Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.1s (20%)

Memory

31.1MiB live, 1 130.0MiB allocated

Samples

760.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-div: 196.0ms (45% of total)

ival-mult: 124.0ms (28.5% of total)

ival-add: 56.0ms (12.8% of total)

ival-sub: 40.0ms (9.2% of total)

exact: 11.0ms (2.5% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain211.0ms (3.8%)

Memory

-20.6MiB live, 176.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
0	-	-	`#s(literal 8 binary64)`
0	-	-	`t`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))`
0	-	-	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
0	-	-	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`	o/n	1	0
↳	`(*.f64 y z)`	overflow	36

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 111 to 43 computations (61.3% saved)

Precisions

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

ival-add: 25.0ms (61% of total)

ival-div: 6.0ms (14.6% of total)

ival-mult: 6.0ms (14.6% of total)

ival-sub: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess38.0ms (0.7%)

Memory

1.7MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	166
1	129	159
2	192	158
3	415	158
4	800	158
5	1035	158
6	1152	158
7	1191	158
8	1195	158
0	13	11
0	20	11
1	30	11
2	38	11
3	66	11
4	125	11
5	209	11
6	218	11
0	218	9

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs

(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)

(fma.f64 (/.f64 y #s(literal -2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))

Symmetry

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Compiler

Compiled 13 to 13 computations (0% saved)

simplify6.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
cost-diff	1	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
cost-diff	1	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	20	39
1	30	39
2	38	39
3	66	39
4	125	39
5	209	39
6	218	39
0	218	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 x #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
t

localize48.0ms (0.9%)

Memory

-10.0MiB live, 32.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy	0.0	(*.f64 y z)
accuracy	0.01171875	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
accuracy	0.20685924198391212	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (33.4% of total)

ival-mult: 3.0ms (33.4% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

6 → 25

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)

Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/2 (* y z))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms	x	@	inf	((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms	x	@	-inf	((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms	z	@	-inf	((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms	y	@	0	((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))

simplify173.0ms (3.1%)

Memory

18.6MiB live, 131.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	246
1	228	246
2	648	245
3	2246	244
4	5808	244
0	8059	218

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/2 (* y z))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))

Outputs
(- t (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t) #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) y) #s(literal 1/8 binary64)))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
(* 1/2 (* y z))
(.f64 (.f64 #s(literal 1/2 binary64) y) z)
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) y)) y)
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(.f64 (fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) z)) y)
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) y)) y)
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(.f64 (fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) z)) y)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) z)) z)
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(.f64 (fma.f64 (/.f64 x z) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) y)) z)
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) z)) z)
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(.f64 (fma.f64 (/.f64 x z) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) y)) z)
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)) t) t t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))

rewrite356.0ms (6.4%)

Memory

-3.5MiB live, 153.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
0	20	32
1	60	32
2	397	32
3	5679	32
0	8198	29

Stop Event

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

Counts

6 → 147

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)

Outputs
#s(literal 1/8 binary64)
(.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))))) (-.f64 (.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)))
(.f64 (fma.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (fma.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (/.f64 (fma.f64 x #s(literal 1/8 binary64) (-.f64 (/.f64 (.f64 z y) #s(literal -2 binary64)) t)) (fma.f64 x #s(literal 1/8 binary64) (-.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)) t))))
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(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) x) x (.f64 (/.f64 z #s(literal 2 binary64)) (.f64 y (fma.f64 x #s(literal 1/8 binary64) (/.f64 (.f64 z y) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) x) x (.f64 (/.f64 z #s(literal 2 binary64)) (.f64 y (fma.f64 x #s(literal 1/8 binary64) (/.f64 (.f64 z y) #s(literal 2 binary64))))))))
(-.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 (neg.f64 (neg.f64 y)) (/.f64 z #s(literal 2 binary64))))
(-.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 z y) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 x #s(literal 1/8 binary64) (/.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 z y) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 z y) #s(literal -2 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 (/.f64 y #s(literal 2 binary64)) z)
(*.f64 (neg.f64 y) (/.f64 z #s(literal -2 binary64)))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 z #s(literal 2 binary64)) y)
(*.f64 z (/.f64 y #s(literal 2 binary64)))
(*.f64 y (/.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 y) z))

eval48.0ms (0.9%)

Memory: -18.0MiB live, 39.9MiB allocated
Compiler: Compiled 6 328 to 619 computations (90.2% saved)

prune5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	5	165

Accuracy

100.0%

Counts

165 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
▶	76.2%	(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
▶	61.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	99.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
▶	75.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))

Compiler

Compiled 180 to 158 computations (12.2% saved)

simplify23.0ms (0.4%)

Memory

-23.3MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) y) z)
cost-diff	0	#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
cost-diff	0	(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	(/.f64 y #s(literal -2 binary64))
cost-diff	0	(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
cost-diff	1	(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	171
0	44	171
1	79	168
2	145	166
3	276	166
4	441	166
5	471	166
0	471	162

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
z
(/.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
t
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t

Outputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))
z
(/.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
t
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(.f64 (.f64 #s(literal -1/2 binary64) z) y)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
#s(literal -1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t

localize70.0ms (1.3%)

Memory

-2.6MiB live, 156.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	0.0	(*.f64 z y)
accuracy	0.0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
accuracy	0.21076549198391212	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy	0.0	(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
accuracy	0.0	(.f64 (.f64 #s(literal -1/2 binary64) y) z)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	25.870155053832786	#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
accuracy	0.0	(*.f64 z y)
accuracy	0.20295299198391212	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
accuracy	15.261437672030738	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	24.506066257437748	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy	0.0	(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
accuracy	0.0	(/.f64 y #s(literal -2 binary64))
accuracy	0.0	(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
accuracy	0.0	(*.f64 x #s(literal 1/8 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 156 to 31 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 16.0ms (55.7% of total)

ival-add: 6.0ms (20.9% of total)

ival-div: 5.0ms (17.4% of total)

ival-sub: 1.0ms (3.5% of total)

exact: 1.0ms (3.5% of total)

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

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

series12.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

15 → 48

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(/.f64 y #s(literal -2 binary64))
(*.f64 x #s(literal 1/8 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(*.f64 z y)
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))

Outputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(- (* 1/8 x) (* 1/2 (* y z)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1/2 y)
(* y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	((+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
1.0ms	y	@	-inf	((+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
1.0ms	y	@	inf	((+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
1.0ms	z	@	-inf	((+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
1.0ms	x	@	-inf	((+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))

simplify225.0ms (4.1%)

Memory

-4.4MiB live, 153.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	439
1	466	439
2	1400	435
3	3962	435
0	8269	384

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(- (* 1/8 x) (* 1/2 (* y z)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1/2 y)
(* y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))

Outputs
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(- t (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y z)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (*.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y z)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 t) x) #s(literal 1/8 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y z)
(*.f64 y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(.f64 (neg.f64 t) (-.f64 (.f64 (/.f64 x t) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (.f64 (/.f64 (*.f64 y z) t) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

rewrite268.0ms (4.8%)

Memory

-5.6MiB live, 311.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
0	44	141
1	177	138
2	1307	138
0	8203	137

Stop Event

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

Counts

15 → 322

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(/.f64 y #s(literal -2 binary64))
(*.f64 x #s(literal 1/8 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(*.f64 z y)
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t)))) (.f64 (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) t) (-.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) t))) (fma.f64 (/.f64 y #s(literal -2 binary64)) z (-.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) t)))
(/.f64 (-.f64 (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t)) (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 (.f64 (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (+.f64 (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) (.f64 (neg.f64 x) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (-.f64 (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (/.f64 y #s(literal -2 binary64)) z)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t)))
(/.f64 (-.f64 (pow.f64 (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (+.f64 t (.f64 (/.f64 y #s(literal -2 binary64)) z)) (.f64 (neg.f64 x) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (fma.f64 (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (/.f64 y #s(literal -2 binary64)) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (-.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) t) (-.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) t) (.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) (-.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) t)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) t)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (*.f64 #s(literal -1/2 binary64) y) z)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t)) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (.f64 t t)) (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) t))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/8 binary64) x t)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (*.f64 #s(literal -1/2 binary64) y) z))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t)))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/8 binary64) x t))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (*.f64 #s(literal -1/2 binary64) y) z)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x t))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) t)) (/.f64 (.f64 t t) (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) t)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) z)) y))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) y)) z))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 (neg.f64 z) y) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 #s(literal 1/2 binary64) (.f64 y z)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (neg.f64 z) (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) t)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) t)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/8 binary64) x t)))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/8 binary64) x t)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/8 binary64) x t)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/8 binary64) x t)))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))) (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x t)) (fma.f64 #s(literal 1/8 binary64) x t)) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))))
(+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) t)
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 (fma.f64 (.f64 y z) #s(literal -1/2 binary64) t) (.f64 #s(literal 1/8 binary64) x))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (.f64 y z) #s(literal -1/2 binary64) t))
(+.f64 t (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)))

eval167.0ms (3%)

Memory: 4.9MiB live, 80.3MiB allocated
Compiler: Compiled 17 927 to 1 397 computations (92.2% saved)

prune42.0ms (0.8%)

Memory

-21.2MiB live, 24.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	379	2	381
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	383	3	386

Accuracy

100.0%

Counts

386 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))

▶

76.2%

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

✓

61.7%

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Compiler

Compiled 61 to 52 computations (14.8% saved)

simplify10.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	26	74
1	45	72
2	84	72
3	184	72
4	355	72
5	464	72
6	466	72
0	466	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 x #s(literal 1/8 binary64) t)
#s(literal 1/8 binary64)
x
t

localize55.0ms (1%)

Memory

-2.9MiB live, 71.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
accuracy	0.0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	15.261437672030738	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

Samples

45.0ms

256×

valid

Compiler

Compiled 67 to 23 computations (65.7% saved)

Precisions

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

ival-mult: 22.0ms (69.5% of total)

ival-add: 4.0ms (12.6% of total)

ival-div: 3.0ms (9.5% of total)

ival-sub: 1.0ms (3.2% of total)

exact: 1.0ms (3.2% of total)

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

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

series6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

6 → 37

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)

Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* 1/8 x) t)) (+ (* 1/8 x) t))
1.0ms	z	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* 1/8 x) t)) (+ (* 1/8 x) t))
0.0ms	t	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* 1/8 x) t)) (+ (* 1/8 x) t))
0.0ms	z	@	0	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* 1/8 x) t)) (+ (* 1/8 x) t))
0.0ms	y	@	0	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* 1/8 x) t)) (+ (* 1/8 x) t))

simplify122.0ms (2.2%)

Memory

-11.3MiB live, 141.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	343
1	388	343
2	1152	339
3	3394	339
4	7556	339
0	8438	297

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))

Outputs
(- t (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
t
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z y)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z y)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 t) x) #s(literal 1/8 binary64)))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal 1/2 binary64) (*.f64 z y))) t) #s(literal 1 binary64)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (.f64 (/.f64 (*.f64 z y) t) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal 1/2 binary64) (*.f64 z y))) t) #s(literal 1 binary64)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(.f64 (neg.f64 t) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64)))

rewrite487.0ms (8.8%)

Memory

-26.5MiB live, 283.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	61
0	26	61
1	103	59
2	815	59
0	8206	59

Stop Event

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

Counts

6 → 125

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t))) (.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y)))))) (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))))) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (fma.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))))
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64))) (fma.f64 t t (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (.f64 #s(literal 1/2 binary64) (.f64 z y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) (-.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y)))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y)))))))))
(/.f64 (neg.f64 (fma.f64 t t (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (neg.f64 (-.f64 t (.f64 (.f64 #s(literal -1/2 binary64) z) y))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (neg.f64 t)))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 x t))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (neg.f64 t))) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 x t)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
(-.f64 (/.f64 (.f64 t t) (-.f64 t (.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (.f64 x #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)))
(-.f64 t (*.f64 #s(literal -1/8 binary64) x))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 t t (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x t))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 x t))))))
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x t))))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 t t (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 x t))))))
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (-.f64 t (.f64 x #s(literal 1/8 binary64)))))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (-.f64 t (.f64 x #s(literal 1/8 binary64)))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/64 binary64) (.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (.f64 (neg.f64 t) t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)))
(+.f64 t (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64)))
(+.f64 t (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t)

eval54.0ms (1%)

Memory: -3.5MiB live, 35.1MiB allocated
Compiler: Compiled 6 932 to 627 computations (91% saved)

prune5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	143	3	146
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	143	6	149

Accuracy

100.0%

Counts

149 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
✓	76.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	61.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
▶	25.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
▶	39.5%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 119 to 104 computations (12.6% saved)

simplify10.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 z y))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	87
0	26	87
1	44	87
2	74	87
3	134	87
4	231	87
5	321	87
6	332	87
0	332	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64)))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x

localize60.0ms (1.1%)

Memory

-27.1MiB live, 56.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	0.21467174198391212	(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
accuracy	23.57990912592841	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	47.575376943689555	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy	0.0	(*.f64 z y)
accuracy	0.20685924198391212	(.f64 #s(literal -1/2 binary64) (.f64 z y))
accuracy	38.54026013001628	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Samples

30.0ms

256×

valid

Compiler

Compiled 77 to 21 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 11.0ms (60.5% of total)

ival-div: 3.0ms (16.5% of total)

ival-add: 2.0ms (11% of total)

ival-sub: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

7 → 24

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))

Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms	y	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms	x	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms	x	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms	z	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))

simplify195.0ms (3.5%)

Memory

1.6MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	222
1	257	222
2	795	221
3	2414	220
4	5656	220
0	8192	193

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))

Outputs
(- t (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t) #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 #s(literal 1/8 binary64) x)) t) t t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))

rewrite265.0ms (4.8%)

Memory

-15.9MiB live, 304.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	71
0	26	71
1	85	71
2	574	71
3	7839	71
0	8032	65

Stop Event

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

Counts

7 → 113

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(.f64 (.f64 #s(literal -1/2 binary64) z) y)
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(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y)))) (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/8 binary64) x (.f64 (.f64 z y) #s(literal -1/2 binary64))))) (.f64 (.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal -1/8 binary64) x (.f64 (.f64 z y) #s(literal -1/2 binary64))))))
(-.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(-.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) x))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(+.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/8 binary64) x (.f64 (.f64 z y) #s(literal -1/2 binary64))))) (/.f64 (neg.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 (*.f64 z y) #s(literal -1/2 binary64)))))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) y))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))

eval17.0ms (0.3%)

Memory: 22.8MiB live, 62.0MiB allocated
Compiler: Compiled 5 762 to 490 computations (91.5% saved)

prune9.0ms (0.2%)

Memory

-8.4MiB live, 30.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	138	6	144

Accuracy

100.0%

Counts

144 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
	63.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 x #s(literal 1/8 binary64))))
✓	76.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	61.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
	39.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
✓	25.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Compiler

Compiled 364 to 159 computations (56.3% saved)

regimes40.0ms (0.7%)

Memory

11.4MiB live, 94.8MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 x #s(literal 1/8 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))

Calls

9 calls:

6.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
5.0ms	z
4.0ms	t
4.0ms	x
4.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
100.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
100.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
100.0%	1	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes33.0ms (0.6%)

Memory

-7.1MiB live, 71.2MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 x #s(literal 1/8 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))

Calls

9 calls:

4.0ms	z
4.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms	t
3.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`t`
99.7%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
99.7%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
99.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
99.7%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
99.7%	1	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes31.0ms (0.6%)

Memory

-18.2MiB live, 61.4MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 x #s(literal 1/8 binary64))))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

Calls

9 calls:

5.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
3.0ms	t
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	x

Results

Accuracy	Segments	Branch
90.3%	3	`x`
87.9%	4	`y`
84.2%	3	`z`
87.1%	3	`t`
80.2%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
87.7%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
90.3%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
91.4%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
91.4%	3	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))

Calls

2 calls:

2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
91.1%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
91.1%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes13.0ms (0.2%)

Memory

-10.2MiB live, 29.2MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))

Calls

6 calls:

3.0ms	t
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	x
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
65.2%	3	`t`
75.4%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
65.8%	3	`x`
65.8%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
86.5%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
86.5%	3	`(*.f64 y z)`

Compiler

Compiled 26 to 40 computations (-53.8% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))

Calls

3 calls:

2.0ms	y
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
78.0%	3	`y`
86.2%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
86.2%	3	`(*.f64 y z)`

Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes14.0ms (0.3%)

Memory

-3.9MiB live, 35.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Calls

9 calls:

2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
61.7%	1	`t`
61.7%	1	`x`
61.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
61.7%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
61.7%	1	`y`
61.7%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
61.7%	1	`z`
61.7%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
61.7%	1	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes11.0ms (0.2%)

Memory

28.7MiB live, 28.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Calls

9 calls:

1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	y

Results

Accuracy	Segments	Branch
25.7%	1	`t`
25.7%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
25.7%	1	`(*.f64 y z)`
25.7%	1	`y`
25.7%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
25.7%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
25.7%	1	`z`
25.7%	1	`x`
25.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.064626896041115e+82	7.759088621162667e+86
0.0ms	-2.7045028627597643e+27	-9.68993376948144e+26

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch2.0ms (0%)

Memory

-39.9MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.064626896041115e+82	7.759088621162667e+86
0.0ms	-2.7045028627597643e+27	-9.68993376948144e+26

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.064626896041115e+82	7.759088621162667e+86
0.0ms	-5.327482081768388e+82	-3.118810675707806e+76

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.064626896041115e+82	7.759088621162667e+86
0.0ms	-5.327482081768388e+82	-3.118810675707806e+76

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify14.0ms (0.3%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	275
1	63	275
2	71	275
3	98	275
4	154	275
5	236	275
6	253	275

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 y z) #s(literal -2000000000000000026575110144 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (<=.f64 (.f64 y z) #s(literal -2000000000000000026575110144 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 y z) #s(literal -2000000000000000026575110144 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (or (<=.f64 (.f64 y z) #s(literal -2000000000000000026575110144 binary64)) (not (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 y z) #s(literal -2000000000000000026575110144 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
(if (or (<=.f64 (.f64 y z) #s(literal -2000000000000000026575110144 binary64)) (not (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (or (<=.f64 (.f64 y z) #s(literal -50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) (not (<=.f64 (.f64 y z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness1.2s (21.8%)

Memory

-7.7MiB live, 578.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
0	44	141
1	177	138
2	1307	138
0	8203	137
0	125	343
1	388	343
2	1152	339
3	3394	339
4	7556	339
0	8438	297
0	22	71
0	26	71
1	85	71
2	574	71
3	7839	71
0	8032	65
0	87	246
1	228	246
2	648	245
3	2246	244
4	5808	244
0	8059	218

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×	node limit
1×	iter limit

Compiler

Compiled 535 to 286 computations (46.5% saved)

preprocess60.0ms (1.1%)

Memory: 27.1MiB live, 108.7MiB allocated
Remove: (sort y z)
Compiler: Compiled 696 to 182 computations (73.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (20%)

explain211.0ms (3.8%)

preprocess38.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize48.0ms (0.9%)

series9.0ms (0.2%)

simplify173.0ms (3.1%)

rewrite356.0ms (6.4%)

eval48.0ms (0.9%)

prune5.0ms (0.1%)

simplify23.0ms (0.4%)

localize70.0ms (1.3%)

series12.0ms (0.2%)

simplify225.0ms (4.1%)

rewrite268.0ms (4.8%)

eval167.0ms (3%)

prune42.0ms (0.8%)

simplify10.0ms (0.2%)

localize55.0ms (1%)

series6.0ms (0.1%)

simplify122.0ms (2.2%)

rewrite487.0ms (8.8%)

eval54.0ms (1%)

prune5.0ms (0.1%)

simplify10.0ms (0.2%)

localize60.0ms (1.1%)

series7.0ms (0.1%)

simplify195.0ms (3.5%)

rewrite265.0ms (4.8%)

eval17.0ms (0.3%)

prune9.0ms (0.2%)

regimes40.0ms (0.7%)

regimes33.0ms (0.6%)

regimes31.0ms (0.6%)

regimes5.0ms (0.1%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes14.0ms (0.3%)

regimes11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify14.0ms (0.3%)

soundness1.2s (21.8%)

preprocess60.0ms (1.1%)

end0.0ms (0%)

Profiling