Metrics for Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample894.0ms (29.3%)

Memory

18.3MiB live, 864.8MiB allocated; 248ms collecting garbage

Samples

676.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 85.0ms (61.3% of total)

ival-sub: 42.0ms (30.3% of total)

ival-true: 6.0ms (4.3% of total)

ival-assert: 4.0ms (2.9% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

explain65.0ms (2.1%)

Memory

6.5MiB live, 146.8MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 x (*.f64 y z))`
-	-	`(*.f64 y z)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (53.8% of total)

ival-sub: 3.0ms (40.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess24.0ms (0.8%)

Memory

-1.1MiB live, 87.7MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	40	48
2	81	48
3	115	48
4	129	48
5	133	48
0	5	5
0	7	5
1	11	5
2	20	5
3	30	5
4	39	5
0	39	5

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))

Symmetry

(sort y z)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (*.f64 y z))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify7.0ms (0.2%)

Memory

-37.0MiB live, 19.6MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y z)
cost-diff	0	(-.f64 x (*.f64 y z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	20	11
3	30	11
4	39	11
0	39	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))
x
(*.f64 y z)
(*.f64 z y)
y
z

localize47.0ms (1.5%)

Memory

13.7MiB live, 60.7MiB allocated; 3ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y z)
accuracy	0.0078125	(-.f64 x (*.f64 y z))

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (47% of total)

ival-sub: 1.0ms (23.5% of total)

ival-assert: 1.0ms (23.5% of total)

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

adjust: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

2 → 11

Calls

Call 1

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

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

Calls

9 calls:

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

simplify140.0ms (4.6%)

Memory

-28.2MiB live, 132.3MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	48
1	90	48
2	232	48
3	773	48
4	1895	48
5	3026	48
6	4128	48
7	5021	48
8	5451	48
9	7307	48
0	8077	48

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite263.0ms (8.6%)

Memory

14.5MiB live, 242.9MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	24	8
2	165	8
3	1623	8
0	8994	8

Stop Event

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

Counts

2 → 226

Calls

Call 1

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

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

eval59.0ms (1.9%)

Memory: 2.8MiB live, 45.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 640 to 586 computations (92.3% saved)

prune4.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	228	2	230

Accuracy

100.0%

Counts

230 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 z) y x)
▶	50.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	15	28
1	23	28
2	33	28
3	45	28
0	45	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (1.2%)

Memory

-44.2MiB live, 60.8MiB allocated; 17ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (neg.f64 z) y x)
accuracy	0.0	(neg.f64 z)
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	31.63867403861025	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))

Samples

29.0ms

256×

valid

Compiler

Compiled 26 to 12 computations (53.8% saved)

Precisions

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

ival-mult: 6.0ms (54.8% of total)

ival-neg: 2.0ms (18.3% of total)

ival-sub: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

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

adjust: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

5 → 16

Calls

Call 1

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

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

Calls

9 calls:

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

simplify199.0ms (6.5%)

Memory

23.1MiB live, 152.5MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	69
1	140	69
2	385	69
3	1039	69
4	2194	69
5	2991	69
6	3867	69
7	4496	69
8	5116	69
9	5661	69
10	6121	69
11	6269	69
12	6375	69
13	6793	69
14	7122	69
15	7621	69
0	8049	69

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite162.0ms (5.3%)

Memory

-2.0MiB live, 188.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	15	23
1	46	23
2	307	23
3	3505	21
0	8757	19

Stop Event

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

Counts

5 → 200

Calls

Call 1

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

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

eval64.0ms (2.1%)

Memory: 19.3MiB live, 127.9MiB allocated; 25ms collecting garbage
Compiler: Compiled 3 819 to 441 computations (88.5% saved)

prune9.0ms (0.3%)

Memory

-7.8MiB live, 34.4MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	203	4	207

Accuracy

100.0%

Counts

207 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 z) y x)
▶	49.8%	(fma.f64 z y x)
✓	50.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
▶	2.2%	#s(approx (- x (* y z)) (*.f64 z y))

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify7.0ms (0.2%)

Memory

-28.9MiB live, 15.4MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	10	21
1	15	21
2	26	21
3	39	21
4	51	21
0	51	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.9%)

Memory

-1.6MiB live, 98.5MiB allocated; 15ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 z y x)
accuracy	0.0	(*.f64 z y)
accuracy	62.602740752725474	#s(approx (- x (* y z)) (*.f64 z y))

Samples

19.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (60.7% of total)

ival-sub: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% 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

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

3 → 18

Calls

Call 1

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

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

Calls

9 calls:

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

simplify194.0ms (6.3%)

Memory

-8.4MiB live, 181.8MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	83
1	161	83
2	472	83
3	1374	83
4	2649	83
5	3668	83
6	5000	83
7	5703	83
8	6387	83
9	6943	83
10	7421	83
11	7559	83
0	8025	76

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

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

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

rewrite208.0ms (6.8%)

Memory

10.7MiB live, 200.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	42	16
2	259	16
3	2872	16
0	8719	16

Stop Event

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

Counts

3 → 196

Calls

Call 1

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

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

eval48.0ms (1.6%)

Memory: -4.4MiB live, 38.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 619 to 510 computations (90.9% saved)

prune5.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	200	4	204

Accuracy

100.0%

Counts

204 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 z) y x)
✓	49.8%	(fma.f64 z y x)
✓	50.6%	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
✓	2.2%	#s(approx (- x (* y z)) (*.f64 z y))

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes30.0ms (1%)

Memory

-15.7MiB live, 28.8MiB allocated; 5ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	(*.f64 y z)
2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(-.f64 x (*.f64 y z))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y z)`
100.0%	1	`(-.f64 x (*.f64 y z))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes10.0ms (0.3%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 x (*.f64 y z))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y z)`
100.0%	1	`(-.f64 x (*.f64 y z))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes40.0ms (1.3%)

Memory

-48.7MiB live, 20.3MiB allocated; 27ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
84.1%	3	`(*.f64 y z)`
65.5%	5	`(-.f64 x (*.f64 y z))`
70.3%	3	`x`
74.6%	3	`y`
78.3%	3	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes23.0ms (0.8%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Outputs
(fma.f64 z y x)

Calls

5 calls:

17.0ms	(*.f64 y z)
1.0ms	y
1.0ms	(-.f64 x (*.f64 y z))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
49.8%	1	`(-.f64 x (*.f64 y z))`
49.8%	1	`x`
49.8%	1	`y`
49.8%	1	`z`
49.8%	1	`(*.f64 y z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes6.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
2.2%	1	`(-.f64 x (*.f64 y z))`
2.2%	1	`(*.f64 y z)`
2.2%	1	`x`
2.2%	1	`y`
2.2%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3171769807493997e-22	8.505153327488692e-21
0.0ms	-3.4331596608698655e-80	-1.2123556078194024e-88

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify12.0ms (0.4%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	38	50
2	52	50
3	63	50
4	72	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
(if (<=.f64 (.f64 y z) #s(literal -5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- x ( y z)) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y z) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (fma.f64 z y x) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))))
(fma.f64 z y x)
#s(approx (- x (* y z)) (*.f64 z y))

Outputs
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
(if (<=.f64 (.f64 y z) #s(literal -5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- x ( y z)) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y z) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (fma.f64 z y x) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))))
(if (or (<=.f64 (.f64 y z) #s(literal -5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (not (<=.f64 (.f64 y z) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)) (fma.f64 z y x))
(fma.f64 z y x)
#s(approx (- x (* y z)) (*.f64 z y))

derivations410.0ms (13.4%)

Memory

-7.5MiB live, 371.5MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	24	8
2	165	8
3	1623	8
0	8994	8
0	10	23
0	15	23
1	46	23
2	307	23
3	3505	21
0	8757	19
0	32	48
1	90	48
2	232	48
3	773	48
4	1895	48
5	3026	48
6	4128	48
7	5021	48
8	5451	48
9	7307	48
0	8077	48

Stop Event

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

Compiler

Compiled 50 to 22 computations (56% saved)

preprocess47.0ms (1.5%)

Memory: -20.4MiB live, 169.7MiB allocated; 11ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 164 to 90 computations (45.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample894.0ms (29.3%)

explain65.0ms (2.1%)

preprocess24.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.2%)

localize47.0ms (1.5%)

series4.0ms (0.1%)

simplify140.0ms (4.6%)

rewrite263.0ms (8.6%)

eval59.0ms (1.9%)

prune4.0ms (0.1%)

simplify4.0ms (0.1%)

localize35.0ms (1.2%)

series5.0ms (0.2%)

simplify199.0ms (6.5%)

rewrite162.0ms (5.3%)

eval64.0ms (2.1%)

prune9.0ms (0.3%)

simplify7.0ms (0.2%)

localize26.0ms (0.9%)

series3.0ms (0.1%)

simplify194.0ms (6.3%)

rewrite208.0ms (6.8%)

eval48.0ms (1.6%)

prune5.0ms (0.2%)

regimes30.0ms (1%)

regimes10.0ms (0.3%)

regimes40.0ms (1.3%)

regimes23.0ms (0.8%)

regimes6.0ms (0.2%)

bsearch1.0ms (0%)

simplify12.0ms (0.4%)

derivations410.0ms (13.4%)

preprocess47.0ms (1.5%)

end0.0ms (0%)

Profiling