Metrics for Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze74.0ms (0.9%)

Memory

27.3MiB live, 101.8MiB 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
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample851.0ms (10.7%)

Memory

-3.5MiB live, 1 306.9MiB allocated

Samples

561.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-mult: 224.0ms (62.2% of total)

ival-add: 68.0ms (18.9% of total)

ival-div: 53.0ms (14.7% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain82.0ms (1%)

Memory

22.2MiB live, 181.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	1	(-2.443552608375879e-72 3.5128801771983143e+23 8.471249486479796e-162)	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(+.f64 z #s(literal 1 binary64))`
0	-	0	-	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/o	13	0
↳	`(*.f64 x y)`	overflow	34
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	93
↳	`(*.f64 z z)`	overflow	73
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/u	8	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	48
↳	`(*.f64 z z)`	underflow	48
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/o	7	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	93
↳	`(*.f64 z z)`	overflow	73
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/n	3	0
↳	`(*.f64 x y)`	overflow	34
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/n	3	0
↳	`(*.f64 x y)`	underflow	14
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/u	2	0
↳	`(*.f64 x y)`	underflow	14
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	48
↳	`(*.f64 z z)`	underflow	48

Confusion

	Predicted +	Predicted -
+	36	1
-	0	219

Precision

1.0

Recall

0.972972972972973

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	1
-	0	0	219

Precision?

1.0

Recall?

0.972972972972973

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 11.0ms (57.5% of total)

ival-div: 5.0ms (26.2% of total)

ival-add: 3.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess146.0ms (1.8%)

Memory

-11.0MiB live, 65.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	110
1	149	102
2	625	101
3	3272	99
4	5708	99
0	9	11
0	14	11
1	34	11
2	82	11
3	180	11
4	239	11
5	243	11
0	243	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	34	31
2	82	31
3	180	31
4	239	31
5	243	31
0	243	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

4.8MiB live, 43.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 x y)
accuracy	0.06640625	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy	8.579701609254478	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Samples

18.0ms

256×

valid

Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (63.7% of total)

ival-div: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-16.9MiB live, 24.5MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
2.0ms	y	@	-inf	((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms	x	@	0	((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms	x	@	-inf	((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms	y	@	0	((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))

simplify196.0ms (2.5%)

Memory

17.3MiB live, 171.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	236
1	194	217
2	603	199
3	3001	181
4	7871	181
0	8356	176

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite158.0ms (2%)

Memory

5.4MiB live, 196.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	14	24
1	55	24
2	338	24
3	3230	24
0	8706	22

Stop Event

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

Counts

4 → 386

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z))
(.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 z)) (fma.f64 z z z))
(.f64 (neg.f64 (.f64 (neg.f64 z) z)) (+.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 z z z)))
(.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (.f64 (neg.f64 z) z))
(.f64 (.f64 (neg.f64 z) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (fma.f64 z z z)))
(*.f64 (fma.f64 z z z) (/.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))
(.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 z z) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (*.f64 z z)))
(.f64 (.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (.f64 z z) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (neg.f64 z) z)))
(.f64 (+.f64 #s(literal 1 binary64) z) (.f64 z z))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z z) z))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) z))
(*.f64 z (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 z z z))))
(*.f64 z (fma.f64 z z z))
(pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64))))) (.f64 (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64)))) (.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 z z) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) (-.f64 #s(literal 1 binary64) z))
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(/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 y (/.f64 x z)) #s(literal 1 binary64)) (fma.f64 z z z))
(/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (*.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 (fma.f64 z z z)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 z (/.f64 z x))))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) z)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) (*.f64 z z)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 (/.f64 x z) (neg.f64 y)) (neg.f64 (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) y))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 (+.f64 #s(literal 1 binary64) z) y)))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (*.f64 z (/.f64 z x)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z)
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 z z z) x) y))
(/.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (.f64 z z))
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z (/.f64 z y)) x))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (/.f64 (/.f64 y z) z) (/.f64 (+.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 y z) z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 (/.f64 (fma.f64 z z z) x) y)))
(/.f64 (.f64 (/.f64 x (.f64 z z)) y) (+.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 x (*.f64 z z)) (/.f64 (+.f64 #s(literal 1 binary64) z) y))
(/.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #s(literal 1 binary64))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z z) (*.f64 y (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(fma.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) z (.f64 (/.f64 (.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 z z) (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 (.f64 z z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 z (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z))))
(-.f64 (/.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (/.f64 z y)) x)) (/.f64 (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (/.f64 z y)) x)))
(-.f64 (/.f64 (/.f64 z (fma.f64 z z #s(literal -1 binary64))) (/.f64 (.f64 z (/.f64 z y)) x)) (/.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 z (/.f64 z y)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)) (+.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (fma.f64 z z z))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 z z z) z)) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (fma.f64 z z z))) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(exp.f64 (.f64 (-.f64 (log1p.f64 z) (log.f64 (.f64 (/.f64 x (*.f64 z z)) y))) #s(literal -1 binary64)))
(+.f64 (.f64 z (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (.f64 (.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (.f64 (.f64 z z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) z) (.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)))
(+.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 z z)) (.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(.f64 y (.f64 x #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 z) (neg.f64 z))
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval46.0ms (0.6%)

Memory: 8.3MiB live, 129.0MiB allocated
Compiler: Compiled 6 728 to 1 095 computations (83.7% saved)

prune14.0ms (0.2%)

Memory

5.8MiB live, 43.2MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	386	13	399
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	14	400

Accuracy

100.0%

Counts

400 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.3%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z (/.f64 z y)) x))
	93.9%	(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
	95.9%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
▶	96.1%	(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z)
	94.8%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
	86.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
▶	91.6%	(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
▶	96.0%	(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
✓	86.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	73.4%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	93.0%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
	86.7%	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	88.9%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
	74.9%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 321 to 239 computations (25.5% saved)

simplify224.0ms (2.8%)

Memory

-9.8MiB live, 147.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 z z z) x)
cost-diff	0	(*.f64 z (/.f64 (fma.f64 z z z) x))
cost-diff	0	(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
cost-diff	2	(*.f64 y #s(literal 1 binary64))
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(/.f64 y (fma.f64 z z z))
cost-diff	0	(*.f64 x (/.f64 y (fma.f64 z z z)))
cost-diff	0	(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
cost-diff	0	(*.f64 (neg.f64 z) (fma.f64 z z z))
cost-diff	0	(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
cost-diff	0	(neg.f64 x)
cost-diff	2	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(+.f64 #s(literal 1 binary64) z)
cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z)
cost-diff	1	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	177
0	50	175
1	111	167
2	283	167
3	1183	167
4	3273	167
5	4496	167
6	5399	167
7	5870	167
8	6217	167
9	6392	167
10	6399	167
11	6917	167
12	7189	167
13	7216	167
14	7252	167
15	7364	167
16	7535	167
17	7541	167
18	7541	167
19	7795	167
0	8023	167

Stop Event

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

Calls

Call 1

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

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

localize417.0ms (5.2%)

Memory

-6.6MiB live, 130.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 1 binary64))
accuracy	0.12890625	(*.f64 z (/.f64 (fma.f64 z z z) x))
accuracy	1.3961151427975196	(/.f64 (fma.f64 z z z) x)
accuracy	5.317637396667685	(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
accuracy	0.0	(fma.f64 z z z)
accuracy	0.775100656392907	(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
accuracy	4.849079900248353	(*.f64 x (/.f64 y (fma.f64 z z z)))
accuracy	9.001140963505794	(/.f64 y (fma.f64 z z z))
accuracy	0.0	(neg.f64 x)
accuracy	0.04296875	(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy	4.078870787086975	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy	5.237868981713517	(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 x y)
accuracy	8.579701609254478	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
accuracy	24.14030688999259	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0.0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.00390625	(/.f64 x (+.f64 #s(literal 1 binary64) z))
accuracy	0.775100656392907	(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z)
accuracy	7.204077421397537	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z))

Samples

395.0ms

256×

valid

Compiler

Compiled 183 to 29 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-mult: 339.0ms (89.6% of total)

ival-div: 33.0ms (8.7% of total)

ival-add: 4.0ms (1.1% of total)

ival-neg: 2.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Memory

-13.8MiB live, 63.5MiB allocated

Counts

20 → 89

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
7.0ms	x	@	0	((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
4.0ms	x	@	-inf	((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
3.0ms	y	@	0	((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
3.0ms	x	@	inf	((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))

simplify224.0ms (2.8%)

Memory

26.6MiB live, 139.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	1072
1	687	954
2	1703	882
3	5946	851
0	8322	826

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 86

Calls

Call 1

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

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

rewrite247.0ms (3.1%)

Memory

-22.0MiB live, 207.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	147
0	50	139
1	197	137
2	1282	137
0	8830	137

Stop Event

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

Counts

20 → 1 874

Calls

Call 1

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

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

eval210.0ms (2.6%)

Memory: 12.5MiB live, 321.8MiB allocated
Compiler: Compiled 30 295 to 4 910 computations (83.8% saved)

prune42.0ms (0.5%)

Memory

-8.0MiB live, 111.9MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 513	14	1 527
Fresh	4	4	8
Picked	3	2	5
Done	0	1	1
Total	1 520	21	1 541

Accuracy

100.0%

Counts

1 541 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.0%	(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
▶	97.9%	(/.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z))) z)
	93.9%	(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z y) z))
	95.9%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
	64.9%	(/.f64 (*.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (/.f64 y z)) z)
	86.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
	80.7%	(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
	64.7%	(/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z)))) z)
	72.3%	(/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y z))) z)
✓	86.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	73.4%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
▶	71.5%	(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z)
▶	93.0%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
	74.7%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	73.3%	(.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
	88.9%	(.f64 (neg.f64 x) (/.f64 y (.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))
✓	88.9%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	69.4%	(.f64 (neg.f64 x) #s(approx (/ y ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)))
▶	78.2%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
	86.7%	#s(approx (/ (* (/ x (+ 1 z)) (/ y z)) z) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y))
	74.9%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 568 to 409 computations (28% saved)

simplify294.0ms (3.7%)

Memory

44.6MiB live, 159.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(/.f64 y (fma.f64 z z z))
cost-diff	0	(/.f64 (/.f64 y (fma.f64 z z z)) z)
cost-diff	0	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
cost-diff	0	(/.f64 (/.f64 (neg.f64 y) z) z)
cost-diff	0	#s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) #s(approx (/ y ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) z)
cost-diff	0	#s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z))
cost-diff	0	(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
cost-diff	0	(*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z))) z)
cost-diff	2	(/.f64 (neg.f64 x) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	212
0	59	214
1	120	211
2	271	209
3	683	203
4	1925	203
5	3502	203
6	4785	203
7	5583	203
8	5857	203
9	5956	203
10	6012	203
11	6685	203
12	7039	203
13	7070	203
14	7097	203
15	7099	203
16	7099	203
17	7473	203
18	7627	203
19	7715	203
20	7811	203
21	7849	203
22	7861	203
23	7967	203
0	8507	203

Stop Event

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

Calls

Call 1

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

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

localize220.0ms (2.8%)

Memory

2.1MiB live, 119.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 z z z)
accuracy	0.1015625	(/.f64 (/.f64 y (fma.f64 z z z)) z)
accuracy	4.078870787086975	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
accuracy	9.001140963505794	(/.f64 y (fma.f64 z z z))
accuracy	0.0	(neg.f64 x)
accuracy	0.15234375	(/.f64 (/.f64 (neg.f64 y) z) z)
accuracy	4.078870787086975	(.f64 (neg.f64 x) #s(approx (/ y ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)))
accuracy	24.000568709153796	#s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))
accuracy	0.0	(*.f64 y x)
accuracy	0.775100656392907	(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z)
accuracy	4.549449665196135	(/.f64 (*.f64 y x) z)
accuracy	24.115222320452055	#s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z))
accuracy	0.0	(*.f64 z z)
accuracy	5.174506847692794	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
accuracy	5.698101626607428	(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	24.14030688999259	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0.0	(neg.f64 x)
accuracy	0.09765625	(*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z))
accuracy	0.775100656392907	(/.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z))) z)
accuracy	4.643298553356329	(/.f64 (neg.f64 x) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z)))

Samples

172.0ms

256×

valid

Compiler

Compiled 182 to 36 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 20.0ms (47.9% of total)

ival-mult: 13.0ms (31.2% of total)

ival-add: 3.0ms (7.2% of total)

ival-neg: 3.0ms (7.2% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.4%)

Memory

-19.0MiB live, 57.2MiB allocated

Counts

19 → 87

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((/ (neg x) (* (/ z y) (- -1 z))) (/ (/ (neg x) (* (/ z y) (- -1 z))) z) (neg x) (* (/ z y) (- -1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ x (+ 1 z)) (/ y z)) z) (* (/ x (+ 1 z)) (/ y z)) (/ (* y x) z) (* y x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z))
4.0ms	y	@	-inf	((/ (neg x) (* (/ z y) (- -1 z))) (/ (/ (neg x) (* (/ z y) (- -1 z))) z) (neg x) (* (/ z y) (- -1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ x (+ 1 z)) (/ y z)) z) (* (/ x (+ 1 z)) (/ y z)) (/ (* y x) z) (* y x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z))
4.0ms	y	@	inf	((/ (neg x) (* (/ z y) (- -1 z))) (/ (/ (neg x) (* (/ z y) (- -1 z))) z) (neg x) (* (/ z y) (- -1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ x (+ 1 z)) (/ y z)) z) (* (/ x (+ 1 z)) (/ y z)) (/ (* y x) z) (* y x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z))
4.0ms	x	@	-inf	((/ (neg x) (* (/ z y) (- -1 z))) (/ (/ (neg x) (* (/ z y) (- -1 z))) z) (neg x) (* (/ z y) (- -1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ x (+ 1 z)) (/ y z)) z) (* (/ x (+ 1 z)) (/ y z)) (/ (* y x) z) (* y x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z))
3.0ms	y	@	0	((/ (neg x) (* (/ z y) (- -1 z))) (/ (/ (neg x) (* (/ z y) (- -1 z))) z) (neg x) (* (/ z y) (- -1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ x (+ 1 z)) (/ y z)) z) (* (/ x (+ 1 z)) (/ y z)) (/ (* y x) z) (* y x) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (+ (* z z) z))

simplify208.0ms (2.6%)

Memory

-27.6MiB live, 133.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	1190
1	716	1063
2	1946	982
3	6552	936
0	8688	914

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 86

Calls

Call 1

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

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

rewrite184.0ms (2.3%)

Memory

-3.6MiB live, 187.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	182
0	59	182
1	233	173
2	1665	173
0	8758	173

Stop Event

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

Counts

19 → 953

Calls

Call 1

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

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

eval143.0ms (1.8%)

Memory: 7.9MiB live, 199.9MiB allocated
Compiler: Compiled 18 511 to 3 027 computations (83.6% saved)

prune29.0ms (0.4%)

Memory

-7.7MiB live, 74.9MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	938	6	944
Fresh	4	9	13
Picked	2	3	5
Done	2	1	3
Total	946	19	965

Accuracy

100.0%

Counts

965 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.0%	(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
	66.7%	(/.f64 (/.f64 (neg.f64 x) #s(approx (* (/ z y) (- -1 z)) (*.f64 (neg.f64 z) (/.f64 z y)))) z)
▶	93.9%	(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z y) z))
	64.9%	(/.f64 (*.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (/.f64 y z)) z)
▶	86.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
▶	64.7%	(/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z)))) z)
	72.3%	(/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y z))) z)
✓	73.4%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
✓	71.5%	(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z)
	78.1%	(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
✓	93.0%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
	93.0%	(*.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x)
▶	69.4%	(.f64 (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) z) x)
	88.9%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
▶	74.7%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	73.3%	(.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
	88.9%	(.f64 (neg.f64 x) (/.f64 y (.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))
	86.7%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
✓	78.2%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

Compiler

Compiled 477 to 343 computations (28.1% saved)

simplify14.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	197
0	48	198
1	85	193
2	153	193
3	250	193
4	402	193
5	458	193
6	474	193
7	476	193
8	481	193
0	481	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (1.3%)

Memory

-28.7MiB live, 127.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.775100656392907	(/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z)))) z)
accuracy	4.849079900248353	(.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z))))
accuracy	9.755829478615219	(/.f64 y (*.f64 z z))
accuracy	23.571008594281825	#s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))
accuracy	0.0	(fma.f64 z z z)
accuracy	0.0	(*.f64 y x)
accuracy	0.04296875	(*.f64 (fma.f64 z z z) z)
accuracy	8.579701609254478	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
accuracy	0.0	(/.f64 y z)
accuracy	0.1015625	(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z)
accuracy	4.078870787086975	(.f64 (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) z) x)
accuracy	30.4744938178944	#s(approx (/ y (+ (* z z) z)) (/.f64 y z))
accuracy	0.0	(*.f64 z z)
accuracy	4.078870787086975	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy	5.237868981713517	(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	24.14030688999259	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0.0	(+.f64 z #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 x (+.f64 z #s(literal 1 binary64)))
accuracy	0.13671875	(*.f64 (/.f64 z y) z)
accuracy	3.8965297224888937	(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z y) z))

Samples

53.0ms

256×

valid

Compiler

Compiled 166 to 26 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 18.0ms (47.5% of total)

ival-div: 17.0ms (44.9% of total)

ival-add: 3.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.4%)

Memory

-1.7MiB live, 75.3MiB allocated

Counts

20 → 74

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	((/ (/ x (+ z 1)) (* (/ z y) z)) (/ x (+ z 1)) (+ z 1) (* (/ z y) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ y z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* z z)))
4.0ms	y	@	-inf	((/ (/ x (+ z 1)) (* (/ z y) z)) (/ x (+ z 1)) (+ z 1) (* (/ z y) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ y z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* z z)))
3.0ms	y	@	inf	((/ (/ x (+ z 1)) (* (/ z y) z)) (/ x (+ z 1)) (+ z 1) (* (/ z y) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ y z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* z z)))
3.0ms	x	@	-inf	((/ (/ x (+ z 1)) (* (/ z y) z)) (/ x (+ z 1)) (+ z 1) (* (/ z y) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ y z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* z z)))
2.0ms	x	@	inf	((/ (/ x (+ z 1)) (* (/ z y) z)) (/ x (+ z 1)) (+ z 1) (* (/ z y) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ y z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* z z)))

simplify324.0ms (4.1%)

Memory

35.4MiB live, 237.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	963
1	626	829
2	1460	790
3	6130	752
0	8529	732

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 72

Calls

Call 1

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

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

rewrite212.0ms (2.7%)

Memory

4.5MiB live, 81.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	175
0	48	176
1	167	171
2	980	171
0	8345	171

Stop Event

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

Counts

20 → 1 302

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 x z) (.f64 (-.f64 #s(literal -1 binary64) z) z)) (neg.f64 y))
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eval576.0ms (7.2%)

Memory: -0.2MiB live, 184.5MiB allocated
Compiler: Compiled 19 849 to 2 993 computations (84.9% saved)

prune46.0ms (0.6%)

Memory

-27.3MiB live, 69.4MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1 080	3	1 083
Fresh	2	8	10
Picked	1	4	5
Done	0	4	4
Total	1 083	19	1 102

Accuracy

100.0%

Counts

1 102 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.0%	(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
	66.7%	(/.f64 (/.f64 (neg.f64 x) #s(approx (* (/ z y) (- -1 z)) (*.f64 (neg.f64 z) (/.f64 z y)))) z)
	72.3%	(/.f64 (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) x) z)
✓	86.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
	66.8%	(/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z))) z)
✓	64.7%	(/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z)))) z)
✓	73.4%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	64.9%	(/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 (/.f64 z y) z))
✓	71.5%	(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z)
	78.1%	(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
✓	93.0%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
	93.0%	(*.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x)
✓	69.4%	(.f64 (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) z) x)
	88.9%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
✓	74.7%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	73.3%	(.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
	88.9%	(.f64 (neg.f64 x) (/.f64 y (.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))
	86.7%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
✓	78.2%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

Compiler

Compiled 789 to 333 computations (57.8% saved)

regimes67.0ms (0.8%)

Memory

4.5MiB live, 125.7MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	x
13.0ms	z
12.0ms	(*.f64 x y)
10.0ms	y
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
97.9%	1	`(*.f64 x y)`
97.9%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes99.0ms (1.2%)

Memory

-10.4MiB live, 104.2MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
28.0ms	z
9.0ms	x
9.0ms	y
9.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
96.1%	1	`y`
96.1%	1	`z`
98.3%	2	`(*.f64 x y)`
98.3%	2	`x`
98.1%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.1%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes28.0ms (0.4%)

Memory

9.0MiB live, 52.8MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
8.0ms	x
8.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
98.0%	2	`x`
98.0%	2	`(*.f64 x y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes68.0ms (0.9%)

Memory

27.5MiB live, 103.9MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	z
10.0ms	x
8.0ms	y
8.0ms	(*.f64 x y)
7.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
96.0%	1	`y`
96.0%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
96.0%	1	`z`
96.0%	1	`(*.f64 x y)`
96.0%	1	`x`
96.0%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes60.0ms (0.8%)

Memory

-36.3MiB live, 83.4MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
10.0ms	x
6.0ms	z
6.0ms	y
6.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
93.0%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
95.2%	2	`(*.f64 x y)`
93.0%	1	`x`
93.0%	1	`y`
97.2%	3	`z`
97.2%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes12.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	z
5.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.1%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
97.1%	3	`z`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.5%)

Memory

7.3MiB live, 82.3MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

9.0ms	z
7.0ms	y
6.0ms	x
6.0ms	(*.f64 x y)
5.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
92.9%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
88.9%	1	`x`
91.5%	2	`y`
94.1%	3	`(*.f64 x y)`
96.0%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
95.7%	3	`z`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes9.0ms (0.1%)

Memory

-41.7MiB live, 13.2MiB allocated

Counts

20 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
95.9%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes21.0ms (0.3%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
5.0ms	(*.f64 x y)
5.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
5.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
94.1%	3	`(*.f64 x y)`
92.6%	3	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
94.1%	3	`z`
94.0%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes9.0ms (0.1%)

Memory

-26.6MiB live, 12.4MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.1%	3	`z`
92.2%	2	`(*.f64 x y)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes14.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
86.7%	1	`x`
86.7%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
89.3%	2	`y`
90.0%	2	`(*.f64 x y)`
90.3%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
90.4%	3	`z`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes14.0ms (0.2%)

Memory

-13.0MiB live, 24.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 x y)
2.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
80.7%	2	`x`
79.9%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
81.8%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
81.8%	3	`z`
81.7%	2	`y`
81.7%	2	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes9.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Accuracy

Total -4.3b remaining (-30.9%)

Threshold costs -4.3b (-30.9%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
78.2%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
78.2%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
78.2%	1	`z`
78.2%	1	`x`
78.2%	1	`y`
78.2%	1	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2052222385958255e+125	1.2003244726496415e+127

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch3.0ms (0%)

Memory

-36.8MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.290670276462412e-30	1.4454001960568705e-23

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch25.0ms (0.3%)

Memory

6.3MiB live, 49.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.4027173639090974e-36	3.89574865298039e-33
9.0ms	-2.757810614878813e-50	-4.516280304880306e-51

Samples

12.0ms

224×

valid

Compiler

Compiled 392 to 309 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (58.9% of total)

ival-div: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4027173639090974e-36	3.89574865298039e-33
1.0ms	-2.757810614878813e-50	-4.516280304880306e-51

Compiler

Compiled 392 to 309 computations (21.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2892785114417247e-116	4.9362824369014634e-113
0.0ms	-7.872222777377893e+77	0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2892785114417247e-116	4.9362824369014634e-113
0.0ms	-7.872222777377893e+77	0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2052222385958255e+125	1.2003244726496415e+127
0.0ms	1.5565881408726735e-193	3.818484634663678e-193

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch68.0ms (0.8%)

Memory

-13.4MiB live, 23.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.202672673447351e-32	2.6340847319365217e-31
13.0ms	-7.025868228839382e-57	-5.013462544359858e-62

Samples

11.0ms

208×

valid

Compiler

Compiled 391 to 301 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (64.4% of total)

ival-div: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.855652990268059e-202	1.6647759142521325e-196

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1204995199299518e-38	2.128739009047277e-38

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify124.0ms (1.6%)

Memory

20.9MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	105	471
1	150	471
2	224	471
3	338	471
4	456	471
5	535	471
6	691	471
7	1830	470
8	6276	470

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z))) z)
(if (<=.f64 (.f64 x y) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 (.f64 x (/.f64 y (fma.f64 z z z))) z) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(if (<=.f64 z #s(literal -710857968762761/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (if (<=.f64 z #s(literal 1205738850797995/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z #s(approx (/ (+ ( z z) z) x) (/.f64 z x)))) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)))
(if (<=.f64 z #s(literal -710857968762761/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x) (if (<=.f64 z #s(literal 1205738850797995/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z #s(approx (/ (+ ( z z) z) x) (/.f64 z x)))) (*.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z)))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z #s(approx (/ (+ ( z z) z) x) (/.f64 z x)))) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z)))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (.f64 x y) #s(literal 4109481173084667/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (.f64 x y) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z)) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -6183964726724345/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 7307508186654515/45671926166590716193865151022383844364247891968 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (.f64 x y) #s(literal 5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) #s(approx (/ ( (/ x (+ 1 z)) (/ y z)) z) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)))
(if (<=.f64 (.f64 x y) #s(literal 8141382560850035/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

Outputs
(/.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) z))) z)
(/.f64 (/.f64 x (*.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) z))) z)
(if (<=.f64 (.f64 x y) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 (.f64 x (/.f64 y (fma.f64 z z z))) z) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(if (<=.f64 z #s(literal -710857968762761/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (if (<=.f64 z #s(literal 1205738850797995/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z #s(approx (/ (+ ( z z) z) x) (/.f64 z x)))) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)))
(if (or (<=.f64 z #s(literal -710857968762761/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (not (<=.f64 z #s(literal 1205738850797995/365375409332725729550921208179070754913983135744 binary64)))) (.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 y (.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(if (<=.f64 z #s(literal -710857968762761/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x) (if (<=.f64 z #s(literal 1205738850797995/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z #s(approx (/ (+ ( z z) z) x) (/.f64 z x)))) (*.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x)))
(if (or (<=.f64 z #s(literal -710857968762761/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (not (<=.f64 z #s(literal 1205738850797995/365375409332725729550921208179070754913983135744 binary64)))) (.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x) (/.f64 y (.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z)))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z #s(approx (/ (+ ( z z) z) x) (/.f64 z x)))) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z)))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (/.f64 y (.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (/.f64 (.f64 x #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z)))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (.f64 x y) #s(literal 4109481173084667/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (.f64 x y) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z)) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -6183964726724345/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 7307508186654515/45671926166590716193865151022383844364247891968 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (or (<=.f64 z #s(literal -6183964726724345/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (not (<=.f64 z #s(literal 7307508186654515/45671926166590716193865151022383844364247891968 binary64)))) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))))
(if (<=.f64 (.f64 x y) #s(literal 5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) #s(approx (/ ( (/ x (+ 1 z)) (/ y z)) z) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)))
(if (<=.f64 (.f64 x y) #s(literal 5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)))
(if (<=.f64 (.f64 x y) #s(literal 8141382560850035/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

soundness1.6s (19.5%)

Memory

-14.9MiB live, 947.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	236
1	194	217
2	603	199
3	3001	181
4	7871	181
0	8356	176
0	29	147
0	50	139
1	197	137
2	1282	137
0	8830	137
0	232	1072
1	687	954
2	1703	882
3	5946	851
0	8322	826
0	39	182
0	59	182
1	233	173
2	1665	173
0	8758	173
0	9	24
0	14	24
1	55	24
2	338	24
3	3230	24
0	8706	22

Stop Event

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

Compiler

Compiled 1 132 to 510 computations (54.9% saved)

preprocess302.0ms (3.8%)

Memory: 32.2MiB live, 393.8MiB allocated
Compiler: Compiled 1 338 to 452 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	30	197
0	48	198
1	85	193
2	153	193
3	250	193
4	402	193
5	458	193
6	474	193
7	476	193
8	481	193
0	481	193

Iter	Nodes	Cost
0	30	197
0	48	198
1	85	193
2	153	193
3	250	193
4	402	193
5	458	193
6	474	193
7	476	193
8	481	193
0	481	193

start0.0ms (0%)

analyze74.0ms (0.9%)

sample851.0ms (10.7%)

explain82.0ms (1%)

preprocess146.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize23.0ms (0.3%)

series17.0ms (0.2%)

simplify196.0ms (2.5%)

rewrite158.0ms (2%)

eval46.0ms (0.6%)

prune14.0ms (0.2%)

simplify224.0ms (2.8%)

localize417.0ms (5.2%)

series38.0ms (0.5%)

simplify224.0ms (2.8%)

rewrite247.0ms (3.1%)

eval210.0ms (2.6%)

prune42.0ms (0.5%)

simplify294.0ms (3.7%)

localize220.0ms (2.8%)

series32.0ms (0.4%)

simplify208.0ms (2.6%)

rewrite184.0ms (2.3%)

eval143.0ms (1.8%)

prune29.0ms (0.4%)

simplify14.0ms (0.2%)

localize107.0ms (1.3%)

series35.0ms (0.4%)

simplify324.0ms (4.1%)

rewrite212.0ms (2.7%)

eval576.0ms (7.2%)

prune46.0ms (0.6%)

regimes67.0ms (0.8%)

regimes99.0ms (1.2%)

regimes28.0ms (0.4%)

regimes68.0ms (0.9%)

regimes60.0ms (0.8%)

regimes12.0ms (0.2%)

regimes38.0ms (0.5%)

regimes9.0ms (0.1%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch25.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch68.0ms (0.8%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify124.0ms (1.6%)

soundness1.6s (19.5%)

preprocess302.0ms (3.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	197
0	48	198
1	85	193
2	153	193
3	250	193
4	402	193
5	458	193
6	474	193
7	476	193
8	481	193
0	481	193