Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze86.0ms (2.6%)

Memory

35.6MiB live, 35.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	7
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	8
32%	25%	53%	0.1%	0%	21.8%	0%	9
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	10
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	11
57.8%	37.4%	27.3%	0.1%	0%	35.1%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample816.0ms (24.9%)

Memory

295.5MiB live, 295.5MiB allocated

Samples

403.0ms	8 256×	0	valid
126.0ms	2 545×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-mult: 184.0ms (60.5% of total)

ival-sqrt: 67.0ms (22% of total)

ival-sub: 42.0ms (13.8% of total)

ival-true: 8.0ms (2.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain105.0ms (3.2%)

Memory

51.0MiB live, 51.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	1	(-1.0017544108554741e-202 2.8487108722843973e-160 5.385076992264741e-208)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
23	-	23	(2.293356256758268e-228 1.4613886300496903e+302 -4.258261066893713e+166)	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	0	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	oflow-rescue	106	0
↳	`(*.f64 y y)`	overflow	106
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	106
↳	`(*.f64 z z)`	overflow	23
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	16	0
↳	`(*.f64 y y)`	underflow	16
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	16
↳	`(*.f64 z z)`	underflow	114

Confusion

	Predicted +	Predicted -
+	73	0
-	49	134

Precision

0.5983606557377049

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	49	0	134

Precision?

0.5983606557377049

Recall?

1.0

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 184 to 52 computations (71.7% saved)

Precisions

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

ival-mult: 9.0ms (58.9% of total)

ival-sqrt: 3.0ms (19.6% of total)

ival-sub: 2.0ms (13.1% of total)

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

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

preprocess458.0ms (14%)

Memory

53.4MiB live, 53.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	108	93
2	221	93
3	608	93
4	1655	93
5	2753	93
6	3995	93
7	4670	93
8	5262	93
9	5561	93
10	5651	93
11	5747	93
12	5811	93
13	6963	93
14	7539	93
15	7635	93
16	7731	93
17	7827	93
18	7827	93
0	8	10
0	13	10
1	22	10
2	33	10
3	59	10
4	123	10
5	324	10
6	579	10
7	1254	10
8	2514	10
9	4177	10
10	5039	10
11	5408	10
12	5638	10
13	5752	10
14	5752	10
15	6712	10
16	6872	10
17	7192	10
18	7192	10
19	7592	10
20	7752	10
21	7832	10
22	7832	10
23	7832	10
0	10485	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs y)

(negabs x)

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify292.0ms (8.9%)

Memory

46.7MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
cost-diff	0	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
cost-diff	128	(-.f64 (.f64 y y) (.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	22	34
2	33	34
3	59	34
4	123	34
5	324	34
6	579	34
7	1254	34
8	2514	34
9	4177	34
10	5039	34
11	5408	34
12	5638	34
13	5752	34
14	5752	34
15	6712	34
16	6872	34
17	7192	34
18	7192	34
19	7592	34
20	7752	34
21	7832	34
22	7832	34
23	7832	34
0	10485	34

Stop Event

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

Calls

Call 1

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

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

localize20.0ms (0.6%)

Memory

8.7MiB live, 8.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	4.582031250000001	(-.f64 (.f64 y y) (.f64 z z))
accuracy	28.55740550659568	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

14.0ms

256×

valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

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

ival-mult: 4.0ms (55.6% of total)

ival-sqrt: 2.0ms (27.8% of total)

ival-sub: 1.0ms (13.9% of total)

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

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

series11.0ms (0.3%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt (pow y 2) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) (taylor 0 z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) (taylor 0 z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (sqrt -1))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) (taylor inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (sqrt -1)) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) (taylor inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* z (sqrt -1)))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) (taylor -inf z) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sqrt -1))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) (taylor -inf z) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (sqrt -1))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) (taylor 0 y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* z (sqrt -1)) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) (taylor 0 y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) (taylor inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) (taylor inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) (.f64 z z)) (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) (taylor -inf y) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) (taylor -inf y) (#s(alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify155.0ms (4.7%)

Memory

45.4MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1489
1	648	1483
2	2455	1426
3	7928	1426
0	8162	1349

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

Outputs
(pow y 2)
(*.f64 y y)
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 y z))
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 y z))
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) z) z (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 z z) (*.f64 x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
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rewrite155.0ms (4.7%)

Memory

52.3MiB live, 52.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	40	28
2	243	28
3	2153	28
0	9394	28

Stop Event

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

Counts

4 → 332

Calls

Call 1

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

Outputs
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eval58.0ms (1.8%)

Memory: 36.6MiB live, 36.6MiB allocated
Compiler: Compiled 12 357 to 1 728 computations (86% saved)

prune14.0ms (0.4%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	422	4	426
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	4	427

Accuracy

100.0%

Counts

427 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
▶	76.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
▶	99.7%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	99.0%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify124.0ms (3.8%)

Memory

29.7MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 z y)
cost-diff	0	(sqrt.f64 (+.f64 z y))
cost-diff	0	(*.f64 x (sqrt.f64 (+.f64 z y)))
cost-diff	0	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (-.f64 y z) (+.f64 z y))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)
cost-diff	0	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
cost-diff	0	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	40	141
1	71	141
2	113	141
3	178	141
4	301	141
5	639	141
6	1555	141
7	3308	141
8	6150	141
0	8331	141

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (2%)

Memory

23.6MiB live, 23.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (-.f64 y z))
accuracy	0.00390625	(sqrt.f64 (+.f64 z y))
accuracy	0.21484375	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.2578125	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
accuracy	0	(+.f64 z y)
accuracy	0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.00390625	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
accuracy	28.55740550659568	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0	(/.f64 z y)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.00390625	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
accuracy	0.2229404276272928	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
accuracy	0	(*.f64 x y)
accuracy	0.6254655601786061	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Samples

46.0ms

256×

valid

Compiler

Compiled 237 to 45 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 16.0ms (53% of total)

ival-sqrt: 7.0ms (23.2% of total)

ival-sub: 3.0ms (9.9% of total)

ival-add: 3.0ms (9.9% of total)

ival-div: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (1.5%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

16 → 432

Calls

Call 1

Inputs
#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) (patch (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y z) (+.f64 z y)) (patch (.f64 (-.f64 y z) (+.f64 z y)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 z y)) (patch (sqrt.f64 (+.f64 z y)) #<representation binary64>) () ())
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 y z)) (patch (sqrt.f64 (-.f64 y z)) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) (taylor 0 z) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) (taylor 0 z) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1/2 (/ (pow z 2) y))) (taylor 0 z) (#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) (taylor 0 z) (#s(alt #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) (patch #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())) ())
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#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 x y)) (patch #s(approx ( x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (- (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) (patch (.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (* (+ y z) (- y z)))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (+ y z))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (+.f64 z y))) (patch (.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
5.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
5.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
5.0ms	z	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
4.0ms	z	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))

simplify182.0ms (5.6%)

Memory

59.9MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	902	7530
1	3081	6373
0	9649	5949

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 416

Calls

Call 1

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

Outputs
(* x y)
(*.f64 y x)
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(fma.f64 (/.f64 (.f64 (.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 y x))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 z z) (*.f64 y x))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 z z) (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(fma.f64 (/.f64 (.f64 (.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 y x))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 z z) (*.f64 y x))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 z z) (*.f64 y x))
y
(+ y (* -1/2 (/ (pow z 2) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(fma.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z) y)
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 z z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z) y)
y
(+ y (* -1/2 (/ (pow z 2) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)
(+ y (* -1/2 (/ (pow z 2) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)
(+ y (* -1/2 (/ (pow z 2) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(fma.f64 y x (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) z z) y) (/.f64 (.f64 #s(literal 0 binary64) x) y)) z (.f64 y x))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 0 binary64)) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) x x) y) #s(literal -1/2 binary64))) z (/.f64 (.f64 #s(literal 0 binary64) x) y)) z (.f64 y x))
y
(+ y (* 1/2 (/ (* z (+ y (* -1 y))) y)))
(+.f64 (/.f64 #s(literal 0 binary64) y) y)
(+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) z z) y) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y)) z y)
(+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal 0 binary64) y)) z y)
(pow y 2)
(*.f64 y y)
(+ (* z (+ y (* -1 y))) (pow y 2))
(*.f64 y y)
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
(fma.f64 (neg.f64 z) z (*.f64 y y))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
(fma.f64 (neg.f64 z) z (*.f64 y y))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* x y)
(*.f64 y x)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(fma.f64 y x (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) z z) y) (/.f64 (.f64 #s(literal 0 binary64) x) y)) z (.f64 y x))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 0 binary64)) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) x x) y) #s(literal -1/2 binary64))) z (/.f64 (.f64 #s(literal 0 binary64) x) y)) z (.f64 y x))
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(+ (* 1/2 (* (* x z) (sqrt (/ 1 y)))) (* x (sqrt y)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 y) x))
(+ (* x (sqrt y)) (* z (+ (* -1/8 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* x (sqrt (/ 1 y)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) z (*.f64 (sqrt.f64 y) x))
(+ (* x (sqrt y)) (* z (+ (* 1/2 (* x (sqrt (/ 1 y)))) (* z (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/16 (* (* x z) (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) z)) z (*.f64 (sqrt.f64 y) x))
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* (sqrt (/ 1 y)) z)))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)) (* 1/2 (sqrt (/ 1 y))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) z (sqrt.f64 y))
(+ (sqrt y) (* z (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) z (sqrt.f64 y))
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) z (sqrt.f64 y))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) z (sqrt.f64 y))
(* x (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z)
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z)
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 z #s(literal 6 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z)
(* x (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z)
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z)
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 z #s(literal 6 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z)
(* z (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z)
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(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)

rewrite156.0ms (4.8%)

Memory

59.1MiB live, 59.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	40	122
1	127	122
2	799	122
0	8580	122

Stop Event

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

Counts

16 → 747

Calls

Call 1

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

Outputs
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eval182.0ms (5.6%)

Memory: 116.8MiB live, 116.8MiB allocated
Compiler: Compiled 33 950 to 4 556 computations (86.6% saved)

prune43.0ms (1.3%)

Memory

53.6MiB live, 53.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1 406	0	1 406
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 406	4	1 410

Accuracy

100.0%

Counts

1 410 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	76.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	99.7%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	99.0%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 82 to 56 computations (31.7% saved)

regimes21.0ms (0.7%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(-.f64 (.f64 y y) (.f64 z z))
3.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.7%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.7%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.7%	1	`(*.f64 y y)`
99.7%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes15.0ms (0.5%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total -14.8b remaining (-2368%)

Threshold costs -14.8b (-2368%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`y`
99.0%	1	`z`
99.0%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.0%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.0%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.0%	1	`(*.f64 y y)`
99.0%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify28.0ms (0.9%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness146.0ms (4.5%)

Memory

1.6MiB live, 1.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1489
1	648	1483
2	2455	1426
3	7928	1426
0	8162	1349

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 28 to 23 computations (17.9% saved)

preprocess93.0ms (2.9%)

Memory

55.2MiB live, 55.2MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 352 to 282 computations (19.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze86.0ms (2.6%)

sample816.0ms (24.9%)

explain105.0ms (3.2%)

preprocess458.0ms (14%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify292.0ms (8.9%)

localize20.0ms (0.6%)

series11.0ms (0.3%)

simplify155.0ms (4.7%)

rewrite155.0ms (4.7%)

eval58.0ms (1.8%)

prune14.0ms (0.4%)

simplify124.0ms (3.8%)

localize64.0ms (2%)

series50.0ms (1.5%)

simplify182.0ms (5.6%)

rewrite156.0ms (4.8%)

eval182.0ms (5.6%)

prune43.0ms (1.3%)

regimes21.0ms (0.7%)

regimes15.0ms (0.5%)

simplify28.0ms (0.9%)

soundness146.0ms (4.5%)

preprocess93.0ms (2.9%)

end0.0ms (0%)

Profiling