Metrics for Linear.V2:$cdot from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample833.0ms (23.5%)

Memory

10.4MiB live, 1 004.2MiB allocated

Samples

551.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 135.0ms (72.9% of total)

ival-add: 38.0ms (20.5% of total)

ival-true: 6.0ms (3.2% of total)

adjust: 3.0ms (1.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain116.0ms (3.3%)

Memory

-36.8MiB live, 102.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(+.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	1	0
↳	`(*.f64 x y)`	overflow	20
↳	`(*.f64 z t)`	overflow	36

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (69.5% of total)

ival-add: 2.0ms (19.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess19.0ms (0.5%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	77	98
2	147	98
3	225	98
4	244	98
5	250	98
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

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 t z (*.f64 y x))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z t)
cost-diff	0	(*.f64 x y)
cost-diff	1	(+.f64 (.f64 x y) (.f64 z t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	16	17
2	30	17
3	50	17
4	71	17
5	75	17
6	78	17
0	78	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.9%)

Memory

-6.7MiB live, 42.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z t)
accuracy	0.0	(*.f64 x y)
accuracy	0.24999793583020583	(+.f64 (.f64 x y) (.f64 z t))

Samples

26.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (80.6% of total)

ival-add: 1.0ms (20.1% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

3 → 11

Calls

Call 1

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

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

simplify83.0ms (2.3%)

Memory

-7.2MiB live, 84.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	162	69
2	552	69
3	1736	69
4	3288	69
5	5131	69
6	7789	69
0	8013	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

rewrite307.0ms (8.6%)

Memory

-18.5MiB live, 223.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	29	13
2	201	13
3	2049	13
0	8564	12

Stop Event

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

Counts

3 → 485

Calls

Call 1

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

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

eval105.0ms (3%)

Memory: 6.1MiB live, 97.7MiB allocated
Compiler: Compiled 15 584 to 962 computations (93.8% saved)

prune26.0ms (0.7%)

Memory

-17.4MiB live, 29.8MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	486	2	488
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	487	2	489

Accuracy

100.0%

Counts

489 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 z t (*.f64 y x))
▶	58.3%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify5.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z t (*.f64 y x))
cost-diff	0	(*.f64 t z)
cost-diff	0	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	14	28
1	24	28
2	40	28
3	62	28
4	84	28
5	87	28
0	87	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.5%)

Memory

-13.4MiB live, 37.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.24999724760556022	(fma.f64 z t (*.f64 y x))
accuracy	0.0	(*.f64 t z)
accuracy	26.699292219812413	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Samples

48.0ms

256×

valid

Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions

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

ival-mult: 7.0ms (76.1% of total)

ival-add: 2.0ms (21.7% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

4 → 11

Calls

Call 1

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

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

simplify109.0ms (3.1%)

Memory

-13.0MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	162	69
2	552	69
3	1736	69
4	3288	69
5	5131	69
6	7817	69
0	8041	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

rewrite187.0ms (5.3%)

Memory

15.6MiB live, 104.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
0	14	22
1	52	22
2	310	22
3	3429	22
0	8675	22

Stop Event

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

Counts

4 → 312

Calls

Call 1

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

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

eval30.0ms (0.8%)

Memory: 24.0MiB live, 24.0MiB allocated
Compiler: Compiled 8 412 to 680 computations (91.9% saved)

prune6.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	313	1	314
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	313	3	316

Accuracy

100.0%

Counts

316 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 z t (*.f64 y x))
✓	58.3%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))
▶	29.3%	#s(approx (+ (* x y) (* z t)) (fabs.f64 (*.f64 t z)))

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify12.0ms (0.3%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 t z)
cost-diff	0	(fabs.f64 (*.f64 t z))
cost-diff	0	#s(approx (+ (* x y) (* z t)) (fabs.f64 (*.f64 t z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	12	21
1	24	21
2	56	21
3	114	21
4	252	21
5	550	21
6	744	21
0	744	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (2.1%)

Memory

-44.2MiB live, 15.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 t z)
accuracy	0.0	(fabs.f64 (*.f64 t z))
accuracy	45.2526611713849	#s(approx (+ (* x y) (* z t)) (fabs.f64 (*.f64 t z)))

Samples

68.0ms

256×

valid

Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 58.0ms (96.1% of total)

ival-add: 1.0ms (1.7% of total)

ival-fabs: 1.0ms (1.7% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 12

Calls

Call 1

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

Outputs
(* t z)
(+ (* t z) (* x y))
(* x y)
(* x (+ y (/ (* t z) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* y (+ x (/ (* t z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fabs (* t z))
(* 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
0.0ms	z	@	-inf	((+ (* x y) (* z t)) (fabs (* t z)) (* t z))
0.0ms	t	@	-inf	((+ (* x y) (* z t)) (fabs (* t z)) (* t z))
0.0ms	z	@	inf	((+ (* x y) (* z t)) (fabs (* t z)) (* t z))
0.0ms	t	@	inf	((+ (* x y) (* z t)) (fabs (* t z)) (* t z))
0.0ms	z	@	0	((+ (* x y) (* z t)) (fabs (* t z)) (* t z))

simplify186.0ms (5.2%)

Memory

29.6MiB live, 117.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	73
1	168	73
2	576	73
3	1801	73
4	3475	73
5	5794	73
0	8131	64

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

rewrite205.0ms (5.8%)

Memory

0.8MiB live, 288.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
0	12	18
1	41	18
2	225	17
3	2085	17
0	9321	16

Stop Event

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

Counts

3 → 97

Calls

Call 1

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

Outputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 t z)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 t z)))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 t) z)) (fabs.f64 (sqrt.f64 t)))
(.f64 (fabs.f64 (sqrt.f64 t)) (fabs.f64 (.f64 (sqrt.f64 t) z)))
(.f64 (fabs.f64 (.f64 (sqrt.f64 z) t)) (fabs.f64 (sqrt.f64 z)))
(.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (.f64 (sqrt.f64 z) t)))
(.f64 (sqrt.f64 (.f64 (*.f64 t z) (neg.f64 t))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (*.f64 t z) (neg.f64 z))) (sqrt.f64 t))
(.f64 (sqrt.f64 (pow.f64 (.f64 t z) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 t z))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 t z))) (sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (neg.f64 t)) (.f64 (sqrt.f64 t) z))
(.f64 (sqrt.f64 (neg.f64 z)) (.f64 (sqrt.f64 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 (neg.f64 (sqrt.f64 (.f64 t z))) (neg.f64 (sqrt.f64 (*.f64 t z))))
(*.f64 (neg.f64 (neg.f64 t)) z)
(.f64 (.f64 (sqrt.f64 z) t) (sqrt.f64 (neg.f64 z)))
(.f64 (.f64 (sqrt.f64 z) t) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 t) z) (sqrt.f64 (neg.f64 t)))
(.f64 (.f64 (sqrt.f64 t) z) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (sqrt.f64 (.f64 (neg.f64 z) (*.f64 t z))))
(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (neg.f64 t) (*.f64 t z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) t))
(*.f64 (neg.f64 t) (neg.f64 z))
(*.f64 (neg.f64 t) z)
(.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (*.f64 t z)))
(*.f64 (neg.f64 z) (neg.f64 t))
(*.f64 (neg.f64 z) t)
(*.f64 t (neg.f64 z))
(*.f64 t z)
(*.f64 z (neg.f64 (neg.f64 t)))
(*.f64 z (neg.f64 t))
(*.f64 z t)
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 t z))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 t z)) #s(literal 2 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 t z))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (neg.f64 t))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(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 (sqrt.f64 (.f64 t z))) #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))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 t z)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 t z)))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 t) z)) (fabs.f64 (sqrt.f64 t)))
(.f64 (fabs.f64 (sqrt.f64 t)) (fabs.f64 (.f64 (sqrt.f64 t) z)))
(.f64 (fabs.f64 (.f64 (sqrt.f64 z) t)) (fabs.f64 (sqrt.f64 z)))
(.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (.f64 (sqrt.f64 z) t)))
(.f64 (sqrt.f64 (.f64 (*.f64 t z) (neg.f64 t))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (*.f64 t z) (neg.f64 z))) (sqrt.f64 t))
(.f64 (sqrt.f64 (pow.f64 (.f64 t z) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 t z))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 t z))) (sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (neg.f64 t)) (.f64 (sqrt.f64 t) z))
(.f64 (sqrt.f64 (neg.f64 z)) (.f64 (sqrt.f64 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 (neg.f64 (sqrt.f64 (.f64 t z))) (neg.f64 (sqrt.f64 (*.f64 t z))))
(*.f64 (neg.f64 (neg.f64 t)) z)
(.f64 (.f64 (sqrt.f64 z) t) (sqrt.f64 (neg.f64 z)))
(.f64 (.f64 (sqrt.f64 z) t) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 t) z) (sqrt.f64 (neg.f64 t)))
(.f64 (.f64 (sqrt.f64 t) z) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (sqrt.f64 (.f64 (neg.f64 z) (*.f64 t z))))
(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (neg.f64 t) (*.f64 t z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) t))
(*.f64 (neg.f64 t) (neg.f64 z))
(*.f64 (neg.f64 t) z)
(.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (*.f64 t z)))
(*.f64 (neg.f64 z) (neg.f64 t))
(*.f64 (neg.f64 z) t)
(*.f64 t (neg.f64 z))
(*.f64 t z)
(*.f64 z (neg.f64 (neg.f64 t)))
(*.f64 z (neg.f64 t))
(*.f64 z t)
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 t z))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 t z)) #s(literal 2 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 t z))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (neg.f64 t))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(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 (sqrt.f64 (.f64 t z))) #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))))

eval7.0ms (0.2%)

Memory: -29.2MiB live, 17.0MiB allocated
Compiler: Compiled 786 to 160 computations (79.6% saved)

prune2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	52	3	55

Accuracy

100.0%

Counts

55 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 z t (*.f64 y x))
▶	46.2%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))
✓	58.3%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	16	16
2	30	16
3	50	16
4	71	16
5	75	16
6	78	16
0	78	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (2.2%)

Memory

-8.8MiB live, 37.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	34.42322835149301	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Samples

72.0ms

256×

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 63.0ms (98.1% of total)

ival-add: 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)

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

2 → 11

Calls

Call 1

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

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

simplify84.0ms (2.4%)

Memory

10.6MiB live, 105.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	69
1	162	69
2	552	69
3	1736	69
4	3288	69
5	5131	69
6	7817	69
0	8041	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

rewrite194.0ms (5.5%)

Memory

6.1MiB live, 281.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	29	14
2	201	14
3	2055	14
0	8589	13

Stop Event

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

Counts

2 → 29

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 7.6MiB live, 7.6MiB allocated
Compiler: Compiled 473 to 104 computations (78% saved)

prune2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	32	3	35

Accuracy

100.0%

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 z t (*.f64 y x))
✓	46.2%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))
✓	58.3%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 75 to 41 computations (45.3% saved)

regimes15.0ms (0.4%)

Memory

-15.5MiB live, 31.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	z
2.0ms	y
2.0ms	t
2.0ms	x
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 z t)`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(+.f64 (.f64 x y) (.f64 z t))`
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes30.0ms (0.8%)

Memory

-24.3MiB live, 28.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	(*.f64 z t)
2.0ms	z
2.0ms	t
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
80.5%	3	`(*.f64 z t)`
80.8%	3	`(*.f64 x y)`
62.5%	3	`(+.f64 (.f64 x y) (.f64 z t))`
70.9%	3	`x`
76.1%	3	`y`
74.6%	3	`z`
73.6%	3	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes8.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
58.3%	1	`(+.f64 (.f64 x y) (.f64 z t))`
58.3%	1	`x`
58.3%	1	`t`
58.3%	1	`z`
58.3%	1	`y`
58.3%	1	`(*.f64 z t)`
58.3%	1	`(*.f64 x y)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.4708749497238105e+54	7.274070225321233e+54
0.0ms	-9.821444186057505e+83	-2.4815395105355977e+69

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify11.0ms (0.3%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	28	52
2	42	52
3	62	52
4	83	52
5	87	52
6	90	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x y) #s(literal -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (if (<=.f64 (*.f64 x y) #s(literal 5000000000000000051175335102042755748152194067662372864 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 t z)) #s(approx (+ (* x y) (* z t)) (*.f64 y x))))

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

Outputs
(fma.f64 z t (*.f64 y x))
(if (<=.f64 (.f64 x y) #s(literal -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) #s(approx (+ ( x y) (* z t)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 5000000000000000051175335102042755748152194067662372864 binary64)) #s(approx (+ (* x y) (* z t)) (.f64 t z)) #s(approx (+ ( x y) (* z t)) (*.f64 y x))))
(if (or (<=.f64 (.f64 x y) #s(literal -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (not (<=.f64 (.f64 x y) #s(literal 5000000000000000051175335102042755748152194067662372864 binary64)))) #s(approx (+ (* x y) (* z t)) (.f64 y x)) #s(approx (+ ( x y) (* z t)) (*.f64 t z)))
#s(approx (+ (* x y) (* z t)) (*.f64 t z))

derivations647.0ms (18.3%)

Memory

12.5MiB live, 572.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	73
1	168	73
2	576	73
3	1801	73
4	3475	73
5	5794	73
0	8131	64
0	40	69
1	162	69
2	552	69
3	1736	69
4	3288	69
5	5131	69
6	7789	69
0	8013	60
0	11	23
0	14	22
1	52	22
2	310	22
3	3429	22
0	8675	22
0	7	13
0	10	13
1	29	13
2	201	13
3	2049	13
0	8564	12

Stop Event

1×	done
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

Compiler

Compiled 52 to 20 computations (61.5% saved)

preprocess54.0ms (1.5%)

Memory

-10.5MiB live, 39.8MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 142 to 78 computations (45.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	77	98
2	147	98
3	225	98
4	244	98
5	250	98
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

Iter	Nodes	Cost
0	36	102
1	77	98
2	147	98
3	225	98
4	244	98
5	250	98
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

start0.0ms (0%)

analyze0.0ms (0%)

sample833.0ms (23.5%)

explain116.0ms (3.3%)

preprocess19.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize31.0ms (0.9%)

series7.0ms (0.2%)

simplify83.0ms (2.3%)

rewrite307.0ms (8.6%)

eval105.0ms (3%)

prune26.0ms (0.7%)

simplify5.0ms (0.1%)

localize53.0ms (1.5%)

series4.0ms (0.1%)

simplify109.0ms (3.1%)

rewrite187.0ms (5.3%)

eval30.0ms (0.8%)

prune6.0ms (0.2%)

simplify12.0ms (0.3%)

localize73.0ms (2.1%)

series3.0ms (0.1%)

simplify186.0ms (5.2%)

rewrite205.0ms (5.8%)

eval7.0ms (0.2%)

prune2.0ms (0%)

simplify5.0ms (0.1%)

localize76.0ms (2.2%)

series3.0ms (0.1%)

simplify84.0ms (2.4%)

rewrite194.0ms (5.5%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

regimes15.0ms (0.4%)

regimes30.0ms (0.8%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

simplify11.0ms (0.3%)

derivations647.0ms (18.3%)

preprocess54.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	77	98
2	147	98
3	225	98
4	244	98
5	250	98
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6