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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.3s (20.6%)

Memory

32.6MiB live, 1 928.5MiB allocated; 341ms collecting garbage

Samples

803.0ms	8 254×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 501.0ms

ival-div: 236.0ms (47.1% of total)

ival-mult: 162.0ms (32.3% of total)

ival-sub: 40.0ms (8% of total)

ival-add: 40.0ms (8% of total)

exact: 11.0ms (2.2% of total)

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

adjust: 3.0ms (0.6% of total)

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

Bogosity

explain190.0ms (3.1%)

Memory

11.6MiB live, 242.0MiB allocated; 49ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`	o/n	1	0
↳	`(*.f64 y z)`	overflow	35

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms

512×

valid

Compiler

Compiled 111 to 43 computations (61.3% saved)

Precisions

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

ival-mult: 7.0ms (35.9% of total)

ival-div: 6.0ms (30.7% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

exact: 1.0ms (5.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess44.0ms (0.7%)

Memory

2.7MiB live, 45.0MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

-40.4MiB live, 65.9MiB allocated; 24ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y z)
accuracy	0.01171875	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
accuracy	0.01171875	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
accuracy	0.2036728063674848	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Samples

32.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (27.8% of total)

ival-sub: 3.0ms (27.8% of total)

ival-mult: 3.0ms (27.8% of total)

ival-add: 1.0ms (9.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Counts

6 → 25

Calls

Call 1

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

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

Calls

12 calls:

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

simplify195.0ms (3.2%)

Memory

-13.3MiB live, 175.0MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite251.0ms (4.1%)

Memory

-4.8MiB live, 128.7MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 147

Calls

Call 1

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

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

eval302.0ms (5%)

Memory: -50.5MiB live, 95.0MiB allocated; 72ms collecting garbage
Compiler: Compiled 6 328 to 619 computations (90.2% saved)

prune6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	6	165

Accuracy

100.0%

Counts

165 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
	100.0%	(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
▶	70.6%	(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
▶	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	99.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
▶	70.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))

Compiler

Compiled 198 to 176 computations (11.1% saved)

simplify11.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	165
0	43	165
1	74	162
2	136	159
3	277	159
4	494	159
5	527	159
0	527	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (1.7%)

Memory

11.8MiB live, 105.1MiB allocated; 4ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	0.0	(*.f64 z y)
accuracy	0.0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
accuracy	0.2114853063674848	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy	0.0	(.f64 (.f64 #s(literal -1/2 binary64) y) z)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.01171875	(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z)) t)
accuracy	30.007138025663355	#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
accuracy	0.0	(*.f64 z y)
accuracy	0.2075790563674848	(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
accuracy	18.811358055401406	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	23.79303156059513	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy	0.0	(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
accuracy	0.0	(/.f64 y #s(literal -2 binary64))
accuracy	0.00390625	(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))

Samples

90.0ms

256×

valid

Compiler

Compiled 151 to 31 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 40.0ms (75.5% of total)

ival-add: 6.0ms (11.3% of total)

ival-div: 4.0ms (7.6% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

adjust: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-25.3MiB live, 22.2MiB allocated; 8ms collecting garbage

Counts

14 → 44

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((+ (* x 1/8) (+ (* z (/ y -2)) t)) (+ (* z (/ y -2)) t) (/ y -2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
2.0ms	z	@	inf	((+ (* x 1/8) (+ (* z (/ y -2)) t)) (+ (* z (/ y -2)) t) (/ y -2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
1.0ms	y	@	0	((+ (* x 1/8) (+ (* z (/ y -2)) t)) (+ (* z (/ y -2)) t) (/ y -2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
1.0ms	y	@	-inf	((+ (* x 1/8) (+ (* z (/ y -2)) t)) (+ (* z (/ y -2)) t) (/ y -2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))
1.0ms	y	@	inf	((+ (* x 1/8) (+ (* z (/ y -2)) t)) (+ (* z (/ y -2)) t) (/ y -2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (* -1/2 y) z) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)))

simplify150.0ms (2.5%)

Memory

42.6MiB live, 125.5MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	403
1	434	403
2	1268	399
3	3733	399
4	7798	399
0	8956	352

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite268.0ms (4.4%)

Memory

-16.4MiB live, 218.1MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	135
0	43	135
1	172	132
2	1283	132
0	8255	132

Stop Event

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

Counts

14 → 297

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t)))) (.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (+.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) (.f64 (neg.f64 x) #s(literal 1/8 binary64)))) (+.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 (neg.f64 x) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x)))))) (.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) (fma.f64 #s(literal 1/8 binary64) x t)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (/.f64 y #s(literal -2 binary64)) z)))
(/.f64 (-.f64 (.f64 t t) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) (.f64 (neg.f64 x) #s(literal 1/8 binary64)) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (.f64 #s(literal 1/8 binary64) x)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 y #s(literal -2 binary64)) z) (fma.f64 #s(literal 1/8 binary64) x t)))))
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eval106.0ms (1.7%)

Memory: -22.2MiB live, 80.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 16 906 to 1 298 computations (92.3% saved)

prune8.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	352	3	355
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	357	4	361

Accuracy

100.0%

Counts

361 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
▶	70.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	30.7%	#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (*.f64 #s(literal 1/8 binary64) x))

Compiler

Compiled 76 to 66 computations (13.2% saved)

simplify10.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	94
0	35	94
1	62	91
2	118	91
3	262	91
4	479	91
5	537	91
0	537	88

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.5%)

Memory

-0.9MiB live, 45.5MiB allocated; 2ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x t)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
accuracy	0.0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	18.811358055401406	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	44.33738172095204	#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (*.f64 #s(literal 1/8 binary64) x))

Samples

77.0ms

256×

valid

Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 46.0ms (73.4% of total)

ival-mult: 10.0ms (15.9% of total)

ival-div: 4.0ms (6.4% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

adjust: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-32.5MiB live, 13.3MiB allocated; 4ms collecting garbage

Counts

8 → 37

Calls

Call 1

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

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

Calls

12 calls:

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

simplify141.0ms (2.3%)

Memory

30.0MiB live, 122.8MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	343
1	388	343
2	1154	339
3	3400	339
4	7563	339
0	8445	297

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

rewrite215.0ms (3.5%)

Memory

-13.3MiB live, 320.3MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	79
0	35	79
1	150	76
2	1150	76
0	8487	75

Stop Event

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

Counts

8 → 150

Calls

Call 1

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

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

eval22.0ms (0.4%)

Memory: 12.3MiB live, 57.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 748 to 715 computations (90.8% saved)

prune6.0ms (0.1%)

Memory

-21.4MiB live, 25.6MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
✓	70.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	66.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x)))
✓	30.7%	#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (*.f64 #s(literal 1/8 binary64) x))
▶	38.3%	#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z)))

Compiler

Compiled 115 to 100 computations (13% saved)

simplify10.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	67
0	31	67
1	58	67
2	106	67
3	207	67
4	340	67
5	386	67
6	389	67
0	389	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.8%)

Memory

-22.1MiB live, 76.0MiB allocated; 11ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y z)
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) x)
accuracy	0.2114853063674848	(fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x))
accuracy	21.158313659714313	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x)))
accuracy	0.0	(*.f64 y z)
accuracy	0.2036728063674848	(.f64 #s(literal -1/2 binary64) (.f64 y z))
accuracy	39.27483524640191	#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z)))

Samples

31.0ms

256×

valid

Compiler

Compiled 57 to 26 computations (54.4% saved)

Precisions

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

ival-mult: 9.0ms (46.3% of total)

ival-div: 4.0ms (20.6% of total)

ival-add: 4.0ms (20.6% of total)

ival-sub: 1.0ms (5.1% of total)

exact: 1.0ms (5.1% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

6 → 33

Calls

Call 1

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

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

Calls

12 calls:

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

simplify255.0ms (4.2%)

Memory

24.4MiB live, 162.9MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	324
1	354	324
2	1081	320
3	3303	320
4	7327	320
0	8372	280

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

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

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

rewrite280.0ms (4.6%)

Memory

-19.9MiB live, 316.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	56
0	31	56
1	127	56
2	907	56
0	8708	52

Stop Event

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

Counts

6 → 81

Calls

Call 1

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

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(.f64 (.f64 z #s(literal -1/2 binary64)) y)
(.f64 (.f64 #s(literal -1/2 binary64) z) y)
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(.f64 (.f64 y z) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(.f64 z (.f64 #s(literal -1/2 binary64) y))
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(*.f64 z y)
(neg.f64 (*.f64 (neg.f64 z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 y z) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x)))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 y z)))))) (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 y z))))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 y z)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 y z)))))))) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 y z)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal 1/2 binary64) (*.f64 y z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal -1/8 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/64 binary64) x) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))))
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eval12.0ms (0.2%)

Memory: 30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 662 to 357 computations (90.3% saved)

prune11.0ms (0.2%)

Memory

-22.6MiB live, 20.9MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	104	6	110

Accuracy

100.0%

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal 1/8 binary64) x)))
✓	100.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
✓	70.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
	38.6%	#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 (.f64 z #s(literal -1/2 binary64)) y))
✓	30.7%	#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (*.f64 #s(literal 1/8 binary64) x))

Compiler

Compiled 363 to 165 computations (54.5% saved)

regimes168.0ms (2.8%)

Memory

10.1MiB live, 73.2MiB allocated; 5ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

9 calls:

134.0ms	x
4.0ms	t
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
4.0ms	y

Results

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

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes33.0ms (0.5%)

Memory

-16.4MiB live, 76.5MiB allocated; 5ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	t
4.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	x
3.0ms	z

Results

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

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes34.0ms (0.6%)

Memory

0.3MiB live, 47.7MiB allocated; 1ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

9.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	t
3.0ms	x
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Results

Accuracy	Segments	Branch
89.5%	3	`(*.f64 y z)`
89.5%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
90.2%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
87.4%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
82.2%	5	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
90.2%	3	`x`
82.0%	3	`y`
84.6%	3	`z`
89.4%	3	`t`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	x

Results

Accuracy	Segments	Branch
90.2%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
90.2%	3	`x`

Compiler

Compiled 6 to 12 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

-28.6MiB live, 22.0MiB allocated; 3ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.5%	3	`(*.f64 y z)`
89.5%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
87.6%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
87.6%	3	`x`

Compiler

Compiled 14 to 24 computations (-71.4% saved)

regimes7.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.3%	1	`t`
89.2%	3	`(*.f64 y z)`
89.2%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`

Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes10.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
76.5%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
69.1%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
69.1%	3	`x`
85.3%	3	`(*.f64 y z)`
85.3%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`

Compiler

Compiled 25 to 36 computations (-44% saved)

regimes5.0ms (0.1%)

Memory

-36.5MiB live, 9.9MiB allocated; 2ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
85.0%	3	`(*.f64 y z)`
85.0%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes13.0ms (0.2%)

Memory

36.5MiB live, 36.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
62.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
62.8%	1	`x`
62.8%	1	`t`
62.8%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
62.8%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
62.8%	1	`y`
62.8%	1	`z`
62.8%	1	`(*.f64 y z)`
62.8%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes12.0ms (0.2%)

Memory

-16.4MiB live, 29.9MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

3.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
30.7%	1	`(*.f64 y z)`
30.7%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
30.7%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
30.7%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
30.7%	1	`z`
30.7%	1	`t`
30.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
30.7%	1	`x`
30.7%	1	`y`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch39.0ms (0.6%)

Memory

11.8MiB live, 59.0MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.0766398477026205e+116	1.8425689158136727e+118
23.0ms	-1.8223001413037368e+32	-9.12789390422254e+25

Samples

25.0ms

256×

valid

Compiler

Compiled 688 to 628 computations (8.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (64.1% of total)

ival-div: 3.0ms (17.5% of total)

ival-sub: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.0766398477026205e+116	1.8425689158136727e+118
1.0ms	-1.8223001413037368e+32	-9.12789390422254e+25

Compiler

Compiled 688 to 628 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2624430126122096e-31	1.5177845655030126e-27
0.0ms	-5.104801627264183e+96	-1.7652046517463053e+85

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2624430126122096e-31	1.5177845655030126e-27
0.0ms	-5.104801627264183e+96	-1.7652046517463053e+85

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.7550585517479372e+110	3.9922508299591106e+112
0.0ms	-8.665882720323769e+110	-5.36631202648297e+108

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.7550585517479372e+110	3.9922508299591106e+112
0.0ms	-8.665882720323769e+110	-5.36631202648297e+108

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify76.0ms (1.3%)

Memory

-0.8MiB live, 94.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	421
1	97	421
2	127	421
3	192	421
4	313	421
5	404	421
6	417	421

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 x #s(literal -1549999999999999876009931309056 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 x #s(literal 950000000000000041028454020389643965524818052486464745939315222127841329215765195021172110811806153974554091101093888 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 x #s(literal -1549999999999999876009931309056 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 x #s(literal 950000000000000041028454020389643965524818052486464745939315222127841329215765195021172110811806153974554091101093888 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ ( x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 (.f64 z #s(literal -1/2 binary64)) y))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ ( x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (*.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 x #s(literal -1549999999999999876009931309056 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 x #s(literal 950000000000000041028454020389643965524818052486464745939315222127841329215765195021172110811806153974554091101093888 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 x #s(literal -1549999999999999876009931309056 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 x #s(literal 950000000000000041028454020389643965524818052486464745939315222127841329215765195021172110811806153974554091101093888 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x)))))
(if (or (<=.f64 x #s(literal -1549999999999999876009931309056 binary64)) (not (<=.f64 x #s(literal 950000000000000041028454020389643965524818052486464745939315222127841329215765195021172110811806153974554091101093888 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
(if (or (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544 binary64)) (not (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) t)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ ( x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 (.f64 z #s(literal -1/2 binary64)) y))))
(if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ ( x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 y z)))))
(if (or (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) (not (<=.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)))) #s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (.f64 #s(literal -1/2 binary64) (.f64 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) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (* x 1/8) (+ (* z (/ y -2)) t)) (*.f64 #s(literal 1/8 binary64) x))

derivations1.5s (24%)

Memory

5.1MiB live, 1 087.9MiB allocated; 327ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
0	20	32
1	60	32
2	397	32
3	5679	32
0	8198	29
0	125	343
1	388	343
2	1154	339
3	3400	339
4	7563	339
0	8445	297
0	142	403
1	434	403
2	1268	399
3	3733	399
4	7798	399
0	8956	352
0	27	56
0	31	56
1	127	56
2	907	56
0	8708	52
0	30	135
0	43	135
1	172	132
2	1283	132
0	8255	132
0	87	246
1	228	246
2	648	245
3	2246	244
4	5808	244
0	8059	218

Stop Event

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

Compiler

Compiled 451 to 75 computations (83.4% saved)

preprocess115.0ms (1.9%)

Memory: 14.5MiB live, 104.1MiB allocated; 24ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 996 to 236 computations (76.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (20.6%)

explain190.0ms (3.1%)

preprocess44.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize40.0ms (0.7%)

series9.0ms (0.2%)

simplify195.0ms (3.2%)

rewrite251.0ms (4.1%)

eval302.0ms (5%)

prune6.0ms (0.1%)

simplify11.0ms (0.2%)

localize106.0ms (1.7%)

series21.0ms (0.3%)

simplify150.0ms (2.5%)

rewrite268.0ms (4.4%)

eval106.0ms (1.7%)

prune8.0ms (0.1%)

simplify10.0ms (0.2%)

localize89.0ms (1.5%)

series9.0ms (0.1%)

simplify141.0ms (2.3%)

rewrite215.0ms (3.5%)

eval22.0ms (0.4%)

prune6.0ms (0.1%)

simplify10.0ms (0.2%)

localize49.0ms (0.8%)

series7.0ms (0.1%)

simplify255.0ms (4.2%)

rewrite280.0ms (4.6%)

eval12.0ms (0.2%)

prune11.0ms (0.2%)

regimes168.0ms (2.8%)

regimes33.0ms (0.5%)

regimes34.0ms (0.6%)

regimes6.0ms (0.1%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

bsearch39.0ms (0.6%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify76.0ms (1.3%)

derivations1.5s (24%)

preprocess115.0ms (1.9%)

end0.0ms (0%)

Profiling