Metrics for Numeric.AD.Rank1.Halley:findZero from ad-4.2.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze302.0ms (4.9%)

Memory

12.5MiB live, 431.5MiB allocated; 74ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
31.3%	31.2%	68.6%	0.2%	0%	0%	0%	7
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
62.5%	62.4%	37.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.7s (27.6%)

Memory

-19.2MiB live, 1 992.7MiB allocated; 398ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 833.0ms

ival-mult: 589.0ms (70.7% of total)

ival-sub: 173.0ms (20.8% of total)

ival-div: 53.0ms (6.4% of total)

ival-true: 6.0ms (0.7% of total)

exact: 6.0ms (0.7% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain240.0ms (3.9%)

Memory

5.8MiB live, 345.4MiB allocated; 77ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
75	1	(-7.06011879324262e+108 -8.261668188935456e-141 3.0726610857847843e+183 2.0408481697985273e+223)	1	(1.259431338064328e-115 3.2839007042499232e-164 5.418048786614729e-151 8.933534699487688e-191)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
5	0	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	0	-	0	-	`(*.f64 y t)`
0	0	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	0	-	0	-	`t`
0	0	-	0	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	13	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	33
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 y t)`	overflow	36
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	87
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	61
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	5	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	61
↳	`(*.f64 y t)`	overflow	36
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	4	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	23
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	4	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	33
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	3	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 y t)`	overflow	36
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	87
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	61
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/u	2	0
↳	`(*.f64 y t)`	underflow	24
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	6
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	59
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	1	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	23
↳	`(*.f64 y t)`	underflow	24
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	6
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	59

Confusion

	Predicted +	Predicted -
+	29	18
-	0	209

Precision

1.0

Recall

0.6170212765957447

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	18
-	0	0	209

Precision?

1.0

Recall?

0.6170212765957447

Freqs

test

number	freq
0	227
1	26
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 151 to 43 computations (71.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 16.0ms (64.6% of total)

ival-sub: 5.0ms (20.2% of total)

ival-div: 3.0ms (12.1% 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)

preprocess212.0ms (3.5%)

Memory

-16.2MiB live, 75.3MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	250
1	165	244
2	418	242
3	1101	242
4	2592	242
5	4659	242
6	5299	242
7	5418	242
8	5551	242
9	5846	242
10	6131	242
11	6512	242
12	6892	242
13	6988	242
14	6988	242
15	6988	242
0	13	17
0	21	17
1	36	17
2	70	17
3	144	17
4	322	17
5	692	17
6	934	17
7	1044	17
8	1158	17
9	1188	17
0	1188	15

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Outputs

(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

(fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64)) x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify24.0ms (0.4%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) z)
cost-diff	1	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
cost-diff	1	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	21	65
1	36	65
2	70	65
3	144	65
4	322	65
5	692	65
6	934	65
7	1044	65
8	1158	65
9	1188	65
0	1188	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
x
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
z
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(.f64 (.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 y t)
t

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

localize75.0ms (1.2%)

Memory

-15.2MiB live, 80.4MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y t)
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	1.1484313074906176	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	17.733393807835764	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

57.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (64.3% of total)

ival-sub: 3.0ms (21.4% of total)

ival-div: 1.0ms (7.1% 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)

series23.0ms (0.4%)

Memory

6.9MiB live, 52.7MiB allocated; 3ms collecting garbage

Counts

6 → 66

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(*.f64 y t)

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* 2 (* y z))
(* 2 y)
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* t y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(- (* 2 (pow z 2)) (* t y))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(- x (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* t (- (* 2 (/ (pow z 2) t)) y))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
3.0ms	y	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))

simplify217.0ms (3.6%)

Memory

16.8MiB live, 288.6MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	1484
1	1100	1420
2	4018	1411
0	8613	1324

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

Inputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* 2 (* y z))
(* 2 y)
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* t y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(- (* 2 (pow z 2)) (* t y))
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(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(- x (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* t (- (* 2 (/ (pow z 2) t)) y))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) z) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z z) #s(literal 2 binary64))))
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x
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
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(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
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(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) t) (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) z)) y x)
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(/ y z)
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(* 2 (* y z))
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(* -2 (/ z t))
(*.f64 (/.f64 z t) #s(literal -2 binary64))
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(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
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(* -1 (* t y))
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(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
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(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 z (.f64 y y)) (/.f64 z (pow.f64 t #s(literal 3 binary64)))) #s(literal -8 binary64) (/.f64 #s(literal -4 binary64) (.f64 (.f64 t t) y))) (.f64 z z) (/.f64 #s(literal -2 binary64) t)) z)
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
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(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
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(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(fma.f64 (fma.f64 (.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z))
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
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(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(fma.f64 (.f64 (.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 (fma.f64 (.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (.f64 t y) #s(literal 3 binary64))) #s(literal -16 binary64) (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t))) t)
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (*.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t))) (neg.f64 t))) (neg.f64 t))) (neg.f64 t))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(.f64 (neg.f64 t) (fma.f64 (.f64 z (/.f64 z t)) #s(literal -2 binary64) y))

rewrite241.0ms (3.9%)

Memory

-21.6MiB live, 274.4MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	21	52
1	64	52
2	418	52
3	5546	52
0	8576	48

Stop Event

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

Counts

6 → 248

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(*.f64 y t)

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

eval38.0ms (0.6%)

Memory: 24.0MiB live, 114.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 854 to 1 119 computations (90.6% saved)

prune7.0ms (0.1%)

Memory

-27.5MiB live, 27.1MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	292	4	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	293	4	297

Accuracy

100.0%

Counts

297 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
▶	90.6%	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
▶	62.7%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	65.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))

Compiler

Compiled 75 to 56 computations (25.3% saved)

simplify32.0ms (0.5%)

Memory

9.6MiB live, 56.6MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
cost-diff	0	(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
cost-diff	0	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
cost-diff	0	(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
cost-diff	0	(*.f64 z #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	179
0	46	179
1	89	179
2	203	179
3	482	175
4	880	175
5	1085	175
6	1178	175
7	1293	175
8	1364	175
9	1376	175
0	1376	175

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 z t)
z
t
#s(literal 2 binary64)
x
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
y
z
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
y
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 t y)
t
x
(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
z
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 t y)
t
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
x

Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 z t)
z
t
#s(literal 2 binary64)
x
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
y
z
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (*.f64 z y) x)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
y
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 t y)
t
x
(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (*.f64 z y) x)
(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
z
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 t y)
t
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
x

localize78.0ms (1.3%)

Memory

23.5MiB live, 112.7MiB allocated; 15ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	1.0976521216604118	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	1.203990073749228	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
accuracy	16.16731230178632	(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
accuracy	0.0	(*.f64 t y)
accuracy	1.0976521216604118	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	1.1522575366037469	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
accuracy	10.522093322093918	(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy	32.19112998662067	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0.0	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
accuracy	0.0	(/.f64 z t)
accuracy	22.252786472221963	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))

Samples

49.0ms

256×

valid

Compiler

Compiled 175 to 31 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 18.0ms (54.6% of total)

ival-div: 8.0ms (24.3% of total)

ival-add: 4.0ms (12.1% of total)

ival-sub: 2.0ms (6.1% 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)

series44.0ms (0.7%)

Memory

-9.1MiB live, 41.8MiB allocated; 15ms collecting garbage

Counts

15 → 142

Calls

Call 1

Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 z t)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
(*.f64 z #s(literal 2 binary64))
(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(*.f64 z z)
(*.f64 t y)
(*.f64 #s(literal 2 binary64) y)

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(* -1/2 (/ y (pow z 2)))
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 5))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 7))) (* 1/8 (/ (pow t 2) (pow z 5))))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(* t y)
(* 2 y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(/ 1 t)
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y))))
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y)))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y)
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(/ z t)
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* 2 z)
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(pow z 2)
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(- x (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ (+ (* 2 z) (* t x)) t)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t)
(* t (+ y (* -2 (/ (pow z 2) t))))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y) (* 2 y))
5.0ms	y	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y) (* 2 y))
3.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y) (* 2 y))
3.0ms	z	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y) (* 2 y))
2.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (* 2 y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y) (* 2 y))

simplify232.0ms (3.8%)

Memory

-3.2MiB live, 271.5MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	751	3494
1	2464	3387
0	8631	3195

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 141

Calls

Call 1

Inputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
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Outputs
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x
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(* -1/2 (/ y (pow z 2)))
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(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64)))) t) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y))) (neg.f64 t)) (/.f64 z y)) (neg.f64 t))

rewrite247.0ms (4%)

Memory

-21.6MiB live, 381.5MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	146
0	46	146
1	180	146
2	1293	146
0	8591	146

Stop Event

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

Counts

15 → 296

Calls

Call 1

Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/.f64 z t)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
(*.f64 z #s(literal 2 binary64))
(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (*.f64 #s(literal 2 binary64) y) x)
(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(*.f64 z z)
(*.f64 t y)
(*.f64 #s(literal 2 binary64) y)

Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64)) (.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64)))) (+.f64 x (*.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -2 binary64) (/.f64 z t)) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (+.f64 x (*.f64 #s(literal -2 binary64) (/.f64 z t))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))))) (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64)) (.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64)) (.f64 x (*.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 z t)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 z t)) (.f64 #s(literal -2 binary64) (/.f64 z t)) (.f64 x (*.f64 #s(literal -2 binary64) (/.f64 z t))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (.f64 (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x) (.f64 x x))) (.f64 (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x) (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))) (.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64))))))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (/.f64 z t)) #s(literal 2 binary64)))
(-.f64 x (*.f64 #s(literal -2 binary64) (/.f64 z t)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (.f64 (/.f64 z t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (/.f64 z t) #s(literal 2 binary64)) x)))
(+.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)
(+.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 z) (neg.f64 t))
(/.f64 z t)
(neg.f64 (/.f64 (neg.f64 z) t))
(neg.f64 (/.f64 z (neg.f64 t)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) (/.f64 (.f64 x x) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x))) (.f64 (/.f64 (pow.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x))))
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(.f64 (/.f64 z (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 t y) #s(literal 3 binary64)))) (fma.f64 (.f64 t y) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 t y)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 z (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 t y) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 t y) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 t y) #s(literal 2 binary64)) (.f64 (.f64 t y) (.f64 (*.f64 z z) #s(literal 2 binary64)))))))
(/.f64 (.f64 z (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 t y) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 t y) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 (.f64 z z) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 t y) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 t y))) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 t y) #s(literal 3 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 t y) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 t y))))))
(/.f64 (.f64 z (fma.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 (.f64 t y) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 t y))) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 t y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 z z) #s(literal -2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 t y) (fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 t y))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 t y) (fma.f64 (.f64 z z) #s(literal 2 binary64) (*.f64 t y))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))
(/.f64 (neg.f64 z) (neg.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))
(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
(neg.f64 (/.f64 (neg.f64 z) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))
(neg.f64 (/.f64 z (neg.f64 (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(neg.f64 (*.f64 z (neg.f64 z)))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z (neg.f64 z)))
(fabs.f64 (neg.f64 (*.f64 z z)))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))
(*.f64 t y)
(*.f64 y t)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y y))) (neg.f64 (-.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y y)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y y)) (/.f64 (.f64 y y) (-.f64 y y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y y)))))
(+.f64 y y)

eval65.0ms (1.1%)

Memory: 10.9MiB live, 156.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 19 545 to 1 828 computations (90.6% saved)

prune10.0ms (0.2%)

Memory

0.8MiB live, 48.4MiB allocated; 1ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	443	3	446
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	445	5	450

Accuracy

100.0%

Counts

450 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (+.f64 y y) x)
▶	90.6%	(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x)
✓	62.7%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	65.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
▶	15.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))

Compiler

Compiled 106 to 75 computations (29.2% saved)

simplify30.0ms (0.5%)

Memory

11.1MiB live, 58.2MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
cost-diff	0	(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
cost-diff	0	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (+.f64 y y) x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
cost-diff	0	(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x)
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 (/.f64 z t) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	149
0	44	149
1	87	149
2	217	149
3	529	147
4	973	147
5	1187	147
6	1291	147
7	1400	147
8	1430	147
9	1448	147
0	1448	145

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
z
t
#s(literal 2 binary64)
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (*.f64 z y) x)
(+.f64 z z)
(*.f64 z #s(literal 2 binary64))
z
(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
y
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 t y)
t
x
(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (+.f64 y y) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (*.f64 z y) x)
(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
z
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
#s(literal -2 binary64)
(*.f64 z z)
(*.f64 t y)
t
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
x

localize69.0ms (1.1%)

Memory

-9.5MiB live, 133.9MiB allocated; 7ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 t y)
accuracy	1.0976521216604118	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	1.203990073749228	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (+.f64 y y) x)
accuracy	16.16731230178632	(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
accuracy	0.0	(*.f64 t y)
accuracy	1.0976521216604118	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	1.1522575366037469	(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x)
accuracy	10.522093322093918	(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
accuracy	0.0	(/.f64 z t)
accuracy	0.00390625	(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	22.252786472221963	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
accuracy	31.957331454378266	#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 139 to 31 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (49.4% of total)

ival-add: 8.0ms (20.8% of total)

ival-div: 7.0ms (18.2% of total)

ival-sub: 4.0ms (10.4% 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)

series15.0ms (0.2%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Counts

12 → 113

Calls

Call 1

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

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(* -1/2 (/ y (pow z 2)))
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 5))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 7))) (* 1/8 (/ (pow t 2) (pow z 5))))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(* t y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(/ 1 t)
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y))))
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y)))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y)
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(/ z t)
(* 2 z)
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(pow z 2)
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(- x (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ (+ (* 2 z) (* t x)) t)
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t)
(* t (+ y (* -2 (/ (pow z 2) t))))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (+ y y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y))
2.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (+ y y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y))
1.0ms	x	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (+ y y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y))
1.0ms	t	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (+ y y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y))
1.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (+ (* (/ z (+ (* -2 (* z z)) (* t y))) (+ y y)) x) (/ z (+ (* -2 (* z z)) (* t y))) (* z z) (* t y))

simplify263.0ms (4.3%)

Memory

-24.7MiB live, 205.0MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	2702
1	2077	2631
2	7138	2629
0	8386	2479

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

Calls

Call 1

Inputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(* -1/2 (/ y (pow z 2)))
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 5))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 7))) (* 1/8 (/ (pow t 2) (pow z 5))))) (* 1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z)))
(* t y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(/ 1 t)
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y))))
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y)))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y)
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(/ z t)
(* 2 z)
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(pow z 2)
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(- x (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ (+ (* 2 z) (* t x)) t)
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t)
(* t (+ y (* -2 (/ (pow z 2) t))))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) z) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z z) #s(literal 2 binary64))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (/.f64 y x) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (/.f64 z x)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
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(.f64 (.f64 (-.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 2 binary64)) z) z)
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(fma.f64 t (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal -1/2 binary64) z))
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 t t) y) y) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 t y) #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 t t) y) y) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 y z) z) t) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) z)
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(fma.f64 (.f64 (.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(fma.f64 (fma.f64 (.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) t)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(fma.f64 (.f64 (.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(fma.f64 (fma.f64 (.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 z))
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 t t) y) y) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 (/.f64 (/.f64 y z) z) t) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (neg.f64 z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (.f64 t y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 t t) y) y) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (neg.f64 z))
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t)
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(fma.f64 (fma.f64 (.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))
(fma.f64 (.f64 (.f64 y y) (/.f64 t (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (pow.f64 z #s(literal 4 binary64)))) t (.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) t (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (pow.f64 z #s(literal 4 binary64)))) t (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (*.f64 y y) t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 #s(literal -1/2 binary64) z))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/4 binary64))) t (/.f64 #s(literal -1/2 binary64) z))
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) t) #s(literal 2 binary64) #s(literal 1 binary64)) t)
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64)) t)
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 t y) #s(literal 3 binary64))) #s(literal 8 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64))) t)
(* t (+ y (* -2 (/ (pow z 2) t))))
(.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t)
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) (/.f64 z t)) y)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal 2 binary64))) t) (/.f64 z y)) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal 2 binary64))) t) (/.f64 z y))) t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t))
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 z z) y) t) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 t))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y))) (neg.f64 t))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(.f64 (neg.f64 t) (fma.f64 (.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 z (neg.f64 y))) (neg.f64 t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal 2 binary64))) (neg.f64 t)) (/.f64 z y)) (neg.f64 t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 t))) (neg.f64 t)) (/.f64 z y)) (neg.f64 t))

rewrite242.0ms (4%)

Memory

24.0MiB live, 213.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	119
0	44	119
1	182	108
2	1602	108
0	8520	106

Stop Event

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

Counts

12 → 467

Calls

Call 1

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

Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(*.f64 #s(literal 2 binary64) (/.f64 z t))
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (/.f64 z t) (/.f64 z t)))
(/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))) (neg.f64 (neg.f64 t)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 t)) (.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 z)))) (.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 t) (.f64 (neg.f64 (neg.f64 t)) (neg.f64 z))) (.f64 (neg.f64 (neg.f64 t)) (neg.f64 t)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) t (.f64 (neg.f64 (neg.f64 t)) z)) (.f64 (neg.f64 (neg.f64 t)) t))
(/.f64 (fma.f64 (neg.f64 z) (neg.f64 (neg.f64 t)) (.f64 (neg.f64 t) (neg.f64 (neg.f64 z)))) (.f64 (neg.f64 t) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (neg.f64 z) (neg.f64 t) (.f64 (neg.f64 t) (neg.f64 z))) (.f64 t t))
(/.f64 (fma.f64 (neg.f64 z) t (.f64 (neg.f64 t) z)) (.f64 (neg.f64 t) t))
(/.f64 (fma.f64 z (neg.f64 (neg.f64 t)) (.f64 t (neg.f64 (neg.f64 z)))) (.f64 t (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 z (neg.f64 t) (.f64 t (neg.f64 z))) (.f64 t (neg.f64 t)))
(/.f64 (fma.f64 z t (.f64 t z)) (.f64 t t))
(/.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)) (neg.f64 t))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) (neg.f64 t))
(/.f64 (+.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) t)))
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) t))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 (fma.f64 z z #s(literal 0 binary64)) t))
(/.f64 (neg.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
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(fma.f64 y (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) (fma.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 x (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))))
(-.f64 (+.f64 x (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y)) (.f64 (neg.f64 y) (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))
(-.f64 (+.f64 x (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y)) (.f64 (neg.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))) y))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) x)))
(-.f64 x (.f64 (neg.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (.f64 t y) #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 (neg.f64 y) t))))
(-.f64 x (.f64 (neg.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (pow.f64 (.f64 t y) #s(literal 3 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (fma.f64 (.f64 z #s(literal 2 binary64)) t (pow.f64 (.f64 t y) #s(literal 2 binary64))))))
(-.f64 x (.f64 (neg.f64 (.f64 (/.f64 y (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) z))
(-.f64 x (.f64 (neg.f64 (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) y))
(-.f64 x (.f64 (neg.f64 (.f64 (/.f64 y (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) z)) #s(literal 2 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y)) #s(literal 2 binary64)))
(-.f64 x (.f64 (neg.f64 z) (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))))
(-.f64 x (.f64 (neg.f64 z) (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))
(-.f64 x (.f64 #s(literal -2 binary64) (.f64 z (/.f64 y (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))))
(-.f64 x (.f64 #s(literal -2 binary64) (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y)))
(-.f64 x (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))))
(-.f64 x (.f64 (neg.f64 y) (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))
(-.f64 x (.f64 (neg.f64 (/.f64 y (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))) (.f64 z #s(literal 2 binary64))))
(-.f64 x (.f64 (neg.f64 (.f64 z #s(literal 2 binary64))) (/.f64 y (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))
(-.f64 x (.f64 (neg.f64 (.f64 z #s(literal 2 binary64))) (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))
(-.f64 x (.f64 (neg.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))) (.f64 z #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) x) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) x) (-.f64 (.f64 t y) (*.f64 z #s(literal 2 binary64))))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) x) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 z #s(literal 2 binary64)) x) (-.f64 (.f64 t y) (*.f64 z #s(literal 2 binary64))))))))
(+.f64 (+.f64 x (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y)) (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))) (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))) (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (*.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))) (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))) (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (*.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) x)))
(+.f64 (.f64 (/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))) y) (fma.f64 (/.f64 z (-.f64 (.f64 t y) (*.f64 z #s(literal 2 binary64)))) y x))
(+.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (*.f64 z #s(literal 2 binary64)))) x)
(+.f64 x (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 t y) (*.f64 z #s(literal 2 binary64)))))
(.f64 (/.f64 z (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 (.f64 t y) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 (neg.f64 y) t)))
(.f64 (/.f64 z (fma.f64 z #s(literal 2 binary64) (pow.f64 (.f64 t y) #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (fma.f64 (.f64 z #s(literal 2 binary64)) t (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 z) (neg.f64 (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))
(/.f64 z (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 z) (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64)))))
(neg.f64 (/.f64 z (neg.f64 (-.f64 (.f64 t y) (.f64 z #s(literal 2 binary64))))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 z (neg.f64 z)))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (neg.f64 (*.f64 z z)))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))
(*.f64 t y)
(*.f64 y t)

eval107.0ms (1.7%)

Memory: 9.2MiB live, 107.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 18 710 to 2 108 computations (88.7% saved)

prune21.0ms (0.3%)

Memory

-16.5MiB live, 28.5MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	575	1	576
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	575	6	581

Accuracy

100.0%

Counts

581 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (+.f64 y y) x)
✓	90.6%	(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x)
✓	62.7%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	65.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	15.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	15.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))

Compiler

Compiled 137 to 96 computations (29.9% saved)

simplify25.0ms (0.4%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(*.f64 z (/.f64 #s(literal 2 binary64) t))
cost-diff	0	#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
0	22	55
1	42	55
2	90	55
3	188	55
4	390	55
5	710	55
6	941	55
7	1051	55
8	1165	55
9	1195	55
0	1195	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
z
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t

Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
z
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t

localize72.0ms (1.2%)

Memory

-8.7MiB live, 37.6MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.21484375	(*.f64 z (/.f64 #s(literal 2 binary64) t))
accuracy	22.252786472221963	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
accuracy	31.957331454378266	#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))

Samples

64.0ms

256×

valid

Compiler

Compiled 37 to 20 computations (45.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 40.0ms (74.4% of total)

ival-mult: 10.0ms (18.6% of total)

ival-sub: 2.0ms (3.7% of total)

ival-add: 1.0ms (1.9% 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)

series7.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

4 → 33

Calls

Call 1

Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 #s(literal 2 binary64) t)

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(- x (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ (+ (* 2 z) (* t x)) t)
(/ 2 t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* z (/ 2 t)) (/ 2 t))
1.0ms	x	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* z (/ 2 t)) (/ 2 t))
1.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* z (/ 2 t)) (/ 2 t))
1.0ms	z	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* z (/ 2 t)) (/ 2 t))
1.0ms	x	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* z (/ 2 t)) (/ 2 t))

simplify206.0ms (3.4%)

Memory

-9.4MiB live, 170.5MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	651
1	649	635
2	2115	627
0	8463	589

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(- x (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ (+ (* 2 z) (* t x)) t)
(/ 2 t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) z) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z z) #s(literal 2 binary64))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) z) (/.f64 y (.f64 (fma.f64 (neg.f64 t) y (.f64 (*.f64 z z) #s(literal 2 binary64))) x)) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) x) z) (/.f64 y (fma.f64 (neg.f64 t) y (.f64 (*.f64 z z) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 (-.f64 (.f64 y (.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y x)
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (.f64 t t) (.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) y) (/.f64 #s(literal 1 binary64) z)) y x)
(- x (* -2 (/ z t)))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 3 binary64))))) y)))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(-.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 4 binary64))) x) (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (.f64 #s(literal -2 binary64) z)) t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 3 binary64))))) y)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (pow.f64 t #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y)) y)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) z) (/.f64 z (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 t #s(literal -1/2 binary64)) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z)))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 z #s(literal 5 binary64))))) t (-.f64 x (/.f64 y z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) t)) z)
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(fma.f64 (.f64 t #s(literal -1/2 binary64)) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 z #s(literal 5 binary64))))) t (-.f64 x (/.f64 y z)))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) t)) z)
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 z #s(literal 5 binary64))))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 t (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t)) t (-.f64 x (/.f64 y z)))
(/ (+ (* 2 z) (* t x)) t)
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) t) y) y) #s(literal -8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t))

rewrite186.0ms (3%)

Memory

1.2MiB live, 159.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
0	22	52
1	86	52
2	603	52
0	8124	48

Stop Event

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

Counts

4 → 22

Calls

Call 1

Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))
#s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 #s(literal 2 binary64) t)

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

eval6.0ms (0.1%)

Memory: 10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 633 to 262 computations (84% saved)

prune40.0ms (0.7%)

Memory

-32.5MiB live, 13.7MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	44	6	50

Accuracy

100.0%

Counts

50 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(fma.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (+.f64 y y) x)
✓	90.6%	(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x)
✓	62.7%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	65.2%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	15.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
✓	15.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))

Compiler

Compiled 321 to 147 computations (54.2% saved)

regimes40.0ms (0.6%)

Memory

20.0MiB live, 71.9MiB allocated; 9ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Calls

6 calls:

24.0ms	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
3.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
3.0ms	t
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
94.1%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
94.1%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
90.6%	1	`x`
90.6%	1	`y`
94.1%	3	`z`
90.6%	1	`t`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes15.0ms (0.2%)

Memory

-15.9MiB live, 29.1MiB allocated; 4ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Calls

6 calls:

5.0ms	y
2.0ms	t
2.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
76.1%	3	`t`
67.1%	2	`x`
79.1%	3	`y`
89.2%	3	`z`
70.6%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
74.2%	4	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes9.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))

Outputs

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))

Calls

6 calls:

2.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	t

Results

Accuracy	Segments	Branch
62.7%	1	`x`
64.5%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
62.7%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
62.7%	1	`t`
64.6%	2	`y`
62.7%	1	`z`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))

Outputs

(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
64.6%	2	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes3.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Results

Accuracy	Segments	Branch
62.7%	1	`z`
62.7%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
62.7%	1	`y`

Compiler

Compiled 17 to 20 computations (-17.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch38.0ms (0.6%)

Memory

-15.9MiB live, 75.2MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.586049369845027e+30	1.4396764209802719e+41
15.0ms	-7.390912083185365e-60	-1.3017246456835593e-63

Samples

21.0ms

288×

valid

Compiler

Compiled 830 to 632 computations (23.9% saved)

Precisions

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

ival-mult: 8.0ms (62.4% of total)

ival-div: 2.0ms (15.6% of total)

ival-sub: 2.0ms (15.6% 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)

bsearch37.0ms (0.6%)

Memory

-31.4MiB live, 24.3MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	5.97200361149957e+254	1.0074748175140637e+264

Samples

10.0ms

144×

valid

Compiler

Compiled 488 to 362 computations (25.8% saved)

Precisions

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

ival-mult: 4.0ms (63.8% of total)

ival-div: 1.0ms (15.9% of total)

ival-sub: 1.0ms (15.9% 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)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.97200361149957e+254	1.0074748175140637e+264

Compiler

Compiled 488 to 362 computations (25.8% saved)

simplify57.0ms (0.9%)

Memory

15.2MiB live, 60.9MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	243
1	87	243
2	150	243
3	266	243
4	514	243
5	965	243
6	1405	243
7	3057	243
8	5062	243

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -1628326254899759/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 2750000000000000282677449441935360 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 y #s(literal 1900000000000000083167793925303904173114388187896171060079825518980471781038178214498690257546330444854991698721231369762648667246972555808523809885007678229845674598193667841267448109897324759747049402376339900020962839692869201288935216737901996995812563877888 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal 1900000000000000083167793925303904173114388187896171060079825518980471781038178214498690257546330444854991698721231369762648667246972555808523809885007678229845674598193667841267448109897324759747049402376339900020962839692869201288935216737901996995812563877888 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

Outputs
(if (<=.f64 (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -1628326254899759/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 2750000000000000282677449441935360 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (or (<=.f64 z #s(literal -1628326254899759/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (not (<=.f64 z #s(literal 2750000000000000282677449441935360 binary64)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)))
(if (<=.f64 y #s(literal 1900000000000000083167793925303904173114388187896171060079825518980471781038178214498690257546330444854991698721231369762648667246972555808523809885007678229845674598193667841267448109897324759747049402376339900020962839692869201288935216737901996995812563877888 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal 1900000000000000083167793925303904173114388187896171060079825518980471781038178214498690257546330444854991698721231369762648667246972555808523809885007678229845674598193667841267448109897324759747049402376339900020962839692869201288935216737901996995812563877888 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 z (/.f64 #s(literal 2 binary64) t)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))

derivations765.0ms (12.5%)

Memory

10.2MiB live, 656.5MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	21	52
1	64	52
2	418	52
3	5546	52
0	8576	48
0	751	3494
1	2464	3387
0	8631	3195
0	30	119
0	44	119
1	182	108
2	1602	108
0	8520	106
0	347	1484
1	1100	1420
2	4018	1411
0	8613	1324
0	29	146
0	46	146
1	180	146
2	1293	146
0	8591	146

Stop Event

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

Compiler

Compiled 243 to 59 computations (75.7% saved)

preprocess85.0ms (1.4%)

Memory: -1.3MiB live, 95.4MiB allocated; 17ms collecting garbage
Compiler: Compiled 546 to 168 computations (69.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze302.0ms (4.9%)

sample1.7s (27.6%)

explain240.0ms (3.9%)

preprocess212.0ms (3.5%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify24.0ms (0.4%)

localize75.0ms (1.2%)

series23.0ms (0.4%)

simplify217.0ms (3.6%)

rewrite241.0ms (3.9%)

eval38.0ms (0.6%)

prune7.0ms (0.1%)

simplify32.0ms (0.5%)

localize78.0ms (1.3%)

series44.0ms (0.7%)

simplify232.0ms (3.8%)

rewrite247.0ms (4%)

eval65.0ms (1.1%)

prune10.0ms (0.2%)

simplify30.0ms (0.5%)

localize69.0ms (1.1%)

series15.0ms (0.2%)

simplify263.0ms (4.3%)

rewrite242.0ms (4%)

eval107.0ms (1.7%)

prune21.0ms (0.3%)

simplify25.0ms (0.4%)

localize72.0ms (1.2%)

series7.0ms (0.1%)

simplify206.0ms (3.4%)

rewrite186.0ms (3%)

eval6.0ms (0.1%)

prune40.0ms (0.7%)

regimes40.0ms (0.6%)

regimes15.0ms (0.2%)

regimes9.0ms (0.2%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch38.0ms (0.6%)

bsearch37.0ms (0.6%)

bsearch1.0ms (0%)

simplify57.0ms (0.9%)

derivations765.0ms (12.5%)

preprocess85.0ms (1.4%)

end0.0ms (0%)

Profiling