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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze138.0ms (1.9%)

Memory

-31.8MiB live, 59.8MiB 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)

sample1.0s (14.6%)

Memory

1.1MiB live, 1 150.2MiB allocated

Samples

664.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-mult: 256.0ms (70.4% of total)

ival-div: 52.0ms (14.3% of total)

ival-add: 41.0ms (11.3% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.4% of total)

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

Bogosity

explain103.0ms (1.5%)

Memory

-12.1MiB live, 159.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
50	-	1	(1.7084888124662708e-164 1.3658821166693465e-154 1.4674111155850974e-43)	`(/.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))))`	n/u	14	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	66
↳	`(*.f64 z z)`	underflow	66
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/o	13	0
↳	`(*.f64 x y)`	overflow	38
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	90
↳	`(*.f64 z z)`	overflow	71
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/n	7	0
↳	`(*.f64 x y)`	overflow	38
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/o	5	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	90
↳	`(*.f64 z z)`	overflow	71
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/n	5	0
↳	`(*.f64 x y)`	underflow	34
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/u	5	0
↳	`(*.f64 x y)`	underflow	34
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	66
↳	`(*.f64 z z)`	underflow	66

Confusion

	Predicted +	Predicted -
+	49	1
-	0	206

Precision

1.0

Recall

0.98

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	49	0	1
-	0	0	206

Precision?

1.0

Recall?

0.98

Freqs

test

number	freq
0	207
1	49

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (55.8% of total)

ival-div: 3.0ms (18.6% of total)

ival-add: 3.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess246.0ms (3.5%)

Memory

18.1MiB live, 136.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	110
1	145	103
2	738	101
3	3668	99
4	6136	99
5	6961	99
6	7157	99
7	7175	99
8	7181	99
9	7181	99
10	7740	99
11	7902	99
12	7954	99
13	7954	99
0	9	11
0	14	11
1	38	11
2	143	11
3	591	11
4	1369	11
5	2480	11
6	2919	11
7	3050	11
8	3058	11
9	3058	11
10	3422	11
11	3738	11
12	3738	11
13	3738	11
14	3894	11
15	3894	11
0	3894	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify103.0ms (1.4%)

Memory

6.8MiB live, 45.8MiB 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	38	31
2	143	31
3	591	31
4	1369	31
5	2480	31
6	2919	31
7	3050	31
8	3058	31
9	3058	31
10	3422	31
11	3738	31
12	3738	31
13	3738	31
14	3894	31
15	3894	31
0	3894	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)

localize47.0ms (0.7%)

Memory

7.9MiB live, 46.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 x y)
accuracy	0.0703125	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy	11.7100592656459	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Samples

41.0ms

256×

valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (63.4% 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)

series27.0ms (0.4%)

Memory

3.4MiB live, 43.1MiB 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
17.0ms	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))
2.0ms	x	@	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	y	@	0	((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))

simplify164.0ms (2.3%)

Memory

-21.0MiB live, 175.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	236
1	207	215
2	857	193
3	4522	183
0	8208	179

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

rewrite155.0ms (2.2%)

Memory

40.3MiB live, 189.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	14	24
1	56	24
2	343	24
3	3087	24
0	9060	22

Stop Event

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

Counts

4 → 253

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 #s(literal -1 binary64) z) #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) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 z z))
(*.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (-.f64 (pow.f64 z #s(literal 3/2 binary64)) z))
(.f64 (+.f64 #s(literal -1 binary64) z) (.f64 z z))
(*.f64 (fma.f64 z z z) z)
(.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 z (/.f64 z (-.f64 z #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 z z) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))))
(.f64 (.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)))
(.f64 (.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 z z) (-.f64 z #s(literal -1 binary64)))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) z))
(.f64 (.f64 z z) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z))
(*.f64 z (fma.f64 z z z))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 z z z) z))) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (fma.f64 z z z) z)))) (*.f64 (fma.f64 z z z) z))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (.f64 z z)) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (.f64 z z))) (.f64 (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 z z)) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 z z)))) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (.f64 z z)) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (.f64 (.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))))) (.f64 (.f64 (.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (.f64 (.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.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 9 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))) (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.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)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 (fma.f64 z z z) z))
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(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))))))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 z z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #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 z z)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 z 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)) #s(literal 1 binary64)))
(+.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 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 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z z))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z))
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal -1 binary64))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 z z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z z))
(exp.f64 (/.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #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)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))

eval34.0ms (0.5%)

Memory: -12.8MiB live, 60.3MiB allocated
Compiler: Compiled 6 093 to 764 computations (87.5% saved)

prune291.0ms (4.1%)

Memory

-125.8MiB live, 42.3MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	254	12	266
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	254	13	267

Accuracy

100.0%

Counts

267 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z)
▶	94.9%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
▶	81.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	81.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	69.8%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	55.6%	(/.f64 (neg.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))) z)
	91.5%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
	55.9%	(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
▶	93.8%	(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
	11.1%	(.f64 (/.f64 (.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))
▶	96.6%	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
	87.5%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)))
	73.5%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 339 to 247 computations (27.1% saved)

simplify121.0ms (1.7%)

Memory

13.7MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	149
0	38	149
1	71	147
2	164	147
3	487	147
4	1056	147
5	2288	147
6	2833	147
7	3110	147
8	3188	147
9	3215	147
10	3225	147
11	3600	147
12	3916	147
13	3916	147
14	3916	147
15	4128	147
16	4224	147
17	4224	147
0	4224	147

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.1%)

Memory

-25.5MiB live, 170.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 z z z)
accuracy	0.7040666796845778	(/.f64 x (fma.f64 z z z))
accuracy	0.8512552693305591	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
accuracy	7.178506316867294	(*.f64 y (/.f64 x (fma.f64 z z z)))
accuracy	0.0	(fma.f64 z z z)
accuracy	0.1171875	(/.f64 (/.f64 x (fma.f64 z z z)) z)
accuracy	0.7040666796845778	(/.f64 x (fma.f64 z z z))
accuracy	3.8927387509424416	(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
accuracy	0.0	(fma.f64 z z z)
accuracy	0.0	(*.f64 y x)
accuracy	0.07421875	(*.f64 (fma.f64 z z z) z)
accuracy	11.7100592656459	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(*.f64 x y)
accuracy	11.7100592656459	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
accuracy	25.593713187985006	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0.0	(fma.f64 z z z)
accuracy	0.0	(/.f64 x z)
accuracy	0.9938946392007653	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
accuracy	6.735454727144454	(/.f64 y (fma.f64 z z z))

Samples

62.0ms

256×

valid

Compiler

Compiled 306 to 46 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 24.0ms (58.7% of total)

ival-div: 10.0ms (24.5% of total)

ival-add: 6.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.9%)

Memory

13.8MiB live, 52.8MiB allocated

Counts

16 → 66

Calls

Call 1

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

Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (+ z (pow z 2)))
(/ y (+ z (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))
(/ 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)
(* (pow z 2) (+ 1 z))
(/ 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))
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) 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))
(/ 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)
(* (pow z 3) (+ 1 (/ 1 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))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/ (+ (* -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 (/ (+ (* -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)))
(/ (+ 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)) (* -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 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) 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
41.0ms	y	@	-inf	((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))))
5.0ms	x	@	0	((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))))
4.0ms	x	@	-inf	((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))))
3.0ms	x	@	inf	((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))))
2.0ms	z	@	-inf	((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))))

simplify186.0ms (2.6%)

Memory

-13.2MiB live, 197.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	916
1	671	809
2	2340	732
0	8667	714

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

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

rewrite211.0ms (3%)

Memory

6.7MiB live, 120.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	38	116
1	112	114
2	578	114
3	6251	114
0	8199	114

Stop Event

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

Counts

16 → 791

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (/.f64 x z) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 x z) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(.f64 (/.f64 (.f64 x y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 y) x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(.f64 (/.f64 (.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(.f64 (.f64 (/.f64 y z) (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(.f64 (.f64 (/.f64 y z) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(.f64 (/.f64 (.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(.f64 (/.f64 (.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 x y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(.f64 (/.f64 (/.f64 (.f64 x y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(.f64 (/.f64 (neg.f64 y) (.f64 z z)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 (neg.f64 y) (.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 y (.f64 z z)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 y (.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
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eval180.0ms (2.5%)

Memory: 28.1MiB live, 145.2MiB allocated
Compiler: Compiled 19 591 to 2 410 computations (87.7% saved)

prune77.0ms (1.1%)

Memory

-31.8MiB live, 56.2MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	893	12	905
Fresh	5	2	7
Picked	1	4	5
Done	0	1	1
Total	899	19	918

Accuracy

100.0%

Counts

918 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(/.f64 (/.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) z)) z) z)
	54.9%	(/.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 #s(literal -1 binary64) z)) z)
✓	94.9%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
	63.0%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (-.f64 (/.f64 x z) x))) z)
✓	81.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	81.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	69.8%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	36.3%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
▶	72.5%	(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 y z) x)) z)
▶	91.5%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
▶	93.9%	(*.f64 (/.f64 (/.f64 x z) (fma.f64 z z z)) y)
✓	96.6%	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
	72.7%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	85.5%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
▶	75.2%	(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)
	81.6%	(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
	70.0%	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
▶	73.5%	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) (/.f64 x z))
	87.5%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)))

Compiler

Compiled 462 to 323 computations (30.1% saved)

simplify127.0ms (1.8%)

Memory

19.0MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	43	178
1	82	175
2	182	175
3	508	175
4	1111	175
5	2393	175
6	2996	175
7	3292	175
8	3370	175
9	3397	175
10	3407	175
11	3785	175
12	4101	175
13	4101	175
14	4101	175
15	4315	175
16	4411	175
17	4411	175
0	4411	175

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize69.0ms (1%)

Memory

-13.1MiB live, 108.4MiB 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	4.987331880084632	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
accuracy	6.735454727144454	(/.f64 y (fma.f64 z z z))
accuracy	0.0	(/.f64 y z)
accuracy	0.8512552693305591	(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 y z) x)) z)
accuracy	5.1952325356081435	(*.f64 (/.f64 y z) x)
accuracy	22.90178036966964	#s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 y z) x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	0.9938946392007653	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) (/.f64 x z))
accuracy	31.081110378774696	#s(approx (/ y (+ (* z z) z)) (/.f64 y z))
accuracy	0.0	(*.f64 z z)
accuracy	3.8927387509424416	(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)
accuracy	8.823191271850867	(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	25.593713187985006	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0.0	(fma.f64 z z z)
accuracy	0.0	(/.f64 x z)
accuracy	0.140625	(/.f64 (/.f64 x z) (fma.f64 z z z))
accuracy	3.8927387509424416	(*.f64 (/.f64 (/.f64 x z) (fma.f64 z z z)) y)

Samples

50.0ms

256×

valid

Compiler

Compiled 341 to 52 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 18.0ms (55.4% of total)

ival-mult: 11.0ms (33.8% of total)

ival-add: 2.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

3.3MiB live, 40.6MiB allocated

Counts

17 → 70

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((* (/ (/ x z) (+ (* z z) z)) y) (/ (/ x z) (+ (* z z) z)) (/ x z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ y z) x) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)))
6.0ms	x	@	0	((* (/ (/ x z) (+ (* z z) z)) y) (/ (/ x z) (+ (* z z) z)) (/ x z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ y z) x) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)))
3.0ms	x	@	-inf	((* (/ (/ x z) (+ (* z z) z)) y) (/ (/ x z) (+ (* z z) z)) (/ x z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ y z) x) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)))
3.0ms	y	@	-inf	((* (/ (/ x z) (+ (* z z) z)) y) (/ (/ x z) (+ (* z z) z)) (/ x z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ y z) x) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)))
3.0ms	x	@	inf	((* (/ (/ x z) (+ (* z z) z)) y) (/ (/ x z) (+ (* z z) z)) (/ x z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ y z) x) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)))

simplify168.0ms (2.4%)

Memory

15.6MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	983
1	733	874
2	2712	786
0	8675	763

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

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

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

rewrite161.0ms (2.3%)

Memory

1.6MiB live, 75.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	153
0	43	153
1	121	150
2	608	150
3	6257	150
0	8207	150

Stop Event

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

Counts

17 → 433

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (/.f64 y z) x) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(.f64 (/.f64 (.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(.f64 (/.f64 (.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(.f64 (/.f64 (.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(.f64 (/.f64 (.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 y (.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 x (.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z z z))
(.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(.f64 (.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 z z z) z))
(.f64 (.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (fma.f64 z z z) y))
(.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) y))
(.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (.f64 (fma.f64 z z z) (/.f64 x z)))
(.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 x z)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 y (.f64 z z)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x (.f64 z z)))
(.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(.f64 (fma.f64 z z z) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
(/.f64 (/.f64 (*.f64 (/.f64 y z) x) z) (-.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (.f64 y x) (.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (fma.f64 z z z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (.f64 z z))
(/.f64 (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) x) (.f64 z z))
(/.f64 (.f64 (neg.f64 y) (neg.f64 x)) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (.f64 z z))
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(/.f64 (.f64 (.f64 (/.f64 y z) x) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 y z) x) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (.f64 z z))
(/.f64 (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) x) (.f64 z z))
(/.f64 (.f64 (neg.f64 y) (neg.f64 x)) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (.f64 z z))
(/.f64 (.f64 (neg.f64 x) (neg.f64 y)) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) (.f64 z z))
(/.f64 (.f64 (neg.f64 y) x) (.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x))
(fma.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (.f64 (fma.f64 z z z) z) (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (.f64 (fma.f64 z z z) z)))
(fma.f64 (.f64 (fma.f64 z z z) z) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (.f64 (.f64 (fma.f64 z z z) z) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))))
(+.f64 (.f64 (.f64 (fma.f64 z z z) z) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))))
(+.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (.f64 (.f64 (fma.f64 z z z) z) (*.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))))
(+.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (.f64 (fma.f64 z z z) z)) (.f64 (*.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 y (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (fma.f64 z z z) z)))
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(/.f64 (/.f64 y (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z))
(/.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) #s(literal 1 binary64))
(/.f64 (/.f64 y (fma.f64 z z z)) z)
(/.f64 (/.f64 y z) (fma.f64 z z z))
(/.f64 y (*.f64 (fma.f64 z z z) z))
(neg.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z))
(.f64 (/.f64 (neg.f64 y) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(*.f64 (neg.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (fma.f64 z z z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))))
(/.f64 (*.f64 y (fma.f64 z z z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))
(/.f64 (*.f64 y (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(/.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) z)
(/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) z)
(/.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)))
(/.f64 (.f64 y (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) z)
(/.f64 (neg.f64 y) (fma.f64 z z z))
(/.f64 (/.f64 y (fma.f64 z z z)) #s(literal 1 binary64))
(/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) z))
(/.f64 y (fma.f64 z z z))
(neg.f64 (/.f64 y (fma.f64 z z z)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (fma.f64 z z z) z) (.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (fma.f64 z z z) z)))
(fma.f64 (.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z)))

eval125.0ms (1.8%)

Memory: -6.5MiB live, 75.3MiB allocated
Compiler: Compiled 11 142 to 1 591 computations (85.7% saved)

prune52.0ms (0.7%)

Memory

1.8MiB live, 39.2MiB allocated

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	519	6	525
Fresh	2	7	9
Picked	1	4	5
Done	0	5	5
Total	522	22	544

Accuracy

100.0%

Counts

544 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(/.f64 (/.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) z)) z) z)
	54.9%	(/.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 #s(literal -1 binary64) z)) z)
▶	95.5%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
	31.4%	(/.f64 (.f64 (neg.f64 x) #s(approx (/ y (+ ( z z) z)) (/.f64 y z))) z)
✓	94.9%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
✓	81.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	81.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	69.8%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	36.3%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
	69.7%	(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 y x) z)) z)
▶	73.4%	(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
✓	91.5%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
✓	93.9%	(*.f64 (/.f64 (/.f64 x z) (fma.f64 z z z)) y)
✓	96.6%	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
	87.0%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
▶	72.7%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	85.5%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
✓	75.2%	(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)
	39.8%	(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
▶	81.6%	(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
▶	70.0%	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
✓	73.5%	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) (/.f64 x z))

Compiler

Compiled 472 to 334 computations (29.2% saved)

simplify175.0ms (2.5%)

Memory

5.5MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	194
0	45	194
1	82	191
2	180	191
3	516	191
4	1157	191
5	2189	191
6	2690	191
7	2893	191
8	2945	191
9	2969	191
10	2976	191
11	3377	191
12	3741	191
13	3741	191
14	3741	191
15	3882	191
16	3882	191
0	3882	191

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize289.0ms (4.1%)

Memory

6.9MiB live, 93.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x z)
accuracy	0.109375	(/.f64 (/.f64 y z) z)
accuracy	0.9938946392007653	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
accuracy	20.526960371017093	#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
accuracy	0.0	(/.f64 x z)
accuracy	0.8512552693305591	(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
accuracy	5.022189855641842	(*.f64 (/.f64 x z) y)
accuracy	22.90178036966964	#s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) y))
accuracy	0.0	(/.f64 x z)
accuracy	0.109375	(/.f64 (/.f64 x z) z)
accuracy	3.8927387509424416	(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
accuracy	10.37726984706233	#s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z))
accuracy	0.0	(*.f64 z z)
accuracy	4.987331880084632	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy	5.198466067239992	(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	25.593713187985006	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0.0	(fma.f64 z z z)
accuracy	0.0	(/.f64 y z)
accuracy	2.4547752980907753	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
accuracy	5.1952325356081435	(*.f64 (/.f64 y z) x)

Samples

264.0ms

256×

valid

Compiler

Compiled 356 to 56 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-mult: 232.0ms (93% of total)

ival-div: 15.0ms (6% of total)

ival-add: 2.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.6%)

Memory

-15.8MiB live, 23.4MiB allocated

Counts

18 → 67

Calls

Call 1

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

Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* z (+ z (pow z 2))))
(/ x (pow z 2))
(/ x z)
(/ (* x y) (+ z (pow z 2)))
(/ y z)
(/ y (* (pow z 2) (+ 1 z)))
(/ y (+ z (pow z 2)))
(/ 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))
z
(* z (+ 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))
(/ (+ 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))
(/ (+ (* -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)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) 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))
(* (pow z 2) (+ 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)))
(/ 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))
(/ (+ (* -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))
(/ (+ 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))
(* -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 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) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) 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
18.0ms	x	@	0	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ x z) y) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms	y	@	-inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ x z) y) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms	x	@	-inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ x z) y) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms	x	@	inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ x z) y) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms	y	@	inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (* (/ x z) y) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ (/ y z) z))

simplify338.0ms (4.8%)

Memory

-1.1MiB live, 77.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	936
1	691	818
2	2476	747
0	8532	725

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

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

rewrite167.0ms (2.3%)

Memory

22.0MiB live, 97.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	170
0	45	170
1	125	167
2	619	167
3	6169	167
0	8185	167

Stop Event

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

Counts

18 → 301

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(.f64 (/.f64 (.f64 x y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(.f64 (/.f64 (.f64 x (/.f64 y z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (/.f64 y z)) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(.f64 (/.f64 (.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(.f64 (/.f64 (.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(.f64 (.f64 (/.f64 x z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (.f64 (fma.f64 z z z) (/.f64 y z)))
(.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z)))
(.f64 (.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 z z z) z))
(.f64 (.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
(.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(*.f64 (neg.f64 y) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (neg.f64 x) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(.f64 (fma.f64 z z z) (.f64 (/.f64 x z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))))
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z))
(/.f64 (/.f64 (.f64 x y) (.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 x (/.f64 y z)) z) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (fma.f64 z z z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 (/.f64 x z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (/.f64 x z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(/.f64 (.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) (neg.f64 x)) z)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (neg.f64 (.f64 (neg.f64 y) (neg.f64 x))) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 (neg.f64 y) (neg.f64 x)) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (neg.f64 y)) (.f64 z z))
(/.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) y) (.f64 z z))
(/.f64 (.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (.f64 z z))
(/.f64 (.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) z))) (.f64 z z))
(/.f64 (*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z)) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 y) x) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z))
(neg.f64 (*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z)))
(fma.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (fma.f64 z z z) z) (.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (fma.f64 z z z) z)))
(fma.f64 (.f64 (fma.f64 z z z) z) (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (.f64 (fma.f64 z z z) z) (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))))
(+.f64 (.f64 (.f64 (fma.f64 z z z) z) (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))))
(+.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (.f64 (.f64 (fma.f64 z z z) z) (*.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))))
(+.f64 (.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (fma.f64 z z z) z)) (.f64 (*.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (fma.f64 z z z) z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
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#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(neg.f64 (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 z z))
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal -1 binary64))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 z z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z z))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))
(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(.f64 y #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)))
#s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z))
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (neg.f64 x) (*.f64 z z))
(/.f64 (/.f64 (/.f64 x z) z) #s(literal 1 binary64))
(/.f64 (/.f64 x z) z)
(/.f64 x (*.f64 z z))
(neg.f64 (/.f64 (/.f64 x z) z))
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 x #s(literal 1 binary64)) z)
(/.f64 (neg.f64 x) z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x z))
(/.f64 (/.f64 (neg.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z)))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z))) z) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z)))) z)
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z))) z)
(neg.f64 (/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z))) z))
#s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z)))
(neg.f64 (neg.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 x (/.f64 y z)))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 (/.f64 x z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) z)
(/.f64 (*.f64 (neg.f64 y) x) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(neg.f64 (*.f64 x (/.f64 y z)))
(.f64 (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) z) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)) (/.f64 x z))
(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) z))
(.f64 (neg.f64 x) (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) z))
(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
(.f64 (/.f64 x z) (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)))
(.f64 (/.f64 x z) #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)))
(.f64 x (/.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) z))
(/.f64 (/.f64 (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) x) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)))) z)
(/.f64 (.f64 (neg.f64 x) #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z))) z)
(/.f64 (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) x) z)
(/.f64 (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) #s(literal 1 binary64))
(neg.f64 (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)))
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
(/.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (neg.f64 y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
(/.f64 (/.f64 y z) z)
(/.f64 y (*.f64 z z))
(neg.f64 (/.f64 (/.f64 y z) z))

eval93.0ms (1.3%)

Memory: -23.6MiB live, 99.4MiB allocated
Compiler: Compiled 7 065 to 978 computations (86.2% saved)

prune17.0ms (0.2%)

Memory

6.6MiB live, 45.9MiB allocated

Pruning

22 alts after pruning (10 fresh and 12 done)

	Pruned	Kept	Total
New	350	3	353
Fresh	1	7	8
Picked	1	4	5
Done	1	8	9
Total	353	22	375

Accuracy

100.0%

Counts

375 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(/.f64 (/.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) z)) z) z)
✓	95.5%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
	31.4%	(/.f64 (.f64 (neg.f64 x) #s(approx (/ y (+ ( z z) z)) (/.f64 y z))) z)
	71.0%	(/.f64 (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) x) z)
✓	94.9%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
✓	81.5%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	81.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	69.8%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	36.3%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
	69.7%	(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 y x) z)) z)
✓	73.4%	(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
✓	91.5%	(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
✓	93.9%	(*.f64 (/.f64 (/.f64 x z) (fma.f64 z z z)) y)
	87.0%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
✓	72.7%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	37.9%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
	85.5%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
✓	75.2%	(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)
	39.8%	(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
✓	81.6%	(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
	68.2%	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z))) (/.f64 x z))
✓	73.5%	(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) (/.f64 x z))

Compiler

Compiled 783 to 331 computations (57.7% saved)

regimes64.0ms (0.9%)

Memory

-3.0MiB live, 78.4MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)
(.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)))
(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y z)) (/.f64 x z))
(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 y z) x)) z)
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 y x) z)) z)
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 x) #s(approx (/ y (+ ( z z) z)) (/.f64 y z))) z)
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (-.f64 (/.f64 x z) x))) z)
(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z))) (/.f64 x z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 x z) (fma.f64 z z z)) y)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
(/.f64 (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 (/.f64 y z) z)) x) z)
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z)
(/.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 #s(literal -1 binary64) z)) z)
(/.f64 (/.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) z)) z) z)
(/.f64 (neg.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))) z)
(.f64 (/.f64 (.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))

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

Calls

6 calls:

20.0ms	y
10.0ms	(*.f64 x y)
9.0ms	x
9.0ms	z
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`y`
96.6%	1	`z`
96.6%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.6%	1	`(*.f64 x y)`
96.6%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes48.0ms (0.7%)

Memory

-15.1MiB live, 61.7MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

17.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
6.0ms	y
6.0ms	z
6.0ms	x
5.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
93.7%	3	`x`
94.6%	3	`y`
96.3%	3	`z`
92.4%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.0%	3	`(*.f64 x y)`
96.3%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes22.0ms (0.3%)

Memory

6.3MiB live, 44.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
5.0ms	z
5.0ms	(*.f64 x y)
4.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
91.0%	2	`y`
92.1%	2	`(*.f64 x y)`
94.5%	3	`z`
94.5%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
94.2%	3	`z`
94.2%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes22.0ms (0.3%)

Memory

-7.3MiB live, 34.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x y)
3.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
89.6%	2	`y`
90.6%	2	`(*.f64 x y)`
90.1%	2	`x`
90.3%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
92.3%	3	`z`
92.3%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes18.0ms (0.3%)

Memory

-1.0MiB live, 38.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 x y)
3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
81.6%	1	`y`
81.6%	1	`x`
81.6%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
81.6%	1	`(*.f64 x y)`
81.6%	1	`z`
81.6%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes34.0ms (0.5%)

Memory

-12.3MiB live, 26.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

20.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
3.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
82.7%	3	`z`
82.7%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
80.3%	2	`x`
81.7%	2	`y`
80.2%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
81.7%	2	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes13.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Accuracy

Total -25.4b remaining (-160%)

Threshold costs -25.4b (-160%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
75.2%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
75.2%	1	`x`
75.2%	1	`z`
75.2%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
75.2%	1	`y`
75.2%	1	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.68475689326708e-22	8293261926492963.0
0.0ms	-3.553153565278519e+35	-2.291964601633635

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4803215525832727e-207	9.72355182738313e-200
0.0ms	-3.553153565278519e+35	-2.291964601633635

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4803215525832727e-207	9.72355182738313e-200
0.0ms	-3.553153565278519e+35	-2.291964601633635

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3420589898225152e-295	5.865059484349345e-292
0.0ms	-3.553153565278519e+35	-2.291964601633635

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4868077132218896e-84	1.4871749763181165e-83

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify65.0ms (0.9%)

Memory

-27.8MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	285
1	108	285
2	229	285
3	688	285
4	1545	285
5	2375	285
6	2890	285
7	2890	285
8	2890	285

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z))) (/.f64 x z)) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (-.f64 (/.f64 x z) x))) z) (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z))) (/.f64 x z))))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (.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 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (/.f64 #s(approx (* y (/ x (+ (* z z) z))) (.f64 (/.f64 x z) y)) z) (.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 -199999999999999993726732215835951104 binary64)) (.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 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 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 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)))
(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(if (<=.f64 (.f64 x y) #s(literal 546812681195753/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)

Outputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z))) (/.f64 x z)) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (-.f64 (/.f64 x z) x))) z) (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y (*.f64 z z))) (/.f64 x z))))
(if (or (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (not (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)))) (.f64 #s(approx (/ y (+ ( z z) z)) (/.f64 y (.f64 z z))) (/.f64 x z)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (-.f64 (/.f64 x z) x))) z))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (.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 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (/.f64 #s(approx (* y (/ x (+ (* z z) z))) (.f64 (/.f64 x z) y)) z) (.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (or (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (not (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)))) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (/.f64 #s(approx (* y (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (.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 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 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 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (not (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 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 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)))
(if (or (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -199999999999999993726732215835951104 binary64)) (not (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))))
(.f64 #s(approx (/ (/ x (+ ( z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(if (<=.f64 (.f64 x y) #s(literal 546812681195753/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)

soundness1.5s (20.7%)

Memory

23.2MiB live, 895.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	170
0	45	170
1	125	167
2	619	167
3	6169	167
0	8185	167
0	195	916
1	671	809
2	2340	732
0	8667	714
0	23	116
0	38	116
1	112	114
2	578	114
3	6251	114
0	8199	114
0	28	153
0	43	153
1	121	150
2	608	150
3	6257	150
0	8207	150
0	9	24
0	14	24
1	56	24
2	343	24
3	3087	24
0	9060	22
0	62	236
1	207	215
2	857	193
3	4522	183
0	8208	179

Stop Event

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

Compiler

Compiled 674 to 306 computations (54.6% saved)

preprocess217.0ms (3.1%)

Memory: 10.3MiB live, 252.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 744 to 258 computations (65.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze138.0ms (1.9%)

sample1.0s (14.6%)

explain103.0ms (1.5%)

preprocess246.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify103.0ms (1.4%)

localize47.0ms (0.7%)

series27.0ms (0.4%)

simplify164.0ms (2.3%)

rewrite155.0ms (2.2%)

eval34.0ms (0.5%)

prune291.0ms (4.1%)

simplify121.0ms (1.7%)

localize79.0ms (1.1%)

series63.0ms (0.9%)

simplify186.0ms (2.6%)

rewrite211.0ms (3%)

eval180.0ms (2.5%)

prune77.0ms (1.1%)

simplify127.0ms (1.8%)

localize69.0ms (1%)

series32.0ms (0.5%)

simplify168.0ms (2.4%)

rewrite161.0ms (2.3%)

eval125.0ms (1.8%)

prune52.0ms (0.7%)

simplify175.0ms (2.5%)

localize289.0ms (4.1%)

series40.0ms (0.6%)

simplify338.0ms (4.8%)

rewrite167.0ms (2.3%)

eval93.0ms (1.3%)

prune17.0ms (0.2%)

regimes64.0ms (0.9%)

regimes48.0ms (0.7%)

regimes22.0ms (0.3%)

regimes7.0ms (0.1%)

regimes22.0ms (0.3%)

regimes18.0ms (0.3%)

regimes34.0ms (0.5%)

regimes13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify65.0ms (0.9%)

soundness1.5s (20.7%)

preprocess217.0ms (3.1%)

end0.0ms (0%)

Profiling