Metrics for Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, B

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.4s (15.5%)

Memory

9.1MiB live, 1 789.0MiB allocated; 429ms collecting garbage

Samples

890.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 462.0ms

ival-mult: 335.0ms (72.6% of total)

ival-sub: 112.0ms (24.3% of total)

ival-true: 5.0ms (1.1% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain209.0ms (2.3%)

Memory

24.2MiB live, 209.4MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
10	-	-	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
0	-	-	`t`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`z`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`(-.f64 (*.f64 z z) t)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	*no**	17	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	10	0
↳	`(*.f64 x x)`	overflow	67
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	72
↳	`(-.f64 (*.f64 z z) t)`	overflow	54
↳	`(*.f64 z z)`	overflow	54

Confusion

	Predicted +	Predicted -
+	23	0
-	4	229

Precision

0.8518518518518519

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	0
-	4	0	229

Precision?

0.8518518518518519

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sub: 30.0ms (60.8% of total)

ival-mult: 18.0ms (36.5% 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)

preprocess79.0ms (0.9%)

Memory

-8.5MiB live, 36.7MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	190
1	141	188
2	384	188
3	922	184
4	1540	184
5	1634	184
0	11	13
0	17	13
1	32	13
2	83	13
3	184	13
4	279	13
5	325	13
0	325	12

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))

Symmetry

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
cost-diff	0	(*.f64 x x)
cost-diff	1	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	17	41
1	32	41
2	83	41
3	184	41
4	279	41
5	325	41
0	325	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

localize50.0ms (0.6%)

Memory

-28.8MiB live, 32.9MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	2.1992104933208236	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	4.045795242943465	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

44.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 30.0ms (92.6% of total)

ival-sub: 2.0ms (6.2% 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)

series11.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

5 → 31

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
(-.f64 (*.f64 z z) t)

Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 t)
(- (pow z 2) t)
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	x	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	z	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))

simplify180.0ms (2%)

Memory

22.1MiB live, 262.1MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	339
1	238	325
2	840	324
3	4346	322
0	8161	303

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 t)
(- (pow z 2) t)
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))

Outputs
(* -4 (* y (- (pow z 2) t)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 (.f64 z z) t) x)) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* 4 (* y (- (pow z 2) t)))
(.f64 #s(literal 4 binary64) (.f64 (-.f64 (*.f64 z z) t) y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(.f64 (fma.f64 (fma.f64 (neg.f64 z) z t) #s(literal 4 binary64) (/.f64 (.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(.f64 (fma.f64 (fma.f64 (neg.f64 z) z t) #s(literal 4 binary64) (/.f64 (.f64 x x) y)) y)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* -4 (* t y))
(.f64 (.f64 t y) #s(literal -4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 #s(literal 4 binary64) (.f64 (-.f64 (*.f64 z z) t) y))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) (.f64 z z))) (*.f64 z z))
(* 4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal 4 binary64))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (.f64 y (fma.f64 (/.f64 t (.f64 z z)) #s(literal -4 binary64) #s(literal 4 binary64))) (.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* 4 (* t y))
(.f64 (.f64 t y) #s(literal 4 binary64))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(.f64 (.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)
(* t (- (/ (pow z 2) t) 1))
(.f64 (-.f64 (/.f64 (.f64 z z) t) #s(literal 1 binary64)) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(.f64 (.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)

rewrite152.0ms (1.7%)

Memory

-6.3MiB live, 275.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	17	33
1	60	33
2	456	33
3	5736	33
0	8267	32

Stop Event

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

Counts

5 → 216

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
(-.f64 (*.f64 z z) t)

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
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(.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 z z t) t) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z t) t) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(.f64 (fma.f64 z z t) (/.f64 (-.f64 (.f64 z z) t) (fma.f64 z z t)))
(.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 z z) t) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 2 binary64)) (pow.f64 (.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (.f64 t (/.f64 t (fma.f64 z z t)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 3 binary64)) (pow.f64 (.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (.f64 t (/.f64 t (fma.f64 z z t)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 t t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z t))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (.f64 (fma.f64 z z t) (*.f64 t t))) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 t #s(literal 4 binary64))) (*.f64 (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 t t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))) (fma.f64 z z t)))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 t #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 12 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 z z t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))
(neg.f64 (neg.f64 (-.f64 (*.f64 z z) t)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 t (-.f64 t (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 z z) t) (/.f64 (.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (neg.f64 z) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (.f64 (neg.f64 z) z) (/.f64 (.f64 (neg.f64 z) z) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (neg.f64 z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 t (/.f64 t (fma.f64 z z t))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (*.f64 z z) t)
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))

eval83.0ms (0.9%)

Memory: -25.8MiB live, 121.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 757 to 688 computations (89.8% saved)

prune7.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	231	8	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	232	8	240

Accuracy

97.1%

Counts

240 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.4%	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
▶	88.7%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
	85.4%	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)))
▶	68.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
▶	72.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
	60.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
	36.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶	32.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))

Compiler

Compiled 338 to 252 computations (25.4% saved)

simplify134.0ms (1.5%)

Memory

-27.6MiB live, 70.0MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
cost-diff	0	(*.f64 x x)
cost-diff	1	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
cost-diff	3	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 t y)
cost-diff	0	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(*.f64 t y)
cost-diff	0	(.f64 (.f64 t y) #s(literal 4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(*.f64 z z)
cost-diff	0	(-.f64 (*.f64 z z) t)
cost-diff	0	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	233
0	52	230
1	96	227
2	257	227
3	709	227
4	1417	224
5	2292	218
6	4361	218
7	5469	218
8	6177	218
9	6547	218
0	8048	217

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
(.f64 (.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(*.f64 t y)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(.f64 (.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)

Outputs
(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (fma.f64 z (neg.f64 z) t) (.f64 #s(literal 4 binary64) y) (.f64 x x))
(-.f64 (*.f64 z z) t)
(fma.f64 z z (neg.f64 t))
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal 4 binary64)))
(.f64 (.f64 t y) #s(literal 4 binary64))
(.f64 (.f64 y t) #s(literal 4 binary64))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 z (.f64 z (.f64 y #s(literal -4 binary64))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 z (.f64 z (.f64 y #s(literal -4 binary64))) (*.f64 x x))
(.f64 (.f64 z z) y)
(.f64 z (.f64 z y))
(*.f64 z z)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(fma.f64 #s(approx (- (* z z) t) (fma.f64 z z (neg.f64 t))) (.f64 y #s(literal -4 binary64)) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(.f64 #s(approx (- ( z z) t) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
#s(approx (- (* z z) t) (fma.f64 z z (neg.f64 t)))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 z z (neg.f64 t))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(fma.f64 z (/.f64 z t) #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)

localize94.0ms (1.1%)

Memory

21.4MiB live, 104.8MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	2.1992104933208236	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
accuracy	3.5697100545560443	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
accuracy	4.045795242943465	(.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
accuracy	0.0	(*.f64 x x)
accuracy	1.8538371889194711	(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
accuracy	8.05079162944181	(.f64 (.f64 z z) y)
accuracy	15.323026883248607	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 t y)
accuracy	0.857751695598648	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
accuracy	16.633653089883513	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
accuracy	0.0	(*.f64 t y)
accuracy	0.010097509768442016	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	43.042482246268705	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	4.5870012397341196	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))

Samples

63.0ms

256×

valid

Compiler

Compiled 187 to 28 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 37.0ms (80.9% of total)

ival-add: 4.0ms (8.7% of total)

ival-sub: 2.0ms (4.4% of total)

ival-div: 2.0ms (4.4% 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)

series38.0ms (0.4%)

Memory

-9.9MiB live, 34.5MiB allocated; 10ms collecting garbage

Counts

17 → 55

Calls

Call 1

Inputs
(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
(.f64 (.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(.f64 (.f64 z z) y)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))

Outputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* -4 y)
(* t y)
(* y (pow z 2))
(* 4 (* y (- (pow z 2) t)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(+ (* -1 t) (pow z 2))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
-1
(- (/ (pow z 2) t) 1)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(/ (+ (* -1 t) (pow z 2)) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	t	@	inf	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
5.0ms	t	@	-inf	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
3.0ms	x	@	0	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
2.0ms	y	@	-inf	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
2.0ms	y	@	inf	((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))

simplify262.0ms (2.9%)

Memory

-5.7MiB live, 165.7MiB allocated; 112ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	581
1	430	566
2	1554	566
3	5868	566
0	8049	531

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

Inputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* -4 y)
(* t y)
(* y (pow z 2))
(* 4 (* y (- (pow z 2) t)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(+ (* -1 t) (pow z 2))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
-1
(- (/ (pow z 2) t) 1)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(/ (+ (* -1 t) (pow z 2)) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))

Outputs
(* -4 (* y (- (pow z 2) t)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* 4 (* t y))
(.f64 (.f64 y t) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) x) (/.f64 z x) #s(literal 1 binary64)) (.f64 x x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* t y)
(*.f64 y t)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* 4 (* y (- (pow z 2) t)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(.f64 (fma.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(.f64 (fma.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (+ (* 4 t) (/ (pow x 2) y)))
(.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (.f64 x x) y)) y)
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(.f64 (fma.f64 (.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(.f64 (fma.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(.f64 (fma.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(.f64 (fma.f64 (.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(pow z 2)
(*.f64 z z)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* -4 (* t y))
(.f64 (.f64 #s(literal -4 binary64) t) y)
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
-1
#s(literal -1 binary64)
(- (/ (pow z 2) t) 1)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x)) z) z)) (.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x)) z) z)) (.f64 z z))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (.f64 #s(literal -4 binary64) y)) (*.f64 z z))
(* 4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) #s(literal 4 binary64)) y)
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y))) (.f64 z z))
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (.f64 z z))) (*.f64 z z))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(/ (+ (* -1 t) (pow z 2)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)

rewrite286.0ms (3.2%)

Memory

13.1MiB live, 346.1MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	176
0	52	176
1	179	173
2	1374	173
0	8579	172

Stop Event

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

Counts

17 → 411

Calls

Call 1

Inputs
(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
(.f64 (.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(.f64 (.f64 z z) y)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 (neg.f64 x) x))) (/.f64 (.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 (neg.f64 x) x)))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 (neg.f64 x) x))))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))) (.f64 (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 z t) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) t) #s(literal -1 binary64))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(fma.f64 z (/.f64 z t) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 z t) z))) (/.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z t) z))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z t)) z))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 z t) z) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 z t) z))

eval126.0ms (1.4%)

Memory: -3.4MiB live, 222.6MiB allocated; 34ms collecting garbage
Compiler: Compiled 21 862 to 1 856 computations (91.5% saved)

prune19.0ms (0.2%)

Memory

17.7MiB live, 63.6MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	521	4	525
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	526	7	533

Accuracy

100.0%

Counts

533 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
	73.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
▶	73.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
▶	60.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶	36.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓	32.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
▶	32.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))

Compiler

Compiled 289 to 215 computations (25.6% saved)

simplify118.0ms (1.3%)

Memory

-26.6MiB live, 137.7MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 z z) t)
cost-diff	0	(.f64 (-.f64 (.f64 z z) t) y)
cost-diff	0	(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 t #s(literal 4 binary64))
cost-diff	0	(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
cost-diff	0	(*.f64 t #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 t #s(literal 4 binary64)) y)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
cost-diff	0	#s(approx (* (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
cost-diff	3	(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	255
0	48	255
1	94	255
2	252	255
3	735	255
4	2056	252
5	4306	246
6	7060	246
0	8342	242

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
(*.f64 x x)
x
#s(approx (* (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t))
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(.f64 y (fma.f64 (/.f64 (.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64)))
y
(fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))
(/.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
(.f64 (.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(.f64 (.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(.f64 (-.f64 (.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
y
#s(literal -4 binary64)

Outputs
(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 #s(literal 4 binary64) y))))
(*.f64 x x)
x
#s(approx (* (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t))
#s(approx (* (* y 4) (- (* z z) t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(.f64 (fma.f64 z z (neg.f64 t)) (.f64 #s(literal 4 binary64) y))
(.f64 y (fma.f64 (/.f64 (.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64)))
(.f64 (fma.f64 (/.f64 (.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64)) y)
y
(fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))
(/.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
(.f64 (.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(.f64 (.f64 (*.f64 z y) z) #s(literal -4 binary64))
(.f64 (.f64 z z) y)
(.f64 (.f64 z y) z)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(.f64 (-.f64 (.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
y
#s(literal -4 binary64)

localize82.0ms (0.9%)

Memory

-2.3MiB live, 183.7MiB allocated; 25ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	4.053476300363636	(.f64 (-.f64 (.f64 z z) t) y)
accuracy	24.608168090357495	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 t #s(literal 4 binary64))
accuracy	0.24999724760556022	(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
accuracy	16.633653089883513	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
accuracy	0.0	(*.f64 z z)
accuracy	0.010097509768442016	(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy	8.05079162944181	(.f64 (.f64 z z) y)
accuracy	39.85518063385356	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy	0.0	(.f64 (.f64 t #s(literal 4 binary64)) y)
accuracy	0.0	(*.f64 t #s(literal 4 binary64))
accuracy	43.042482246268705	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
accuracy	2.1992104933208236	(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
accuracy	2.3851986428732492	(.f64 y (fma.f64 (/.f64 (.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64)))
accuracy	5.815940023211385	(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
accuracy	6.432032142618564	(/.f64 (*.f64 z z) t)

Samples

63.0ms

256×

valid

Compiler

Compiled 202 to 26 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 24.0ms (76.3% of total)

ival-sub: 2.0ms (6.4% of total)

ival-div: 2.0ms (6.4% of total)

ival-add: 2.0ms (6.4% 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)

series32.0ms (0.4%)

Memory

-15.3MiB live, 82.8MiB allocated; 17ms collecting garbage

Counts

19 → 56

Calls

Call 1

Inputs
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
(*.f64 x x)
#s(approx (* (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
(.f64 (.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(.f64 (.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(.f64 (-.f64 (.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(/.f64 (*.f64 z z) t)
(.f64 y (fma.f64 (/.f64 (.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64)))

Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* t (* y (- (* 4 (/ (pow z 2) t)) 4)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y (- (pow z 2) t))
(* y (- (* 4 (/ (pow z 2) t)) 4))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(/ (pow z 2) t)
(* -4 y)
(+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* 4 (/ (* y (pow z 2)) t))
(* (pow z 2) (+ (* -4 (/ y (pow z 2))) (* 4 (/ y t))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(+ (* -1 t) (pow z 2))
(/ (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) t)
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((* (* y (+ (* (/ (* z z) t) 4) -4)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (/ (* z z) t) (* y (+ (* (/ (* z z) t) 4) -4)))
6.0ms	t	@	-inf	((* (* y (+ (* (/ (* z z) t) 4) -4)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (/ (* z z) t) (* y (+ (* (/ (* z z) t) 4) -4)))
3.0ms	y	@	0	((* (* y (+ (* (/ (* z z) t) 4) -4)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (/ (* z z) t) (* y (+ (* (/ (* z z) t) 4) -4)))
3.0ms	y	@	inf	((* (* y (+ (* (/ (* z z) t) 4) -4)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (/ (* z z) t) (* y (+ (* (/ (* z z) t) 4) -4)))
2.0ms	z	@	inf	((* (* y (+ (* (/ (* z z) t) 4) -4)) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (/ (* z z) t) (* y (+ (* (/ (* z z) t) 4) -4)))

simplify139.0ms (1.5%)

Memory

41.4MiB live, 229.1MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	604
1	418	581
2	1504	576
3	5814	576
0	8241	545

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* t (* y (- (* 4 (/ (pow z 2) t)) 4)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y (- (pow z 2) t))
(* y (- (* 4 (/ (pow z 2) t)) 4))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(/ (pow z 2) t)
(* -4 y)
(+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* 4 (/ (* y (pow z 2)) t))
(* (pow z 2) (+ (* -4 (/ y (pow z 2))) (* 4 (/ y t))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(+ (* -1 t) (pow z 2))
(/ (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) t)
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))

Outputs
(* -4 (* y (- (pow z 2) t)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 4 (* t y))
(.f64 (.f64 t y) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t #s(literal 1 binary64)) (.f64 x x))
(* t (* y (- (* 4 (/ (pow z 2) t)) 4)))
(.f64 (.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 z t) #s(literal -4 binary64))) t)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* 4 (* y (- (pow z 2) t)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (- (pow z 2) t))
(.f64 (-.f64 (.f64 z z) t) y)
(* y (- (* 4 (/ (pow z 2) t)) 4))
(.f64 y (fma.f64 (.f64 #s(literal 4 binary64) z) (/.f64 z t) #s(literal -4 binary64)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(.f64 (fma.f64 (fma.f64 (neg.f64 z) z t) #s(literal 4 binary64) (/.f64 (.f64 x x) y)) y)
(* y (+ (* 4 t) (/ (pow x 2) y)))
(.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(.f64 (fma.f64 (fma.f64 (neg.f64 z) z t) #s(literal 4 binary64) (/.f64 (.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (.f64 x x) y)) y)
(* -4 (* t y))
(.f64 (.f64 #s(literal -4 binary64) t) y)
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(pow z 2)
(*.f64 z z)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t y))
(*.f64 (neg.f64 y) t)
(+ (* -1 (* t y)) (* y (pow z 2)))
(.f64 (-.f64 (.f64 z z) t) y)
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))
(.f64 y (fma.f64 (.f64 #s(literal 4 binary64) z) (/.f64 z t) #s(literal -4 binary64)))
(* 4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal 4 binary64))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) z) z)) (.f64 z z))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(.f64 (.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y))) (.f64 z z))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 t z) y) (.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(* 4 (/ (* y (pow z 2)) t))
(.f64 (.f64 (/.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* (pow z 2) (+ (* -4 (/ y (pow z 2))) (* 4 (/ y t))))
(.f64 (.f64 (-.f64 (/.f64 y (.f64 z z)) (/.f64 y t)) #s(literal -4 binary64)) (.f64 z z))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* 4 t)
(*.f64 #s(literal 4 binary64) t)
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(/ (+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) t)
(.f64 #s(literal -4 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) t))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(.f64 (.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 z t) #s(literal -4 binary64))) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* t (+ (* 4 y) (/ (pow x 2) t)))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 x x) t)) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
(* t (- (/ (pow z 2) t) 1))
(.f64 (-.f64 (/.f64 (.f64 z z) t) #s(literal 1 binary64)) t)
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(.f64 (.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 z t) #s(literal -4 binary64))) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 x x) t)) t)
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)

rewrite279.0ms (3.1%)

Memory

-36.8MiB live, 254.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	215
0	48	215
1	159	215
2	1074	215
0	9218	211

Stop Event

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

Counts

19 → 363

Calls

Call 1

Inputs
(.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
(*.f64 x x)
#s(approx (* (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
(.f64 (.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(.f64 (.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(.f64 (-.f64 (.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(/.f64 (*.f64 z z) t)
(.f64 y (fma.f64 (/.f64 (.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64)))

Outputs
(.f64 (.f64 t y) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t) #s(literal -4 binary64)))
(.f64 (.f64 y t) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t) #s(literal -4 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t) #s(literal -4 binary64)) t) y)
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t) #s(literal -4 binary64)) y) t)
(.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t) #s(literal -4 binary64)) (*.f64 y t))
(.f64 t (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
(.f64 y (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t) #s(literal -4 binary64)) t))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) t) (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) t)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) t) (.f64 (*.f64 #s(literal -4 binary64) y) t)))
(/.f64 (-.f64 (.f64 (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y)) (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y))) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64))) (-.f64 (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y)) (.f64 (*.f64 #s(literal -4 binary64) y) t)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) t) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) t) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) t) (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) t) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) t) (.f64 (*.f64 #s(literal -4 binary64) y) t)))))
(/.f64 (+.f64 (pow.f64 (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) t) #s(literal 3 binary64))) (fma.f64 (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y)) (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y)) (.f64 (*.f64 #s(literal -4 binary64) y) t)))))
(fma.f64 (.f64 t (neg.f64 y)) #s(literal 4 binary64) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) (*.f64 t y)))
(fma.f64 (.f64 t (neg.f64 y)) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t)) y) t))
(fma.f64 (.f64 t (neg.f64 y)) #s(literal 4 binary64) (.f64 t (.f64 (.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t)) y)))
(fma.f64 (.f64 t (.f64 y (/.f64 (.f64 z z) t))) #s(literal 4 binary64) (.f64 (*.f64 #s(literal -4 binary64) y) t))
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(fma.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y (*.f64 #s(literal -4 binary64) y))
(fma.f64 (.f64 (.f64 z z) y) (/.f64 #s(literal 4 binary64) t) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -4 binary64)))
(fma.f64 (.f64 (.f64 z z) y) (/.f64 #s(literal 4 binary64) t) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (.f64 #s(literal 4 binary64) y) (/.f64 (.f64 z z) t) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -4 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) y) (/.f64 (.f64 z z) t) (*.f64 #s(literal -4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (.f64 (.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t)) y))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 z z) t) y) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -4 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 z z) t) y) (*.f64 #s(literal -4 binary64) y))
(fma.f64 #s(literal 4 binary64) (neg.f64 y) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t)) y))
(fma.f64 (/.f64 (.f64 z z) t) (.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -4 binary64)))
(fma.f64 (/.f64 (.f64 z z) t) (.f64 #s(literal 4 binary64) y) (*.f64 #s(literal -4 binary64) y))
(fma.f64 y (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) #s(literal 3 binary64)) (fma.f64 (+.f64 (pow.f64 (/.f64 (.f64 z z) t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (/.f64 (.f64 z z) t)))) (.f64 y (/.f64 #s(literal -64 binary64) (fma.f64 (+.f64 (pow.f64 (/.f64 (.f64 z z) t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (/.f64 (*.f64 z z) t))))))
(fma.f64 y (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -4 binary64)))
(fma.f64 y (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 y #s(literal -4 binary64) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t)) y))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) #s(literal 2 binary64)) (.f64 y (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) #s(literal -4 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 y (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (*.f64 z z) t)) #s(literal -4 binary64)))))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (/.f64 (.f64 (neg.f64 z) z) t) (.f64 #s(literal 4 binary64) y)))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (neg.f64 (.f64 y (/.f64 (.f64 z z) t))) #s(literal 4 binary64)))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 z z) t)) y))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (.f64 z z) t)))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 #s(literal -4 binary64) (.f64 (/.f64 (.f64 z z) t) y)))
(-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t))))
(-.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) (.f64 #s(literal 4 binary64) y))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) #s(literal 3 binary64)) (fma.f64 (+.f64 (pow.f64 (/.f64 (.f64 z z) t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (/.f64 (.f64 z z) t)))) y) (.f64 (/.f64 #s(literal -64 binary64) (fma.f64 (+.f64 (pow.f64 (/.f64 (.f64 z z) t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (/.f64 (.f64 z z) t)))) y))
(+.f64 (.f64 y (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) #s(literal 3 binary64)) (fma.f64 (+.f64 (pow.f64 (/.f64 (.f64 z z) t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (/.f64 (.f64 z z) t))))) (.f64 y (/.f64 #s(literal -64 binary64) (fma.f64 (+.f64 (pow.f64 (/.f64 (.f64 z z) t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (/.f64 (.f64 z z) t))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -4 binary64) y) (-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y))))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -4 binary64) y) (-.f64 (.f64 #s(literal -4 binary64) y) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y))))))
(+.f64 (.f64 #s(literal -4 binary64) y) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) (.f64 (neg.f64 (neg.f64 y)) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) t)) y) (.f64 #s(literal -4 binary64) y))

eval133.0ms (1.5%)

Memory: 36.4MiB live, 175.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 17 100 to 1 764 computations (89.7% saved)

prune65.0ms (0.7%)

Memory

-12.9MiB live, 79.2MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	450	2	452
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	452	7	459

Accuracy

100.0%

Counts

459 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
✓	60.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	36.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
✓	32.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	32.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
▶	56.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))

Compiler

Compiled 159 to 116 computations (27% saved)

simplify236.0ms (2.6%)

Memory

-4.0MiB live, 245.3MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) z) y)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
cost-diff	0	#s(approx (* (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t))
cost-diff	0	(.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
cost-diff	3	(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	34	143
1	65	143
2	154	143
3	371	143
4	905	143
5	2337	131
6	4077	131
7	4996	131
8	6236	131
0	8003	129

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
(.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64))
#s(approx (* (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t))
(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) #s(approx ( (- (* z z) t) y) (.f64 (-.f64 (.f64 z z) t) y))))
(.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) #s(approx ( (- (* z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)))
#s(approx (* (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t))
#s(approx (* (- (* z z) t) y) (.f64 (-.f64 (.f64 z z) t) y))
(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
(.f64 (-.f64 (.f64 z z) t) y)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y

localize96.0ms (1.1%)

Memory

9.6MiB live, 56.7MiB allocated; 3ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 #s(literal -4 binary64) z) y)
accuracy	0.0	(*.f64 #s(literal -4 binary64) z)
accuracy	0.08984375	(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)
accuracy	39.85518063385356	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
accuracy	0.06640625	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	2.3858593441788676	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
accuracy	5.827955972328497	(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
accuracy	24.608168090357495	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))

Samples

84.0ms

256×

valid

Compiler

Compiled 97 to 25 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 67.0ms (92.6% of total)

ival-sub: 2.0ms (2.8% of total)

ival-div: 2.0ms (2.8% of total)

ival-add: 1.0ms (1.4% 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)

series36.0ms (0.4%)

Memory

-9.2MiB live, 37.2MiB allocated; 3ms collecting garbage

Counts

10 → 41

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
(.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64))
#s(approx (* (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))

Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* t (* y (- (/ (pow z 2) t) 1)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* y (- (pow z 2) t))
(* -4 (* y (pow z 2)))
(* -4 (* y z))
(* y (- (/ (pow z 2) t) 1))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* 4 (* t y))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* -4 z)
(* -1 y)
(+ (* -1 y) (/ (* y (pow z 2)) t))
-1
(- (/ (pow z 2) t) 1)
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(/ (* y (pow z 2)) t)
(* (pow z 2) (+ (* -1 (/ y (pow z 2))) (/ y t)))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(/ (+ (* -1 (* t y)) (* y (pow z 2))) t)
(/ (+ (* -1 t) (pow z 2)) t)
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* -4 z) y) z) (* (* -4 z) y) (* -4 z) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1))
3.0ms	y	@	-inf	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* -4 z) y) z) (* (* -4 z) y) (* -4 z) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1))
2.0ms	y	@	0	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* -4 z) y) z) (* (* -4 z) y) (* -4 z) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1))
2.0ms	z	@	inf	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* -4 z) y) z) (* (* -4 z) y) (* -4 z) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1))
2.0ms	z	@	0	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* -4 z) y) z) (* (* -4 z) y) (* -4 z) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1))

simplify301.0ms (3.3%)

Memory

6.1MiB live, 195.4MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	405
1	298	396
2	999	393
3	4774	389
0	8177	371

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* t (* y (- (/ (pow z 2) t) 1)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* y (- (pow z 2) t))
(* -4 (* y (pow z 2)))
(* -4 (* y z))
(* y (- (/ (pow z 2) t) 1))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* 4 (* t y))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* -4 z)
(* -1 y)
(+ (* -1 y) (/ (* y (pow z 2)) t))
-1
(- (/ (pow z 2) t) 1)
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(/ (* y (pow z 2)) t)
(* (pow z 2) (+ (* -1 (/ y (pow z 2))) (/ y t)))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(/ (+ (* -1 (* t y)) (* y (pow z 2))) t)
(/ (+ (* -1 t) (pow z 2)) t)
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))

Outputs
(* -4 (* y (- (pow z 2) t)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 (.f64 z z) t) x)) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
(* t (* y (- (/ (pow z 2) t) 1)))
(.f64 (-.f64 (.f64 z z) t) y)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* y (- (pow z 2) t))
(.f64 (-.f64 (.f64 z z) t) y)
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) z) y)
(* -4 (* y z))
(.f64 (.f64 y z) #s(literal -4 binary64))
(* y (- (/ (pow z 2) t) 1))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(.f64 (fma.f64 (/.f64 x y) x (.f64 (fma.f64 (neg.f64 z) z t) #s(literal 4 binary64))) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(.f64 (fma.f64 (/.f64 x y) x (.f64 (fma.f64 (neg.f64 z) z t) #s(literal 4 binary64))) y)
(* -1 (* t y))
(*.f64 (neg.f64 t) y)
(+ (* -1 (* t y)) (* y (pow z 2)))
(.f64 (-.f64 (.f64 z z) t) y)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* t y))
(.f64 (.f64 y t) #s(literal 4 binary64))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (/ (* y (pow z 2)) t))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (/ (pow z 2) t) 1)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(* y (pow z 2))
(.f64 (.f64 y z) z)
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 t z) y) (.f64 z z))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)) z) z)) (.f64 z z))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 t z) y)) z)
(/ (* y (pow z 2)) t)
(.f64 (/.f64 (.f64 z z) t) y)
(* (pow z 2) (+ (* -1 (/ y (pow z 2))) (/ y t)))
(.f64 (.f64 (-.f64 (/.f64 y t) (/.f64 y (*.f64 z z))) z) z)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (.f64 z z))) (*.f64 z z))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (.f64 (-.f64 (.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(/ (+ (* -1 (* t y)) (* y (pow z 2))) t)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
(/ (+ (* -1 t) (pow z 2)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(.f64 (-.f64 (.f64 z z) t) y)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (/.f64 (.f64 x x) t) t (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(.f64 (-.f64 (.f64 z z) t) y)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (/.f64 (.f64 x x) t) t (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))

rewrite206.0ms (2.3%)

Memory

16.4MiB live, 202.9MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	132
0	34	132
1	108	132
2	683	132
0	8118	130

Stop Event

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

Counts

10 → 164

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
(.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64))
#s(approx (* (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))

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

eval43.0ms (0.5%)

Memory: -17.7MiB live, 85.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 8 886 to 1 093 computations (87.7% saved)

prune13.0ms (0.1%)

Memory

-4.6MiB live, 41.6MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	192	7	199

Accuracy

100.0%

Counts

199 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
✓	60.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	36.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓	37.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
✓	32.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	56.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
	48.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Compiler

Compiled 502 to 187 computations (62.7% saved)

regimes83.0ms (0.9%)

Memory

21.1MiB live, 112.9MiB allocated; 11ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (- (* z z) t) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)))
(-.f64 (.f64 x x) #s(approx ( (* y 4) (- (* z z) t)) (.f64 (.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) #s(approx (- ( z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))

Outputs
(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))

Calls

10 calls:

39.0ms	(*.f64 x x)
7.0ms	z
5.0ms	t
5.0ms	y
5.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
97.2%	2	`(*.f64 z z)`
97.2%	2	`(-.f64 (*.f64 z z) t)`
92.4%	1	`(*.f64 y #s(literal 4 binary64))`
92.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
94.4%	2	`(*.f64 x x)`
94.4%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
94.4%	2	`x`
92.4%	1	`y`
97.2%	2	`z`
92.4%	1	`t`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes56.0ms (0.6%)

Memory

-25.0MiB live, 74.8MiB allocated; 10ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))

Outputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))

Calls

10 calls:

19.0ms	z
11.0ms	y
3.0ms	(*.f64 z z)
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	t

Results

Accuracy	Segments	Branch
83.4%	5	`(*.f64 y #s(literal 4 binary64))`
86.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
83.4%	5	`y`
87.7%	4	`t`
88.9%	2	`(*.f64 x x)`
88.4%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
88.9%	2	`x`
88.5%	2	`(-.f64 (*.f64 z z) t)`
91.8%	2	`(*.f64 z z)`
91.8%	2	`z`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes11.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))

Outputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
88.9%	2	`(*.f64 x x)`
88.9%	2	`x`
86.4%	2	`(*.f64 z z)`
86.4%	2	`z`

Compiler

Compiled 8 to 18 computations (-125% saved)

regimes29.0ms (0.3%)

Memory

-10.4MiB live, 36.6MiB allocated; 5ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))

Outputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) z))

Calls

6 calls:

16.0ms	x
2.0ms	z
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
85.8%	2	`(*.f64 z z)`
85.8%	2	`z`
78.5%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
82.2%	2	`(-.f64 (*.f64 z z) t)`
78.1%	2	`(*.f64 x x)`
81.1%	3	`x`

Compiler

Compiled 26 to 35 computations (-34.6% saved)

regimes29.0ms (0.3%)

Memory

6.3MiB live, 52.8MiB allocated; 4ms collecting garbage

Counts

5 → 4

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

10 calls:

11.0ms	t
2.0ms	x
2.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 (*.f64 z z) t)

Results

Accuracy	Segments	Branch
71.7%	3	`(*.f64 x x)`
65.9%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
56.0%	4	`(*.f64 y #s(literal 4 binary64))`
56.0%	4	`y`
74.8%	4	`x`
66.6%	3	`(-.f64 (*.f64 z z) t)`
57.1%	4	`t`
64.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
63.9%	2	`(*.f64 z z)`
63.9%	2	`z`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes60.0ms (0.7%)

Memory

-34.9MiB live, 18.6MiB allocated; 40ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

2 calls:

55.0ms	(*.f64 x x)
2.0ms	x

Results

Accuracy	Segments	Branch
66.7%	2	`(*.f64 x x)`
66.7%	2	`x`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes11.0ms (0.1%)

Memory

37.5MiB live, 37.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

10 calls:

1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	x
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
1.0ms	y
1.0ms	t

Results

Accuracy	Segments	Branch
48.3%	1	`(*.f64 y #s(literal 4 binary64))`
48.3%	1	`y`
48.3%	1	`t`
48.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
48.3%	1	`(*.f64 z z)`
48.3%	1	`z`
48.3%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
48.3%	1	`(-.f64 (*.f64 z z) t)`
48.3%	1	`(*.f64 x x)`
48.3%	1	`x`

Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch46.0ms (0.5%)

Memory

-32.8MiB live, 51.3MiB allocated; 25ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	4.176968044172297e+149	1.8614850889489877e+152

Samples

19.0ms

128×

valid

Compiler

Compiled 304 to 250 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 13.0ms (81.8% of total)

ival-mult: 3.0ms (18.9% 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)

bsearch47.0ms (0.5%)

Memory

30.1MiB live, 75.4MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	13792891.18782552	1.1766610790370228e+27

Samples

36.0ms

176×

valid

Compiler

Compiled 522 to 403 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 30.0ms (94.5% of total)

ival-sub: 1.0ms (3.1% 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)

bsearch45.0ms (0.5%)

Memory

-25.6MiB live, 30.6MiB allocated; 20ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	6.848130594681662e-10	6.652448300460983e-9

Samples

39.0ms

96×

valid

Compiler

Compiled 286 to 228 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (60.4% of total)

ival-sub: 1.0ms (30.2% 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)

bsearch11.0ms (0.1%)

Memory

35.4MiB live, 35.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.490056213401984e+69	6.35081741872916e+69

Samples

6.0ms

96×

valid

Compiler

Compiled 274 to 222 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (63.1% of total)

ival-sub: 1.0ms (31.6% 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)

bsearch44.0ms (0.5%)

Memory

-32.8MiB live, 108.9MiB allocated; 10ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.07000945539938064	0.12010652796041915
16.0ms	5.052317466860153e-67	1.998412832635759e-61
16.0ms	2.2470139184507757e-249	1.232783002703627e-246

Samples

20.0ms

336×

valid

Compiler

Compiled 840 to 699 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (69.5% of total)

ival-sub: 3.0ms (26.1% 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)

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.07000945539938064	0.12010652796041915

Compiler

Compiled 160 to 138 computations (13.8% saved)

simplify18.0ms (0.2%)

Memory

-11.8MiB live, 37.6MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	331
1	72	331
2	127	331
3	231	331
4	336	331
5	384	331

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 184999999999999998089972421566029802992005770343619179017558551424974156391033486007053577949146240597029745255210583518220574595372455080876027764801536 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 z #s(literal 29500000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 3264099712959499/2417851639229258349412352 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))))
(if (<=.f64 z #s(literal 5599999999999999639928273303619287527313383118865931141532415778881536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)))
(if (<=.f64 x #s(literal 1416996353930529/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 x #s(literal 5210644015679229/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) z)) (if (<=.f64 x #s(literal 8286623314361713/72057594037927936 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 8286623314361713/72057594037927936 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
(if (<=.f64 z #s(literal 184999999999999998089972421566029802992005770343619179017558551424974156391033486007053577949146240597029745255210583518220574595372455080876027764801536 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 z #s(literal 29500000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 3264099712959499/2417851639229258349412352 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))))
(if (<=.f64 z #s(literal 5599999999999999639928273303619287527313383118865931141532415778881536 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)))
(if (<=.f64 x #s(literal 1416996353930529/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 x #s(literal 5210644015679229/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) z)) (if (<=.f64 x #s(literal 8286623314361713/72057594037927936 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 8286623314361713/72057594037927936 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

derivations974.0ms (10.8%)

Memory

82.2MiB live, 1 047.0MiB allocated; 207ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	604
1	418	581
2	1504	576
3	5814	576
0	8241	545
0	32	215
0	48	215
1	159	215
2	1074	215
0	9218	211
0	81	339
1	238	325
2	840	324
3	4346	322
0	8161	303
0	11	33
0	17	33
1	60	33
2	456	33
3	5736	33
0	8267	32
0	102	405
1	298	396
2	999	393
3	4774	389
0	8177	371
0	33	176
0	52	176
1	179	173
2	1374	173
0	8579	172

Stop Event

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

Compiler

Compiled 331 to 56 computations (83.1% saved)

preprocess2.6s (29.1%)

Memory: -10.8MiB live, 145.9MiB allocated; 3.6s collecting garbage
Remove: (abs x)
Compiler: Compiled 954 to 300 computations (68.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (15.5%)

explain209.0ms (2.3%)

preprocess79.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize50.0ms (0.6%)

series11.0ms (0.1%)

simplify180.0ms (2%)

rewrite152.0ms (1.7%)

eval83.0ms (0.9%)

prune7.0ms (0.1%)

simplify134.0ms (1.5%)

localize94.0ms (1.1%)

series38.0ms (0.4%)

simplify262.0ms (2.9%)

rewrite286.0ms (3.2%)

eval126.0ms (1.4%)

prune19.0ms (0.2%)

simplify118.0ms (1.3%)

localize82.0ms (0.9%)

series32.0ms (0.4%)

simplify139.0ms (1.5%)

rewrite279.0ms (3.1%)

eval133.0ms (1.5%)

prune65.0ms (0.7%)

simplify236.0ms (2.6%)

localize96.0ms (1.1%)

series36.0ms (0.4%)

simplify301.0ms (3.3%)

rewrite206.0ms (2.3%)

eval43.0ms (0.5%)

prune13.0ms (0.1%)

regimes83.0ms (0.9%)

regimes56.0ms (0.6%)

regimes11.0ms (0.1%)

regimes29.0ms (0.3%)

regimes29.0ms (0.3%)

regimes60.0ms (0.7%)

regimes11.0ms (0.1%)

bsearch46.0ms (0.5%)

bsearch47.0ms (0.5%)

bsearch45.0ms (0.5%)

bsearch11.0ms (0.1%)

bsearch44.0ms (0.5%)

bsearch1.0ms (0%)

simplify18.0ms (0.2%)

derivations974.0ms (10.8%)

preprocess2.6s (29.1%)

end0.0ms (0%)

Profiling