Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 9 to 9 computations (0% saved)

sample1.1s (21.5%)

Memory

-24.7MiB live, 1 268.8MiB allocated; 284ms collecting garbage

Samples

730.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-mult: 232.0ms (75.5% of total)

ival-sub: 60.0ms (19.5% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain97.0ms (1.9%)

Memory

-10.4MiB live, 105.0MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`	*no**	17	0

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-mult: 7.0ms (63.3% of total)

ival-sub: 2.0ms (18.1% of total)

ival-true: 1.0ms (9% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess61.0ms (1.2%)

Memory

24.2MiB live, 71.5MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	66	65
2	158	63
3	317	63
4	600	63
5	805	63
6	990	63
7	1138	63
8	1177	63
9	1177	63
0	7	7
0	10	7
1	17	7
2	32	7
3	69	7
4	165	7
5	341	7
6	431	7
7	512	7
8	548	7
0	548	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)

Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify26.0ms (0.5%)

Memory

-31.7MiB live, 15.8MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y z)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
#s(literal 1 binary64)
(*.f64 y z)
(*.f64 z y)
y
z

localize17.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0.0	(*.f64 y z)
accuracy	3.9878001674618893	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

12.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (59.9% of total)

ival-sub: 1.0ms (20% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

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

Counts

3 → 16

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	x	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	z	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify198.0ms (3.9%)

Memory

-3.0MiB live, 138.7MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	144	82
2	379	82
3	1023	82
4	2458	82
5	5906	82
6	7796	82
0	8434	82

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite213.0ms (4.2%)

Memory

17.4MiB live, 108.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13

Stop Event

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

Counts

3 → 385

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (neg.f64 y) z #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)))) (+.f64 x (.f64 (neg.f64 x) (.f64 (neg.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 (neg.f64 y) z) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 z y) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 (neg.f64 y) z) x) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (*.f64 (neg.f64 y) z) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 (neg.f64 y) z) x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (+.f64 x (.f64 (*.f64 z y) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 (neg.f64 y) z) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 (neg.f64 y) z) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) (/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64))))
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(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (fabs.f64 z))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) z)) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) y)) (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 (.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 y z)
(.f64 #s(literal 1 binary64) (.f64 z y))
(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))))

eval94.0ms (1.8%)

Memory: -10.5MiB live, 43.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 122 to 1 216 computations (89.1% saved)

prune41.0ms (0.8%)

Memory

-32.1MiB live, 15.1MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	387	4	391
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	4	392

Accuracy

100.0%

Counts

392 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	95.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	47.4%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	49.1%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify19.0ms (0.4%)

Memory

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

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) z x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x z)
cost-diff	0	(fma.f64 (*.f64 x z) (neg.f64 y) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	80
0	26	80
1	46	80
2	85	80
3	142	80
4	187	80
5	209	80
6	237	80
7	343	80
8	602	80
9	790	80
10	796	80
0	796	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
x
z
(neg.f64 y)
y
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z

Outputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
(.f64 #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)) x)
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(*.f64 x z)
(*.f64 z x)
x
z
(neg.f64 y)
y
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
z

localize37.0ms (0.7%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	3.303957105951864	(fma.f64 (*.f64 x (neg.f64 y)) z x)
accuracy	0.0	(*.f64 x z)
accuracy	0.0	(neg.f64 y)
accuracy	2.806940600537267	(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	3.9878001674618893	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
accuracy	29.89141471642939	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
accuracy	3.9878001674618893	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	32.710410084269064	#s(approx (- 1 (* y z)) #s(literal 1 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 70 to 17 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (65.9% of total)

ival-add: 2.0ms (13.2% of total)

ival-sub: 1.0ms (6.6% of total)

ival-neg: 1.0ms (6.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

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

Counts

10 → 20

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
2.0ms	x	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
2.0ms	x	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
1.0ms	y	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))
1.0ms	x	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (neg y) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y)))

simplify271.0ms (5.3%)

Memory

-22.1MiB live, 69.9MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	102
1	159	102
2	406	102
3	1046	102
4	2115	102
5	4250	102
6	4897	102
7	5163	102
8	5255	102
9	5261	102
10	5623	102
11	6092	102
12	6706	102
13	6718	102
14	6718	102
15	6846	102
16	6978	102
17	6978	102
18	7220	102
19	7220	102
20	7220	102
21	7220	102
0	8889	102

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite199.0ms (3.9%)

Memory

24.2MiB live, 121.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	26	65
1	85	65
2	395	65
3	3822	65
0	8554	59

Stop Event

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

Counts

10 → 353

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))

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

eval69.0ms (1.4%)

Memory: -16.7MiB live, 30.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 952 to 477 computations (87.9% saved)

prune7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	201	5	206

Accuracy

100.0%

Counts

206 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	95.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	57.8%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)
✓	47.4%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	49.1%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 49 to 42 computations (14.3% saved)

simplify47.0ms (0.9%)

Memory

-15.3MiB live, 32.3MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 (*.f64 z x) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))
cost-diff	0	(sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y)))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
0	19	48
1	28	48
2	62	48
3	224	48
4	775	48
5	1390	48
6	1694	48
7	1711	48
8	1711	48
9	2161	48
10	2459	48
11	2459	48
12	2459	48
0	2459	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)
(sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y)))
(.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))
(pow.f64 (*.f64 z x) #s(literal 2 binary64))
(*.f64 z x)
z
x
#s(literal 2 binary64)
(neg.f64 y)
y
(sqrt.f64 (neg.f64 y))

Outputs
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 (neg.f64 y) (pow.f64 (.f64 x z) #s(literal 2 binary64)))) x)
(sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y)))
(sqrt.f64 (.f64 (neg.f64 y) (pow.f64 (.f64 x z) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))
(.f64 (neg.f64 y) (pow.f64 (.f64 x z) #s(literal 2 binary64)))
(pow.f64 (*.f64 z x) #s(literal 2 binary64))
(pow.f64 (*.f64 x z) #s(literal 2 binary64))
(*.f64 z x)
(*.f64 x z)
z
x
#s(literal 2 binary64)
(neg.f64 y)
y
(sqrt.f64 (neg.f64 y))

localize59.0ms (1.2%)

Memory

-5.4MiB live, 45.0MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.19597626953688402	(pow.f64 (*.f64 z x) #s(literal 2 binary64))
accuracy	0.30083886174882907	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)
accuracy	3.1289905834937475	(.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))
accuracy	17.169545312066443	(sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y)))

Samples

24.0ms	208×	0	valid
4.0ms	48×	0	invalid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (39% of total)

ival-sqrt: 3.0ms (23.4% of total)

ival-pow2: 3.0ms (23.4% of total)

ival-add: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (1%)

Memory

10.8MiB live, 50.6MiB allocated; 11ms collecting garbage

Counts

4 → 15

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)
(sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y)))
(.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))
(pow.f64 (*.f64 z x) #s(literal 2 binary64))

Outputs
(* x (+ 1 (* y (* z (pow (sqrt -1) 2)))))
(* (* x (* z (sqrt -1))) (sqrt y))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* (pow x 2) (pow z 2))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* (* x (* z (sqrt -1))) (sqrt y)))
x
(+ x (* x (* y (* z (pow (sqrt -1) 2)))))
(* x (* y (* z (pow (sqrt -1) 2))))
(* y (+ (* x (* z (pow (sqrt -1) 2))) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* z (+ (* x (* y (pow (sqrt -1) 2))) (/ x z)))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	z	@	0	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (sqrt (* (pow (* z x) 2) (neg y))) (* (pow (* z x) 2) (neg y)) (pow (* z x) 2))
6.0ms	x	@	inf	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (sqrt (* (pow (* z x) 2) (neg y))) (* (pow (* z x) 2) (neg y)) (pow (* z x) 2))
4.0ms	x	@	0	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (sqrt (* (pow (* z x) 2) (neg y))) (* (pow (* z x) 2) (neg y)) (pow (* z x) 2))
3.0ms	z	@	inf	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (sqrt (* (pow (* z x) 2) (neg y))) (* (pow (* z x) 2) (neg y)) (pow (* z x) 2))
2.0ms	y	@	0	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (sqrt (* (pow (* z x) 2) (neg y))) (* (pow (* z x) 2) (neg y)) (pow (* z x) 2))

simplify173.0ms (3.4%)

Memory

9.0MiB live, 147.9MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	154
1	163	114
2	635	107
3	1949	103
4	4453	103
5	6889	103
0	8068	101

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

Inputs
(* x (+ 1 (* y (* z (pow (sqrt -1) 2)))))
(* (* x (* z (sqrt -1))) (sqrt y))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* (pow x 2) (pow z 2))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* (* x (* z (sqrt -1))) (sqrt y)))
x
(+ x (* x (* y (* z (pow (sqrt -1) 2)))))
(* x (* y (* z (pow (sqrt -1) 2))))
(* y (+ (* x (* z (pow (sqrt -1) 2))) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* z (+ (* x (* y (pow (sqrt -1) 2))) (/ x z)))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))

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

rewrite144.0ms (2.8%)

Memory

8.9MiB live, 199.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	19	36
1	57	32
2	293	28
3	2601	26
0	8686	25

Stop Event

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

Counts

4 → 299

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)
(sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y)))
(.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))
(pow.f64 (*.f64 z x) #s(literal 2 binary64))

Outputs
(.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))))
(.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)))
(.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) (.f64 x z) x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) x) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (pow.f64 (.f64 (*.f64 (neg.f64 y) x) z) #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (/.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))))
(.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) (/.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) (fma.f64 (neg.f64 y) (.f64 x z) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))))) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (pow.f64 (fma.f64 (neg.f64 y) (*.f64 x z) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 x z) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (fma.f64 (neg.f64 y) (.f64 x z) x))) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) (.f64 x z) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) (*.f64 x z) x))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 x z) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (neg.f64 y) (.f64 x z) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 x z) x)) (.f64 x (/.f64 x (fma.f64 (neg.f64 y) (*.f64 x z) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 (pow.f64 (.f64 y (.f64 x z)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 y) x) z) (fma.f64 (neg.f64 y) (.f64 x z) x) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 x z) x)) (.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) (.f64 x x))) (pow.f64 (fma.f64 (neg.f64 y) (.f64 x z) x) #s(literal 2 binary64)))
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eval36.0ms (0.7%)

Memory: -9.2MiB live, 80.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 140 to 1 005 computations (85.9% saved)

prune5.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	304	3	307
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	305	7	312

Accuracy

100.0%

Counts

312 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
✓	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	95.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
✓	47.4%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	49.1%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	51.1%	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
▶	2.2%	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))

Compiler

Compiled 90 to 70 computations (22.2% saved)

simplify146.0ms (2.9%)

Memory

7.0MiB live, 104.6MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(sqrt.f64 (neg.f64 y))
cost-diff	0	(*.f64 (sqrt.f64 (neg.f64 y)) z)
cost-diff	5	(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) x)
cost-diff	0	(.f64 (.f64 (neg.f64 z) x) y)
cost-diff	0	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
cost-diff	0	(*.f64 x z)
cost-diff	0	(.f64 (.f64 x z) y)
cost-diff	0	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	99
0	35	99
1	62	99
2	142	95
3	392	94
4	1248	92
5	2549	80
6	3593	80
7	3859	80
8	4111	80
9	4118	80
10	4125	80
11	4269	80
12	4329	80
13	4349	80
14	4359	80
15	4359	80
16	4359	80
17	6765	80
18	7053	80
19	7249	80
0	8041	80

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))
(.f64 (.f64 x z) y)
(*.f64 x z)
x
z
y
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 (.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y
(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
(*.f64 (sqrt.f64 (neg.f64 y)) z)
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
y
z
(*.f64 (sqrt.f64 (neg.f64 y)) x)
x

Outputs
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 y x) z))
(.f64 (.f64 x z) y)
(.f64 (.f64 y x) z)
(*.f64 x z)
x
z
y
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 (.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y
(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 (neg.f64 y)) z)
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
y
z
(*.f64 (sqrt.f64 (neg.f64 y)) x)
x

localize61.0ms (1.2%)

Memory

-9.1MiB live, 122.2MiB allocated; 16ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.13671875	(*.f64 (sqrt.f64 (neg.f64 y)) z)
accuracy	0.1953125	(*.f64 (sqrt.f64 (neg.f64 y)) x)
accuracy	2.1125249492612017	(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
accuracy	0.0	(*.f64 (neg.f64 z) x)
accuracy	0.0	(neg.f64 z)
accuracy	2.749522776951286	(.f64 (.f64 (neg.f64 z) x) y)
accuracy	32.2301759420533	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
accuracy	0.0	(*.f64 x z)
accuracy	2.749522776951286	(.f64 (.f64 x z) y)
accuracy	43.916768322028574	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))

Samples

41.0ms	208×	0	valid
8.0ms	48×	0	invalid

Compiler

Compiled 89 to 22 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 14.0ms (54.6% of total)

ival-pow2: 4.0ms (15.6% of total)

ival-sqrt: 3.0ms (11.7% of total)

ival-add: 2.0ms (7.8% of total)

ival-neg: 2.0ms (7.8% of total)

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

adjust: 0.0ms (0% of total)

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

series58.0ms (1.1%)

Memory

23.6MiB live, 74.0MiB allocated; 51ms collecting garbage

Counts

12 → 24

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))
(.f64 (.f64 x z) y)
(*.f64 x z)
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 (.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
(*.f64 (sqrt.f64 (neg.f64 y)) z)
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
(*.f64 (sqrt.f64 (neg.f64 y)) x)

Outputs
(* x (+ 1 (* y (* z (pow (sqrt -1) 2)))))
(* x (* y z))
(* x z)
(* -1 (* x (* y z)))
(* -1 (* x z))
(* (* x (sqrt -1)) (sqrt y))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1)))
x
(+ x (* x (* y (* z (pow (sqrt -1) 2)))))
(* (sqrt y) (* z (sqrt -1)))
(* (sqrt y) (sqrt -1))
(* -1 y)
(* x (* y (* z (pow (sqrt -1) 2))))
(* y (+ (* x (* z (pow (sqrt -1) 2))) (/ x y)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* (sqrt y) (* z (sqrt -1))))
(* -1 (* (sqrt y) (sqrt -1)))
(* -1 (* (* x (sqrt -1)) (sqrt y)))
(* -1 z)
(* z (+ (* x (* y (pow (sqrt -1) 2))) (/ x z)))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z)))))

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	y	@	0	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* x z) y) (* x z) (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* (neg z) x) y) (* (neg z) x) (neg z) (+ (* (* (sqrt (neg y)) z) (* (sqrt (neg y)) x)) x) (* (sqrt (neg y)) z) (sqrt (neg y)) (neg y) (* (sqrt (neg y)) x))
2.0ms	x	@	-inf	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* x z) y) (* x z) (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* (neg z) x) y) (* (neg z) x) (neg z) (+ (* (* (sqrt (neg y)) z) (* (sqrt (neg y)) x)) x) (* (sqrt (neg y)) z) (sqrt (neg y)) (neg y) (* (sqrt (neg y)) x))
2.0ms	x	@	0	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* x z) y) (* x z) (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* (neg z) x) y) (* (neg z) x) (neg z) (+ (* (* (sqrt (neg y)) z) (* (sqrt (neg y)) x)) x) (* (sqrt (neg y)) z) (sqrt (neg y)) (neg y) (* (sqrt (neg y)) x))
2.0ms	z	@	-inf	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* x z) y) (* x z) (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* (neg z) x) y) (* (neg z) x) (neg z) (+ (* (* (sqrt (neg y)) z) (* (sqrt (neg y)) x)) x) (* (sqrt (neg y)) z) (sqrt (neg y)) (neg y) (* (sqrt (neg y)) x))
2.0ms	x	@	inf	((+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* x z) y) (* x z) (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (* (* (neg z) x) y) (* (neg z) x) (neg z) (+ (* (* (sqrt (neg y)) z) (* (sqrt (neg y)) x)) x) (* (sqrt (neg y)) z) (sqrt (neg y)) (neg y) (* (sqrt (neg y)) x))

simplify181.0ms (3.6%)

Memory

-13.3MiB live, 172.0MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	185
1	198	149
2	682	142
3	1762	138
4	3845	138
5	6008	138
6	6542	138
7	6673	138
8	6899	138
9	7992	138
0	8032	136

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

Inputs
(* x (+ 1 (* y (* z (pow (sqrt -1) 2)))))
(* x (* y z))
(* x z)
(* -1 (* x (* y z)))
(* -1 (* x z))
(* (* x (sqrt -1)) (sqrt y))
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1)))
x
(+ x (* x (* y (* z (pow (sqrt -1) 2)))))
(* (sqrt y) (* z (sqrt -1)))
(* (sqrt y) (sqrt -1))
(* -1 y)
(* x (* y (* z (pow (sqrt -1) 2))))
(* y (+ (* x (* z (pow (sqrt -1) 2))) (/ x y)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* (sqrt y) (* z (sqrt -1))))
(* -1 (* (sqrt y) (sqrt -1)))
(* -1 (* (* x (sqrt -1)) (sqrt y)))
(* -1 z)
(* z (+ (* x (* y (pow (sqrt -1) 2))) (/ x z)))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z)))))

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

rewrite169.0ms (3.3%)

Memory

21.9MiB live, 213.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	90
0	35	85
1	101	81
2	535	69
3	3628	66
0	9209	63

Stop Event

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

Counts

12 → 437

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))
(.f64 (.f64 x z) y)
(*.f64 x z)
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 (.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
(*.f64 (sqrt.f64 (neg.f64 y)) z)
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
(*.f64 (sqrt.f64 (neg.f64 y)) x)

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

eval161.0ms (3.2%)

Memory: -8.2MiB live, 83.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 8 362 to 951 computations (88.6% saved)

prune39.0ms (0.8%)

Memory

-2.1MiB live, 43.6MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	375	3	378
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	376	9	385

Accuracy

100.0%

Counts

385 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	95.6%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
✓	47.4%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
✓	49.1%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
	38.4%	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (*.f64 (sqrt.f64 (neg.f64 y)) x)))
✓	51.1%	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
	49.2%	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z))
	2.2%	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 y x) z))
✓	2.2%	#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))

Compiler

Compiled 329 to 164 computations (50.2% saved)

regimes27.0ms (0.5%)

Memory

-15.2MiB live, 38.4MiB allocated; 6ms collecting garbage

Counts

12 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 y x) z))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (*.f64 (sqrt.f64 (neg.f64 y)) x)))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 y)) z) (.f64 (sqrt.f64 (neg.f64 y)) x) x)
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (neg.f64 y))) (sqrt.f64 (neg.f64 y)) x)

Outputs

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 (neg.f64 z) x) y))

(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 (neg.f64 z) x) y))

Calls

6 calls:

9.0ms	x
4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
4.0ms	y
4.0ms	z
3.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
99.9%	3	`(*.f64 y z)`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
98.2%	2	`x`
95.6%	1	`y`
95.6%	1	`z`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes16.0ms (0.3%)

Memory

-12.1MiB live, 33.6MiB allocated; 3ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 y x) z))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))

Outputs

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 (neg.f64 z) x) y))

(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 (neg.f64 z) x) y))

Calls

6 calls:

5.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
77.8%	3	`z`
82.5%	3	`y`
61.1%	4	`x`
83.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
96.5%	3	`(*.f64 y z)`
96.5%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 x z) y))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 y x) z))
#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z))

Outputs

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 (neg.f64 y) x) z))

(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 (neg.f64 y) x) z))

Calls

2 calls:

2.0ms	(*.f64 y z)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))

Results

Accuracy	Segments	Branch
94.6%	3	`(*.f64 y z)`
94.6%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Accuracy

Total -30.0b remaining (-92.1%)

Threshold costs -30b (-92.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 x z) y))

#s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (*.f64 (*.f64 y x) z))

Outputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Calls

6 calls:

1.0ms	y
1.0ms	z
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
1.0ms	x
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
49.1%	1	`x`
49.1%	1	`z`
49.1%	1	`y`
49.1%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
49.1%	1	`(*.f64 y z)`
49.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0906852816023452e+223	1.6491198624349079e+226
0.0ms	-2.3163885816052585e+280	-3.144103126530108e+276

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000001718	434233.16156039276
0.0ms	-33935.92098763353	0.9999759709650976

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000001718	434233.16156039276
0.0ms	-33935.92098763353	0.9999759709650976

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify57.0ms (1.1%)

Memory

-31.5MiB live, 60.2MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	151
1	76	151
2	135	151
3	323	151
4	846	151
5	1322	151
6	1527	151
7	1529	151
8	1529	151
9	1944	151
10	2237	151
11	2237	151
12	2237	151

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000000000000000655644919657241964971414105660429871285266671548818852063947486718558687573448235861076349951636483016374032693538213913919879822025860850422495576084912401316305465447102991929806570978250206012581852027848896713042618971296520092441575713536217102114025294004224 binary64)) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 40000000000000001864072286992827902736203432397975074456839218320747311252923451982910708488567828492841359063839419594612690466640275923654424883899705737623497205094692648875979488235802209533058389430862409711374198374400 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000 binary64)) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000 binary64)) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000000000000000655644919657241964971414105660429871285266671548818852063947486718558687573448235861076349951636483016374032693538213913919879822025860850422495576084912401316305465447102991929806570978250206012581852027848896713042618971296520092441575713536217102114025294004224 binary64)) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 40000000000000001864072286992827902736203432397975074456839218320747311252923451982910708488567828492841359063839419594612690466640275923654424883899705737623497205094692648875979488235802209533058389430862409711374198374400 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000000000000000655644919657241964971414105660429871285266671548818852063947486718558687573448235861076349951636483016374032693538213913919879822025860850422495576084912401316305465447102991929806570978250206012581852027848896713042618971296520092441575713536217102114025294004224 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 40000000000000001864072286992827902736203432397975074456839218320747311252923451982910708488567828492841359063839419594612690466640275923654424883899705737623497205094692648875979488235802209533058389430862409711374198374400 binary64)))) #s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000 binary64)) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)))) #s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 z) x) y)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000 binary64)) #s(approx (+ ( (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -20000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)))) #s(approx (+ (* (sqrt (* (pow (* z x) 2) (neg y))) (sqrt (neg y))) x) (.f64 (.f64 (neg.f64 y) x) z)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

derivations1.1s (20.6%)

Memory

8.3MiB live, 769.7MiB allocated; 244ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	26	65
1	85	65
2	395	65
3	3822	65
0	8554	59
0	24	90
0	35	85
1	101	81
2	535	69
3	3628	66
0	9209	63
0	43	82
1	144	82
2	379	82
3	1023	82
4	2458	82
5	5906	82
6	7796	82
0	8434	82
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13
0	50	154
1	163	114
2	635	107
3	1949	103
4	4453	103
5	6889	103
0	8068	101

Stop Event

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

Compiler

Compiled 151 to 44 computations (70.9% saved)

preprocess143.0ms (2.8%)

Memory: 39.9MiB live, 134.2MiB allocated; 61ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 592 to 264 computations (55.4% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Iter	Nodes	Cost
0	16	80
0	26	80
1	46	80
2	85	80
3	142	80
4	187	80
5	209	80
6	237	80
7	343	80
8	602	80
9	790	80
10	796	80
0	796	80

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Iter	Nodes	Cost
0	16	80
0	26	80
1	46	80
2	85	80
3	142	80
4	187	80
5	209	80
6	237	80
7	343	80
8	602	80
9	790	80
10	796	80
0	796	80

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (21.5%)

explain97.0ms (1.9%)

preprocess61.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.5%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

simplify198.0ms (3.9%)

rewrite213.0ms (4.2%)

eval94.0ms (1.8%)

prune41.0ms (0.8%)

simplify19.0ms (0.4%)

localize37.0ms (0.7%)

series12.0ms (0.2%)

simplify271.0ms (5.3%)

rewrite199.0ms (3.9%)

eval69.0ms (1.4%)

prune7.0ms (0.1%)

simplify47.0ms (0.9%)

localize59.0ms (1.2%)

series49.0ms (1%)

simplify173.0ms (3.4%)

rewrite144.0ms (2.8%)

eval36.0ms (0.7%)

prune5.0ms (0.1%)

simplify146.0ms (2.9%)

localize61.0ms (1.2%)

series58.0ms (1.1%)

simplify181.0ms (3.6%)

rewrite169.0ms (3.3%)

eval161.0ms (3.2%)

prune39.0ms (0.8%)

regimes27.0ms (0.5%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify57.0ms (1.1%)

derivations1.1s (20.6%)

preprocess143.0ms (2.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Iter	Nodes	Cost
0	16	80
0	26	80
1	46	80
2	85	80
3	142	80
4	187	80
5	209	80
6	237	80
7	343	80
8	602	80
9	790	80
10	796	80
0	796	80