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

analyze2.0ms (0%)

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 16 to 12 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (9%)

Results

933.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 580.0ms

ival-log: 241.0ms (41.5% of total)

ival-mult: 138.0ms (23.8% of total)

ival-add: 119.0ms (20.5% of total)

ival-sub: 65.0ms (11.2% of total)

const: 14.0ms (2.4% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess281.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

3424×	`sum5-define`
2934×	`fnmadd-define`
2054×	`fmsub-define`
1996×	`fnmsub-define`
1992×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	119
1	140	111
2	476	110
3	1815	110
4	7885	110
0	11	11
1	28	11
2	71	11
3	162	11
4	398	10
5	1027	10
6	2202	10
7	3612	10
8	5953	10
9	7206	10
10	7746	10
11	7871	10
0	9457	10

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
(fnmsub x -1/2 (- (* y (- z (log z))) y))
(+ (* (neg x) 1/2) (* y (+ (- 1 z) (log z))))
(fnmsub x 1/2 (- (* y (- z (log z))) y))
(+ (* x 1/2) (* (neg y) (+ (- 1 z) (log z))))
(fnmsub y (- 1 (- z (log z))) (* x -1/2))
(+ (* x 1/2) (* y (+ (- 1 (neg z)) (log (neg z)))))
(fmsub y (sum3 1 z (log (neg z))) (* x -1/2))
(neg (+ (* (neg x) 1/2) (* y (+ (- 1 z) (log z)))))
(fnmsub y (- 1 (- z (log z))) (* x -1/2))
(neg (+ (* x 1/2) (* (neg y) (+ (- 1 z) (log z)))))
(fnmsub x 1/2 (- (* y (- z (log z))) y))
(neg (+ (* x 1/2) (* y (+ (- 1 (neg z)) (log (neg z))))))
(fnmsub y (sum3 1 z (log (neg z))) (* x 1/2))
(+ (* y 1/2) (* x (+ (- 1 z) (log z))))
(fma x (- 1 (- z (log z))) (* 1/2 y))
(+ (* z 1/2) (* y (+ (- 1 x) (log x))))
(fma 1/2 z (* y (- 1 (- x (log x)))))
(+ (* x 1/2) (* z (+ (- 1 y) (log y))))
(fmsub z (sum3 1 (neg y) (log y)) (* x -1/2))

explain97.0ms (0.7%)

FPErrors

Click to see full error table

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

Results

53.0ms

512×

valid

Compiler

Compiled 101 to 35 computations (65.3% saved)

Precisions

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

ival-mult: 8.0ms (31% of total)

ival-log: 7.0ms (27.2% of total)

ival-add: 7.0ms (27.2% of total)

ival-sub: 3.0ms (11.6% of total)

const: 1.0ms (3.9% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

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) (log.f64 z)) z)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify178.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2410×	`fnmadd-define`
1942×	`fmsub-define`
1834×	`fnmsub-define`
1824×	`fma-lowering-fma.f32`
1824×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	22	39
2	49	39
3	121	37
4	333	37
5	792	37
6	1746	37
7	3865	37
8	5202	37
9	6737	37
0	8045	37

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize44.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)
✓	accuracy	99.8%	(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))

Results

33.0ms

256×

valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

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

ival-log: 5.0ms (33.3% of total)

ival-add: 5.0ms (33.3% of total)

ival-mult: 4.0ms (26.7% of total)

ival-sub: 1.0ms (6.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series80.0ms (0.6%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (+ (* x 1/2) (* y (- (+ 1 (log z)) z)))>
#<alt (* x 1/2)>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (- (+ 1 (log z)) z)>
#<alt (log z)>

Outputs
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	(* y (- (+ 1 (log z)) z))
13.0ms	z	@	-inf	(log z)
8.0ms	z	@	0	(log z)
5.0ms	x	@	0	(+ (* x 1/2) (* y (- (+ 1 (log z)) z)))
5.0ms	z	@	0	(+ (* x 1/2) (* y (- (+ 1 (log z)) z)))

rewrite3.1s (23.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5348×	`-lowering-.f32`
5348×	`-lowering-.f64`
3540×	`/-lowering-/.f32`
3540×	`/-lowering-/.f64`
2000×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	59	30
2	560	30
0	8757	30

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 194

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(+.f64 y (+.f64 (.f64 y (-.f64 (log.f64 z) z)) (.f64 x #s(literal 1/2 binary64))))
(+.f64 y (+.f64 (.f64 (-.f64 (log.f64 z) z) y) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))) (neg.f64 (/.f64 (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (+.f64 (neg.f64 (.f64 y z)) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (+.f64 (neg.f64 (.f64 z y)) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (log.f64 z) z) y))
(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))) (neg.f64 (*.f64 y z)))
(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))) (neg.f64 (*.f64 z y)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))) (/.f64 (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64)) (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (.f64 x #s(literal -1/2 binary64)))))))))
(neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 3 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) (.f64 x #s(literal -1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 3 binary64)))))
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(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)) (.f64 z z))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 9 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 6 binary64)) (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 6 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 6 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (.f64 z z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 z) z) (-.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64))) (+.f64 (.f64 z z) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (+.f64 (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)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) (/.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))) (.f64 (/.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) (/.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 9 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 6 binary64)) (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 6 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 z (*.f64 z z))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 6 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (*.f64 z z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)))))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))))
(.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 z) z) (-.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(log.f64 z)
(*.f64 #s(literal 1 binary64) (log.f64 z))
(*.f64 (log.f64 z) #s(literal 1 binary64))

simplify194.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2760×	`-lowering-.f32`
2760×	`-lowering-.f64`
1758×	`fnmadd-define`
1414×	`times-frac`
1028×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	783
1	269	758
2	911	705
3	3421	669
0	8721	669

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

Outputs
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(+.f64 (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (+.f64 (.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))))) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (+.f64 (.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))))) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) (+.f64 (.f64 y (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))))) (*.f64 x #s(literal -1/2 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* y (+ 1 (log z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(*.f64 y (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(*.f64 y (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) z))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(*.f64 y (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) z))
(+ 1 (log z))
(+.f64 #s(literal 1 binary64) (log.f64 z))
(+ 1 (+ (log z) (* -1 z)))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(+ 1 (+ (log z) (* -1 z)))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(+ 1 (+ (log z) (* -1 z)))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) z)
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(* -1 (log (/ 1 z)))
(log.f64 z)
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #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)))
(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #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)))

eval32.0ms (0.2%)

Compiler: Compiled 7769 to 787 computations (89.9% saved)

prune69.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	277	13	290
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	13	291

Accuracy

100.0%

Counts

291 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 x #s(literal 1/2 binary64)))
	40.5%	(-.f64 #s(literal 0 binary64) (*.f64 y z))
	99.9%	(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))) (neg.f64 (*.f64 z y)))
	99.8%	(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (log.f64 z) z) y))
▶	82.5%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z)) y) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))
	82.5%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
	66.3%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 z) z) (-.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64))))))
▶	99.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))
	75.1%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
	85.4%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) y)))
	60.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
▶	64.0%	(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
▶	36.6%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 446 to 302 computations (32.3% saved)

simplify175.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) y)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	13376	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))
✓	cost-diff	13376	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z)) y) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
✓	cost-diff	128	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(-.f64 z (log.f64 z))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(-.f64 (log.f64 z) z)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
✓	cost-diff	6272	(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 x #s(literal 1/2 binary64)))

Rules

2080×	`-lowering-.f32`
2080×	`-lowering-.f64`
2022×	`fma-lowering-fma.f32`
2022×	`fma-lowering-fma.f64`
1986×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	180
1	63	179
2	145	171
3	453	171
4	1960	171
5	6861	171
0	8405	171

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize397.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z))
✓	accuracy	99.2%	(pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))
✓	accuracy	95.7%	(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) y)
✓	accuracy	86.6%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))
✓	accuracy	100.0%	(-.f64 (log.f64 z) z)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(-.f64 z (log.f64 z))
✓	accuracy	99.8%	(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(-.f64 (log.f64 z) z)
✓	accuracy	99.9%	(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 x #s(literal 1/2 binary64)))

Results

349.0ms

256×

valid

Compiler

Compiled 213 to 28 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 14.0ms (29.9% of total)

ival-mult: 10.0ms (21.4% of total)

ival-sub: 6.0ms (12.8% of total)

ival-div: 5.0ms (10.7% of total)

ival-log: 4.0ms (8.5% of total)

compiled-spec: 4.0ms (8.5% of total)

ival-pow: 3.0ms (6.4% of total)

const: 1.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts

17 → 324

Calls

Call 1

Inputs
#<alt (+ (* (+ 1 (- (log z) z)) y) (* x 1/2))>
#<alt (+ 1 (- (log z) z))>
#<alt (- (log z) z)>
#<alt (log z)>
#<alt (* 1/2 x)>
#<alt (* y (- 1 (- z (log z))))>
#<alt (- 1 (- z (log z)))>
#<alt (- z (log z))>
#<alt (+ (* x 1/2) (/ y (/ 1 (+ 1 (- (log z) z)))))>
#<alt (/ y (/ 1 (+ 1 (- (log z) z))))>
#<alt (* x 1/2)>
#<alt (/ 1 (+ 1 (- (log z) z)))>
#<alt (+ (* x 1/2) (/ (* (- (pow (+ 1 (log z)) 2) (* z z)) y) (+ 1 (+ (log z) z))))>
#<alt (/ (* (- (pow (+ 1 (log z)) 2) (* z z)) y) (+ 1 (+ (log z) z)))>
#<alt (* (- (pow (+ 1 (log z)) 2) (* z z)) y)>
#<alt (pow (+ 1 (log z)) 2)>
#<alt (- (pow (+ 1 (log z)) 2) (* z z))>

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

Calls

81 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* x 1/2) (/ (* (- (pow (+ 1 (log z)) 2) (* z z)) y) (+ 1 (+ (log z) z))))
1.0ms	y	@	inf	(+ (* x 1/2) (/ (* (- (pow (+ 1 (log z)) 2) (* z z)) y) (+ 1 (+ (log z) z))))
1.0ms	z	@	inf	(+ (* x 1/2) (/ (* (- (pow (+ 1 (log z)) 2) (* z z)) y) (+ 1 (+ (log z) z))))
1.0ms	z	@	-inf	(+ (* x 1/2) (/ (* (- (pow (+ 1 (log z)) 2) (* z z)) y) (+ 1 (+ (log z) z))))
1.0ms	y	@	-inf	(+ (* x 1/2) (/ (* (- (pow (+ 1 (log z)) 2) (* z z)) y) (+ 1 (+ (log z) z))))

rewrite468.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4694×	`-lowering-.f32`
4694×	`-lowering-.f64`
2948×	`+-lowering-+.f64`
2948×	`+-lowering-+.f32`
2692×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	120
1	200	120
2	2206	112
0	10152	112

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 635

Calls

Call 1

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

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

simplify304.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3930×	`+-lowering-+.f64`
3930×	`+-lowering-+.f32`
3872×	`-lowering-.f32`
3872×	`-lowering-.f64`
1602×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	3976
1	731	3535
2	2575	3387
0	8317	3387

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
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(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
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(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(.f64 z (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)))))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
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(* 1/2 x)
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(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
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(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))
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(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
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(* y (- (+ 1 (log z)) z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) x)))
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(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) x)))
(* 1/2 x)
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(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (+.f64 z (-.f64 #s(literal -1 binary64) (log.f64 z)))) x)) (-.f64 #s(literal 0 binary64) x))
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(+ 1 (log z))
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(+ 1 (+ (log z) (* -1 z)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)
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(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)
(+ 1 (+ (log z) (* -1 z)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)
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(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
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(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
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(* -1 z)
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(log z)
(log.f64 z)
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(-.f64 (log.f64 z) z)
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(-.f64 (log.f64 z) z)
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(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) z)))
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(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) z)))
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(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) z)))
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(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) z)))
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(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) z)))
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(log z)
(log.f64 z)
(log z)
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(* -1 (log (/ 1 z)))
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(log.f64 z)
(* -1 (log (/ 1 z)))
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(+ (log -1) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 #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)))
(* 1/2 x)
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(-.f64 #s(literal 0 binary64) (*.f64 z z))
(* (pow z 2) (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64)) (*.f64 z z))))
(* (pow z 2) (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64)) (*.f64 z z))))
(* (pow z 2) (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) (pow z 2)) 1))
(.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64)) (*.f64 z z))))

eval154.0ms (1.2%)

Compiler: Compiled 24689 to 1851 computations (92.5% saved)

prune144.0ms (1.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1177	12	1189
Fresh	4	4	8
Picked	3	2	5
Done	0	0	0
Total	1184	18	1202

Accuracy

100.0%

Counts

1202 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64))) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))
▶	49.9%	(/.f64 (.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z))) (+.f64 z (+.f64 #s(literal 1 binary64) (log.f64 z))))
	63.9%	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
	40.5%	(-.f64 #s(literal 0 binary64) (*.f64 y z))
	63.9%	(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
	75.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
	85.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))
	75.1%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
	85.4%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z))) y)))
	60.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
	52.7%	(.f64 (/.f64 y (+.f64 z (+.f64 #s(literal 1 binary64) (log.f64 z)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)))
▶	55.8%	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z))))
✓	64.0%	(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
▶	39.7%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
▶	88.8%	(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))
▶	25.5%	(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
	88.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) x)))
✓	36.6%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 523 to 355 computations (32.1% saved)

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z))
✓	cost-diff	0	(.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)))
✓	cost-diff	13376	(/.f64 (.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z))) (+.f64 z (+.f64 #s(literal 1 binary64) (log.f64 z))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z))
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)))
✓	cost-diff	256	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z))))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (log.f64 z))
✓	cost-diff	0	(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)))
✓	cost-diff	0	(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))

Rules

2034×	`sum4-define`
1686×	`-lowering-.f32`
1686×	`-lowering-.f64`
1408×	`sum3-define`
1400×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	187
1	79	180
2	211	177
3	732	173
4	2954	167
0	8118	167

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize146.0ms (1.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (*.f64 z z))
✓	accuracy	99.2%	(pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))
✓	accuracy	95.7%	(.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)))
✓	accuracy	86.6%	(/.f64 (.f64 y (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z))) (+.f64 z (+.f64 #s(literal 1 binary64) (log.f64 z))))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)
✓	accuracy	99.4%	(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)))
✓	accuracy	88.9%	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (log.f64 z))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	99.6%	(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)))
✓	accuracy	88.8%	(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))

Results

95.0ms

256×

valid

Compiler

Compiled 198 to 30 computations (84.8% saved)

Precisions

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

ival-mult: 14.0ms (36.3% of total)

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

ival-sub: 6.0ms (15.6% of total)

ival-add: 5.0ms (13% of total)

ival-log: 4.0ms (10.4% of total)

ival-pow: 3.0ms (7.8% of total)

const: 1.0ms (2.6% of total)

backward-pass: 0.0ms (0% of total)

series47.0ms (0.4%)

Counts

17 → 348

Calls

Call 1

Inputs
#<alt (* y (+ (log z) (+ 1 (- (/ (* 1/2 x) y) z))))>
#<alt (+ (log z) (+ 1 (- (/ (* 1/2 x) y) z)))>
#<alt (log z)>
#<alt (+ 1 (- (/ (* 1/2 x) y) z))>
#<alt (* y (- 1 z))>
#<alt (- 1 z)>
#<alt (* y (+ 1 (log z)))>
#<alt (+ 1 (log z))>
#<alt (* z (* y (- -1 (/ (- -1 (log z)) z))))>
#<alt (* y (- -1 (/ (- -1 (log z)) z)))>
#<alt (- -1 (/ (- -1 (log z)) z))>
#<alt (/ (- -1 (log z)) z)>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (* z z))) (+ z (+ 1 (log z))))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (* z z)))>
#<alt (- (pow (+ 1 (log z)) 2) (* z z))>
#<alt (pow (+ 1 (log z)) 2)>
#<alt (* 1/2 x)>

Outputs
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (+ (log z) (* 1/2 (/ x y))))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (+ (log z) (* 1/2 (/ x y))))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (+ (log z) (* 1/2 (/ x y))))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (+ (* -1 (log (/ 1 z))) (* 1/2 (/ x y))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (+ (* -1 (log (/ 1 z))) (* 1/2 (/ x y))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (+ (* -1 (log (/ 1 z))) (* 1/2 (/ x y))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 z))) (* 1/2 (/ x y)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 z))) (* 1/2 (/ x y)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 z))) (* 1/2 (/ x y)))))) z)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (+ 1 (+ (log z) (* 1/2 (/ x y))))>
#<alt (+ 1 (+ (log z) (+ (* -1 z) (* 1/2 (/ x y)))))>
#<alt (+ 1 (+ (log z) (+ (* -1 z) (* 1/2 (/ x y)))))>
#<alt (+ 1 (+ (log z) (+ (* -1 z) (* 1/2 (/ x y)))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (+ (* 1/2 (/ x (* y z))) (/ 1 z))) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (+ (* 1/2 (/ x (* y z))) (/ 1 z))) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (+ (* 1/2 (/ x (* y z))) (/ 1 z))) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 z))) (* 1/2 (/ x y))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 z))) (* 1/2 (/ x y))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 z))) (* 1/2 (/ x y))))) z)))))>
#<alt (- (+ 1 (log z)) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))>
#<alt (* x (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))>
#<alt (* x (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) y)>
#<alt (/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) y)>
#<alt (/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) y)>
#<alt (- (+ 1 (log z)) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (- (+ 1 (log z)) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (- 1 z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (- (+ (/ 1 x) (* 1/2 (/ 1 y))) (/ z x)))>
#<alt (* x (- (+ (/ 1 x) (* 1/2 (/ 1 y))) (/ z x)))>
#<alt (* x (- (+ (/ 1 x) (* 1/2 (/ 1 y))) (/ z x)))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 z) x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* y (- 1 z))) y)>
#<alt (/ (+ (* 1/2 x) (* y (- 1 z))) y)>
#<alt (/ (+ (* 1/2 x) (* y (- 1 z))) y)>
#<alt (- 1 z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (- 1 z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (- (+ 1 (* 1/2 (/ x y))) z)>
#<alt (+ 1 (* 1/2 (/ x y)))>
#<alt (+ 1 (+ (* -1 z) (* 1/2 (/ x y))))>
#<alt (+ 1 (+ (* -1 z) (* 1/2 (/ x y))))>
#<alt (+ 1 (+ (* -1 z) (* 1/2 (/ x y))))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 1/2 (/ x (* y z))) (/ 1 z)) 1))>
#<alt (* z (- (+ (* 1/2 (/ x (* y z))) (/ 1 z)) 1))>
#<alt (* z (- (+ (* 1/2 (/ x (* y z))) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ x y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ x y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ x y))) z)))))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (* -1 (log (/ 1 z)))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (* -1 (log (/ 1 z))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (* z (+ 1 (* -1 (/ (+ 1 (log z)) z))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1 (log z)) z)))))>
#<alt (/ (* y (+ 1 (log z))) z)>
#<alt (/ (+ (* -1 (* y z)) (* y (+ 1 (log z)))) z)>
#<alt (/ (+ (* -1 (* y z)) (* y (+ 1 (log z)))) z)>
#<alt (/ (+ (* -1 (* y z)) (* y (+ 1 (log z)))) z)>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))>
#<alt (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))>
#<alt (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))>
#<alt (+ (* -1 y) (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))>
#<alt (+ (* -1 y) (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (- (* -1 z) (* -1 (+ 1 (log z)))) z)>
#<alt (/ (- (* -1 z) (* -1 (+ 1 (log z)))) z)>
#<alt (/ (- (* -1 z) (* -1 (+ 1 (log z)))) z)>
#<alt -1>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1)>
#<alt -1>
#<alt (- (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z))) 1)>
#<alt (* -1 (/ (+ 1 (log z)) z))>
#<alt (* -1 (/ (+ 1 (log z)) z))>
#<alt (* -1 (/ (+ 1 (log z)) z))>
#<alt (* -1 (/ (+ 1 (log z)) z))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z))>
#<alt (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (/ (* y (- (pow (+ 1 (log z)) 2) (pow z 2))) (+ 1 (+ z (log z))))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (- (pow (+ 1 (log z)) 2) (pow z 2)))>
#<alt (* y (pow (+ 1 (log z)) 2))>
#<alt (+ (* -1 (* y (pow z 2))) (* y (pow (+ 1 (log z)) 2)))>
#<alt (+ (* -1 (* y (pow z 2))) (* y (pow (+ 1 (log z)) 2)))>
#<alt (+ (* -1 (* y (pow z 2))) (* y (pow (+ 1 (log z)) 2)))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (pow (+ 1 (* -1 (log (/ 1 z)))) 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (pow (+ 1 (* -1 (log (/ 1 z)))) 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (pow (+ 1 (* -1 (log (/ 1 z)))) 2)) (pow z 2))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)) (pow z 2))))>
#<alt (pow (+ 1 (log z)) 2)>
#<alt (+ (* -1 (pow z 2)) (pow (+ 1 (log z)) 2))>
#<alt (+ (* -1 (pow z 2)) (pow (+ 1 (log z)) 2))>
#<alt (+ (* -1 (pow z 2)) (pow (+ 1 (log z)) 2))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2)) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) (pow z 2)) 1))>
#<alt (pow (+ 1 (log z)) 2)>
#<alt (pow (+ 1 (log z)) 2)>
#<alt (pow (+ 1 (log z)) 2)>
#<alt (pow (+ 1 (log z)) 2)>
#<alt (pow (+ 1 (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ 1 (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ 1 (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ 1 (* -1 (log (/ 1 z)))) 2)>
#<alt (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)>
#<alt (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)>
#<alt (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)>
#<alt (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>

Calls

87 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	(* y (+ (log z) (+ 1 (- (/ (* 1/2 x) y) z))))
4.0ms	z	@	inf	(/ (- -1 (log z)) z)
4.0ms	z	@	-inf	(/ (- -1 (log z)) z)
3.0ms	z	@	inf	(* y (+ 1 (log z)))
1.0ms	y	@	0	(* z (* y (- -1 (/ (- -1 (log z)) z))))

rewrite396.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4522×	`-lowering-.f32`
4522×	`-lowering-.f64`
2734×	`/-lowering-/.f32`
2734×	`/-lowering-/.f64`
2490×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	141
1	198	135
2	1974	131
0	8764	131

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 551

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) (.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)))
(+.f64 (.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z) y))
(+.f64 (.f64 y (log.f64 z)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))) (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (.f64 y (log.f64 z)))
(fma.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)) (.f64 y (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)))
(fma.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z) y))
(fma.f64 (log.f64 z) y (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) y (.f64 y (log.f64 z)))
(fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) y (.f64 y (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)))
(fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) y (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z) y))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 3 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)))) (.f64 y (.f64 y y)))) (+.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)))) (.f64 (.f64 y (log.f64 z)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))) (-.f64 (.f64 y (log.f64 z)) (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)))))
(/.f64 (.f64 y (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)))))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)) (log.f64 z)))))
(/.f64 (.f64 y (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))) (-.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))) y) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z)) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)) (log.f64 z)))))
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(fma.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) y (.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) y))
(/.f64 (.f64 y (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)))))
(/.f64 (.f64 y (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z))))) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) y) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z)))) y) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z)))
(.f64 y (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)))
(.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) y)
(+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(+.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (*.f64 z z)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z))
(-.f64 (/.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z))))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z))))
(fma.f64 z (-.f64 #s(literal 0 binary64) z) (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 #s(literal -1 binary64) (*.f64 z z) (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (+.f64 (log.f64 z) (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 z z)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) z (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 z z)))
(fma.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)))) (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z)))) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)))) (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z))))) #s(literal -1 binary64))
(*.f64 (+.f64 (log.f64 z) (+.f64 z #s(literal 1 binary64))) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))
(.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 6 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z))))))
(.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 z z))))
(+.f64 (.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (log.f64 z)) (.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (log.f64 z)))
(+.f64 (.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) #s(literal 1 binary64))) (.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 z))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (log.f64 z))) #s(literal 1 binary64)))
(fma.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) #s(literal 1 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal 1 binary64))))
(fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (log.f64 z) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (log.f64 z)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 z))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64))))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 z)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (log.f64 z) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (+.f64 (log.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (log.f64 z)))
(pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (log.f64 z)))
(*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 z) (+.f64 (log.f64 z) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 z))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

simplify250.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

4386×	`-lowering-.f32`
4386×	`-lowering-.f64`
2092×	`+-lowering-+.f64`
2092×	`+-lowering-+.f32`
1444×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3393
1	630	3100
2	2099	2953
0	8023	2953

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval131.0ms (1%)

Compiler: Compiled 29945 to 2680 computations (91.1% saved)

prune126.0ms (1%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1034	11	1045
Fresh	5	6	11
Picked	3	2	5
Done	0	2	2
Total	1042	21	1063

Accuracy

100.0%

Counts

1063 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y) (-.f64 #s(literal 1 binary64) (log.f64 z)))
	10.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
	26.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
	25.6%	(/.f64 (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))) (+.f64 z (+.f64 #s(literal 1 binary64) (log.f64 z))))
	63.9%	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
	40.5%	(-.f64 #s(literal 0 binary64) (*.f64 y z))
	25.5%	(+.f64 (*.f64 y (log.f64 z)) y)
▶	75.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
▶	85.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))
	75.1%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
▶	60.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
	60.0%	(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)) (.f64 y z))
	55.8%	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal -1 binary64) (log.f64 z)))))))
▶	55.8%	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z)))))
✓	64.0%	(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓	39.7%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
	49.8%	(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
✓	25.5%	(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
	25.6%	(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓	36.6%	(*.f64 #s(literal 1/2 binary64) x)
▶	1.8%	y

Compiler

Compiled 512 to 352 computations (31.3% saved)

simplify205.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z)))
✓	cost-diff	128	(*.f64 y (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z))))
✓	cost-diff	384	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (log.f64 z))
✓	cost-diff	0	(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) z)
✓	cost-diff	0	(/.f64 y (/.f64 #s(literal -1 binary64) z))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))
✓	cost-diff	128	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
✓	cost-diff	128	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))

Rules

2080×	`-lowering-.f32`
2080×	`-lowering-.f64`
1838×	`fma-define`
1826×	`+-lowering-+.f64`
1826×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	213
1	79	210
2	209	203
3	705	199
4	2296	192
0	8687	192

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize237.0ms (1.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z))
✓	accuracy	99.6%	(/.f64 (log.f64 z) z)
✓	accuracy	99.4%	(*.f64 y (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z))))
✓	accuracy	88.9%	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z)))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
✓	accuracy	99.6%	(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal -1 binary64) z))
✓	accuracy	99.7%	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z)))
✓	accuracy	99.6%	(pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64))))
✓	accuracy	76.5%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))

Results

97.0ms

256×

valid

Compiler

Compiled 224 to 30 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 13.0ms (29.2% of total)

ival-div: 9.0ms (20.2% of total)

ival-mult: 9.0ms (20.2% of total)

ival-sub: 6.0ms (13.5% of total)

ival-log: 4.0ms (9% of total)

ival-pow: 3.0ms (6.7% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series102.0ms (0.8%)

Counts

18 → 348

Calls

Call 1

Inputs
#<alt (+ (* x 1/2) (/ y (* (/ 1 (- 1 (pow (- (log z) z) 2))) (+ (- 1 (log z)) z))))>
#<alt (/ y (* (/ 1 (- 1 (pow (- (log z) z) 2))) (+ (- 1 (log z)) z)))>
#<alt (* (/ 1 (- 1 (pow (- (log z) z) 2))) (+ (- 1 (log z)) z))>
#<alt (* x 1/2)>
#<alt (+ (* x 1/2) (/ y (/ -1 z)))>
#<alt (/ y (/ -1 z))>
#<alt (/ -1 z)>
#<alt (+ (* x 1/2) (* y (+ 1 (log z))))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ 1 (log z))>
#<alt (* z (* y (- -1 (- (/ -1 z) (/ (log z) z)))))>
#<alt (* y (- -1 (- (/ -1 z) (/ (log z) z))))>
#<alt (- -1 (- (/ -1 z) (/ (log z) z)))>
#<alt (- (/ -1 z) (/ (log z) z))>
#<alt (/ 1 (- 1 (pow (- (log z) z) 2)))>
#<alt (pow (- (log z) z) 2)>
#<alt (log z)>
#<alt (/ (log z) z)>

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

Calls

87 calls:

Time	Variable		Point	Expression
73.0ms	z	@	0	(* z (* y (- -1 (- (/ -1 z) (/ (log z) z)))))
2.0ms	z	@	inf	(+ (* x 1/2) (/ y (* (/ 1 (- 1 (pow (- (log z) z) 2))) (+ (- 1 (log z)) z))))
1.0ms	z	@	-inf	(+ (* x 1/2) (/ y (* (/ 1 (- 1 (pow (- (log z) z) 2))) (+ (- 1 (log z)) z))))
1.0ms	y	@	0	(* z (* y (- -1 (- (/ -1 z) (/ (log z) z)))))
1.0ms	z	@	0	(+ (* x 1/2) (/ y (* (/ 1 (- 1 (pow (- (log z) z) 2))) (+ (- 1 (log z)) z))))

rewrite597.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2728×	`fma-lowering-fma.f32`
2728×	`fma-lowering-fma.f64`
2510×	`-lowering-.f32`
2510×	`-lowering-.f64`
1898×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	150
1	224	145
2	2518	143
0	8271	143

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 377

Calls

Call 1

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

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

simplify414.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4086×	`-lowering-.f32`
4086×	`-lowering-.f64`
3022×	`+-lowering-+.f64`
3022×	`+-lowering-+.f32`
1846×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	5735
1	1801	5254
2	6969	5225
0	8529	5225

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

eval132.0ms (1%)

Compiler: Compiled 18105 to 2029 computations (88.8% saved)

prune128.0ms (1%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	810	10	820
Fresh	1	11	12
Picked	1	4	5
Done	0	4	4
Total	812	29	841

Accuracy

100.0%

Counts

841 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (.f64 x #s(literal 1/2 binary64))))
	14.6%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))))
	25.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y) (-.f64 #s(literal 1 binary64) (log.f64 z)))
	10.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
	26.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
	25.6%	(/.f64 (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))) (+.f64 z (+.f64 #s(literal 1 binary64) (log.f64 z))))
	63.9%	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
	24.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))))
	64.0%	(-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (.f64 y z))
	75.1%	(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
	40.5%	(-.f64 #s(literal 0 binary64) (*.f64 y z))
	25.5%	(+.f64 (*.f64 y (log.f64 z)) y)
✓	75.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
	61.5%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) z))))
	75.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
✓	60.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
	24.6%	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))))
	60.0%	(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)) (.f64 y z))
	64.7%	(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) y))
	55.8%	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal -1 binary64) (log.f64 z)))))))
✓	55.8%	(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z)))))
✓	64.0%	(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓	39.7%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
	49.8%	(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
✓	25.5%	(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
	25.6%	(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
	70.0%	(.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)))
✓	36.6%	(*.f64 #s(literal 1/2 binary64) x)
✓	1.8%	y

Compiler

Compiled 1132 to 479 computations (57.7% saved)

regimes107.0ms (0.8%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

7 calls:

18.0ms	x
17.0ms	(*.f64 x #s(literal 1/2 binary64))
14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
14.0ms	z
14.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

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

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes96.0ms (0.7%)

Counts

36 → 1

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) y))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
(-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (.f64 y z))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)) (.f64 y z))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (log.f64 z) z) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) x)))
(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) z))))
(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (log.f64 z) z)))))
(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal -1 binary64) (log.f64 z)))))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)))))
(+.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))) (neg.f64 (*.f64 z y)))

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

Calls

7 calls:

29.0ms	z
11.0ms	x
11.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
11.0ms	(*.f64 x #s(literal 1/2 binary64))
10.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

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

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes36.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) y))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))))
(-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (.f64 y z))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(.f64 y (+.f64 (log.f64 z) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(.f64 z (.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 z)) z)) (.f64 y z))

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

Calls

4 calls:

9.0ms	(*.f64 x #s(literal 1/2 binary64))
9.0ms	y
8.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
87.4%	3	`x`
87.7%	3	`y`
99.3%	2	`z`
87.4%	3	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes18.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) y))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)

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

Calls

2 calls:

8.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
87.7%	3	`y`
78.1%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) y))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) y))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+.f64 (*.f64 y (log.f64 z)) y)

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

Calls

4 calls:

8.0ms	z
7.0ms	(*.f64 x #s(literal 1/2 binary64))
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
78.1%	2	`z`
75.1%	1	`x`
75.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
75.1%	1	`y`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0%)

Counts

17 → 1

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) y))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (+.f64 z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(literal 1/2 binary64))))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
75.1%	1	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x y)))

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

Calls

3 calls:

4.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
51.3%	3	`x`
58.3%	3	`y`
66.6%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
y
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(*.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

3.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
36.6%	1	`x`
36.6%	1	`y`
36.6%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
1.8%	1	`y`
1.8%	1	`z`
1.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.113291213329364e-6	9.092716499124986e-5

Results

9.0ms

96×

valid

Compiler

Compiled 171 to 130 computations (24% saved)

Precisions

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

ival-add: 3.0ms (50.6% of total)

ival-log: 1.0ms (16.9% of total)

ival-mult: 1.0ms (16.9% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.776970623280515e-74	1.3055435950910153e-70
14.0ms	-1.2698642963526673e+160	-1.2350117970793145e+157

Results

19.0ms

256×

valid

Compiler

Compiled 389 to 280 computations (28% saved)

Precisions

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

ival-mult: 4.0ms (35% of total)

ival-log: 3.0ms (26.2% of total)

ival-add: 2.0ms (17.5% of total)

ival-sub: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.776970623280515e-74	1.3055435950910153e-70
16.0ms	-1.2698642963526673e+160	-1.2350117970793145e+157

Results

25.0ms

256×

valid

Compiler

Compiled 389 to 288 computations (26% saved)

Precisions

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

ival-mult: 6.0ms (43.5% of total)

ival-log: 3.0ms (21.8% of total)

ival-add: 2.0ms (14.5% of total)

ival-sub: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	7.183559245320556e-251	1.3927496702195468e-249

Results

9.0ms

112×

valid

Compiler

Compiled 168 to 128 computations (23.8% saved)

Precisions

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

ival-mult: 2.0ms (40.1% of total)

ival-sub: 1.0ms (20.1% of total)

ival-log: 1.0ms (20.1% of total)

ival-add: 1.0ms (20.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.1681041236821452e+50	1.6385610388441385e+51

Results

7.0ms

96×

valid

Compiler

Compiled 117 to 94 computations (19.7% saved)

Precisions

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

ival-sub: 1.0ms (24% of total)

ival-log: 1.0ms (24% of total)

ival-add: 1.0ms (24% of total)

ival-mult: 1.0ms (24% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

294×	`unsub-neg_binary64`
162×	`distribute-lft-neg-in_binary64`
148×	`neg-mul-1_binary64`
86×	`distribute-neg-in_binary64`
84×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	139
1	81	139
2	103	139
3	120	139
4	147	139
5	170	139
6	202	139
7	322	139
8	446	139
9	468	139
10	511	139
11	573	139
12	647	139
13	745	139
14	767	139
15	771	139

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(if (<=.f64 z #s(literal 6640827866535439/73786976294838206464 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z)))
(if (<=.f64 y #s(literal -12800000000000000091855763723650154292231869592212519911259234834720084695102507536418125694025752234289481448101985553441290436381372060921949907670670508032 binary64)) (+.f64 (.f64 y (-.f64 (log.f64 z) z)) y) (if (<=.f64 y #s(literal 8081502591659033/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z)) (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(if (<=.f64 y #s(literal -12499999999999999410916931706401375999680772847732260397385673468723244029900723383624462375427063847048413757686866552623120413945975275251329660965955305472 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (if (<=.f64 y #s(literal 1398721602402525/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z)) (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(if (<=.f64 z #s(literal 5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y z)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(if (<=.f64 z #s(literal 139999999999999989912490343389331290490965642444800 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) x)
y

Outputs
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)) y (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 z #s(literal 6640827866535439/73786976294838206464 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z)))
(if (<=.f64 z #s(literal 6640827866535439/73786976294838206464 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 z y)))
(if (<=.f64 y #s(literal -12800000000000000091855763723650154292231869592212519911259234834720084695102507536418125694025752234289481448101985553441290436381372060921949907670670508032 binary64)) (+.f64 (.f64 y (-.f64 (log.f64 z) z)) y) (if (<=.f64 y #s(literal 8081502591659033/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z)) (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(if (<=.f64 y #s(literal -12800000000000000091855763723650154292231869592212519911259234834720084695102507536418125694025752234289481448101985553441290436381372060921949907670670508032 binary64)) (+.f64 y (.f64 (-.f64 (log.f64 z) z) y)) (if (<=.f64 y #s(literal 8081502591659033/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 z y)) (.f64 y (+.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -12499999999999999410916931706401375999680772847732260397385673468723244029900723383624462375427063847048413757686866552623120413945975275251329660965955305472 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (if (<=.f64 y #s(literal 1398721602402525/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z)) (.f64 y (-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))))
(if (<=.f64 y #s(literal -12499999999999999410916931706401375999680772847732260397385673468723244029900723383624462375427063847048413757686866552623120413945975275251329660965955305472 binary64)) (.f64 y (+.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1398721602402525/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 z y)) (.f64 y (+.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (log.f64 z))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y z)))
(if (<=.f64 z #s(literal 5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) (.f64 y (+.f64 (log.f64 z) #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 z y)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y z))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 z y))
(if (<=.f64 z #s(literal 139999999999999989912490343389331290490965642444800 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal 139999999999999989912490343389331290490965642444800 binary64)) (.f64 x #s(literal 1/2 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
y

soundness2.5s (18.9%)

Rules

5348×	`-lowering-.f32`
5348×	`-lowering-.f64`
4694×	`-lowering-.f32`
4694×	`-lowering-.f64`
4386×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	197	3393
1	630	3100
2	2099	2953
0	8023	2953
0	11	30
1	59	30
2	560	30
0	8757	30
0	513	5735
1	1801	5254
2	6969	5225
0	8529	5225
0	224	3976
1	731	3535
2	2575	3387
0	8317	3387
0	82	783
1	269	758
2	911	705
3	3421	669
0	8721	669
0	28	120
1	200	120
2	2206	112
0	10152	112
0	11	11
1	28	11
2	71	11
3	162	11
4	398	10
5	1027	10
6	2202	10
7	3612	10
8	5953	10
9	7206	10
10	7746	10
11	7871	10
0	9457	10

Stop Event

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

Compiler

Compiled 714 to 456 computations (36.1% saved)

preprocess140.0ms (1.1%)

Compiler: Compiled 358 to 130 computations (63.7% saved)

Iter	Nodes	Cost
0	47	139
1	81	139
2	103	139
3	120	139
4	147	139
5	170	139
6	202	139
7	322	139
8	446	139
9	468	139
10	511	139
11	573	139
12	647	139
13	745	139
14	767	139
15	771	139

Iter	Nodes	Cost
0	47	139
1	81	139
2	103	139
3	120	139
4	147	139
5	170	139
6	202	139
7	322	139
8	446	139
9	468	139
10	511	139
11	573	139
12	647	139
13	745	139
14	767	139
15	771	139

analyze2.0ms (0%)

sample1.2s (9%)

preprocess281.0ms (2.1%)

explain97.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify178.0ms (1.4%)

localize44.0ms (0.3%)

series80.0ms (0.6%)

rewrite3.1s (23.8%)

simplify194.0ms (1.5%)

eval32.0ms (0.2%)

prune69.0ms (0.5%)

simplify175.0ms (1.3%)

localize397.0ms (3%)

series20.0ms (0.2%)

rewrite468.0ms (3.6%)

simplify304.0ms (2.3%)

eval154.0ms (1.2%)

prune144.0ms (1.1%)

simplify140.0ms (1.1%)

localize146.0ms (1.1%)

series47.0ms (0.4%)

rewrite396.0ms (3%)

simplify250.0ms (1.9%)

eval131.0ms (1%)

prune126.0ms (1%)

simplify205.0ms (1.6%)

localize237.0ms (1.8%)

series102.0ms (0.8%)

rewrite597.0ms (4.6%)

simplify414.0ms (3.2%)

eval132.0ms (1%)

prune128.0ms (1%)

regimes107.0ms (0.8%)

regimes96.0ms (0.7%)

regimes36.0ms (0.3%)

regimes18.0ms (0.1%)

regimes9.0ms (0.1%)

regimes29.0ms (0.2%)

regimes6.0ms (0%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch39.0ms (0.3%)

bsearch36.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch12.0ms (0.1%)

simplify41.0ms (0.3%)

soundness2.5s (18.9%)

preprocess140.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	47	139
1	81	139
2	103	139
3	120	139
4	147	139
5	170	139
6	202	139
7	322	139
8	446	139
9	468	139
10	511	139
11	573	139
12	647	139
13	745	139
14	767	139
15	771	139