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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample907.0ms (24%)

Memory

-5.1MiB live, 943.6MiB allocated; 161ms collecting garbage

Samples

511.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult: 178.0ms (77% of total)

ival-add: 43.0ms (18.6% of total)

ival-true: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain119.0ms (3.1%)

Memory

14.6MiB live, 160.6MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.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	4	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z t)`	overflow	30

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 44.0ms (94.6% of total)

ival-add: 2.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess46.0ms (1.2%)

Memory

-13.8MiB live, 33.5MiB allocated; 2ms collecting garbage

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

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

localize17.0ms (0.5%)

Memory

29.5MiB live, 29.5MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z t)
accuracy	0.0	(*.f64 x y)
accuracy	0.9531188074906174	(+.f64 (.f64 x y) (.f64 z t))

Samples

12.0ms

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: 3.0ms (60.3% 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)

series70.0ms (1.9%)

Memory

-39.3MiB live, 8.2MiB allocated; 2ms collecting garbage

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
63.0ms	x	@	inf	((+ (* x y) (* z t)) (* x y) (* z t))
2.0ms	x	@	-inf	((+ (* x y) (* z t)) (* x y) (* z t))
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	z	@	-inf	((+ (* x y) (* z t)) (* x y) (* z t))

simplify114.0ms (3%)

Memory

30.3MiB live, 122.6MiB allocated; 13ms collecting garbage

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))

rewrite297.0ms (7.9%)

Memory

9.5MiB live, 190.1MiB allocated; 44ms collecting garbage

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))))

eval69.0ms (1.8%)

Memory: -27.3MiB live, 64.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 15 584 to 962 computations (93.8% saved)

prune7.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	485	3	488
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	486	3	489

Accuracy

100.0%

Counts

489 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 z t (*.f64 y x))
▶	98.8%	(fma.f64 y x (*.f64 t z))
▶	47.2%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify5.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 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	(fma.f64 y x (*.f64 t z))
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	12	42
0	16	41
1	31	41
2	48	41
3	71	41
4	84	41
5	87	41
0	87	41

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

localize53.0ms (1.4%)

Memory

-20.4MiB live, 26.1MiB allocated; 2ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.2578097476055602	(fma.f64 z t (*.f64 y x))
accuracy	0.0	(*.f64 t z)
accuracy	0.7499917428166807	(fma.f64 y x (*.f64 t z))
accuracy	0.0	(*.f64 t z)
accuracy	33.768944103815144	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Samples

20.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

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

ival-mult: 7.0ms (70.3% of total)

ival-add: 3.0ms (30.1% 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

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

Counts

5 → 11

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(*.f64 t z)
(fma.f64 y x (*.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	y	@	-inf	((+ (* x y) (* z t)) (* t z) (+ (* y x) (* t z)) (+ (* z t) (* y x)) (* y x))
0.0ms	t	@	-inf	((+ (* x y) (* z t)) (* t z) (+ (* y x) (* t z)) (+ (* z t) (* y x)) (* y x))
0.0ms	x	@	-inf	((+ (* x y) (* z t)) (* t z) (+ (* y x) (* t z)) (+ (* z t) (* y x)) (* y x))
0.0ms	z	@	-inf	((+ (* x y) (* z t)) (* t z) (+ (* y x) (* t z)) (+ (* z t) (* y x)) (* y x))
0.0ms	x	@	inf	((+ (* x y) (* z t)) (* t z) (+ (* y x) (* t z)) (+ (* z t) (* y x)) (* y x))

simplify120.0ms (3.2%)

Memory

19.8MiB live, 75.7MiB allocated; 39ms collecting garbage

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))

rewrite257.0ms (6.8%)

Memory

-6.0MiB live, 127.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	16	28
1	72	28
2	343	28
3	3474	28
0	8780	28

Stop Event

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

Counts

5 → 589

Calls

Call 1

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

eval70.0ms (1.9%)

Memory: -16.4MiB live, 83.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 9 049 to 742 computations (91.8% saved)

prune6.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	364	1	365
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	364	4	368

Accuracy

100.0%

Counts

368 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 z t (*.f64 y x))
✓	98.8%	(fma.f64 y x (*.f64 t z))
✓	47.2%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))
▶	26.6%	#s(approx (+ (* x y) (* z t)) (fabs.f64 (*.f64 t z)))

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify11.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

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

localize65.0ms (1.7%)

Memory

-18.6MiB live, 27.8MiB allocated; 4ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 t z)
accuracy	0.0	(fabs.f64 (*.f64 t z))
accuracy	46.97589019553295	#s(approx (+ (* x y) (* z t)) (fabs.f64 (*.f64 t z)))

Samples

16.0ms

256×

valid

Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (64.1% of total)

ival-add: 1.0ms (12.8% of total)

ival-fabs: 1.0ms (12.8% 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

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

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	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	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))

simplify168.0ms (4.5%)

Memory

-13.1MiB live, 214.1MiB allocated; 31ms collecting garbage

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))

rewrite223.0ms (5.9%)

Memory

-1.3MiB live, 299.4MiB allocated; 112ms collecting garbage

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))))

eval5.0ms (0.1%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 786 to 160 computations (79.6% saved)

prune2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

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	1	2	3
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 y x (*.f64 t z))
▶	56.7%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))
✓	47.2%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

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

localize22.0ms (0.6%)

Memory

-3.8MiB live, 42.4MiB allocated; 4ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	27.729898342771897	#s(approx (+ (* x y) (* z t)) (*.f64 y x))

Samples

17.0ms

256×

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (77.4% of total)

ival-add: 1.0ms (15.5% 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

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

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

simplify133.0ms (3.5%)

Memory

-38.3MiB live, 63.5MiB allocated; 10ms collecting garbage

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))

rewrite184.0ms (4.9%)

Memory

36.1MiB live, 225.8MiB allocated; 16ms collecting garbage

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))))

eval5.0ms (0.1%)

Memory: -40.8MiB live, 6.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 473 to 104 computations (78% saved)

prune2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

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
✓	98.8%	(fma.f64 y x (*.f64 t z))
✓	56.7%	#s(approx (+ (* x y) (* z t)) (*.f64 y x))
✓	47.2%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 81 to 42 computations (48.1% saved)

regimes16.0ms (0.4%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Counts

6 → 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 y x (*.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:

2.0ms	t
2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.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)

regimes51.0ms (1.4%)

Memory

-23.3MiB live, 23.8MiB allocated; 2ms collecting garbage

Counts

4 → 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 y x (*.f64 t z))

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

Calls

7 calls:

40.0ms	x
2.0ms	t
2.0ms	z
2.0ms	y
2.0ms	(+.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f64 z t)`
98.8%	1	`(*.f64 x y)`
98.8%	1	`(+.f64 (.f64 x y) (.f64 z t))`
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.3%)

Memory

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
81.8%	3	`(*.f64 z t)`
79.0%	3	`(*.f64 x y)`
56.7%	1	`(+.f64 (.f64 x y) (.f64 z t))`
72.2%	3	`x`
74.8%	3	`y`
73.2%	3	`z`
72.7%	3	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes43.0ms (1.1%)

Memory

-29.6MiB live, 18.0MiB allocated; 1ms collecting garbage

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:

37.0ms	x
1.0ms	y
1.0ms	(+.f64 (.f64 x y) (.f64 z t))
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
47.2%	1	`(+.f64 (.f64 x y) (.f64 z t))`
47.2%	1	`x`
47.2%	1	`t`
47.2%	1	`z`
47.2%	1	`y`
47.2%	1	`(*.f64 x y)`
47.2%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	17760247374336834000.0	4.053352931346834e+25
0.0ms	-7.822866170752217e+78	-1.9038401403283609e+77

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify11.0ms (0.3%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	29	58
2	43	58
3	63	58
4	84	58
5	88	58
6	91	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 t z))
(if (<=.f64 (.f64 z t) #s(literal -4999999999999999836780037503297759611373201803324989956633012309316501610954752 binary64)) #s(approx (+ ( x y) (* z t)) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 20000000000000000000 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))

Outputs
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 t z))
(if (<=.f64 (.f64 z t) #s(literal -4999999999999999836780037503297759611373201803324989956633012309316501610954752 binary64)) #s(approx (+ ( x y) (* z t)) (.f64 t z)) (if (<=.f64 (.f64 z t) #s(literal 20000000000000000000 binary64)) #s(approx (+ (* x y) (* z t)) (.f64 y x)) #s(approx (+ ( x y) (* z t)) (*.f64 t z))))
(if (or (<=.f64 (.f64 z t) #s(literal -4999999999999999836780037503297759611373201803324989956633012309316501610954752 binary64)) (not (<=.f64 (.f64 z t) #s(literal 20000000000000000000 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))

derivations613.0ms (16.2%)

Memory

-8.2MiB live, 506.6MiB allocated; 120ms collecting garbage

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
0	7	13
0	10	13
1	29	13
2	201	13
3	2049	13
0	8564	12
0	41	73
1	168	73
2	576	73
3	1801	73
4	3475	73
5	5794	73
0	8131	64
0	12	29
0	16	28
1	72	28
2	343	28
3	3474	28
0	8780	28

Stop Event

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

Compiler

Compiled 58 to 21 computations (63.8% saved)

preprocess34.0ms (0.9%)

Memory

14.8MiB live, 60.6MiB allocated; 4ms collecting garbage

Remove

(sort z t)

(sort x y)

Compiler

Compiled 154 to 80 computations (48.1% saved)

end0.0ms (0%)

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

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%)

analyze1.0ms (0%)

sample907.0ms (24%)

explain119.0ms (3.1%)

preprocess46.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.5%)

series70.0ms (1.9%)

simplify114.0ms (3%)

rewrite297.0ms (7.9%)

eval69.0ms (1.8%)

prune7.0ms (0.2%)

simplify5.0ms (0.1%)

localize53.0ms (1.4%)

series4.0ms (0.1%)

simplify120.0ms (3.2%)

rewrite257.0ms (6.8%)

eval70.0ms (1.9%)

prune6.0ms (0.2%)

simplify11.0ms (0.3%)

localize65.0ms (1.7%)

series3.0ms (0.1%)

simplify168.0ms (4.5%)

rewrite223.0ms (5.9%)

eval5.0ms (0.1%)

prune2.0ms (0%)

simplify5.0ms (0.1%)

localize22.0ms (0.6%)

series3.0ms (0.1%)

simplify133.0ms (3.5%)

rewrite184.0ms (4.9%)

eval5.0ms (0.1%)

prune2.0ms (0.1%)

regimes16.0ms (0.4%)

regimes51.0ms (1.4%)

regimes11.0ms (0.3%)

regimes43.0ms (1.1%)

bsearch1.0ms (0%)

simplify11.0ms (0.3%)

derivations613.0ms (16.2%)

preprocess34.0ms (0.9%)

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