×

valid

Compiler

Compiled 86 to 24 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 7.0ms (56.7% of total)

ival-mult: 3.0ms (24.3% of total)

ival-add: 1.0ms (8.1% of total)

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

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

series10.0ms (0.2%)

Memory

-21.5MiB live, 17.6MiB allocated

Counts

6 → 9

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 y (/.f64 z x))
#s(approx (/ (* x (+ y z)) z) (/.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
3.0ms	x	@	inf	((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ (* x (+ y z)) z) (/ z x))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ (* x (+ y z)) z) (/ z x))
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ (* x (+ y z)) z) (/ z x))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ (* x (+ y z)) z) (/ z x))
1.0ms	x	@	0	((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ y (/ z x)) (/ (* x (+ y z)) z) (/ z x))

simplify194.0ms (3.6%)

Memory

12.0MiB live, 136.3MiB 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	3932	47
7	5551	47
8	7009	47
9	7384	47
10	7403	47
11	7419	47
12	7499	47
0	8040	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)

rewrite198.0ms (3.6%)

Memory

11.3MiB live, 167.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	42
1	66	42
2	383	42
3	3086	42
0	8808	42

Stop Event

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

Counts

6 → 303

Calls

Call 1

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

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

eval73.0ms (1.3%)

Memory: -43.0MiB live, 41.2MiB allocated
Compiler: Compiled 3 746 to 718 computations (80.8% saved)

prune19.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	205	9	214

Accuracy

100.0%

Counts

214 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.1%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	40.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	47.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	48.9%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	51.9%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	98.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	45.3%	#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
✓	48.9%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
✓	45.4%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 242 to 117 computations (51.7% saved)

regimes45.0ms (0.8%)

Memory

-1.0MiB live, 38.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes36.0ms (0.7%)

Memory

-18.7MiB live, 20.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
75.5%	3	`y`
63.2%	3	`x`
74.8%	4	`(/.f64 (*.f64 x (+.f64 y z)) z)`
77.7%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.3%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB 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:

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

Results

Accuracy	Segments	Branch
51.9%	1	`x`
51.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
51.9%	1	`y`
51.9%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch37.0ms (0.7%)

Memory

5.7MiB live, 44.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.3472209198097032e-43	1.421491131965658e-37
24.0ms	-2.5861656276597685e-91	-9.318444415623338e-116

Samples

24.0ms

320×

valid

Compiler

Compiled 410 to 372 computations (9.3% saved)

Precisions

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

ival-mult: 12.0ms (72.3% of total)

ival-div: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

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

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

bsearch32.0ms (0.6%)

Memory

-31.2MiB live, 10.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.3472209198097032e-43	1.421491131965658e-37
27.0ms	-2.5861656276597685e-91	-9.318444415623338e-116

Samples

2.0ms

48×

valid

Compiler

Compiled 450 to 392 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3472209198097032e-43	1.421491131965658e-37
1.0ms	-2.5861656276597685e-91	-9.318444415623338e-116

Compiler

Compiled 450 to 392 computations (12.9% saved)

simplify33.0ms (0.6%)

Memory

20.2MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	138
1	42	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 z #s(literal -8807034685401875/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 4789048565205903/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -8689607556263183/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 1915619426082361/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -8807034685401875/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 4789048565205903/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 z #s(literal -8807034685401875/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 4789048565205903/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -8689607556263183/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 1915619426082361/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -8807034685401875/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 4789048565205903/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

soundness1.1s (19.5%)

Memory

4.2MiB live, 442.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	394
1	497	378
2	1318	354
3	4826	352
0	8327	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
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	21	88
0	29	88
1	110	88
2	690	88
3	7492	88
0	8285	88

Stop Event

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

Compiler

Compiled 280 to 139 computations (50.4% saved)

preprocess74.0ms (1.4%)

Memory: -16.6MiB live, 59.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 332 to 114 computations (65.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (0.7%)

sample752.0ms (13.8%)

explain86.0ms (1.6%)

preprocess256.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify135.0ms (2.5%)

localize21.0ms (0.4%)

series7.0ms (0.1%)

simplify244.0ms (4.5%)

rewrite319.0ms (5.9%)

eval133.0ms (2.4%)

prune26.0ms (0.5%)

simplify151.0ms (2.8%)

localize89.0ms (1.6%)

series34.0ms (0.6%)

simplify206.0ms (3.8%)

rewrite255.0ms (4.7%)

eval111.0ms (2%)

prune33.0ms (0.6%)

simplify95.0ms (1.7%)

localize53.0ms (1%)

series16.0ms (0.3%)

simplify147.0ms (2.7%)

rewrite127.0ms (2.3%)

eval68.0ms (1.3%)

prune12.0ms (0.2%)

simplify176.0ms (3.2%)

localize27.0ms (0.5%)

series10.0ms (0.2%)

simplify194.0ms (3.6%)

rewrite198.0ms (3.6%)

eval73.0ms (1.3%)

prune19.0ms (0.3%)

regimes45.0ms (0.8%)

regimes36.0ms (0.7%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch37.0ms (0.7%)

bsearch32.0ms (0.6%)

bsearch2.0ms (0%)

simplify33.0ms (0.6%)

soundness1.1s (19.5%)

preprocess74.0ms (1.4%)

end0.0ms (0%)

Profiling