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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.2s (22.4%)

Memory

17.2MiB live, 1 192.8MiB allocated

Samples

765.0ms	8 255×	0	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 491.0ms

ival-div: 224.0ms (45.6% of total)

ival-mult: 155.0ms (31.5% of total)

ival-add: 51.0ms (10.4% of total)

ival-sub: 40.0ms (8.1% of total)

exact: 12.0ms (2.4% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain275.0ms (5.1%)

Memory

15.2MiB live, 177.2MiB allocated

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

141.0ms

512×

valid

Compiler

Compiled 158 to 56 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 27.0ms (61.9% of total)

ival-mult: 7.0ms (16% of total)

ival-div: 6.0ms (13.8% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

preprocess159.0ms (3%)

Memory

-23.4MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	164
1	164	155
2	405	154
3	1042	154
4	2188	154
5	2948	154
6	3153	154
7	3176	154
8	3183	154
9	3183	154
10	3185	154
11	3191	154
0	13	11
0	20	11
1	31	11
2	57	11
3	108	11
4	189	11
5	315	11
6	486	11
7	666	11
8	798	11
9	800	11
0	800	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 #s(literal -1/2 binary64) (*.f64 z y) (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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

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)

simplify57.0ms (1.1%)

Memory

-1.4MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
cost-diff	128	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
cost-diff	384	(/.f64 (*.f64 y z) #s(literal 2 binary64))
cost-diff	704	(/.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	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	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 #s(literal -1/2 binary64) (*.f64 z y) (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 #s(literal -1/2 binary64) (.f64 z y) (.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 #s(literal 1/2 binary64) (.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
t

localize30.0ms (0.6%)

Memory

27.4MiB live, 64.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy	0	(*.f64 y z)
accuracy	0.00390625	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
accuracy	0.00390625	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Samples

22.0ms

256×

valid

Compiler

Compiled 96 to 28 computations (70.8% saved)

Precisions

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

ival-div: 3.0ms (32% of total)

ival-mult: 3.0ms (32% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.4%)

Memory

-9.0MiB live, 32.0MiB allocated

Counts

6 → 25

Calls

Call 1

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

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)))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 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
16.0ms	x	@	inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	y	@	-inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	x	@	-inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	z	@	-inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	y	@	0	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))

simplify121.0ms (2.3%)

Memory

-6.3MiB live, 156.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	211
1	241	211
2	633	211
3	1916	211
4	5135	211
0	8111	181

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

rewrite235.0ms (4.4%)

Memory

16.1MiB live, 245.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
0	20	32
1	65	32
2	503	32
3	6469	32
0	8004	29

Stop Event

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

Counts

6 → 280

Calls

Call 1

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

Outputs
#s(literal 1/8 binary64)
(.f64 (.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) z))
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 1/2 binary64) z))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) y) z)
(.f64 (neg.f64 y) (.f64 z #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 y) z))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(.f64 (neg.f64 z) (.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(.f64 (.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) z) y)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 z y))
(.f64 (.f64 (neg.f64 y) z) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 1 binary64))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(.f64 z (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 z (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 z y))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))))
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(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 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 x #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (neg.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 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 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 x (/.f64 (.f64 #s(literal 1/64 binary64) x) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (neg.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 x #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal -1 binary64) (*.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 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (neg.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (neg.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(-.f64 (.f64 (.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.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 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 (.f64 (.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) (neg.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.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 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(.f64 (.f64 #s(literal 1 binary64) z) y)
(.f64 (.f64 #s(literal 1 binary64) y) 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 #s(literal -1 binary64) (.f64 (neg.f64 y) z))
(.f64 (.f64 z y) #s(literal 1 binary64))
(.f64 z (.f64 y #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(.f64 y (.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(.f64 #s(literal 1 binary64) (.f64 z y))
(neg.f64 (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z))
(.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/8 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/8 binary64)))

eval38.0ms (0.7%)

Memory: -13.1MiB live, 71.9MiB allocated
Compiler: Compiled 8 495 to 881 computations (89.6% saved)

prune4.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	284	4	288
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	285	4	289

Accuracy

100.0%

Counts

289 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
▶	100.0%	(+.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) t)
▶	72.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
▶	63.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Compiler

Compiled 57 to 52 computations (8.8% saved)

simplify28.0ms (0.5%)

Memory

1.0MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) t)
cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64)))
cost-diff	128	(+.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) t)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	106
0	40	105
1	73	103
2	100	103
3	152	103
4	233	101
5	382	101
6	543	101
7	717	101
8	847	101
9	849	101
0	849	101

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

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

localize114.0ms (2.1%)

Memory

-20.6MiB live, 97.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 1/8 binary64) t)
accuracy	0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 x #s(literal 1/8 binary64))
accuracy	0.00390625	(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64)))
accuracy	0.00390625	(+.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) t)
accuracy	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	17.75033161400223	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
accuracy	0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	23.293042604583857	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Samples

94.0ms

256×

valid

Compiler

Compiled 217 to 58 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 48.0ms (62.9% of total)

ival-add: 23.0ms (30.2% of total)

ival-div: 3.0ms (3.9% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series11.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

12 → 45

Calls

Call 1

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

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

Calls

12 calls:

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

simplify177.0ms (3.3%)

Memory

-40.7MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	369
1	451	369
2	1235	369
3	3248	369
4	6174	369
0	8052	312

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

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

rewrite174.0ms (3.2%)

Memory

-26.9MiB live, 287.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	87
0	40	86
1	185	82
2	1303	82
0	8379	82

Stop Event

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

Counts

12 → 567

Calls

Call 1

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

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

eval39.0ms (0.7%)

Memory: 35.3MiB live, 111.2MiB allocated
Compiler: Compiled 11 505 to 1 064 computations (90.8% saved)

prune61.0ms (1.1%)

Memory

-20.8MiB live, 23.5MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	344	1	345
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	344	5	349

Accuracy

100.0%

Counts

349 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
✓	100.0%	(+.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) t)
▶	63.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 #s(literal 1/8 binary64) x)))
✓	72.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
✓	63.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Compiler

Compiled 79 to 71 computations (10.1% saved)

simplify25.0ms (0.5%)

Memory

-2.9MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
0	23	39
1	39	39
2	71	39
3	123	39
4	204	38
5	334	38
6	494	38
7	671	38
8	803	38
9	805	38
0	805	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize34.0ms (0.6%)

Memory

23.6MiB live, 62.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 #s(literal 1/8 binary64) x))
accuracy	0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	23.149091529719758	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 #s(literal 1/8 binary64) x)))

Samples

26.0ms

256×

valid

Compiler

Compiled 76 to 40 computations (47.4% saved)

Precisions

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

ival-mult: 7.0ms (43.9% of total)

ival-div: 3.0ms (18.8% of total)

ival-add: 3.0ms (18.8% of total)

ival-sub: 1.0ms (6.3% of total)

exact: 1.0ms (6.3% of total)

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

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

series7.0ms (0.1%)

Memory

-27.0MiB live, 11.7MiB allocated

Counts

4 → 24

Calls

Call 1

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

Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 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 (- (+ (* 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))))
(* -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
2.0ms	z	@	0	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z) (* 1/8 x))
1.0ms	x	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z) (* 1/8 x))
1.0ms	x	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z) (* 1/8 x))
1.0ms	z	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z) (* 1/8 x))
0.0ms	z	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z) (* 1/8 x))

simplify180.0ms (3.4%)

Memory

29.0MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	206
1	262	206
2	741	206
3	2064	206
4	5410	206
0	8194	176

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

rewrite218.0ms (4.1%)

Memory

-16.2MiB live, 216.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
0	23	34
1	83	33
2	670	33
0	8650	32

Stop Event

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

Counts

4 → 148

Calls

Call 1

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

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.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 #s(literal -1/8 binary64) (pow.f64 (.f64 z y) #s(literal 3 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 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/64 binary64) x) x (.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))
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eval23.0ms (0.4%)

Memory: 4.9MiB live, 39.8MiB allocated
Compiler: Compiled 7 097 to 599 computations (91.6% saved)

prune4.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	155	6	161

Accuracy

100.0%

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
✓	100.0%	(+.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) t)
✓	63.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 #s(literal 1/8 binary64) x)))
✓	72.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
✓	63.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	37.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))

Compiler

Compiled 108 to 95 computations (12% saved)

simplify30.0ms (0.6%)

Memory

-4.9MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
0	24	53
1	43	53
2	70	53
3	121	53
4	202	53
5	335	53
6	509	53
7	683	53
8	815	53
9	817	53
0	817	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.8%)

Memory

11.3MiB live, 61.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal -1/2 binary64) y) z)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	23.149091529719758	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))
accuracy	29.35820967671844	#s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))

Samples

37.0ms

256×

valid

Compiler

Compiled 90 to 47 computations (47.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (60.1% of total)

ival-div: 3.0ms (15% of total)

ival-add: 2.0ms (10% of total)

ival-sub: 1.0ms (5% of total)

exact: 1.0ms (5% of total)

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

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

series10.0ms (0.2%)

Memory

-22.5MiB live, 15.2MiB allocated

Counts

4 → 24

Calls

Call 1

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

Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 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)
(* 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
5.0ms	y	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* (* -1/2 y) z) (* -1/2 y))
1.0ms	y	@	0	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* (* -1/2 y) z) (* -1/2 y))
1.0ms	y	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* (* -1/2 y) z) (* -1/2 y))
1.0ms	z	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* (* -1/2 y) z) (* -1/2 y))
0.0ms	z	@	0	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* (* -1/2 y) z) (* -1/2 y))

simplify201.0ms (3.8%)

Memory

22.1MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	206
1	261	206
2	740	206
3	2064	206
4	5405	206
0	8207	176

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

rewrite312.0ms (5.8%)

Memory

-17.2MiB live, 174.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	50
0	24	50
1	87	50
2	689	50
0	8613	46

Stop Event

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

Counts

4 → 35

Calls

Call 1

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

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) z) y)))
#s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) z)
(.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) z))
(.f64 (neg.f64 z) (.f64 y #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 y))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y) z))
(.f64 (.f64 (neg.f64 y) z) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(.f64 (.f64 #s(literal -1/2 binary64) z) y)
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(.f64 z (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(.f64 z (neg.f64 (.f64 y #s(literal 1/2 binary64))))
(.f64 z (.f64 #s(literal -1/2 binary64) y))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y))))
(/.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y))))))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(/.f64 (*.f64 z y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))

eval5.0ms (0.1%)

Memory: 10.1MiB live, 10.1MiB allocated
Compiler: Compiled 1 277 to 171 computations (86.6% saved)

prune6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	42	7	49

Accuracy

100.0%

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
✓	100.0%	(+.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) t)
✓	63.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 #s(literal 1/8 binary64) x)))
✓	72.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
✓	63.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
	28.5%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
✓	37.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))

Compiler

Compiled 263 to 161 computations (38.8% saved)

regimes37.0ms (0.7%)

Memory

-9.8MiB live, 61.0MiB allocated

Counts

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

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

Calls

9 calls:

7.0ms	(*.f64 y z)
7.0ms	z
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	t
3.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Results

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

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes31.0ms (0.6%)

Memory

-19.4MiB live, 35.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

11.0ms	t
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
2.0ms	x

Results

Accuracy	Segments	Branch
88.9%	4	`x`
84.1%	3	`y`
85.6%	3	`z`
88.3%	3	`t`
76.9%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
84.4%	4	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
88.9%	4	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
90.4%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
90.4%	3	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes14.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
78.2%	5	`y`
78.9%	3	`z`
63.6%	1	`x`
63.6%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
69.6%	3	`t`
83.7%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
83.7%	3	`(*.f64 y z)`

Compiler

Compiled 17 to 36 computations (-111.8% saved)

regimes38.0ms (0.7%)

Memory

-8.3MiB live, 29.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

9 calls:

24.0ms	z
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	x

Results

Accuracy	Segments	Branch
63.6%	1	`x`
63.6%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
63.6%	1	`t`
63.6%	1	`y`
63.6%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
63.6%	1	`z`
63.6%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
63.6%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
63.6%	1	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes16.0ms (0.3%)

Memory

5.8MiB live, 44.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	(+.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 #s(literal 1 binary64) #s(literal 8 binary64)) 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 y z) #s(literal 2 binary64))
1.0ms	t

Results

Accuracy	Segments	Branch
28.5%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
28.5%	1	`(*.f64 y z)`
28.5%	1	`t`
28.5%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
28.5%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
28.5%	1	`y`
28.5%	1	`z`
28.5%	1	`x`
28.5%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.8667159302174014e+29	3.1322954230804874e+30
0.0ms	-1.787198945597726e+44	-7.228283859024087e+37

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7292839057519117e+130	2.2476100954038932e+132
0.0ms	-4.1240044167134815e+129	-2.822020640216161e+129

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify30.0ms (0.6%)

Memory

-17.4MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	186
1	52	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (.f64 y z) #s(literal -100000000000000008821361405306422640701865984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (.f64 y z) #s(literal 500000000000000009942312419328 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))))
(if (<=.f64 (.f64 y z) #s(literal -3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))) (if (<=.f64 (.f64 y z) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 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) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))))
#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
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (.f64 y z) #s(literal -100000000000000008821361405306422640701865984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (.f64 y z) #s(literal 500000000000000009942312419328 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))))
(if (<=.f64 (.f64 y z) #s(literal -100000000000000008821361405306422640701865984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 y #s(literal -1/2 binary64)) z t)) (if (<=.f64 (.f64 y z) #s(literal 500000000000000009942312419328 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t))))
(if (<=.f64 (.f64 y z) #s(literal -3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))) (if (<=.f64 (.f64 y z) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 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) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)))))
(if (<=.f64 (.f64 y z) #s(literal -3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 y #s(literal -1/2 binary64)) z))) (if (<=.f64 (.f64 y z) #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 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) #s(approx (+ (* (* -1/2 z) y) (* 1/8 x)) (.f64 (.f64 y #s(literal -1/2 binary64)) z)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness1.3s (23.4%)

Memory

11.9MiB live, 575.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	206
1	262	206
2	741	206
3	2064	206
4	5410	206
0	8194	176
0	142	369
1	451	369
2	1235	369
3	3248	369
4	6174	369
0	8052	312
0	87	206
1	261	206
2	740	206
3	2064	206
4	5405	206
0	8207	176
0	13	32
0	20	32
1	65	32
2	503	32
3	6469	32
0	8004	29
0	87	211
1	241	211
2	633	211
3	1916	211
4	5135	211
0	8111	181

Stop Event

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

Compiler

Compiled 260 to 129 computations (50.4% saved)

preprocess80.0ms (1.5%)

Memory: -12.7MiB live, 104.6MiB allocated
Remove: (sort y z)
Compiler: Compiled 488 to 178 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	27	106
0	40	105
1	73	103
2	100	103
3	152	103
4	233	101
5	382	101
6	543	101
7	717	101
8	847	101
9	849	101
0	849	101

Iter	Nodes	Cost
0	19	39
0	23	39
1	39	39
2	71	39
3	123	39
4	204	38
5	334	38
6	494	38
7	671	38
8	803	38
9	805	38
0	805	37

Iter	Nodes	Cost
0	22	53
0	24	53
1	43	53
2	70	53
3	121	53
4	202	53
5	335	53
6	509	53
7	683	53
8	815	53
9	817	53
0	817	49

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	27	106
0	40	105
1	73	103
2	100	103
3	152	103
4	233	101
5	382	101
6	543	101
7	717	101
8	847	101
9	849	101
0	849	101

Iter	Nodes	Cost
0	19	39
0	23	39
1	39	39
2	71	39
3	123	39
4	204	38
5	334	38
6	494	38
7	671	38
8	803	38
9	805	38
0	805	37

Iter	Nodes	Cost
0	22	53
0	24	53
1	43	53
2	70	53
3	121	53
4	202	53
5	335	53
6	509	53
7	683	53
8	815	53
9	817	53
0	817	49

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (22.4%)

explain275.0ms (5.1%)

preprocess159.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify57.0ms (1.1%)

localize30.0ms (0.6%)

series24.0ms (0.4%)

simplify121.0ms (2.3%)

rewrite235.0ms (4.4%)

eval38.0ms (0.7%)

prune4.0ms (0.1%)

simplify28.0ms (0.5%)

localize114.0ms (2.1%)

series11.0ms (0.2%)

simplify177.0ms (3.3%)

rewrite174.0ms (3.2%)

eval39.0ms (0.7%)

prune61.0ms (1.1%)

simplify25.0ms (0.5%)

localize34.0ms (0.6%)

series7.0ms (0.1%)

simplify180.0ms (3.4%)

rewrite218.0ms (4.1%)

eval23.0ms (0.4%)

prune4.0ms (0.1%)

simplify30.0ms (0.6%)

localize45.0ms (0.8%)

series10.0ms (0.2%)

simplify201.0ms (3.8%)

rewrite312.0ms (5.8%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

regimes37.0ms (0.7%)

regimes31.0ms (0.6%)

regimes14.0ms (0.3%)

regimes38.0ms (0.7%)

regimes16.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify30.0ms (0.6%)

soundness1.3s (23.4%)

preprocess80.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	27	106
0	40	105
1	73	103
2	100	103
3	152	103
4	233	101
5	382	101
6	543	101
7	717	101
8	847	101
9	849	101
0	849	101

Iter	Nodes	Cost
0	19	39
0	23	39
1	39	39
2	71	39
3	123	39
4	204	38
5	334	38
6	494	38
7	671	38
8	803	38
9	805	38
0	805	37

Iter	Nodes	Cost
0	22	53
0	24	53
1	43	53
2	70	53
3	121	53
4	202	53
5	335	53
6	509	53
7	683	53
8	815	53
9	817	53
0	817	49