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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

sample1.7s (36.2%)

Memory

28.2MiB live, 1 552.2MiB allocated; 342ms collecting garbage

Samples

1.1s	8 255×	0	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-div: 138.0ms (32.1% of total)

ival-mult: 138.0ms (32.1% of total)

ival-sub: 72.0ms (16.7% of total)

ival-add: 57.0ms (13.2% of total)

exact: 13.0ms (3% of total)

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

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain161.0ms (3.4%)

Memory

14.2MiB live, 161.8MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

46.0ms

512×

valid

Compiler

Compiled 111 to 43 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 13.0ms (49.9% of total)

ival-mult: 7.0ms (26.9% of total)

ival-sub: 2.0ms (7.7% of total)

ival-add: 2.0ms (7.7% of total)

exact: 1.0ms (3.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess47.0ms (1%)

Memory

-27.6MiB live, 66.1MiB allocated; 18ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.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)

simplify7.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

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

localize55.0ms (1.2%)

Memory

-4.1MiB live, 40.4MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
accuracy	0.0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy	0.0	(*.f64 y z)
accuracy	0.00390625	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Samples

19.0ms

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 (31.7% of total)

ival-mult: 3.0ms (31.7% of total)

ival-sub: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

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	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	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	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))

simplify160.0ms (3.4%)

Memory

-22.5MiB live, 180.2MiB allocated; 33ms collecting garbage

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)))

rewrite314.0ms (6.6%)

Memory

10.5MiB live, 240.8MiB allocated; 43ms collecting garbage

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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(fma.f64 #s(literal 1/8 binary64) x (/.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 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (.f64 z y) #s(literal 2 binary64))))))
(-.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))

eval47.0ms (1%)

Memory: 1.7MiB live, 47.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 328 to 619 computations (90.2% saved)

prune3.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	3	165

Accuracy

100.0%

Counts

165 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	100.0%	#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)))
▶	66.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))

Status

Accuracy

Program

▶

66.4%

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

▶

100.0%

#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)))

▶

66.2%

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

Compiler

Compiled 61 to 52 computations (14.8% saved)

simplify10.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
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	(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 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	97
0	27	97
1	45	94
2	86	94
3	183	94
4	345	94
5	451	94
6	458	94
0	458	91

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 #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
#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
#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

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

localize52.0ms (1.1%)

Memory

-39.7MiB live, 104.6MiB allocated; 20ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	21.497327376534546	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (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	0.0	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
accuracy	0.0	(*.f64 z y)
accuracy	21.629691580187746	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))

Samples

39.0ms

256×

valid

Compiler

Compiled 88 to 23 computations (73.9% saved)

Precisions

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

ival-mult: 9.0ms (33.9% of total)

ival-div: 8.0ms (30.2% of total)

ival-add: 7.0ms (26.4% of total)

ival-sub: 1.0ms (3.8% of total)

exact: 1.0ms (3.8% of total)

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

adjust: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

7 → 37

Calls

Call 1

Inputs
#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)
#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))
(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))

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

simplify159.0ms (3.4%)

Memory

-34.8MiB live, 160.3MiB allocated; 16ms collecting garbage

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)))
(* y z)
(* -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))))
(* 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)))
(* y z)
(*.f64 z y)
(* -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))
(* 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)))

rewrite371.0ms (7.9%)

Memory

20.7MiB live, 303.9MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	77
0	27	77
1	104	74
2	817	74
0	8184	74

Stop Event

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

Counts

7 → 124

Calls

Call 1

Inputs
#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)
#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))
(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))

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

eval29.0ms (0.6%)

Memory: 25.5MiB live, 69.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 8 352 to 657 computations (92.1% saved)

prune13.0ms (0.3%)

Memory

-15.8MiB live, 25.2MiB allocated; 11ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	176	5	181

Accuracy

100.0%

Counts

181 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	68.1%	#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)))
✓	66.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
▶	35.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
▶	35.1%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify12.0ms (0.2%)

Memory

-4.8MiB live, 40.9MiB allocated; 3ms collecting garbage

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

localize113.0ms (2.4%)

Memory

-5.9MiB live, 144.0MiB allocated; 23ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x))
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	20.440629908131477	#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	41.392650951881976	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy	0.0	(*.f64 z y)
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (.f64 z y))
accuracy	41.527495793759236	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Samples

74.0ms

256×

valid

Compiler

Compiled 77 to 21 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (51.4% of total)

ival-div: 5.0ms (21.4% of total)

ival-add: 3.0ms (12.8% of total)

ival-sub: 2.0ms (8.6% of total)

exact: 1.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

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	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	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	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)))

simplify275.0ms (5.8%)

Memory

-21.6MiB live, 166.2MiB allocated; 19ms collecting garbage

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)))

rewrite328.0ms (6.9%)

Memory

6.1MiB live, 310.2MiB allocated; 140ms collecting garbage

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)
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(.f64 z (.f64 #s(literal -1/2 binary64) y))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(*.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))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.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))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 x x))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (.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 (fma.f64 #s(literal 1/64 binary64) x (.f64 (.f64 z y) #s(literal -1/16 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 z y) #s(literal -1/16 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) x) (fma.f64 x #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 z y) #s(literal -1/16 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 z y) #s(literal -1/16 binary64)))) (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 z y) #s(literal -1/16 binary64)))) (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 x x)))) (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
(.f64 (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 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 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 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 (.f64 z y) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 (*.f64 z y) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.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 (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 (.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 #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))))))) (fma.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 (.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 (.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 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 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 (.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 (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))))) #s(literal 3 binary64)) (pow.f64 (.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))))) #s(literal 3 binary64))) (fma.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 (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))))) (fma.f64 (.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 #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 (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)))))))))
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(fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (/.f64 (pow.f64 y #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)))))))
(fma.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 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)))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/512 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)))))))
(fma.f64 #s(literal 1/512 binary64) (/.f64 (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 (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)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 (.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) y) (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)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 z y) #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)))))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 1/8 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)))))))
(fma.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 z y) #s(literal -1/2 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)))))))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 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)))))))
(fma.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 z y) #s(literal -1/2 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)))))
(fma.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 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)))))))
(fma.f64 (.f64 z y) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z y)) (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)))))
(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(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 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 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)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 z (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(fma.f64 z (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (.f64 #s(literal -1/2 binary64) z) (.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 y (.f64 #s(literal -1/2 binary64) z) (.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(fma.f64 y (.f64 #s(literal -1/2 binary64) z) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) z)) y))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) z)) y))
(fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(-.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)))

eval19.0ms (0.4%)

Memory: -0.8MiB live, 44.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 762 to 490 computations (91.5% saved)

prune10.0ms (0.2%)

Memory

-23.5MiB live, 22.7MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	138	5	143

Accuracy

100.0%

Counts

143 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
✓	68.1%	#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)))
✓	66.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
✓	35.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
✓	35.1%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 228 to 122 computations (46.5% saved)

regimes159.0ms (3.4%)

Memory

2.9MiB live, 48.4MiB allocated; 5ms collecting garbage

Counts

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

Calls

9 calls:

138.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
3.0ms	t
3.0ms	(*.f64 y z)
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	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

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

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes19.0ms (0.4%)

Memory

39.1MiB live, 39.1MiB allocated; 0ms collecting garbage

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

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) (*.f64 #s(literal 1/8 binary64) x)))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
90.8%	3	`(*.f64 y z)`
90.8%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
89.6%	5	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
85.0%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
83.1%	5	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
89.6%	5	`x`
86.0%	3	`y`
86.1%	4	`z`
89.5%	4	`t`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes39.0ms (0.8%)

Memory

-47.6MiB live, 8.3MiB allocated; 12ms collecting garbage

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) (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:

36.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
90.8%	3	`(*.f64 y z)`
90.8%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 10.9MiB allocated; 0ms collecting garbage

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	t
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
69.7%	3	`t`
86.7%	3	`(*.f64 y z)`
86.7%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`

Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes12.0ms (0.3%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

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:

1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	x
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	z

Results

Accuracy	Segments	Branch
66.4%	1	`t`
66.4%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
66.4%	1	`z`
66.4%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
66.4%	1	`y`
66.4%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
66.4%	1	`x`
66.4%	1	`(*.f64 y z)`
66.4%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes31.0ms (0.7%)

Memory

-26.8MiB live, 19.1MiB allocated; 4ms collecting garbage

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:

22.0ms	t
1.0ms	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	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

Accuracy	Segments	Branch
35.3%	1	`(*.f64 y z)`
35.3%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
35.3%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
35.3%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
35.3%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
35.3%	1	`x`
35.3%	1	`t`
35.3%	1	`y`
35.3%	1	`z`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2731804999754868e+101	3.8155999393084736e+117
0.0ms	-7.345180132344841e+97	-4.662568145723945e+97

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.616839375946245e+58	5.1271410573249734e+91
0.0ms	-7.345180132344841e+97	-4.662568145723945e+97

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2731804999754868e+101	3.8155999393084736e+117
0.0ms	-1.396569938024392e+183	-4.5726324719653155e+178

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify15.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	223
1	60	223
2	68	223
3	95	223
4	151	223
5	233	223
6	250	223

Stop Event

1×

saturated

Calls

Call 1

Inputs
#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 (.f64 y z) #s(literal 2 binary64)) #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 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) (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 99999999999999997168788049560464200849936328366177157906432 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 (.f64 y z) #s(literal 2 binary64)) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 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 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 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) (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 99999999999999997168788049560464200849936328366177157906432 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 (.f64 y z) #s(literal 2 binary64)) #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (not (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 99999999999999997168788049560464200849936328366177157906432 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 (.f64 y z) #s(literal 2 binary64)) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 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 (.f64 y z) #s(literal 2 binary64)) #s(literal -999999999999999946594872951565228338993526868219488856544571440313594706493755982886960025179093529324993666087115356131035228239552737388526279268078143523691759154905886843985723392 binary64)) (not (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 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))

derivations466.0ms (9.9%)

Memory

-16.6MiB live, 408.0MiB allocated; 108ms collecting garbage

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

Stop Event

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

Compiler

Compiled 243 to 47 computations (80.7% saved)

preprocess48.0ms (1%)

Memory: 1.6MiB live, 99.6MiB allocated; 14ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 580 to 180 computations (69% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (36.2%)

explain161.0ms (3.4%)

preprocess47.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize55.0ms (1.2%)

series9.0ms (0.2%)

simplify160.0ms (3.4%)

rewrite314.0ms (6.6%)

eval47.0ms (1%)

prune3.0ms (0.1%)

simplify10.0ms (0.2%)

localize52.0ms (1.1%)

series8.0ms (0.2%)

simplify159.0ms (3.4%)

rewrite371.0ms (7.9%)

eval29.0ms (0.6%)

prune13.0ms (0.3%)

simplify12.0ms (0.2%)

localize113.0ms (2.4%)

series12.0ms (0.2%)

simplify275.0ms (5.8%)

rewrite328.0ms (6.9%)

eval19.0ms (0.4%)

prune10.0ms (0.2%)

regimes159.0ms (3.4%)

regimes19.0ms (0.4%)

regimes39.0ms (0.8%)

regimes5.0ms (0.1%)

regimes12.0ms (0.3%)

regimes31.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify15.0ms (0.3%)

derivations466.0ms (9.9%)

preprocess48.0ms (1%)

end0.0ms (0%)

Profiling