Metrics for System.Random.MWC.Distributions:gamma from mwc-random-0.13.3.2

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
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
100%	49.9%	0%	0.1%	0%	49.9%	0%	4

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.5s (24.1%)

Memory

30.2MiB live, 1 280.2MiB allocated; 324ms collecting garbage

Samples

850.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 551.0ms

ival-mult: 288.0ms (52.2% of total)

ival-log: 95.0ms (17.2% of total)

ival-add: 86.0ms (15.6% of total)

ival-sub: 64.0ms (11.6% of total)

exact: 8.0ms (1.5% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain116.0ms (1.9%)

Memory

37.9MiB live, 180.4MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
-	-	`(-.f64 #s(literal 1 binary64) z)`
-	-	`(log.f64 z)`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`(*.f64 x #s(literal 1/2 binary64))`
-	-	`y`
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
-	-	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

41.0ms

512×

valid

Compiler

Compiled 94 to 37 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log: 9.0ms (38.3% of total)

ival-mult: 6.0ms (25.5% of total)

ival-add: 4.0ms (17% of total)

ival-sub: 3.0ms (12.8% 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)

preprocess133.0ms (2.2%)

Memory

-16.2MiB live, 129.0MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	115
1	126	113
2	381	112
3	758	112
4	1155	112
5	1500	112
6	2186	110
7	3703	110
8	5763	110
9	7379	110
0	11	12
0	17	12
1	34	12
2	78	12
3	158	12
4	249	12
5	317	12
6	460	12
7	771	12
8	1532	12
9	1950	12
10	2223	12
11	2719	12
12	3043	12
13	3203	12
14	3226	12
0	3226	10

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify53.0ms (0.9%)

Memory

-15.4MiB live, 31.3MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	17	39
1	34	39
2	78	39
3	158	39
4	249	39
5	317	39
6	460	39
7	771	39
8	1532	39
9	1950	39
10	2223	39
11	2719	39
12	3043	39
13	3203	39
14	3226	39
0	3226	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.5%)

Memory

-9.7MiB live, 36.3MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 z)
accuracy	0.01171875	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
accuracy	0.015625	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
accuracy	0.1171875	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Samples

18.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (31.3% of total)

ival-mult: 3.0ms (31.3% of total)

ival-add: 2.0ms (20.8% of total)

ival-sub: 1.0ms (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)

series111.0ms (1.8%)

Memory

22.0MiB live, 110.9MiB allocated; 19ms collecting garbage

Counts

5 → 24

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
25.0ms	y	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
15.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
12.0ms	z	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
10.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))

simplify123.0ms (2%)

Memory

34.4MiB live, 166.9MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	258
1	279	238
2	1051	237
3	4528	235
0	8324	216

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite185.0ms (3%)

Memory

-24.0MiB live, 170.4MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	17	31
1	72	31
2	598	31
0	8142	30

Stop Event

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

Counts

5 → 245

Calls

Call 1

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

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

eval73.0ms (1.2%)

Memory: -2.0MiB live, 52.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 261 to 954 computations (90.7% saved)

prune14.0ms (0.2%)

Memory

-18.5MiB live, 27.0MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	253	13	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	13	267

Accuracy

100.0%

Counts

267 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
▶	99.9%	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
	67.6%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	82.5%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))
	70.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64)) (fma.f64 z z (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
	99.5%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z))))
	74.3%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	61.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
▶	64.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
▶	89.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
▶	36.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))

Compiler

Compiled 546 to 394 computations (27.8% saved)

simplify150.0ms (2.4%)

Memory

-1.5MiB live, 140.1MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))
cost-diff	12	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
cost-diff	3	(*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x)
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y y)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
cost-diff	0	(log.f64 z)
cost-diff	0	(+.f64 (log.f64 z) #s(literal 1 binary64))
cost-diff	0	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
cost-diff	1	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	235
0	56	219
1	104	219
2	212	219
3	595	219
4	1839	217
5	6140	217
0	8481	210

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.8%)

Memory

23.2MiB live, 114.4MiB allocated; 6ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))
accuracy	0.1484375	(/.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
accuracy	0.5498237793053261	(pow.f64 (log.f64 z) #s(literal 2 binary64))
accuracy	8.769653050835961	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.00390625	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.01171875	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.1328125	(fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64))
accuracy	6.4008907255411875	(*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x)
accuracy	0.0	(log.f64 z)
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))
accuracy	0.21484375	(fma.f64 (log.f64 z) y y)
accuracy	22.940937284178514	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	40.474466727513075	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
accuracy	0.0	(log.f64 z)
accuracy	0.00390625	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.01171875	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.0546875	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))

Samples

74.0ms

256×

valid

Compiler

Compiled 216 to 35 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 13.0ms (33.3% of total)

ival-add: 8.0ms (20.5% of total)

ival-pow2: 6.0ms (15.4% of total)

ival-sub: 4.0ms (10.3% of total)

ival-div: 3.0ms (7.7% of total)

ival-log: 3.0ms (7.7% of total)

ival-neg: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (1.6%)

Memory

-3.2MiB live, 139.9MiB allocated; 15ms collecting garbage

Counts

20 → 104

Calls

Call 1

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

Outputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ y (* y (log z)))
(+ y (+ (* 1/2 x) (* y (log z))))
(/ (* y (- (+ 1 (log z)) z)) x)
(/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)
(/ y x)
(/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (- 1 (+ z (log z))))
(+ (* 1/2 x) (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (- 1 (+ z (log z)))))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (+ (/ y x) (/ (* y (log z)) x))))
1/2
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(* x (+ 1/2 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))) 1/2)))
(* -1 (* y z))
(* -1 y)
(+ (* 1/2 x) (* y (+ 1 (log z))))
(* y (+ 1 (log z)))
(+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(+ (* 1/2 x) (* y (- (/ (pow (- 1 z) 2) (- 1 (+ z (log z)))) (/ (pow (log z) 2) (- 1 (+ z (log z)))))))
(/ y (- 1 (+ z (log z))))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))
(* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))
(* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))
(* y (- (/ (pow (- 1 z) 2) (- 1 (+ z (log z)))) (/ (pow (log z) 2) (- 1 (+ z (log z))))))
(* y (- (+ (* 1/2 (/ x y)) (/ (pow (- 1 z) 2) (- 1 (+ z (log z))))) (/ (pow (log z) 2) (- 1 (+ z (log z))))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (log z)) 1)))
(* -1 (* y (- (+ (* -1 (log z)) (* -1/2 (/ x y))) 1)))
(* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1 (/ (- (pow (- 1 z) 2) (pow (log z) 2)) (- 1 (+ z (log z))))) (* -1/2 (/ x y)))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(log z)
(* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(+ 1/2 (/ (* y (+ 1 (log z))) x))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(+ (* 1/2 x) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))
(+ (* 1/2 x) (+ (* z (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2))))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))
(+ (* 1/2 x) (+ (* z (- (+ (* -2 (/ y (- 1 (log z)))) (* z (- (/ y (- 1 (log z))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (- 1 (log z))))))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2))))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))
(+ (* 1/2 x) (+ (* z (- (+ (* -2 (/ y (- 1 (log z)))) (* z (- (+ (/ y (- 1 (log z))) (/ (* z (- (/ y (- 1 (log z))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (- 1 (log z)))))) (- 1 (log z)))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (- 1 (log z))))))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2))))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))
(- 1 (pow (log z) 2))
(- (+ 1 (* -2 z)) (pow (log z) 2))
(- (+ 1 (* z (- z 2))) (pow (log z) 2))
1
(+ 1 (* -2 z))
(+ 1 (* z (- z 2)))
(+ 1 (* -1 z))
(pow (log z) 2)
(/ y (- 1 (log z)))
(+ (/ y (- 1 (log z))) (/ (* y z) (pow (- 1 (log z)) 2)))
(+ (* z (- (/ (* y z) (pow (- 1 (log z)) 3)) (* -1 (/ y (pow (- 1 (log z)) 2))))) (/ y (- 1 (log z))))
(+ (* z (- (* z (- (/ (* y z) (pow (- 1 (log z)) 4)) (* -1 (/ y (pow (- 1 (log z)) 3))))) (* -1 (/ y (pow (- 1 (log z)) 2))))) (/ y (- 1 (log z))))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(+ 1 (* -1 (log (/ 1 z))))
(* -1 (log (/ 1 z)))
(+ y (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x)))
(+ y (* -1 (* y (log (/ 1 z)))))
(* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))
(* -1 (/ (* y z) x))
(* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))
(* z (- (+ (* -1 y) (+ (* 1/2 (/ x z)) (* 2 (/ y z)))) (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)))
(* z (- (+ (* -1 y) (+ (* -1 (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2))) (+ (* 1/2 (/ x z)) (* 2 (/ y z))))) (+ (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* 2 y) (* y (- 1 (* -1 (log (/ 1 z))))))) (pow z 2))) (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))))
(* z (- (+ (* -1 y) (+ (* -1 (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2))) (+ (* 1/2 (/ x z)) (+ (* 2 (/ y z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -1 (* y (- 1 (pow (log (/ 1 z)) 2)))) (* -1 (* (- 1 (* -1 (log (/ 1 z)))) (- (* 2 y) (* y (- 1 (* -1 (log (/ 1 z)))))))))) (pow z 3)))))) (+ (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* 2 y) (* y (- 1 (* -1 (log (/ 1 z))))))) (pow z 2))) (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))))
(pow z 2)
(* (pow z 2) (- 1 (* 2 (/ 1 z))))
(* (pow z 2) (- (+ 1 (/ 1 (pow z 2))) (+ (* 2 (/ 1 z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))
(* (pow z 2) (- (+ 1 (/ 1 (pow z 2))) (* 2 (/ 1 z))))
(* z (- (/ 1 z) 1))
(pow (log (/ 1 z)) 2)
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 1 (* -1 (log (/ 1 z)))) 2)) (pow z 2)))) (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 1 (* -1 (log (/ 1 z)))) 3)) (pow z 3)))) (+ (/ (* y (- 1 (* -1 (log (/ 1 z))))) z) (/ (* y (pow (- 1 (* -1 (log (/ 1 z)))) 2)) (pow z 2)))) z)
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ (log -1) (* -1 (log (/ -1 z))))
(+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z)))))))
(+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))
(* -1 (* z (+ y (* -1 (/ (- (+ (* 1/2 x) (* 2 y)) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* 2 y) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)) (+ (* 1/2 x) (* 2 y))) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) (/ (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* 2 y) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))))) z)) (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* 2 y) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)) (+ (* 1/2 x) (* 2 y))) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* (pow z 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)) z))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (- 2 (/ 1 z)) z))))
(* -1 (* z (- 1 (/ 1 z))))
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)
(* -1 (/ (+ y (/ (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)) z)) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) 3)) z) (* -1 (* y (pow (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)))) z)) (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z))) z))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (/ y (- (- 1 z) (log z)))) (* 1/2 x)) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (- 1 z) (pow (log z) 2) (/ y (- (- 1 z) (log z))))
15.0ms	y	@	0	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (/ y (- (- 1 z) (log z)))) (* 1/2 x)) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (- 1 z) (pow (log z) 2) (/ y (- (- 1 z) (log z))))
14.0ms	y	@	-inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (/ y (- (- 1 z) (log z)))) (* 1/2 x)) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (- 1 z) (pow (log z) 2) (/ y (- (- 1 z) (log z))))
12.0ms	z	@	-inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (/ y (- (- 1 z) (log z)))) (* 1/2 x)) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (- 1 z) (pow (log z) 2) (/ y (- (- 1 z) (log z))))
10.0ms	z	@	inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (/ y (- (- 1 z) (log z)))) (* 1/2 x)) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (- 1 z) (pow (log z) 2) (/ y (- (- 1 z) (log z))))

simplify223.0ms (3.6%)

Memory

-19.3MiB live, 143.8MiB allocated; 119ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	2022
1	1314	1850
2	4761	1781
0	8198	1704

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

Calls

Call 1

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

rewrite210.0ms (3.4%)

Memory

35.1MiB live, 225.1MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	56	171
1	257	171
2	2001	171
0	9033	171

Stop Event

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

Counts

20 → 558

Calls

Call 1

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

Outputs
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(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fabs.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fabs.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))
(/.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 z) z))) (exp.f64 (log1p.f64 z)))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (exp.f64 (log1p.f64 (fma.f64 z z z))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)))
(-.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) z)
(fabs.f64 (-.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 z #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(fabs.f64 (-.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)))
(+.f64 (cosh.f64 (log.f64 (-.f64 #s(literal 1 binary64) z))) (sinh.f64 (log.f64 (-.f64 #s(literal 1 binary64) z))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (neg.f64 (log.f64 z))) (neg.f64 (neg.f64 (log.f64 z))))
(*.f64 (pow.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 (log.f64 z)))
(*.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64)))
(*.f64 (log.f64 z) (log.f64 z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 z)))
(pow.f64 (neg.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64))))))))
(sqrt.f64 (pow.f64 (log.f64 z) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)))))
(log.f64 (pow.f64 z (log.f64 z)))
(*.f64 (/.f64 y (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (fma.f64 (log.f64 z) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(*.f64 (/.f64 y (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(/.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(neg.f64 (/.f64 y (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))

eval111.0ms (1.8%)

Memory: -7.9MiB live, 219.7MiB allocated; 26ms collecting garbage
Compiler: Compiled 31 531 to 3 108 computations (90.1% saved)

prune24.0ms (0.4%)

Memory

11.3MiB live, 56.5MiB allocated; 7ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	810	10	820
Fresh	5	3	8
Picked	3	2	5
Done	0	0	0
Total	818	15	833

Accuracy

100.0%

Counts

833 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))) y (*.f64 #s(literal 1/2 binary64) x))
▶	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
	95.0%	(fma.f64 (.f64 (/.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (.f64 x #s(literal 1/2 binary64)))
	99.5%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
	74.3%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
▶	40.1%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
	61.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
▶	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
✓	64.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
▶	63.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
	64.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (+.f64 (*.f64 y (log.f64 z)) y)))
✓	36.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
	60.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) x) y #s(literal 1/2 binary64))) x))
	30.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
▶	26.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))

Compiler

Compiled 664 to 470 computations (29.2% saved)

simplify169.0ms (2.7%)

Memory

-12.5MiB live, 133.5MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
cost-diff	8	(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	2	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y y)
cost-diff	0	#s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(-.f64 (log.f64 z) z)
cost-diff	0	(fma.f64 (-.f64 (log.f64 z) z) y y)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	243
0	59	233
1	105	225
2	195	225
3	414	207
4	824	207
5	1985	207
6	7796	207
0	8681	207

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1.3%)

Memory

19.0MiB live, 109.9MiB allocated; 7ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y)
accuracy	0.5498237793053261	(pow.f64 (log.f64 z) #s(literal 2 binary64))
accuracy	0.7806574841322629	(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))
accuracy	22.940937284178514	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(log.f64 z)
accuracy	0.078125	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.13671875	(fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(log.f64 z)
accuracy	0.21484375	(fma.f64 (log.f64 z) y y)
accuracy	22.940937284178514	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
accuracy	29.765343796282515	#s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	38.359521153977155	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
accuracy	0.01171875	(-.f64 (log.f64 z) z)
accuracy	0.015625	(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0.12109375	(fma.f64 (-.f64 (log.f64 z) z) y y)

Samples

57.0ms

256×

valid

Compiler

Compiled 200 to 35 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (40.5% of total)

ival-add: 11.0ms (27.9% of total)

ival-sub: 5.0ms (12.7% of total)

ival-log: 3.0ms (7.6% of total)

ival-pow2: 2.0ms (5.1% of total)

ival-div: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series113.0ms (1.8%)

Memory

-7.6MiB live, 102.7MiB allocated; 24ms collecting garbage

Counts

18 → 79

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1))) (* (- (pow (log z) 2) 1) y) (pow (log z) 2))
27.0ms	x	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1))) (* (- (pow (log z) 2) 1) y) (pow (log z) 2))
11.0ms	y	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1))) (* (- (pow (log z) 2) 1) y) (pow (log z) 2))
10.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1))) (* (- (pow (log z) 2) 1) y) (pow (log z) 2))
10.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (/ (* (- (pow (log z) 2) 1) y) (- (log z) 1))) (* (- (pow (log z) 2) 1) y) (pow (log z) 2))

simplify169.0ms (2.7%)

Memory

-17.1MiB live, 127.0MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	931
1	742	894
2	2486	890
3	7642	890
0	8226	821

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

Calls

Call 1

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

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

rewrite239.0ms (3.9%)

Memory

5.7MiB live, 195.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	205
0	59	195
1	284	169
2	2368	169
0	8164	169

Stop Event

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

Counts

18 → 581

Calls

Call 1

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

Outputs
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (-.f64 (fma.f64 (-.f64 (log.f64 z) z) y (*.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) z) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 (log.f64 z) z) y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (+.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (fma.f64 (-.f64 (log.f64 z) z) y y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) (.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 (-.f64 (log.f64 z) z) y (*.f64 #s(literal 1/2 binary64) x)) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (log.f64 z) z) y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (-.f64 (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (log.f64 z) z) y y)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)))) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64)) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) (.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))))
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eval101.0ms (1.6%)

Memory: -1.4MiB live, 127.4MiB allocated; 17ms collecting garbage
Compiler: Compiled 22 196 to 2 307 computations (89.6% saved)

prune24.0ms (0.4%)

Memory

-13.6MiB live, 45.2MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	555	6	561
Fresh	2	6	8
Picked	2	3	5
Done	0	2	2
Total	559	17	576

Accuracy

100.0%

Counts

576 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))) y (*.f64 #s(literal 1/2 binary64) x))
▶	61.5%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
	95.0%	(fma.f64 (.f64 (/.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (.f64 x #s(literal 1/2 binary64)))
▶	99.5%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
▶	74.3%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
✓	40.1%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
▶	61.6%	#s(approx (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (fma.f64 (-.f64 (log.f64 z) z) y y))
✓	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
✓	64.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
	73.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
	64.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)) y))
✓	36.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
	60.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) x) y #s(literal 1/2 binary64))) x))
▶	30.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
✓	26.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
	25.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
	26.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (+.f64 (*.f64 (log.f64 z) y) y)))

Compiler

Compiled 740 to 512 computations (30.8% saved)

simplify139.0ms (2.3%)

Memory

29.6MiB live, 166.5MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log.f64 z) y)
cost-diff	0	#s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
cost-diff	0	(log.f64 z)
cost-diff	0	(-.f64 (log.f64 z) z)
cost-diff	0	(fma.f64 (-.f64 (log.f64 z) z) y y)
cost-diff	0	#s(approx (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (fma.f64 (-.f64 (log.f64 z) z) y y))
cost-diff	0	(*.f64 (/.f64 (neg.f64 y) x) z)
cost-diff	0	#s(approx (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x)
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (+ (log z) 1) z) (neg.f64 z))
cost-diff	0	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (+ (log z) 1) z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z))
cost-diff	0	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
cost-diff	4	(*.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	278
0	67	276
1	117	271
2	212	271
3	498	271
4	1010	271
5	1707	271
6	3201	259
7	4189	259
8	6644	259
0	8140	255

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (2.1%)

Memory

14.3MiB live, 198.7MiB allocated; 39ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 z)
accuracy	0.078125	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
accuracy	0.23828125	(*.f64 (log.f64 z) y)
accuracy	29.76146697627053	#s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y))
accuracy	0.0	(log.f64 z)
accuracy	0.01171875	(-.f64 (log.f64 z) z)
accuracy	0.12109375	(fma.f64 (-.f64 (log.f64 z) z) y y)
accuracy	24.546946296359984	#s(approx (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0.0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
accuracy	3.5717183429455392	(*.f64 (/.f64 (neg.f64 y) x) z)
accuracy	6.4008907255411875	(.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x)
accuracy	39.49849438104588	#s(approx (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(neg.f64 z)
accuracy	0.0546875	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
accuracy	31.57952020817215	#s(approx (- (+ (log z) 1) z) (neg.f64 z))
accuracy	0.00390625	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.0546875	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
accuracy	0.23828125	(/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.3671356226220839	(*.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z)

Samples

108.0ms

256×

valid

Compiler

Compiled 202 to 36 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-neg: 31.0ms (40.7% of total)

ival-mult: 19.0ms (25% of total)

ival-add: 13.0ms (17.1% of total)

ival-div: 5.0ms (6.6% of total)

ival-sub: 4.0ms (5.3% of total)

ival-log: 3.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series143.0ms (2.3%)

Memory

-28.8MiB live, 120.8MiB allocated; 36ms collecting garbage

Counts

22 → 81

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	((* (- (/ (+ (log z) 1) z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (- (/ (+ (log z) 1) z) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (* (/ (neg y) x) z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* (log z) y) (/ (+ (log z) 1) z) (+ (log z) 1))
33.0ms	y	@	-inf	((* (- (/ (+ (log z) 1) z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (- (/ (+ (log z) 1) z) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (* (/ (neg y) x) z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* (log z) y) (/ (+ (log z) 1) z) (+ (log z) 1))
20.0ms	z	@	-inf	((* (- (/ (+ (log z) 1) z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (- (/ (+ (log z) 1) z) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (* (/ (neg y) x) z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* (log z) y) (/ (+ (log z) 1) z) (+ (log z) 1))
13.0ms	z	@	inf	((* (- (/ (+ (log z) 1) z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (- (/ (+ (log z) 1) z) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (* (/ (neg y) x) z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* (log z) y) (/ (+ (log z) 1) z) (+ (log z) 1))
10.0ms	y	@	0	((* (- (/ (+ (log z) 1) z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (- (/ (+ (log z) 1) z) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (* (/ (neg y) x) z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* (log z) y) (/ (+ (log z) 1) z) (+ (log z) 1))

simplify163.0ms (2.6%)

Memory

-5.8MiB live, 135.2MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	917
1	790	862
2	2812	846
0	8787	786

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 81

Calls

Call 1

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

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

rewrite234.0ms (3.8%)

Memory

29.8MiB live, 177.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	248
0	67	246
1	282	241
2	2161	241
0	8090	237

Stop Event

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

Counts

22 → 281

Calls

Call 1

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

Outputs
(.f64 (/.f64 z (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 2 binary64))) z)) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))))
(/.f64 (neg.f64 (.f64 z (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 z (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))))
(/.f64 (.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 2 binary64))) z) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 3 binary64))) z) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(/.f64 (.f64 z (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 2 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)))
(/.f64 (.f64 z (expm1.f64 (.f64 (-.f64 (log1p.f64 (log.f64 z)) (log.f64 z)) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) (.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (.f64 #s(literal -1/2 binary64) x))) (.f64 (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (.f64 #s(literal -1/2 binary64) x)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (.f64 #s(literal -1/2 binary64) x)) (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64))) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64)) (.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)) (.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z)))) (pow.f64 (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))) #s(literal 2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 y #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1 binary64)) z))))
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(fma.f64 #s(literal 1 binary64) (log.f64 z) #s(literal 1 binary64))
(fma.f64 (log.f64 z) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 z))))
(-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (log.f64 z) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 #s(literal 1 binary64) (log.f64 z)))) (pow.f64 (fma.f64 (log.f64 z) (log.f64 z) (-.f64 #s(literal 1 binary64) (log.f64 z))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (log.f64 z))
(+.f64 (log.f64 z) #s(literal 1 binary64))

eval55.0ms (0.9%)

Memory: -6.5MiB live, 84.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 13 720 to 1 579 computations (88.5% saved)

prune40.0ms (0.6%)

Memory

3.7MiB live, 51.1MiB allocated; 1ms collecting garbage

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	368	5	373
Fresh	2	5	7
Picked	0	5	5
Done	0	5	5
Total	370	20	390

Accuracy

100.0%

Counts

390 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.5%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
✓	99.5%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
	99.5%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (log.f64 z) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
	63.7%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 #s(approx (- (/ (+ (log z) 1) z) 1) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) z)) y (.f64 #s(literal 1/2 binary64) x))
✓	74.3%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
✓	40.1%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
✓	61.6%	#s(approx (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (fma.f64 (-.f64 (log.f64 z) z) y y))
✓	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
✓	64.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
	73.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
	64.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)) y))
✓	36.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
	60.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) x) y #s(literal 1/2 binary64))) x))
	30.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (/.f64 (*.f64 (neg.f64 y) z) x)) x))
✓	30.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
	26.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (neg.f64 y) (/.f64 z x))) x))
✓	26.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
	25.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
	26.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (+.f64 (*.f64 (log.f64 z) y) y)))
	53.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (*.f64 (fma.f64 (-.f64 (log.f64 z) z) x x) (/.f64 y x))))

Compiler

Compiled 1 386 to 550 computations (60.3% saved)

regimes105.0ms (1.7%)

Memory

-5.9MiB live, 141.8MiB allocated; 18ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

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

Calls

7 calls:

40.0ms	z
17.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
11.0ms	x
9.0ms	(*.f64 x #s(literal 1/2 binary64))
9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
99.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes66.0ms (1.1%)

Memory

-30.0MiB live, 71.8MiB allocated; 7ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

7 calls:

22.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
18.0ms	y
5.0ms	z
5.0ms	(*.f64 x #s(literal 1/2 binary64))
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
99.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes49.0ms (0.8%)

Memory

3.2MiB live, 94.7MiB allocated; 6ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

18.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
7.0ms	x
5.0ms	(*.f64 x #s(literal 1/2 binary64))
5.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
5.0ms	z

Results

Accuracy	Segments	Branch
98.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
89.5%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
85.1%	3	`(*.f64 x #s(literal 1/2 binary64))`
81.7%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
85.1%	3	`x`
86.0%	3	`y`
98.3%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes16.0ms (0.3%)

Memory

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

Counts

12 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))

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

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))

Calls

4 calls:

4.0ms	z
4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
4.0ms	y
4.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

Accuracy	Segments	Branch
86.0%	3	`y`
83.0%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
82.3%	3	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
82.3%	3	`z`

Compiler

Compiled 16 to 21 computations (-31.3% saved)

regimes72.0ms (1.2%)

Memory

-37.5MiB live, 56.3MiB allocated; 21ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))

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

Calls

6 calls:

34.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
23.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
82.3%	3	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
82.3%	3	`z`
74.3%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
74.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
74.3%	1	`x`
74.3%	1	`y`

Compiler

Compiled 20 to 29 computations (-45% saved)

regimes12.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
3.0ms	z
3.0ms	y
3.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

Accuracy	Segments	Branch
74.3%	1	`y`
74.3%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
74.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
74.3%	1	`z`

Compiler

Compiled 20 to 24 computations (-20% saved)

regimes18.0ms (0.3%)

Memory

-19.3MiB live, 24.4MiB allocated; 11ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))

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

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))

Calls

7 calls:

9.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms	x

Results

Accuracy	Segments	Branch
61.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
64.9%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
54.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
55.0%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
54.7%	3	`x`
61.5%	2	`z`
58.2%	3	`y`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	x
1.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))

Results

Accuracy	Segments	Branch
40.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
40.1%	1	`x`
40.1%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
40.1%	1	`y`
40.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
40.1%	1	`z`
40.1%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch15.0ms (0.2%)

Memory

-20.9MiB live, 24.8MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.03311594498445246	6.489238250273271

Samples

7.0ms

112×

valid

Compiler

Compiled 260 to 227 computations (12.7% saved)

Precisions

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

ival-log: 1.0ms (23.6% of total)

ival-add: 1.0ms (23.6% of total)

ival-mult: 1.0ms (23.6% of total)

ival-sub: 0.0ms (0% 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)

bsearch31.0ms (0.5%)

Memory

40.5MiB live, 40.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6942069568653455e-61	1.6465845845156908e-58
14.0ms	-1.734637570633356e+26	-34128552927383425000.0

Samples

17.0ms

272×

valid

Compiler

Compiled 593 to 510 computations (14% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (29.2% of total)

ival-mult: 3.0ms (29.2% of total)

ival-add: 2.0ms (19.4% of total)

ival-sub: 1.0ms (9.7% 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)

bsearch24.0ms (0.4%)

Memory

-20.1MiB live, 25.9MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.838135833822611e-165	6.1787218334176495e-164
11.0ms	3.714750391336831e-279	1.5663012683891915e-278

Samples

14.0ms

192×

valid

Compiler

Compiled 543 to 425 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 3.0ms (34.3% of total)

ival-add: 2.0ms (22.9% of total)

ival-mult: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.4% 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)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.267195440878104e+146	2.0353176288909587e+160
0.0ms	-2.154030216656365e+88	-1.6299199088850013e+81

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify59.0ms (0.9%)

Memory

-23.7MiB live, 28.1MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	269
1	113	269
2	179	269
3	318	269
4	525	269
5	789	269
6	1675	269
7	2304	269
8	2565	269
9	2695	269
10	2703	269
11	2703	269

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 z #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal -25500000000000001988100096 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (if (<=.f64 y #s(literal 565391060729083/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))))
(if (<=.f64 z #s(literal 6003487651080437/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 z #s(literal 1893216478301953/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -19999999999999999188334489127007254629839921792969028793394780196134078459019088510320640 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 z #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal -25500000000000001988100096 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (if (<=.f64 y #s(literal 565391060729083/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))))
(if (or (<=.f64 y #s(literal -25500000000000001988100096 binary64)) (not (<=.f64 y #s(literal 565391060729083/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)))) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 z #s(literal 6003487651080437/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 z #s(literal 1893216478301953/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 z #s(literal 6003487651080437/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 z #s(literal 1893216478301953/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* 1/2 x) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -19999999999999999188334489127007254629839921792969028793394780196134078459019088510320640 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))))
(if (or (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -19999999999999999188334489127007254629839921792969028793394780196134078459019088510320640 binary64)) (not (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)))) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 y) z)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))

derivations553.0ms (8.9%)

Memory

32.9MiB live, 373.0MiB allocated; 104ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	2022
1	1314	1850
2	4761	1781
0	8198	1704
0	82	258
1	279	238
2	1051	237
3	4528	235
0	8324	216
0	11	31
0	17	31
1	72	31
2	598	31
0	8142	30

Stop Event

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

Compiler

Compiled 269 to 67 computations (75.1% saved)

preprocess102.0ms (1.7%)

Memory: -24.6MiB live, 160.9MiB allocated; 30ms collecting garbage
Compiler: Compiled 586 to 176 computations (70% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.5s (24.1%)

explain116.0ms (1.9%)

preprocess133.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (0.9%)

localize29.0ms (0.5%)

series111.0ms (1.8%)

simplify123.0ms (2%)

rewrite185.0ms (3%)

eval73.0ms (1.2%)

prune14.0ms (0.2%)

simplify150.0ms (2.4%)

localize112.0ms (1.8%)

series99.0ms (1.6%)

simplify223.0ms (3.6%)

rewrite210.0ms (3.4%)

eval111.0ms (1.8%)

prune24.0ms (0.4%)

simplify169.0ms (2.7%)

localize80.0ms (1.3%)

series113.0ms (1.8%)

simplify169.0ms (2.7%)

rewrite239.0ms (3.9%)

eval101.0ms (1.6%)

prune24.0ms (0.4%)

simplify139.0ms (2.3%)

localize128.0ms (2.1%)

series143.0ms (2.3%)

simplify163.0ms (2.6%)

rewrite234.0ms (3.8%)

eval55.0ms (0.9%)

prune40.0ms (0.6%)

regimes105.0ms (1.7%)

regimes66.0ms (1.1%)

regimes49.0ms (0.8%)

regimes16.0ms (0.3%)

regimes72.0ms (1.2%)

regimes12.0ms (0.2%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch31.0ms (0.5%)

bsearch24.0ms (0.4%)

bsearch1.0ms (0%)

simplify59.0ms (0.9%)

derivations553.0ms (8.9%)

preprocess102.0ms (1.7%)

end0.0ms (0%)

Profiling