Metrics for Linear.V3:cross from linear-1.19.1.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 9 to 9 computations (0% saved)

sample775.0ms (24.7%)

Memory

12.6MiB live, 618.8MiB allocated; 124ms collecting garbage

Samples

446.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-mult: 149.0ms (60.2% of total)

ival-sub: 88.0ms (35.5% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain89.0ms (2.8%)

Memory

19.2MiB live, 66.1MiB allocated; 2ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(-.f64 (.f64 x y) (.f64 z t))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x y) (.f64 z t))`	nan-rescue	7	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z t)`	overflow	37

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 36.0ms (92.1% of total)

ival-sub: 2.0ms (5.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess22.0ms (0.7%)

Memory

-7.2MiB live, 36.6MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))

Outputs
(-.f64 (.f64 x y) (.f64 z t))
(fma.f64 (neg.f64 t) z (*.f64 y x))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify0.0ms (0%)

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

series8.0ms (0.3%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

7 → 17

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((- (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms	x	@	-inf	((- (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms	x	@	inf	((- (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms	y	@	-inf	((- (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms	t	@	-inf	((- (* x y) (* z t)) (* x y) x y (* z t) z t)

simplify126.0ms (4%)

Memory

-6.2MiB live, 90.4MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	84
1	140	84
2	425	84
3	1444	84
4	3143	84
5	5140	84
6	6919	84
7	7366	84
0	8080	84

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 13

Calls

Call 1

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

Outputs
(* -1 (* t z))
(*.f64 (neg.f64 z) t)
(- (* x y) (* t z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* x y)
(*.f64 y x)
x
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
y
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* t z)
(*.f64 t z)
z
(* z (- (/ (* x y) z) t))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
t
(* t (- (/ (* x y) t) z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 (neg.f64 z) t (*.f64 y x))

rewrite201.0ms (6.4%)

Memory

15.3MiB live, 289.4MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	28	17
2	189	17
3	1896	17
0	8610	17

Stop Event

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

Counts

7 → 325

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t

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

eval37.0ms (1.2%)

Memory: -18.9MiB live, 86.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 11 971 to 750 computations (93.7% saved)

prune6.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	326	3	329
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	3	330

Accuracy

100.0%

Counts

330 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (neg.f64 z) t (*.f64 y x))
▶	99.2%	(fma.f64 y x (*.f64 (neg.f64 z) t))
▶	50.3%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify0.0ms (0%)

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

series7.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

10 → 21

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
(fma.f64 y x (*.f64 (neg.f64 z) t))
y
x
(fma.f64 (neg.f64 z) t (*.f64 y x))
(*.f64 y x)

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) z t (+ (* y x) (* (neg z) t)) y x (+ (* (neg z) t) (* y x)) (* y x))
1.0ms	x	@	-inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) z t (+ (* y x) (* (neg z) t)) y x (+ (* (neg z) t) (* y x)) (* y x))
1.0ms	y	@	-inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) z t (+ (* y x) (* (neg z) t)) y x (+ (* (neg z) t) (* y x)) (* y x))
1.0ms	z	@	inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) z t (+ (* y x) (* (neg z) t)) y x (+ (* (neg z) t) (* y x)) (* y x))
1.0ms	t	@	inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) z t (+ (* y x) (* (neg z) t)) y x (+ (* (neg z) t) (* y x)) (* y x))

simplify209.0ms (6.6%)

Memory

3.0MiB live, 181.5MiB allocated; 65ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	111
1	190	111
2	593	111
3	1909	111
4	3757	111
5	5730	111
6	6987	111
7	7415	111
0	8111	111

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 17

Calls

Call 1

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

Outputs
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
x
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
y
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 z)
(neg.f64 z)
z
(* z (- (/ (* x y) z) t))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* z (+ (* -1 t) (/ (* x y) z)))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
t
(* t (- (/ (* x y) t) z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* t (+ (* -1 z) (/ (* x y) t)))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(fma.f64 (neg.f64 t) z (*.f64 y x))

rewrite171.0ms (5.4%)

Memory

3.5MiB live, 149.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	18	39
1	67	39
2	436	39
3	5005	39
0	8444	36

Stop Event

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

Counts

10 → 336

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
(fma.f64 y x (*.f64 (neg.f64 z) t))
y
x
(fma.f64 (neg.f64 z) t (*.f64 y x))
(*.f64 y x)

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

eval24.0ms (0.8%)

Memory: -5.1MiB live, 39.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 832 to 426 computations (91.2% saved)

prune10.0ms (0.3%)

Memory

-24.6MiB live, 20.0MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	213	4	217

Accuracy

100.0%

Counts

217 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 (neg.f64 z) t (*.f64 y x))
✓	99.2%	(fma.f64 y x (*.f64 (neg.f64 z) t))
▶	50.9%	(fma.f64 y x (*.f64 t z))
✓	50.3%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Compiler

Compiled 32 to 30 computations (6.3% saved)

simplify0.0ms (0%)

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

series5.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (* y x) (* t z)) y x (* t z) t z)
1.0ms	t	@	-inf	((+ (* y x) (* t z)) y x (* t z) t z)
1.0ms	z	@	-inf	((+ (* y x) (* t z)) y x (* t z) t z)
0.0ms	x	@	-inf	((+ (* y x) (* t z)) y x (* t z) t z)
0.0ms	z	@	inf	((+ (* y x) (* t z)) y x (* t z) t z)

simplify85.0ms (2.7%)

Memory

-5.9MiB live, 93.5MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	73
1	162	73
2	552	73
3	1735	73
4	3286	73
5	5124	73
6	7764	73
0	8052	64

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 11

Calls

Call 1

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

Outputs
(* t z)
(*.f64 z t)
(+ (* t z) (* x y))
(fma.f64 x y (*.f64 z t))
x
(* x y)
(*.f64 x y)
(* x (+ y (/ (* t z) x)))
(fma.f64 x y (*.f64 z t))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 x y (*.f64 z t))
y
(* y (+ x (/ (* t z) y)))
(fma.f64 x y (*.f64 z t))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 x y (*.f64 z t))
z
(* z (+ t (/ (* x y) z)))
(fma.f64 x y (*.f64 z t))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 x y (*.f64 z t))
t
(* t (+ z (/ (* x y) t)))
(fma.f64 x y (*.f64 z t))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 x y (*.f64 z t))

rewrite206.0ms (6.6%)

Memory

13.6MiB live, 246.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	28	13
2	200	13
3	2044	13
0	8560	13

Stop Event

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

Counts

6 → 462

Calls

Call 1

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

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

eval52.0ms (1.7%)

Memory: 4.5MiB live, 90.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 15 275 to 903 computations (94.1% saved)

prune7.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	464	1	465
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	465	4	469

Accuracy

100.0%

Counts

469 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 (neg.f64 z) t (*.f64 y x))
✓	99.2%	(fma.f64 y x (*.f64 (neg.f64 z) t))
✓	50.3%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
▶	52.2%	#s(approx (+ (* y x) (* t z)) (*.f64 x y))

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify0.0ms (0%)

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

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

4 → 13

Calls

Call 1

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

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

Calls

12 calls:

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

simplify184.0ms (5.9%)

Memory

-44.4MiB live, 65.7MiB allocated; 112ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	71
1	162	71
2	552	71
3	1735	71
4	3286	71
5	5124	71
6	7764	71
0	8052	62

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 11

Calls

Call 1

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

Outputs
(* t z)
(*.f64 z t)
(+ (* t z) (* x y))
(fma.f64 x y (*.f64 z t))
(* x y)
(*.f64 x y)
x
(* x (+ y (/ (* t z) x)))
(fma.f64 x y (*.f64 z t))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 x y (*.f64 z t))
y
(* y (+ x (/ (* t z) y)))
(fma.f64 x y (*.f64 z t))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 x y (*.f64 z t))
(* z (+ t (/ (* x y) z)))
(fma.f64 x y (*.f64 z t))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 x y (*.f64 z t))
(* t (+ z (/ (* x y) t)))
(fma.f64 x y (*.f64 z t))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 x y (*.f64 z t))

rewrite184.0ms (5.8%)

Memory

17.3MiB live, 196.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	29	16
2	201	16
3	2055	16
0	8589	15

Stop Event

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

Counts

4 → 31

Calls

Call 1

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

Outputs
#s(approx (+ (* y x) (* t z)) (*.f64 x y))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(.f64 (sqrt.f64 (neg.f64 (.f64 (neg.f64 x) y))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 x) y))))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y y) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 x x) y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 x y)
(*.f64 y x)
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 x y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (.f64 x y))) (sinh.f64 (log.f64 (.f64 x y))))
x
y

eval3.0ms (0.1%)

Memory: 8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 495 to 104 computations (79% saved)

prune3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	34	4	38

Accuracy

100.0%

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 (neg.f64 z) t (*.f64 y x))
✓	99.2%	(fma.f64 y x (*.f64 (neg.f64 z) t))
✓	50.3%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
✓	52.2%	#s(approx (+ (* y x) (* t z)) (*.f64 x y))

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes19.0ms (0.6%)

Memory

-6.6MiB live, 38.9MiB allocated; 5ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* t z)) (*.f64 x y))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(fma.f64 y x (*.f64 t z))
(-.f64 (.f64 x y) (.f64 z t))
(fma.f64 y x (*.f64 (neg.f64 z) t))
(fma.f64 (neg.f64 z) t (*.f64 y x))

Outputs
(fma.f64 y x (*.f64 (neg.f64 z) t))

Calls

7 calls:

5.0ms	y
2.0ms	x
2.0ms	t
2.0ms	z
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 z t)`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes16.0ms (0.5%)

Memory

-8.9MiB live, 36.3MiB allocated; 5ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* t z)) (*.f64 x y))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(fma.f64 y x (*.f64 t z))
(-.f64 (.f64 x y) (.f64 z t))

Outputs
(-.f64 (.f64 x y) (.f64 z t))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Calls

7 calls:

5.0ms	(-.f64 (.f64 x y) (.f64 z t))
2.0ms	y
2.0ms	z
2.0ms	(*.f64 z t)
2.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`(*.f64 z t)`
97.2%	1	`(*.f64 x y)`
99.2%	2	`(-.f64 (.f64 x y) (.f64 z t))`
97.2%	1	`x`
97.2%	1	`y`
97.2%	1	`z`
97.2%	1	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.3%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ (* y x) (* t z)) (*.f64 x y))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(fma.f64 y x (*.f64 t z))

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
#s(approx (+ (* y x) (* t z)) (*.f64 x y))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Calls

7 calls:

2.0ms	y
1.0ms	t
1.0ms	x
1.0ms	(*.f64 x y)
1.0ms	z

Results

Accuracy	Segments	Branch
73.9%	3	`(*.f64 x y)`
69.0%	3	`x`
68.5%	3	`y`
73.4%	3	`z`
72.3%	3	`t`
77.5%	3	`(*.f64 z t)`
58.9%	3	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes12.0ms (0.4%)

Memory

-37.5MiB live, 21.5MiB allocated; 6ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(*.f64 z t)
1.0ms	x
1.0ms	y
1.0ms	t
1.0ms	z

Results

Accuracy	Segments	Branch
52.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`
52.2%	1	`y`
52.2%	1	`x`
52.2%	1	`t`
52.2%	1	`z`
52.2%	1	`(*.f64 x y)`
52.2%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 10 to 14 computations (-40% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.431572269569408e+41	1.6579427941767445e+47
0.0ms	-1.9611467434059877e-9	-6.345207368454355e-12

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify12.0ms (0.4%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	83
1	46	83
2	70	83
3	101	83
4	118	83
5	126	83
6	132	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 (neg.f64 z) t))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal +inf.0 binary64)) (-.f64 (.f64 x y) (.f64 z t)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)))
(if (<=.f64 (.f64 z t) #s(literal -4835703278458517/4835703278458516698824704 binary64)) #s(approx (- ( x y) (* z t)) (.f64 (neg.f64 z) t)) (if (<=.f64 (.f64 z t) #s(literal 1000000000000000044885712678075916785549312 binary64)) #s(approx (+ (* y x) (* t z)) (.f64 x y)) #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 z) t))))
#s(approx (+ (* y x) (* t z)) (*.f64 x y))

Outputs
(fma.f64 y x (*.f64 (neg.f64 z) t))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal +inf.0 binary64)) (-.f64 (.f64 x y) (.f64 z t)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)))
(if (<=.f64 (.f64 z t) #s(literal -4835703278458517/4835703278458516698824704 binary64)) #s(approx (- ( x y) (* z t)) (.f64 (neg.f64 z) t)) (if (<=.f64 (.f64 z t) #s(literal 1000000000000000044885712678075916785549312 binary64)) #s(approx (+ (* y x) (* t z)) (.f64 x y)) #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 z) t))))
(if (or (<=.f64 (.f64 z t) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (not (<=.f64 (.f64 z t) #s(literal 1000000000000000044885712678075916785549312 binary64)))) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (+ ( y x) (* t z)) (*.f64 x y)))
#s(approx (+ (* y x) (* t z)) (*.f64 x y))

derivations548.0ms (17.4%)

Memory

-6.5MiB live, 310.6MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	73
1	162	73
2	552	73
3	1735	73
4	3286	73
5	5124	73
6	7764	73
0	8052	64
0	13	39
0	18	39
1	67	39
2	436	39
3	5005	39
0	8444	36
0	7	17
0	10	17
1	28	17
2	189	17
3	1896	17
0	8610	17
0	42	84
1	140	84
2	425	84
3	1444	84
4	3143	84
5	5140	84
6	6919	84
7	7366	84
0	8080	84

Stop Event

1×	done
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

Compiler

Compiled 83 to 28 computations (66.3% saved)

preprocess107.0ms (3.4%)

Memory

8.8MiB live, 118.0MiB allocated; 35ms collecting garbage

Remove

(sort z t)

(sort x y)

Compiler

Compiled 208 to 98 computations (52.9% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

start0.0ms (0%)

analyze0.0ms (0%)

sample775.0ms (24.7%)

explain89.0ms (2.8%)

preprocess22.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series8.0ms (0.3%)

simplify126.0ms (4%)

rewrite201.0ms (6.4%)

eval37.0ms (1.2%)

prune6.0ms (0.2%)

simplify0.0ms (0%)

series7.0ms (0.2%)

simplify209.0ms (6.6%)

rewrite171.0ms (5.4%)

eval24.0ms (0.8%)

prune10.0ms (0.3%)

simplify0.0ms (0%)

series5.0ms (0.2%)

simplify85.0ms (2.7%)

rewrite206.0ms (6.6%)

eval52.0ms (1.7%)

prune7.0ms (0.2%)

simplify0.0ms (0%)

series4.0ms (0.1%)

simplify184.0ms (5.9%)

rewrite184.0ms (5.8%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes19.0ms (0.6%)

regimes16.0ms (0.5%)

regimes11.0ms (0.3%)

regimes12.0ms (0.4%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify12.0ms (0.4%)

derivations548.0ms (17.4%)

preprocess107.0ms (3.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7