Metrics for Logistic regression 2

analyze110.0ms (0.9%)

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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-log: 12.0ms (30% of total)

ival-exp: 8.0ms (20% of total)

ival-mult: 8.0ms (20% of total)

ival-add: 6.0ms (15% of total)

ival-sub: 5.0ms (12.5% of total)

const: 1.0ms (2.5% of total)

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

sample4.6s (37.4%)

Results

3.1s	2587×	5	exit
744.0ms	7613×	0	valid
199.0ms	643×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-log: 1.7s (53.7% of total)

ival-sub: 548.0ms (17.3% of total)

backward-pass: 326.0ms (10.3% of total)

ival-exp: 220.0ms (6.9% of total)

ival-mult: 195.0ms (6.2% of total)

ival-add: 152.0ms (4.8% of total)

const: 27.0ms (0.9% of total)

Bogosity

preprocess59.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

592×	`fnmadd-define`
380×	`fmsub-define`
376×	`fma-define`
372×	`fnmsub-define`
346×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	48
1	64	46
2	121	40
3	299	38
4	640	38
5	1050	38
6	1552	38
7	1858	38
8	1941	38
9	1952	38
0	8	7
1	18	7
2	29	6
3	48	6
4	70	6
5	135	6
6	244	6
7	355	6
8	494	6
9	759	6
10	909	6
11	941	6
12	942	6
0	942	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))

Outputs
(- (log (+ 1 (exp x))) (* x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Call 2

Inputs
(- (log (+ 1 (exp x))) (* x y))
(- (log (+ 1 (exp (neg x)))) (* (neg x) y))
(- (log (+ 1 (exp x))) (* x (neg y)))
(neg (- (log (+ 1 (exp (neg x)))) (* (neg x) y)))
(neg (- (log (+ 1 (exp x))) (* x (neg y))))
(- (log (+ 1 (exp y))) (* y x))

Outputs
(- (log (+ 1 (exp x))) (* x y))
(fnmadd x y (log1p (exp x)))
(- (log (+ 1 (exp (neg x)))) (* (neg x) y))
(fma x y (log1p (recip (exp x))))
(- (log (+ 1 (exp x))) (* x (neg y)))
(fma x y (log1p (exp x)))
(neg (- (log (+ 1 (exp (neg x)))) (* (neg x) y)))
(fnmsub x y (log1p (recip (exp x))))
(neg (- (log (+ 1 (exp x))) (* x (neg y))))
(fnmsub x y (log1p (exp x)))
(- (log (+ 1 (exp y))) (* y x))
(fnmadd x y (log1p (exp y)))

explain213.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	-	-	`x`
0	-	-	`(*.f64 x y)`
0	-	-	`(exp.f64 x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Results

117.0ms	146×	2	valid
41.0ms	336×	0	valid
11.0ms	30×	1	valid

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log: 71.0ms (67.4% of total)

backward-pass: 8.0ms (7.6% of total)

ival-mult: 8.0ms (7.6% of total)

ival-exp: 7.0ms (6.6% of total)

ival-add: 5.0ms (4.7% of total)

ival-sub: 4.0ms (3.8% of total)

const: 1.0ms (0.9% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(log1p.f64 (exp.f64 x))
✓	cost-diff	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Rules

246×	`sum3-define`
244×	`fnmadd-define`
204×	`fma-define`
156×	`fma-lowering-fma.f32`
156×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	18	17
2	29	16
3	48	16
4	70	16
5	135	16
6	244	16
7	355	16
8	494	16
9	759	16
10	909	16
11	941	16
12	942	16
0	942	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))
(log (+ 1 (exp x)))
(exp x)
x
(* x y)
y

Outputs
(- (log (+ 1 (exp x))) (* x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
x
(* x y)
(*.f64 x y)
y

localize102.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	98.9%	(log1p.f64 (exp.f64 x))

Results

41.0ms	67×	5	exit
40.0ms	168×	0	valid
10.0ms	20×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

compiled-spec: 34.0ms (40.4% of total)

ival-add: 21.0ms (24.9% of total)

ival-log: 10.0ms (11.9% of total)

backward-pass: 8.0ms (9.5% of total)

ival-mult: 7.0ms (8.3% of total)

ival-exp: 3.0ms (3.6% of total)

ival-sub: 2.0ms (2.4% of total)

const: 0.0ms (0% of total)

series68.0ms (0.6%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (- (log (+ 1 (exp x))) (* x y))>
#<alt (log (+ 1 (exp x)))>
#<alt (exp x)>
#<alt (* x y)>

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt (log (+ 1 (exp x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(log (+ 1 (exp x)))
23.0ms	x	@	inf	(log (+ 1 (exp x)))
8.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
5.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))
2.0ms	x	@	-inf	(- (log (+ 1 (exp x))) (* x y))

rewrite258.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2996×	`-lowering-.f32`
2996×	`-lowering-.f64`
1398×	`sum5-define`
1258×	`pow-lowering-pow.f64`
1258×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	43	15
2	327	14
3	3143	14
0	8469	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))
(log (+ 1 (exp x)))
(exp x)
(* x y)

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 x y)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 x y))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(fma.f64 (log1p.f64 (exp.f64 x)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 x y))))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))) (neg.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (-.f64 (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))
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(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))) (log1p.f64 (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (log1p.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (exp.f64 (.f64 x #s(literal 4 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (log1p.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))) (.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x))))
(exp.f64 x)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)

simplify215.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2134×	`fma-lowering-fma.f32`
2134×	`fma-lowering-fma.f64`
2006×	`fmsub-define`
2004×	`fnmsub-define`
1942×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	363
1	180	338
2	470	338
3	1676	338
4	5643	338
0	8077	338

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(-.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval25.0ms (0.2%)

Compiler: Compiled 5973 to 618 computations (89.7% saved)

prune26.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	216	7	223
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	216	8	224

Accuracy

99.7%

Counts

224 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.1%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	83.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
	72.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
▶	78.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
▶	54.5%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
	47.4%	(log1p.f64 (exp.f64 x))
▶	47.3%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 145 to 112 computations (22.8% saved)

simplify173.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
✓	cost-diff	(-.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))

Rules

3704×	`sum5-define`
2034×	`sum4-define`
1330×	`fnmadd-define`
1278×	`fma-lowering-fma.f32`
1278×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	87
1	50	85
2	106	84
3	250	84
4	604	84
5	2146	84
6	3108	84
7	4804	84
8	6991	84
9	7045	84
10	7053	84
0	8193	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (log (+ 1 1)) (* x y))
(log (+ 1 1))
1
(* x y)
x
y
(* x (- 0 y))
x
(- 0 y)
0
y
(log 2)
2
(+ (log 2) (* x (- 1/2 y)))
(log 2)
2
(* x (- 1/2 y))
x
(- 1/2 y)
1/2
y
(+ (log 2) (* x (+ 1/2 (- (* x 1/8) y))))
(log 2)
2
(* x (+ 1/2 (- (* x 1/8) y)))
x
(+ 1/2 (- (* x 1/8) y))
1/2
(- (* x 1/8) y)
(* x 1/8)
1/8
y

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

localize111.0ms (0.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))

Results

78.0ms

256×

valid

Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions

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

ival-mult: 9.0ms (28% of total)

ival-log: 6.0ms (18.7% of total)

compiled-spec: 6.0ms (18.7% of total)

ival-sub: 5.0ms (15.6% of total)

ival-add: 5.0ms (15.6% of total)

const: 1.0ms (3.1% of total)

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

series16.0ms (0.1%)

Counts

13 → 228

Calls

Call 1

Inputs
#<alt (- (log (+ 1 1)) (* x y))>
#<alt (log (+ 1 1))>
#<alt (* x y)>
#<alt (* x (- 0 y))>
#<alt (- 0 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (- 1/2 y)>
#<alt (+ (log 2) (* x (+ 1/2 (- (* x 1/8) y))))>
#<alt (* x (+ 1/2 (- (* x 1/8) y)))>
#<alt (+ 1/2 (- (* x 1/8) y))>
#<alt (* x 1/8)>

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (+ 1/2 (* 1/8 x)))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (- 1/2 y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(- (log (+ 1 1)) (* x y))
1.0ms	y	@	0	(- (log (+ 1 1)) (* x y))
0.0ms	x	@	-inf	(+ (log 2) (* x (- 1/2 y)))
0.0ms	x	@	-inf	(+ (log 2) (* x (+ 1/2 (- (* x 1/8) y))))
0.0ms	y	@	0	(+ (log 2) (* x (+ 1/2 (- (* x 1/8) y))))

rewrite311.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3240×	`/-lowering-/.f32`
3240×	`/-lowering-/.f64`
3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
2432×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	126	61
2	1187	60
0	8508	60

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 351

Calls

Call 1

Inputs
(- (log (+ 1 1)) (* x y))
(log (+ 1 1))
(* x y)
(* x (- 0 y))
(- 0 y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(- 1/2 y)
(+ (log 2) (* x (+ 1/2 (- (* x 1/8) y))))
(* x (+ 1/2 (- (* x 1/8) y)))
(+ 1/2 (- (* x 1/8) y))
(* x 1/8)

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 y (.f64 x y)))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))) (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x y) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))))))
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(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (+.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal -1/2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (+.f64 (.f64 y y) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))))
(.f64 (+.f64 (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) y) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal -1/2 binary64))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 0 binary64))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal 0 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)

simplify222.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2310×	`fma-lowering-fma.f32`
2310×	`fma-lowering-fma.f64`
1870×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1538
1	406	1413
2	1314	1396
3	5385	1384
0	8360	1384

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (+ 1/2 (* 1/8 x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(* -1 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y))
(+ (log 2) (* 1/2 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
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(.f64 y (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
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(-.f64 #s(literal 1/2 binary64) y)
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(* y (- (* 1/2 (/ 1 y)) 1))
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(* -1 y)
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(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
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(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
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(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
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(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
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(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
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(* -1 (* x y))
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(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/8 binary64))) y)))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
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(* -1 (* x y))
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(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))) y)))
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(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* x (- (+ 1/2 (* 1/8 x)) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* x (- (+ 1/2 (* 1/8 x)) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* x (+ 1/2 (* 1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* -1 (* x y))
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(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(.f64 y (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
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(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(.f64 y (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(* -1 (* x y))
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(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(.f64 y (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
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(.f64 y (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(- (+ 1/2 (* 1/8 x)) y)
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(- (+ 1/2 (* 1/8 x)) y)
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(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* 1/8 x)
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(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(+ 1/2 (* 1/8 x))
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(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) y)))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))

eval123.0ms (1%)

Compiler: Compiled 12731 to 1281 computations (89.9% saved)

prune67.0ms (0.5%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	565	16	581
Fresh	0	2	2
Picked	2	3	5
Done	0	1	1
Total	567	22	589

Accuracy

99.7%

Counts

589 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	22.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
	56.1%	(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))
▶	12.8%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
▶	28.6%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
	54.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.1%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	72.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
✓	78.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
	51.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	47.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	12.7%	(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
	26.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	5.9%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
	38.8%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	30.8%	(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
	6.9%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
▶	54.5%	(*.f64 x (neg.f64 y))
	47.4%	(log1p.f64 (exp.f64 x))
✓	47.3%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 577 to 345 computations (40.2% saved)

simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 #s(literal 0 binary64) (.f64 x y))
✓	cost-diff	384	(+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))
✓	cost-diff	512	(+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y))))
✓	cost-diff	1536	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y))
✓	cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) x)
✓	cost-diff	512	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 0 binary64) y) y)
✓	cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)
✓	cost-diff	256	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	-64	(*.f64 x (neg.f64 y))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y)))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))

Rules

2480×	`-lowering-.f32`
2480×	`-lowering-.f64`
2182×	`/-lowering-/.f32`
2182×	`/-lowering-/.f64`
1758×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	187
1	119	156
2	361	154
3	1655	154
4	7650	154
0	8334	154

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))
(log 2)
2
(* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))
x
(+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))
1/2
(- (* x (+ 1/8 (* -1/192 (* x x)))) y)
(* x (+ 1/8 (* -1/192 (* x x))))
(+ 1/8 (* -1/192 (* x x)))
1/8
(* -1/192 (* x x))
-1/192
(* x x)
y
(* x (neg y))
x
(neg y)
y
(/ (* (* (- 0 y) y) x) y)
(* (* (- 0 y) y) x)
(* (- 0 y) y)
(- 0 y)
0
y
x
(/ (* (* (- 0 y) (* y y)) x) (* y y))
(* (* (- 0 y) (* y y)) x)
(* (- 0 y) (* y y))
(- 0 y)
0
y
(* y y)
x
(/ (- 0 (* (* x y) (* x (* y (* x y))))) (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y)))))
(- 0 (* (* x y) (* x (* y (* x y)))))
0
(* (* x y) (* x (* y (* x y))))
(* x y)
x
y
(* x (* y (* x y)))
(* y (* x y))
(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
(+ (* x (* y (* x y))) (* 0 (* x y)))
(* 0 (* x y))

Outputs
(+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) y))))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))
(.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) y)))
x
(+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))
(+.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(- (* x (+ 1/8 (* -1/192 (* x x)))) y)
(-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)
(* x (+ 1/8 (* -1/192 (* x x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))
(+ 1/8 (* -1/192 (* x x)))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
1/8
#s(literal 1/8 binary64)
(* -1/192 (* x x))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
-1/192
#s(literal -1/192 binary64)
(* x x)
(*.f64 x x)
y
(* x (neg y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
x
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
(/ (* (* (- 0 y) y) x) y)
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* (* (- 0 y) y) x)
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))
(* (- 0 y) y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
x
(/ (* (* (- 0 y) (* y y)) x) (* y y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* (* (- 0 y) (* y y)) x)
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (*.f64 y y))))
(* (- 0 y) (* y y))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(* y y)
(*.f64 y y)
x
(/ (- 0 (* (* x y) (* x (* y (* x y))))) (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y)))))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(- 0 (* (* x y) (* x (* y (* x y)))))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y))))))
0
#s(literal 0 binary64)
(* (* x y) (* x (* y (* x y))))
(.f64 x (.f64 x (.f64 x (.f64 y (*.f64 y y)))))
(* x y)
(*.f64 x y)
x
y
(* x (* y (* x y)))
(.f64 x (.f64 x (*.f64 y y)))
(* y (* x y))
(.f64 x (.f64 y y))
(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
(.f64 x (.f64 x (*.f64 y y)))
(+ (* x (* y (* x y))) (* 0 (* x y)))
(.f64 x (.f64 x (*.f64 y y)))
(* 0 (* x y))
#s(literal 0 binary64)

localize251.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 y (.f64 x y))
✓	accuracy	93.3%	(.f64 x (.f64 y (*.f64 x y)))
✓	accuracy	91.5%	(.f64 #s(literal 0 binary64) (.f64 x y))
✓	accuracy	32.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y))
✓	accuracy	91.8%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) x)
✓	accuracy	38.2%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 0 binary64) y) y)
✓	accuracy	88.6%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)
✓	accuracy	75.7%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal -1/192 binary64) (.f64 x x))

Results

195.0ms

256×

valid

Compiler

Compiled 269 to 36 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 28.0ms (47.6% of total)

ival-add: 6.0ms (10.2% of total)

ival-sub: 6.0ms (10.2% of total)

ival-log: 6.0ms (10.2% of total)

ival-div: 5.0ms (8.5% of total)

...c/correct-round.rkt:119:19: 5.0ms (8.5% of total)

const: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

series21.0ms (0.2%)

Counts

23 → 432

Calls

Call 1

Inputs
#<alt (+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))>
#<alt (log 2)>
#<alt (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))>
#<alt (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))>
#<alt (* x (neg y))>
#<alt (neg y)>
#<alt (/ (* (* (- 0 y) y) x) y)>
#<alt (* (* (- 0 y) y) x)>
#<alt (* (- 0 y) y)>
#<alt (- 0 y)>
#<alt (/ (* (* (- 0 y) (* y y)) x) (* y y))>
#<alt (* (* (- 0 y) (* y y)) x)>
#<alt (* (- 0 y) (* y y))>
#<alt (/ (- 0 (* (* x y) (* x (* y (* x y))))) (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y)))))>
#<alt (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))>
#<alt (+ (* x (* y (* x y))) (* 0 (* x y)))>
#<alt (* 0 (* x y))>
#<alt (* -1/192 (* x x))>
#<alt (* x (+ 1/8 (* -1/192 (* x x))))>
#<alt (+ 1/8 (* -1/192 (* x x)))>
#<alt (* y y)>
#<alt (* x (* y (* x y)))>
#<alt (* y (* x y))>

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))>
#<alt (- 1/2 y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)>
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)>
#<alt (* -1/192 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (* x (pow y 3)))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* -1/192 (pow x 2))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/192 (pow x 2))))>
#<alt (* x (+ 1/8 (* -1/192 (pow x 2))))>
#<alt (* x (+ 1/8 (* -1/192 (pow x 2))))>
#<alt (* -1/192 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* -1/192 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

108 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(* (* (- 0 y) y) x)
1.0ms	x	@	0	(* (* (- 0 y) y) x)
1.0ms	x	@	0	(* (* (- 0 y) (* y y)) x)
1.0ms	y	@	0	(+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))
0.0ms	x	@	inf	(* (* (- 0 y) y) x)

rewrite496.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3276×	`-lowering-.f32`
3276×	`-lowering-.f64`
2898×	`/-lowering-/.f32`
2898×	`/-lowering-/.f64`
2160×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	134
1	242	111
2	2238	111
0	8766	111

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 949

Calls

Call 1

Inputs
(+ (log 2) (* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))))
(log 2)
(* x (+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y)))
(+ 1/2 (- (* x (+ 1/8 (* -1/192 (* x x)))) y))
(* x (neg y))
(neg y)
(/ (* (* (- 0 y) y) x) y)
(* (* (- 0 y) y) x)
(* (- 0 y) y)
(- 0 y)
(/ (* (* (- 0 y) (* y y)) x) (* y y))
(* (* (- 0 y) (* y y)) x)
(* (- 0 y) (* y y))
(/ (- 0 (* (* x y) (* x (* y (* x y))))) (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y)))))
(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
(+ (* x (* y (* x y))) (* 0 (* x y)))
(* 0 (* x y))
(* -1/192 (* x x))
(* x (+ 1/8 (* -1/192 (* x x))))
(+ 1/8 (* -1/192 (* x x)))
(* y y)
(* x (* y (* x y)))
(* y (* x y))

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))) (log.f64 #s(literal 2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))) y)) (log.f64 #s(literal 2 binary64))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))) y)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))) y))))))
(-.f64 (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))) y))) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y)) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))) y)) x (log.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))) y))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))))) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))) y))))))
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(fma.f64 (.f64 x y) (.f64 x y) #s(literal 0 binary64))
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(.f64 y (.f64 x (*.f64 x y)))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 (.f64 x (*.f64 y y)) x)
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(.f64 (.f64 x (*.f64 x y)) y)
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)

simplify367.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3702×	`-lowering-.f32`
3702×	`-lowering-.f64`
1652×	`+-lowering-+.f64`
1652×	`+-lowering-+.f32`
1464×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	2846
1	339	2427
2	1179	2306
3	4191	2287
0	8234	2287

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(* -1 y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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(* -1 (* x y))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (pow y 3)))
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(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
(* -1 (* x (pow y 3)))
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(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* -1/192 (pow x 2))
(* 1/8 x)
(* x (+ 1/8 (* -1/192 (pow x 2))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 3))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(* -1/192 (pow x 4))
(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))) #s(literal -1/192 binary64))))
(* -1/192 (pow x 4))
(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) (.f64 x (*.f64 x x))))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y)))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y)))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(.f64 y (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))) y)))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (-.f64 x (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))))) y))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (-.f64 x (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))))) y))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (-.f64 x (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))))) y))))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y)))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y)))
(* -1/192 (pow x 4))
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0
#s(literal 0 binary64)
0
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0
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0
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0
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0
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0
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(* 1/8 x)
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(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
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(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1/192 (pow x 3))
(.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
1/8
#s(literal 1/8 binary64)
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(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
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(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
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(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(pow y 2)
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(.f64 y (.f64 x y))
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(.f64 y (.f64 x y))
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(.f64 y (.f64 x y))
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(.f64 y (.f64 x y))
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(.f64 y (.f64 x y))
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(.f64 y (.f64 x y))
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(.f64 y (.f64 x y))
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(.f64 y (.f64 x y))
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(* x (pow y 2))
(.f64 y (.f64 x y))

eval469.0ms (3.8%)

Compiler: Compiled 40723 to 2566 computations (93.7% saved)

prune559.0ms (4.6%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1535	25	1560
Fresh	3	10	13
Picked	4	1	5
Done	0	4	4
Total	1542	40	1582

Accuracy

99.7%

Counts

1582 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
	5.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
▶	7.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	14.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	4.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
	5.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
	7.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
	16.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
	15.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
	36.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
▶	56.1%	(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))
	3.7%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
	22.3%	(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
▶	22.3%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
	12.8%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
	23.7%	(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
	12.8%	(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
	28.6%	(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
	15.3%	(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
	54.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
▶	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.1%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	78.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
	51.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	47.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	10.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
	19.7%	(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
	13.4%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
	5.0%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	26.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	5.9%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
	38.8%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	30.8%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
▶	6.9%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	54.5%	(*.f64 x (neg.f64 y))
	47.4%	(log1p.f64 (exp.f64 x))
✓	47.3%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 1509 to 777 computations (48.5% saved)

simplify250.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 #s(literal 0 binary64) (.f64 x y))
✓	cost-diff	384	(+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))
✓	cost-diff	512	(+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y))))
✓	cost-diff	1536	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
✓	cost-diff	256	(/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))))
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x)
✓	cost-diff	640	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 0 binary64) y) y)
✓	cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)
✓	cost-diff	256	(/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
✓	cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
✓	cost-diff	0	(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))

Rules

5076×	`-lowering-.f32`
5076×	`-lowering-.f64`
2022×	`+-lowering-+.f64`
2022×	`+-lowering-+.f32`
1400×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	303
1	147	239
2	445	227
3	2525	227
0	8296	227

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))) (+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))))
(+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y))))))
(pow (log 2) 3)
(log 2)
2
3
(* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))
(* x (- 1/2 y))
x
(- 1/2 y)
1/2
y
(* (- 1/2 y) (* x (* x (- 1/2 y))))
(* x (* x (- 1/2 y)))
(+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2))))
(pow (log 2) 2)
(* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))
(+ (* x (- 1/2 y)) (log 1/2))
(log 1/2)
(* x (* x 1/8))
x
(* x 1/8)
1/8
(/ 1 (/ y (* (* (- 0 y) y) x)))
1
(/ y (* (* (- 0 y) y) x))
y
(* (* (- 0 y) y) x)
(* (- 0 y) y)
(- 0 y)
0
x
(/ (* (/ 1 (/ y (* y (- 0 (* y y))))) x) y)
(* (/ 1 (/ y (* y (- 0 (* y y))))) x)
(/ 1 (/ y (* y (- 0 (* y y)))))
1
(/ y (* y (- 0 (* y y))))
y
(* y (- 0 (* y y)))
(- 0 (* y y))
0
(* y y)
x
(/ (- 0 (* (* x y) (* (* y y) (* x x)))) (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y)))))
(- 0 (* (* x y) (* (* y y) (* x x))))
0
(* (* x y) (* (* y y) (* x x)))
(* x y)
x
y
(* (* y y) (* x x))
(* y y)
(* x x)
(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
(+ (* x (* y (* x y))) (* 0 (* x y)))
(* x (* y (* x y)))
(* y (* x y))
(* 0 (* x y))

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

localize257.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.3%	(.f64 x (.f64 y (*.f64 x y)))
✓	accuracy	91.5%	(.f64 #s(literal 0 binary64) (.f64 x y))
✓	accuracy	77.6%	(.f64 (.f64 y y) (*.f64 x x))
✓	accuracy	32.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))))
✓	accuracy	88.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x)
✓	accuracy	83.5%	(/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y))))
✓	accuracy	75.7%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 0 binary64) y) y)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
✓	accuracy	88.6%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)
✓	accuracy	76.1%	(/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
✓	accuracy	96.8%	(.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
✓	accuracy	61.4%	(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))

Results

184.0ms

256×

valid

Compiler

Compiled 401 to 48 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 33.0ms (46.2% of total)

ival-div: 11.0ms (15.4% of total)

ival-pow: 8.0ms (11.2% of total)

ival-log: 7.0ms (9.8% of total)

ival-add: 6.0ms (8.4% of total)

ival-sub: 5.0ms (7% of total)

const: 1.0ms (1.4% of total)

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

series25.0ms (0.2%)

Counts

22 → 396

Calls

Call 1

Inputs
#<alt (/ (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))) (+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))))>
#<alt (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y))))))>
#<alt (pow (log 2) 3)>
#<alt (log 2)>
#<alt (* x (* x 1/8))>
#<alt (* x 1/8)>
#<alt (/ 1 (/ y (* (* (- 0 y) y) x)))>
#<alt (/ y (* (* (- 0 y) y) x))>
#<alt (* (* (- 0 y) y) x)>
#<alt (* (- 0 y) y)>
#<alt (/ (* (/ 1 (/ y (* y (- 0 (* y y))))) x) y)>
#<alt (* (/ 1 (/ y (* y (- 0 (* y y))))) x)>
#<alt (/ 1 (/ y (* y (- 0 (* y y)))))>
#<alt (/ y (* y (- 0 (* y y))))>
#<alt (/ (- 0 (* (* x y) (* (* y y) (* x x)))) (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y)))))>
#<alt (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))>
#<alt (+ (* x (* y (* x y))) (* 0 (* x y)))>
#<alt (* 0 (* x y))>
#<alt (* (- 1/2 y) (* x (* x (- 1/2 y))))>
#<alt (pow (log 2) 2)>
#<alt (* (* y y) (* x x))>
#<alt (* x (* y (* x y)))>

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y))))))
2.0ms	y	@	0	(/ (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))) (+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))))
2.0ms	y	@	-inf	(/ (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))) (+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))))
2.0ms	y	@	inf	(/ (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))) (+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))))
1.0ms	x	@	0	(/ (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))) (+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))))

rewrite323.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2796×	`-lowering-.f32`
2796×	`-lowering-.f64`
2204×	`fma-lowering-fma.f32`
2204×	`fma-lowering-fma.f64`
2022×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	188
1	314	124
2	2816	119
0	9033	119

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 809

Calls

Call 1

Inputs
(/ (+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y)))))) (+ (pow (log 2) 2) (* (* x (- 1/2 y)) (+ (* x (- 1/2 y)) (log 1/2)))))
(+ (pow (log 2) 3) (* (* x (- 1/2 y)) (* (- 1/2 y) (* x (* x (- 1/2 y))))))
(pow (log 2) 3)
(log 2)
(* x (* x 1/8))
(* x 1/8)
(/ 1 (/ y (* (* (- 0 y) y) x)))
(/ y (* (* (- 0 y) y) x))
(* (* (- 0 y) y) x)
(* (- 0 y) y)
(/ (* (/ 1 (/ y (* y (- 0 (* y y))))) x) y)
(* (/ 1 (/ y (* y (- 0 (* y y))))) x)
(/ 1 (/ y (* y (- 0 (* y y)))))
(/ y (* y (- 0 (* y y))))
(/ (- 0 (* (* x y) (* (* y y) (* x x)))) (+ 0 (+ (* x (* y (* x y))) (* 0 (* x y)))))
(+ 0 (+ (* x (* y (* x y))) (* 0 (* x y))))
(+ (* x (* y (* x y))) (* 0 (* x y)))
(* 0 (* x y))
(* (- 1/2 y) (* x (* x (- 1/2 y))))
(pow (log 2) 2)
(* (* y y) (* x x))
(* x (* y (* x y)))

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

simplify298.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3852×	`-lowering-.f32`
3852×	`-lowering-.f64`
2278×	`+-lowering-+.f64`
2278×	`+-lowering-+.f32`
1746×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	4248
1	1334	3619
2	5475	3479
0	8042	3479

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* -1 (/ (* x (* (log 1/2) (- 1/2 y))) (log 2))))
(+ (log 2) (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (log 1/2) 2) (pow (- 1/2 y) 2)) (pow (log 2) 3))) (/ (pow (- 1/2 y) 2) (log 2))))) (/ (* (log 1/2) (- 1/2 y)) (log 2)))))
(+ (log 2) (* x (- (* x (- (* x (- (/ (pow (- 1/2 y) 3) (pow (log 2) 2)) (+ (* -1 (/ (* (log 1/2) (* (+ (* -1 (/ (* (pow (log 1/2) 2) (pow (- 1/2 y) 2)) (pow (log 2) 3))) (/ (pow (- 1/2 y) 2) (log 2))) (- 1/2 y))) (pow (log 2) 2))) (* -1 (/ (* (log 1/2) (pow (- 1/2 y) 3)) (pow (log 2) 3)))))) (+ (* -1 (/ (* (pow (log 1/2) 2) (pow (- 1/2 y) 2)) (pow (log 2) 3))) (/ (pow (- 1/2 y) 2) (log 2))))) (/ (* (log 1/2) (- 1/2 y)) (log 2)))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* -1 (/ (log 1/2) x))) y))
(* x (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow (log 1/2) 2) (- 1/2 y))) (/ (pow (log 2) 2) (- 1/2 y))) (pow x 2)))) (+ y (/ (log 1/2) x))))
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(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (/ (log 1/2) x))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (- (+ (* -1 (/ (pow (log 2) 2) (* x (- 1/2 y)))) (/ (pow (log 1/2) 2) (* x (- 1/2 y)))) (log 1/2)) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (log 2) 3) (pow (- 1/2 y) 2)) (+ (* -1 (/ (* (log 1/2) (pow (log 2) 2)) (pow (- 1/2 y) 2))) (/ (* (log 1/2) (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (/ (pow (log 1/2) 2) (- 1/2 y)))) (- 1/2 y)))) x)) (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (/ (pow (log 1/2) 2) (- 1/2 y)))) x)) (log 1/2)) x)))))
(/ (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))
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(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (+ (* y (- (+ (* -3/4 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (* y (- (+ (* 3/2 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (* y (- (* -1 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (+ (/ (* x (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (- (* 3/2 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (+ (/ (* x (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (- (* -3/4 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (/ (* x (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow (log 2) 3)))) (pow (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2))) (/ (* (pow x 2) (+ (* 1/8 (pow x 3)) (pow (log 2) 3))) (pow (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) 2)))))) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2))) (/ (* (pow x 2) (- (* -3/4 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (/ (* x (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow (log 2) 3)))) (pow (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) 2)))) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2))))))) (+ (/ (* x (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (- (* -3/4 (/ (pow x 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))) (/ (* x (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow (log 2) 3)))) (pow (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2))) (/ (* (pow x 2) (+ (* 1/8 (pow x 3)) (pow (log 2) 3))) (pow (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) 2)))))) (/ (* x (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow (log 2) 3)))) (pow (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) 2)))) (/ (pow (log 2) 3) (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)))))
(* -1 (* x y))
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(* y (- (+ (* -1 x) (+ (* -3/4 (/ x (pow y 2))) (+ (* 1/8 (/ x (pow y 3))) (+ (* 3/2 (/ x y)) (/ (pow (log 2) 3) (* (pow x 2) (pow y 3))))))) (+ (* -1 (/ (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) y)) (+ (* -1 (/ (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) (* x (pow y 2)))) (+ (/ (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (- (* -3/4 x) (+ (* -1 (/ (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) x)) (/ (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (- (* 3/2 x) (* -1 (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x))))) x)))) (* x (pow y 3))) (+ (/ (* (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x)) (- (* 3/2 x) (* -1 (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x))))) (* x (pow y 2))) (/ (* (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) (- (* 3/2 x) (* -1 (+ (* -1 (+ (log 1/2) (* 1/2 x))) (* -1/2 x))))) (* (pow x 2) (pow y 3)))))))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (- (* 3/2 x) (+ x (log 1/2))) y)))))
(* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (- (* 3/4 x) (+ (* 1/2 (+ (log 1/2) (* 1/2 x))) (+ (/ (* (+ x (log 1/2)) (- (* 3/2 x) (+ x (log 1/2)))) x) (/ (pow (log 2) 2) x)))) y)) (* 3/2 x)) (+ x (log 1/2))) y)))))
(* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/8 x) (/ (pow (log 2) 3) (pow x 2))) (+ (/ (* (+ x (log 1/2)) (- (* 3/4 x) (+ (* 1/2 (+ (log 1/2) (* 1/2 x))) (+ (/ (* (+ x (log 1/2)) (- (* 3/2 x) (+ x (log 1/2)))) x) (/ (pow (log 2) 2) x))))) x) (/ (* (+ (* 1/2 (* x (+ (log 1/2) (* 1/2 x)))) (pow (log 2) 2)) (- (* 3/2 x) (+ x (log 1/2)))) (pow x 2)))) y)) (* 3/4 x)) (+ (* 1/2 (+ (log 1/2) (* 1/2 x))) (+ (/ (* (+ x (log 1/2)) (- (* 3/2 x) (+ x (log 1/2)))) x) (/ (pow (log 2) 2) x)))) y)) (* 3/2 x)) (+ x (log 1/2))) y)))))
(pow (log 2) 3)
(+ (* (pow x 3) (pow (- 1/2 y) 3)) (pow (log 2) 3))
(+ (* (pow x 3) (pow (- 1/2 y) 3)) (pow (log 2) 3))
(+ (* (pow x 3) (pow (- 1/2 y) 3)) (pow (log 2) 3))
(* (pow x 3) (pow (- 1/2 y) 3))
(* (pow x 3) (+ (/ (pow (log 2) 3) (pow x 3)) (pow (- 1/2 y) 3)))
(* (pow x 3) (+ (/ (pow (log 2) 3) (pow x 3)) (pow (- 1/2 y) 3)))
(* (pow x 3) (+ (/ (pow (log 2) 3) (pow x 3)) (pow (- 1/2 y) 3)))
(* (pow x 3) (pow (- 1/2 y) 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow (log 2) 3) (pow x 3))) (* -1 (pow (- 1/2 y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow (log 2) 3) (pow x 3))) (* -1 (pow (- 1/2 y) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow (log 2) 3) (pow x 3))) (* -1 (pow (- 1/2 y) 3)))))
(+ (* 1/8 (pow x 3)) (pow (log 2) 3))
(+ (* -3/4 (* (pow x 3) y)) (+ (* 1/8 (pow x 3)) (pow (log 2) 3)))
(+ (* 1/8 (pow x 3)) (+ (* y (+ (* -3/4 (pow x 3)) (* 3/2 (* (pow x 3) y)))) (pow (log 2) 3)))
(+ (* 1/8 (pow x 3)) (+ (* y (+ (* -3/4 (pow x 3)) (* y (+ (* -1 (* (pow x 3) y)) (* 3/2 (pow x 3)))))) (pow (log 2) 3)))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 3)) (* 3/2 (/ (pow x 3) y))))
(* (pow y 3) (+ (* -1 (pow x 3)) (+ (* -3/4 (/ (pow x 3) (pow y 2))) (* 3/2 (/ (pow x 3) y)))))
(* (pow y 3) (+ (* -1 (pow x 3)) (+ (* -3/4 (/ (pow x 3) (pow y 2))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (+ (* 3/2 (/ (pow x 3) y)) (/ (pow (log 2) 3) (pow y 3)))))))
(* -1 (* (pow x 3) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -3/2 (/ (pow x 3) y)) (pow x 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -3/4 (/ (pow x 3) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) y)) (* 3/4 (pow x 3))) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
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(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
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(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(/ -1 (pow y 2))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* 1/4 (pow x 2))
(+ (* -1 (* (pow x 2) y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1 (pow x 2)) (* (pow x 2) y))))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1 (pow x 2)) (* (pow x 2) y))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (pow x 2)) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (pow x 2)) y)) (pow x 2)))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow (- 1/2 y) 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))

Outputs
(log 2)
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(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(+ (* -1 (* (pow x 2) y)) (* 1/4 (pow x 2)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 x y)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1 (pow x 2)) (* (pow x 2) y))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x (*.f64 x y)) (+.f64 #s(literal -1 binary64) y)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1 (pow x 2)) (* (pow x 2) y))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x (*.f64 x y)) (+.f64 #s(literal -1 binary64) y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (.f64 x x) y)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))
(.f64 (.f64 y y) (+.f64 (-.f64 (.f64 x x) (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))
(.f64 (.f64 y y) (+.f64 (-.f64 (.f64 x x) (/.f64 (.f64 x x) y)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) y)) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (.f64 x x) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (pow x 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (pow x 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y)) y)))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow (- 1/2 y) 2))
(.f64 x (.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))

eval192.0ms (1.6%)

Compiler: Compiled 32015 to 2524 computations (92.1% saved)

prune156.0ms (1.3%)

Pruning

49 alts after pruning (43 fresh and 6 done)

	Pruned	Kept	Total
New	1188	25	1213
Fresh	12	18	30
Picked	4	1	5
Done	0	5	5
Total	1204	49	1253

Accuracy

99.7%

Counts

1253 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.5%	(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
	36.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
	3.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
	5.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
	3.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
	7.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
	3.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
	7.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
	7.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
	16.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
	15.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
	28.1%	(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (exp.f64 (.f64 (log.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))
	3.7%	(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
	28.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
	12.8%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
	3.7%	(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
	23.7%	(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
	28.6%	(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
	10.4%	(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
	36.4%	(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
	15.3%	(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
	54.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
	54.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
	8.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
	28.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
	54.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
	15.7%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.1%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	78.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
	51.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	47.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	9.9%	(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
	12.3%	(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
	36.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
	54.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
	26.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
	13.4%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
	5.0%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	26.4%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	83.2%	(.f64 y (+.f64 (-.f64 (/.f64 (.f64 x #s(literal 3/2 binary64)) y) x) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) y)))
	38.8%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	30.8%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
✓	6.9%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	54.5%	(*.f64 x (neg.f64 y))
	47.4%	(log1p.f64 (exp.f64 x))
✓	47.3%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 2420 to 787 computations (67.5% saved)

regimes114.0ms (0.9%)

Counts

75 → 1

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(.f64 y (+.f64 (-.f64 (/.f64 (.f64 x #s(literal 3/2 binary64)) y) x) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) y)))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (exp.f64 (.f64 (log.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

42.0ms	x
42.0ms	y
21.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes69.0ms (0.6%)

Counts

71 → 2

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(.f64 y (+.f64 (-.f64 (/.f64 (.f64 x #s(literal 3/2 binary64)) y) x) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) y)))
(log1p.f64 (exp.f64 x))

Outputs

(*.f64 x (neg.f64 y))

(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y))))

Calls

2 calls:

38.0ms	y
20.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
91.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.3%)

Counts

68 → 2

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))))))

Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

66 → 2

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

64 → 2

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))

Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes47.0ms (0.4%)

Counts

63 → 3

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))

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

Calls

2 calls:

19.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
72.5%	3	`y`
86.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes45.0ms (0.4%)

Accuracy

Total -34.8b remaining (-119.4%)

Threshold costs -34.8b (-119.4%)

Counts

61 → 1

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) y) y)
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y))) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(.f64 x (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y) x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) x) (.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (neg.f64 x))))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) y) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 x y)))) (.f64 y y))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y))) x) y)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y)) x) (*.f64 y y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) #s(literal -1/192 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y)))) x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x y)) y))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 y y))))) x) y)
(/.f64 (.f64 (.f64 y (.f64 y (neg.f64 x))) (.f64 y (.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 (*.f64 x y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 x (.f64 x (.f64 y y)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (*.f64 x y)))))

Outputs
(*.f64 x (neg.f64 y))

Calls

2 calls:

23.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
54.5%	1	`y`
54.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-3.595847499504291e+23	-204630466407946.13

Results

20.0ms	57×	1	valid
7.0ms	87×	0	valid

Compiler

Compiled 268 to 201 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 10.0ms (58.6% of total)

ival-exp: 2.0ms (11.7% of total)

ival-mult: 2.0ms (11.7% of total)

ival-add: 1.0ms (5.9% of total)

ival-sub: 1.0ms (5.9% of total)

backward-pass: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-3.595847499504291e+23	-204630466407946.13

Results

21.0ms	62×	1	valid
6.0ms	82×	0	valid

Compiler

Compiled 214 to 165 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 13.0ms (63.1% of total)

ival-mult: 2.0ms (9.7% of total)

ival-add: 1.0ms (4.9% of total)

ival-exp: 1.0ms (4.9% of total)

ival-sub: 1.0ms (4.9% of total)

backward-pass: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-3.595847499504291e+23	-204630466407946.13

Results

17.0ms	56×	1	valid
7.0ms	88×	0	valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 10.0ms (60.3% of total)

ival-mult: 2.0ms (12.1% of total)

ival-add: 1.0ms (6% of total)

ival-exp: 1.0ms (6% of total)

ival-sub: 1.0ms (6% of total)

backward-pass: 1.0ms (6% of total)

const: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-3.595847499504291e+23	-204630466407946.13

Results

27.0ms	59×	1	valid
7.0ms	85×	0	valid

Compiler

Compiled 160 to 120 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 20.0ms (73.7% of total)

ival-mult: 2.0ms (7.4% of total)

ival-add: 1.0ms (3.7% of total)

ival-exp: 1.0ms (3.7% of total)

ival-sub: 1.0ms (3.7% of total)

backward-pass: 1.0ms (3.7% of total)

const: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.0541703511354384e-66	1.7384467399588624e-60
15.0ms	-6.288435584454285e-149	-6.784721036835027e-158

Results

25.0ms

288×

valid

Compiler

Compiled 241 to 201 computations (16.6% saved)

Precisions

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

ival-log: 7.0ms (46.4% of total)

ival-mult: 3.0ms (19.9% of total)

ival-exp: 2.0ms (13.3% of total)

ival-add: 2.0ms (13.3% of total)

ival-sub: 1.0ms (6.6% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
22×	`*-commutative_binary64`
16×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	106
1	76	106
2	88	106
3	93	106
4	95	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -7140675974698961/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 8250186358158779/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (neg.f64 y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -210000000000000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -7140675974698961/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 8250186358158779/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -7140675974698961/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (if (<=.f64 x #s(literal 8250186358158779/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (neg.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))

soundness1.1s (9%)

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
3240×	`/-lowering-/.f32`
3240×	`/-lowering-/.f64`
3140×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	126	61
2	1187	60
0	8508	60
0	124	1538
1	406	1413
2	1314	1396
3	5385	1384
0	8360	1384
0	64	363
1	180	338
2	470	338
3	1676	338
4	5643	338
0	8077	338
0	8	7
1	18	7
2	29	6
3	48	6
4	70	6
5	135	6
6	244	6
7	355	6
8	494	6
9	759	6
10	909	6
11	941	6
12	942	6
0	942	6

Stop Event

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

Compiler

Compiled 382 to 233 computations (39% saved)

preprocess65.0ms (0.5%)

Compiler: Compiled 306 to 140 computations (54.2% saved)

Iter	Nodes	Cost
0	8	17
1	18	17
2	29	16
3	48	16
4	70	16
5	135	16
6	244	16
7	355	16
8	494	16
9	759	16
10	909	16
11	941	16
12	942	16
0	942	16

Iter	Nodes	Cost
0	8	17
1	18	17
2	29	16
3	48	16
4	70	16
5	135	16
6	244	16
7	355	16
8	494	16
9	759	16
10	909	16
11	941	16
12	942	16
0	942	16

analyze110.0ms (0.9%)

sample4.6s (37.4%)

preprocess59.0ms (0.5%)

explain213.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.2%)

localize102.0ms (0.8%)

series68.0ms (0.6%)

rewrite258.0ms (2.1%)

simplify215.0ms (1.8%)

eval25.0ms (0.2%)

prune26.0ms (0.2%)

simplify173.0ms (1.4%)

localize111.0ms (0.9%)

series16.0ms (0.1%)

rewrite311.0ms (2.5%)

simplify222.0ms (1.8%)

eval123.0ms (1%)

prune67.0ms (0.5%)

simplify155.0ms (1.3%)

localize251.0ms (2.1%)

series21.0ms (0.2%)

rewrite496.0ms (4.1%)

simplify367.0ms (3%)

eval469.0ms (3.8%)

prune559.0ms (4.6%)

simplify250.0ms (2%)

localize257.0ms (2.1%)

series25.0ms (0.2%)

rewrite323.0ms (2.6%)

simplify298.0ms (2.4%)

eval192.0ms (1.6%)

prune156.0ms (1.3%)

regimes114.0ms (0.9%)

regimes69.0ms (0.6%)

regimes31.0ms (0.3%)

regimes28.0ms (0.2%)

regimes28.0ms (0.2%)

regimes47.0ms (0.4%)

regimes45.0ms (0.4%)

bsearch35.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch44.0ms (0.4%)

bsearch37.0ms (0.3%)

simplify13.0ms (0.1%)

soundness1.1s (9%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	17
1	18	17
2	29	16
3	48	16
4	70	16
5	135	16
6	244	16
7	355	16
8	494	16
9	759	16
10	909	16
11	941	16
12	942	16
0	942	16