Metrics for Logistic regression 2

analyze103.0ms (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: 38.0ms

ival-log: 10.0ms (26.2% of total)

ival-mult: 9.0ms (23.5% of total)

ival-exp: 7.0ms (18.3% of total)

ival-add: 6.0ms (15.7% of total)

ival-sub: 5.0ms (13.1% of total)

const: 1.0ms (2.6% of total)

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

sample4.3s (36.7%)

Results

2.4s	2663×	5	exit
1.1s	7629×	0	valid
191.0ms	627×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-log: 2.0s (66% of total)

ival-mult: 256.0ms (8.3% of total)

backward-pass: 226.0ms (7.4% of total)

ival-exp: 223.0ms (7.3% of total)

ival-add: 157.0ms (5.1% of total)

ival-sub: 154.0ms (5% of total)

const: 28.0ms (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)))

explain172.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(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

85.0ms	136×	2	valid
37.0ms	352×	0	valid
8.0ms	24×	1	valid

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-log: 37.0ms (55.4% of total)

ival-exp: 6.0ms (9% of total)

backward-pass: 6.0ms (9% of total)

ival-mult: 6.0ms (9% of total)

ival-add: 5.0ms (7.5% of total)

ival-sub: 4.0ms (6% of total)

const: 1.0ms (1.5% 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
▶	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify27.0ms (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

localize70.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

32.0ms	61×	5	exit
15.0ms	176×	0	valid
7.0ms	18×	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: 52.0ms

compiled-spec: 19.0ms (36.8% of total)

backward-pass: 12.0ms (23.2% of total)

ival-log: 9.0ms (17.4% of total)

ival-mult: 4.0ms (7.7% of total)

ival-exp: 3.0ms (5.8% of total)

ival-sub: 2.0ms (3.9% of total)

ival-add: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

series64.0ms (0.5%)

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)))
24.0ms	x	@	-inf	(log (+ 1 (exp x)))
5.0ms	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))

rewrite291.0ms (2.5%)

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	324	14
3	3127	14
0	8300	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 (.f64 x x)) (.f64 y (.f64 y 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 x (.f64 x (.f64 y 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 (.f64 x x)) (.f64 y (.f64 y 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 x (.f64 x (.f64 y 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 (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 (.f64 x x)) (.f64 y (.f64 y 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 (log1p.f64 (exp.f64 x)) (/.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y 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 (.f64 x x)) (.f64 y (.f64 y 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 x (.f64 x (.f64 y 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 (.f64 x x)) (.f64 y (.f64 y 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 (.f64 x x)) (.f64 y (.f64 y 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 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 (.f64 x x)) (.f64 y (.f64 y 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 (.f64 x x)) (.f64 y (.f64 y 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 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y 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 (.f64 x x)) (.f64 y (.f64 y 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 x (.f64 x (.f64 y y))) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
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(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 #s(literal 1 binary64) (*.f64 (exp.f64 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)

simplify188.0ms (1.6%)

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	340
2	469	340
3	1677	340
4	5695	340
0	8129	340

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 y (.f64 x #s(literal 1/8 binary64))))))
(+ (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)

eval28.0ms (0.2%)

Compiler: Compiled 5979 to 614 computations (89.7% saved)

prune27.0ms (0.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	213	10	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	10	224

Accuracy

100.0%

Counts

224 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))
▶	68.4%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
▶	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	75.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 x #s(literal 1/8 binary64))))))
	82.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
▶	75.8%	(+.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))))
	99.9%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
▶	49.5%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
	52.3%	(log1p.f64 (exp.f64 x))
	51.8%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 208 to 156 computations (25% saved)

simplify176.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	cost-diff	6336	(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
✓	cost-diff	6336	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))
✓	cost-diff	6400	(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
✓	cost-diff	6400	(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))

Rules

1784×	`fma-lowering-fma.f32`
1784×	`fma-lowering-fma.f64`
1726×	`fnmadd-define`
1548×	`fmsub-define`
1500×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	181
1	93	174
2	212	171
3	537	170
4	1716	170
5	4453	162
0	8418	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(- (neg (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))) (* x y))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(neg (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(- (exp x) 1)
(expm1.f64 x)
x
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x y)
(*.f64 x y)
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 (+ 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
(- (log (+ 1 (+ x 1))) (* x y))
(-.f64 (log.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 x y))
(log (+ 1 (+ x 1)))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(* x y)
(*.f64 x y)
y
(+ (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 x (.f64 x #s(literal 1/192 binary64))))) (-.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 x (.f64 x #s(literal 1/192 binary64))))) (-.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 x (*.f64 x #s(literal 1/192 binary64))))) (-.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 x (*.f64 x #s(literal 1/192 binary64))))) y)
(* x (+ 1/8 (* -1/192 (* x x))))
(.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal 1/192 binary64)))))
(+ 1/8 (* -1/192 (* x x)))
(-.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal 1/192 binary64))))
1/8
#s(literal 1/8 binary64)
(* -1/192 (* x x))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
-1/192
#s(literal -1/192 binary64)
(* x x)
(*.f64 x x)
y

localize287.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.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))))
✓	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	99.8%	(.f64 #s(literal -1/192 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x 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))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))
✓	accuracy	100.0%	(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
✓	accuracy	100.0%	(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))

Results

187.0ms	174×	1	valid
31.0ms	80×	0	invalid
1.0ms	2×	0	valid

Compiler

Compiled 190 to 33 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

compiled-spec: 61.0ms (28.1% of total)

backward-pass: 33.0ms (15.2% of total)

ival-exp: 28.0ms (12.9% of total)

ival-mult: 23.0ms (10.6% of total)

ival-log: 23.0ms (10.6% of total)

ival-sub: 19.0ms (8.8% of total)

ival-add: 14.0ms (6.5% of total)

...c/correct-round.rkt:119:19: 8.0ms (3.7% of total)

const: 3.0ms (1.4% of total)

ival-div: 3.0ms (1.4% of total)

ival-neg: 2.0ms (0.9% of total)

series90.0ms (0.8%)

Counts

18 → 288

Calls

Call 1

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

Outputs
#<alt (log 1/2)>
#<alt (+ (log 1/2) (* -1/2 x))>
#<alt (+ (log 1/2) (* x (- (* -1/8 x) 1/2)))>
#<alt (+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (/ (- (exp x) 1) (- (exp (* 2 x)) 1))>
#<alt (* -1 (log 1/2))>
#<alt (- (* x (- 1/2 y)) (log 1/2))>
#<alt (- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))>
#<alt (- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))>
#<alt (* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))>
#<alt (* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))>
#<alt (* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))>
#<alt (* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))>
#<alt (* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))>
#<alt (* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))>
#<alt (* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))>
#<alt (* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))>
#<alt (* -1 (log 1/2))>
#<alt (- (* 1/2 x) (log 1/2))>
#<alt (- (* x (+ 1/2 (* 1/8 x))) (log 1/2))>
#<alt (- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<alt (* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))>
#<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) (* -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 (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 (- (* 1/24 x) 1/8))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* -1 (/ (log (/ 1 x)) x)) y))>
#<alt (* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) y))>
#<alt (* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) (+ y (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) x)) (* -1 y))))>
#<alt (log (+ 2 x))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 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 (- (* 1/24 x) 1/8)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<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 x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<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))>

Calls

72 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
21.0ms	x	@	inf	(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
6.0ms	x	@	inf	(- (log (+ 1 1)) (* x y))
4.0ms	y	@	0	(- (neg (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))) (* x y))
3.0ms	y	@	0	(- (log (+ 1 (+ x 1))) (* x y))

rewrite378.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2146×	`/-lowering-/.f32`
2146×	`/-lowering-/.f64`
2122×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	121
1	238	105
2	2237	96
0	8616	96

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 411

Calls

Call 1

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

Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (expm1.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (expm1.f64 x)) (log.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 (log.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) (log.f64 (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) (log.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)))) (log.f64 (+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))))
(-.f64 (log.f64 (.f64 (expm1.f64 x) #s(literal 1 binary64))) (log.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))) (log.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) (log1p.f64 (exp.f64 x)))
(neg.f64 (log1p.f64 (exp.f64 x)))
(neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (expm1.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (expm1.f64 x)) (log.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x)) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (expm1.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
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(/.f64 (-.f64 (.f64 #s(literal 1/4 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)) (.f64 (+.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) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y)))) (.f64 (+.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) (+.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)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (-.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.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) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (-.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 x x)))) y))) (/.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)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 x)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 x))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -3 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 x) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/192 binary64))
(.f64 (.f64 x #s(literal -1/192 binary64)) x)

simplify338.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3534×	`-lowering-.f32`
3534×	`-lowering-.f64`
2946×	`+-lowering-+.f64`
2946×	`+-lowering-+.f32`
1590×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	2529
1	881	2332
2	2618	2280
0	8140	2280

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(log 1/2)
(+ (log 1/2) (* -1/2 x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(* -1 (log 1/2))
(- (* x (- 1/2 y)) (log 1/2))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(* -1 (* x y))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (* x y))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(* -1 (* x y))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(* -1 (log 1/2))
(- (* 1/2 x) (log 1/2))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(* -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) (* -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)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* -1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (- (* 1/24 x) 1/8))) y)))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ 1 x)) x)) y))
(* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) y))
(* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) (+ y (* 2 (/ 1 (pow x 3))))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) x)) (* -1 y))))
(log (+ 2 x))
(+ (log (+ 2 x)) (* -1 (* x y)))
(+ (log (+ 2 x)) (* -1 (* x y)))
(+ (log (+ 2 x)) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 2 x)) y) x))
(* y (- (/ (log (+ 2 x)) y) x))
(* y (- (/ (log (+ 2 x)) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 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 (- (* 1/24 x) 1/8)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(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)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* -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))

Outputs
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
(+ (log 1/2) (* -1/2 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(+.f64 (log.f64 #s(literal 1/2 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 (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(log (/ (- (exp x) 1) (- (exp (* 2 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (*.f64 x #s(literal -1/480 binary64))))))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/ (- (exp x) 1) (- (exp (* 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (log 1/2))
(-.f64 #s(literal 0 binary64) (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)))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))) (log.f64 #s(literal 1/2 binary64)))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
(-.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 1/2 binary64)))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(.f64 x (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(.f64 x (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) y))
(* x (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x)) y))
(.f64 x (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) y))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))
(.f64 x (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) y))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))
(.f64 x (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) y))
(* -1 (* x (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) x) (* -1 y))))
(.f64 x (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) y))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(- (* -1 (* x y)) (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(.f64 y (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) y)) x))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(.f64 y (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) y)) x))
(* y (- (* -1 (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y)) x))
(.f64 y (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) y)) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(.f64 y (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) y)) x))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(.f64 y (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) y)) x))
(* -1 (* y (- (/ (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))) y) (* -1 x))))
(.f64 y (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) y)) x))
(* -1 (log 1/2))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/2 x) (log 1/2))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 1/2 binary64)))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #s(literal 1/2 binary64)))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (log (/ (- (exp x) 1) (- (exp (* 2 x)) 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(* -1 (* x y))
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(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (.f64 x x) (.f64 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 x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
(* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(.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)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(.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)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(.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)))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(.f64 (.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(.f64 (.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
(.f64 (.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))) y)))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(.f64 (.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))) y)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(.f64 (.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))) y)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
(.f64 (.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 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 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(+.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))
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(+.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))
(* -1/192 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/192 binary64))))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)) #s(literal -1/192 binary64))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)) #s(literal -1/192 binary64))))
(* -1/192 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/192 binary64))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+.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))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+.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))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+.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))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))) y)))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))) y)))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))) y)))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) y)))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) y)))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) y)))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))
(* -1/192 (pow x 2))
(.f64 x (.f64 x #s(literal -1/192 binary64)))

eval125.0ms (1.1%)

Compiler: Compiled 17174 to 1952 computations (88.6% saved)

prune91.0ms (0.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	736	15	751
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	742	19	761

Accuracy

100.0%

Counts

761 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.8%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
	11.5%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
	82.3%	(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))
	75.4%	(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))) (log.f64 #s(literal 1/2 binary64)))
	75.7%	(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/480 binary64)))))))))) (.f64 x y))
	90.8%	(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x y))
✓	68.4%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
✓	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	52.3%	(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
▶	55.6%	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #s(literal 2 binary64)))
	11.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
	5.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
▶	13.6%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)))))
▶	90.9%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
▶	49.5%	(*.f64 x (neg.f64 y))
	6.3%	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
	52.3%	(log1p.f64 (exp.f64 x))
▶	51.2%	(log.f64 (+.f64 x #s(literal 2 binary64)))
	51.8%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 460 to 307 computations (33.3% saved)

simplify160.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))))
✓	cost-diff	0	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (+.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	512	(/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)))
✓	cost-diff	640	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y))))
✓	cost-diff	640	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)))))
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	-64	(*.f64 x (neg.f64 y))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 2 binary64)) x)
✓	cost-diff	0	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
✓	cost-diff	128	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))

Rules

2004×	`fma-define`
1702×	`-lowering-.f32`
1702×	`-lowering-.f64`
1604×	`/-lowering-/.f32`
1604×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	141
1	80	133
2	251	124
3	1066	124
4	3057	121
5	5857	121
0	9337	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize144.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/192 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/192 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)))))
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y))))
✓	accuracy	51.6%	(/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)
✓	accuracy	99.8%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
✓	accuracy	99.8%	(/.f64 (log.f64 #s(literal 2 binary64)) x)

Results

69.0ms	176×	0	valid
24.0ms	80×	0	invalid

Compiler

Compiled 170 to 30 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 18.0ms (30% of total)

...c/correct-round.rkt:119:19: 17.0ms (28.3% of total)

ival-log: 9.0ms (15% of total)

ival-div: 6.0ms (10% of total)

ival-add: 5.0ms (8.3% of total)

ival-sub: 3.0ms (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)

series31.0ms (0.3%)

Counts

19 → 264

Calls

Call 1

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

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 (+ (* -1 y) (/ (log 2) x)))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* x (+ (* -1 y) (/ (log 2) x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (log 2) x)))))>
#<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 (+ (* -1 x) (/ (log 2) y)))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* y (+ (* -1 x) (/ (log 2) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (log 2) y)))))>
#<alt (/ (log 2) x)>
#<alt (/ (+ (log 2) (* -1 (* x y))) x)>
#<alt (/ (+ (log 2) (* -1 (* x y))) x)>
#<alt (/ (+ (log 2) (* -1 (* x y))) x)>
#<alt (* -1 y)>
#<alt (- (/ (log 2) x) y)>
#<alt (- (/ (log 2) x) y)>
#<alt (- (/ (log 2) x) y)>
#<alt (* -1 y)>
#<alt (- (/ (log 2) x) y)>
#<alt (- (/ (log 2) x) y)>
#<alt (- (/ (log 2) x) y)>
#<alt (/ (log 2) x)>
#<alt (+ (* -1 y) (/ (log 2) x))>
#<alt (+ (* -1 y) (/ (log 2) x))>
#<alt (+ (* -1 y) (/ (log 2) x))>
#<alt (* -1 y)>
#<alt (* y (- (/ (log 2) (* x y)) 1))>
#<alt (* y (- (/ (log 2) (* x y)) 1))>
#<alt (* y (- (/ (log 2) (* x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (log 2) (* x y))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (log 2) (* x y))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (log 2) (* x y))))))>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<alt (/ (log 2) x)>
#<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 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 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 (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 (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 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 (* -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))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) 1/192))>
#<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))>
#<alt (* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<alt (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))>
#<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))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))>
#<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))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))>
#<alt (+ 1/2 (* 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) (- (+ (/ 1/2 (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))>
#<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 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (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 (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 (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<alt (* -1/192 x)>
#<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))>

Calls

66 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(/ (log 2) x)
7.0ms	x	@	inf	(/ (log 2) x)
2.0ms	y	@	inf	(* y y)
1.0ms	x	@	0	(* x (- (/ (log 2) x) y))
1.0ms	x	@	-inf	(* x (- (/ (log 2) x) y))

rewrite370.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4508×	`-lowering-.f32`
4508×	`-lowering-.f64`
3570×	`/-lowering-/.f32`
3570×	`/-lowering-/.f64`
2166×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	114
1	177	98
2	1578	98
0	9473	98

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1066

Calls

Call 1

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

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

simplify199.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2830×	`-lowering-.f32`
2830×	`-lowering-.f64`
1754×	`+-lowering-+.f64`
1754×	`+-lowering-+.f32`
1132×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1467
1	433	1373
2	1304	1367
3	4161	1362
0	8528	1362

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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 (+ (* -1 y) (/ (log 2) x)))
(* x (+ (* -1 y) (/ (log 2) x)))
(* x (+ (* -1 y) (/ (log 2) x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (log 2) y)))
(* y (+ (* -1 x) (/ (log 2) y)))
(* y (+ (* -1 x) (/ (log 2) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(/ (log 2) x)
(/ (+ (log 2) (* -1 (* x y))) x)
(/ (+ (log 2) (* -1 (* x y))) x)
(/ (+ (log 2) (* -1 (* x y))) x)
(* -1 y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(* -1 y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(- (/ (log 2) x) y)
(/ (log 2) x)
(+ (* -1 y) (/ (log 2) x))
(+ (* -1 y) (/ (log 2) x))
(+ (* -1 y) (/ (log 2) x))
(* -1 y)
(* y (- (/ (log 2) (* x y)) 1))
(* y (- (/ (log 2) (* x y)) 1))
(* y (- (/ (log 2) (* x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (log 2) (* x y))))))
(* -1 (* y (+ 1 (* -1 (/ (log 2) (* x y))))))
(* -1 (* y (+ 1 (* -1 (/ (log 2) (* x y))))))
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) x)
(/ (log 2) 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 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 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 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(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)
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* -1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 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)))))))
(* -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))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) 1/192))
(* -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))
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 x)))
(* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))
(* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))
(* -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))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -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))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
1/2
(+ 1/2 (* 1/8 x))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (* 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) (- (+ (/ 1/2 (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))
(* -1/192 (pow x 3))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (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 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -1/192 x)
(* -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))

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

eval178.0ms (1.5%)

Compiler: Compiled 26293 to 3327 computations (87.3% saved)

prune140.0ms (1.2%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1349	21	1370
Fresh	3	9	12
Picked	1	4	5
Done	0	2	2
Total	1353	36	1389

Accuracy

100.0%

Counts

1389 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
	49.3%	(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
	11.5%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
	22.8%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
▶	82.3%	(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))
	75.7%	(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/480 binary64)))))))))) (.f64 x y))
✓	68.4%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
✓	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	52.3%	(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
✓	55.6%	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #s(literal 2 binary64)))
	53.2%	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
	52.4%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	23.5%	(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))))
	23.5%	(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 y y))
	11.2%	(.f64 (/.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
	11.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
	5.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	5.6%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
▶	5.1%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
	8.8%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 y y)) (*.f64 y y)))))
▶	49.4%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
	26.4%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) y) y)))
	13.8%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
▶	18.8%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (.f64 y y))))))
	49.4%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
✓	90.9%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
	11.1%	(.f64 x (.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))))))
	20.9%	(.f64 x (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 y y)))
	49.4%	(.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
	6.3%	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/192 binary64)))
✓	49.5%	(*.f64 x (neg.f64 y))
	6.3%	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
	52.3%	(log1p.f64 (exp.f64 x))
✓	51.2%	(log.f64 (+.f64 x #s(literal 2 binary64)))
	51.8%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 952 to 603 computations (36.7% saved)

simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	384	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
✓	cost-diff	128	(/.f64 y (.f64 y (.f64 y y)))
✓	cost-diff	512	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (*.f64 y y))))
✓	cost-diff	640	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (*.f64 y y)))))
✓	cost-diff	640	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (.f64 y y))))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
✓	cost-diff	384	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	128	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	cost-diff	0	(log.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))

Rules

2046×	`fnmadd-define`
1852×	`fma-define`
1824×	`-lowering-.f32`
1824×	`-lowering-.f64`
1740×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	156
1	94	144
2	281	143
3	1012	143
4	3383	141
5	5685	141
0	8035	141

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize145.0ms (1.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	78.9%	(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	48.7%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (*.f64 y y)))))
✓	accuracy	81.5%	(/.f64 y (.f64 y (.f64 y y)))
✓	accuracy	52.8%	(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (*.f64 y y))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
✓	accuracy	60.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(log.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))

Results

96.0ms

256×

valid

Compiler

Compiled 219 to 35 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 20.0ms (35% of total)

ival-mult: 18.0ms (31.5% of total)

const: 5.0ms (8.7% of total)

ival-sub: 4.0ms (7% of total)

...c/correct-round.rkt:119:19: 4.0ms (7% of total)

ival-log: 3.0ms (5.2% of total)

ival-add: 2.0ms (3.5% of total)

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

series14.0ms (0.1%)

Counts

23 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite324.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3286×	`/-lowering-/.f32`
3286×	`/-lowering-/.f64`
2724×	`-lowering-.f32`
2724×	`-lowering-.f64`
1698×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	113
1	227	101
2	2229	98
0	8555	98

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1004

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.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 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.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 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
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(/.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 1/2 binary64))) #s(literal -1/8 binary64)))) (neg.f64 (.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 x (.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (.f64 (.f64 x (/.f64 (.f64 x x) #s(literal 1/2 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1/8 binary64)))) (neg.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1/8 binary64)))) (neg.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) x)))) (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/64 binary64)) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))))
(pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x))

simplify206.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1678×	`-lowering-.f32`
1678×	`-lowering-.f64`
1620×	`sum5-define`
1566×	`fma-define`
1474×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	1408
1	250	1396
2	672	1396
3	1718	1396
4	5401	1396
0	8122	1396

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval252.0ms (2.1%)

Compiler: Compiled 26476 to 2859 computations (89.2% saved)

prune163.0ms (1.4%)

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1445	21	1466
Fresh	13	12	25
Picked	4	1	5
Done	0	6	6
Total	1462	40	1502

Accuracy

100.0%

Counts

1502 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.8%	(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)
	23.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
	23.8%	(/.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
	23.5%	(/.f64 (*.f64 y y) (neg.f64 (/.f64 y x)))
	49.3%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	82.3%	(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))
	52.4%	(-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
	75.7%	(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/480 binary64)))))))))) (.f64 x y))
✓	68.4%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
✓	91.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	52.3%	(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
✓	55.6%	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #s(literal 2 binary64)))
	53.2%	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
	11.2%	(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y (.f64 y y)))
	5.2%	(.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (.f64 x (.f64 x x)))
	5.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	5.1%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
	5.1%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
	2.6%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
	1.7%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
	5.1%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x (*.f64 x x)))))
	5.1%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
	5.6%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	26.4%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) y) y)))
	6.2%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (*.f64 y y)))))))))
	26.0%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
✓	90.9%	(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
	32.4%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	4.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
	20.9%	(.f64 x (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 y y)))
	49.4%	(.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
	6.3%	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/192 binary64)))
✓	49.5%	(*.f64 x (neg.f64 y))
	3.5%	(*.f64 #s(literal 1/2 binary64) x)
	6.3%	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
	23.5%	(neg.f64 (.f64 (/.f64 x y) (.f64 y y)))
	52.3%	(log1p.f64 (exp.f64 x))
✓	51.2%	(log.f64 (+.f64 x #s(literal 2 binary64)))
	51.8%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 1438 to 611 computations (57.5% saved)

regimes65.0ms (0.6%)

Counts

69 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (.f64 (/.f64 x y) (.f64 y y)))
(/.f64 (*.f64 y y) (neg.f64 (/.f64 y x)))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/192 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) y) y)))
(.f64 (/.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y (.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (.f64 y y))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(.f64 x (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 y y)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x (*.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(.f64 x (.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 y y)) (*.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (*.f64 y y)))))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x 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))))))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #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 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/480 binary64)))))))))) (.f64 x y))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))

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

Calls

3 calls:

21.0ms	x
20.0ms	y
19.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes81.0ms (0.7%)

Counts

64 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (.f64 (/.f64 x y) (.f64 y y)))
(/.f64 (*.f64 y y) (neg.f64 (/.f64 y x)))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/192 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) y) y)))
(.f64 (/.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y (.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (.f64 y y))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(.f64 x (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 y y)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x (*.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(.f64 x (.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 y y)) (*.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (*.f64 y y)))))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x 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))))))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #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 #s(literal -1/192 binary64) (.f64 x x)))) y))))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 x (.f64 x #s(literal -1/480 binary64)))))))))) (.f64 x 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:

57.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
99.8%	2	`x`
91.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

61 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (.f64 (/.f64 x y) (.f64 y y)))
(/.f64 (*.f64 y y) (neg.f64 (/.f64 y x)))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/192 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) y) y)))
(.f64 (/.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y (.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (.f64 y y))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(.f64 x (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 y y)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x (*.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(.f64 x (.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 y y)) (*.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (*.f64 y y)))))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x 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))))))
(-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (log.f64 #s(literal 2 binary64)))

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts

58 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (.f64 (/.f64 x y) (.f64 y y)))
(/.f64 (*.f64 y y) (neg.f64 (/.f64 y x)))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/192 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y))) y)
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) y) y)))
(.f64 (/.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 y (.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) x) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (.f64 y y))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(.f64 x (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 y y)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (.f64 x (*.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(.f64 x (.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 y y)) (*.f64 y y)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal -1/192 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (.f64 y (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (*.f64 y y)))))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x y))

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:

16.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

53 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.3%)

Counts

50 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
68.1%	3	`y`
82.6%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

49 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
82.6%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (0.5%)

Counts

48 → 2

Calls

Call 1

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

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

Calls

1 calls:

51.0ms

Results

Accuracy	Segments	Branch
82.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
49.5%	1	`y`
49.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-31881.660019578554	-176.40066547396322

Results

19.0ms	65×	1	valid
4.0ms	47×	0	valid

Compiler

Compiled 212 to 159 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-exp: 7.0ms (38.3% of total)

ival-log: 7.0ms (38.3% of total)

ival-mult: 2.0ms (10.9% of total)

ival-add: 1.0ms (5.5% of total)

ival-sub: 1.0ms (5.5% of total)

backward-pass: 1.0ms (5.5% 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
42.0ms	-31881.660019578554	-176.40066547396322

Results

34.0ms	66×	1	valid
4.0ms	46×	0	valid

Compiler

Compiled 170 to 131 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 7.0ms (44.9% of total)

ival-exp: 4.0ms (25.7% of total)

ival-mult: 2.0ms (12.8% of total)

ival-add: 1.0ms (6.4% of total)

ival-sub: 1.0ms (6.4% of total)

backward-pass: 1.0ms (6.4% 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
31.0ms	-31881.660019578554	-176.40066547396322

Results

23.0ms	59×	1	valid
4.0ms	53×	0	valid

Compiler

Compiled 142 to 110 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-exp: 12.0ms (54% of total)

ival-log: 6.0ms (27% of total)

ival-mult: 2.0ms (9% of total)

ival-add: 1.0ms (4.5% of total)

ival-sub: 1.0ms (4.5% of total)

backward-pass: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	-31881.660019578554	-176.40066547396322

Results

32.0ms	51×	1	valid
5.0ms	61×	0	valid

Compiler

Compiled 128 to 96 computations (25% saved)

Precisions

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

ival-exp: 22.0ms (68.1% of total)

ival-log: 5.0ms (15.5% of total)

ival-mult: 2.0ms (6.2% of total)

ival-add: 1.0ms (3.1% of total)

ival-sub: 1.0ms (3.1% of total)

backward-pass: 1.0ms (3.1% of total)

const: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-4.2174448178602945e-108	-2.628911683255261e-118

Results

16.0ms

160×

valid

Compiler

Compiled 176 to 142 computations (19.3% saved)

Precisions

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

ival-exp: 6.0ms (53.3% of total)

ival-log: 2.0ms (17.8% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

ival-mult: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-4.2174448178602945e-108	-2.628911683255261e-118

Results

12.0ms

160×

valid

Compiler

Compiled 156 to 122 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 2.0ms (25.8% of total)

ival-log: 2.0ms (25.8% of total)

ival-sub: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% of total)

ival-mult: 1.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-4.2174448178602945e-108	-2.628911683255261e-118

Results

19.0ms

160×

valid

Compiler

Compiled 136 to 112 computations (17.6% saved)

Precisions

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

ival-log: 2.0ms (30% of total)

ival-mult: 2.0ms (30% of total)

ival-sub: 1.0ms (15% of total)

ival-exp: 1.0ms (15% of total)

ival-add: 1.0ms (15% of total)

const: 0.0ms (0% of total)

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

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

246×	`unsub-neg_binary64`
220×	`distribute-lft-neg-in_binary64`
176×	`cancel-sign-sub_binary64`
142×	`neg-mul-1_binary64`
104×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	126
1	90	126
2	114	126
3	140	126
4	172	126
5	227	126
6	335	126
7	497	126
8	640	126
9	735	126
10	793	126
11	822	126
12	839	126
13	847	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -180 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 -180 binary64)) (.f64 x (neg.f64 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)))))))
(if (<=.f64 x #s(literal -180 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 -180 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -694108767229761/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 x (neg.f64 y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3858451478634923/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1156847945382935/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -180 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 -180 binary64)) (.f64 x (-.f64 #s(literal 0 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 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -180 binary64)) (.f64 x (neg.f64 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)))))))
(if (<=.f64 x #s(literal -180 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (-.f64 y (*.f64 x #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -180 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 -180 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -180 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -180 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -694108767229761/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 x (neg.f64 y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -694108767229761/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -3858451478634923/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3858451478634923/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) y)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1156847945382935/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -1156847945382935/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness1.8s (15.2%)

Rules

3534×	`-lowering-.f32`
3534×	`-lowering-.f64`
3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2946×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	363
1	180	340
2	469	340
3	1677	340
4	5695	340
0	8129	340
0	35	121
1	238	105
2	2237	96
0	8616	96
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
0	142	1467
1	433	1373
2	1304	1367
3	4161	1362
0	8528	1362
0	90	1408
1	250	1396
2	672	1396
3	1718	1396
4	5401	1396
0	8122	1396
0	283	2529
1	881	2332
2	2618	2280
0	8140	2280

Stop Event

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

Compiler

Compiled 579 to 364 computations (37.1% saved)

preprocess63.0ms (0.5%)

Compiler: Compiled 350 to 156 computations (55.4% 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	52	126
1	90	126
2	114	126
3	140	126
4	172	126
5	227	126
6	335	126
7	497	126
8	640	126
9	735	126
10	793	126
11	822	126
12	839	126
13	847	126

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	52	126
1	90	126
2	114	126
3	140	126
4	172	126
5	227	126
6	335	126
7	497	126
8	640	126
9	735	126
10	793	126
11	822	126
12	839	126
13	847	126

analyze103.0ms (0.9%)

sample4.3s (36.7%)

preprocess59.0ms (0.5%)

explain172.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.2%)

localize70.0ms (0.6%)

series64.0ms (0.5%)

rewrite291.0ms (2.5%)

simplify188.0ms (1.6%)

eval28.0ms (0.2%)

prune27.0ms (0.2%)

simplify176.0ms (1.5%)

localize287.0ms (2.4%)

series90.0ms (0.8%)

rewrite378.0ms (3.2%)

simplify338.0ms (2.9%)

eval125.0ms (1.1%)

prune91.0ms (0.8%)

simplify160.0ms (1.4%)

localize144.0ms (1.2%)

series31.0ms (0.3%)

rewrite370.0ms (3.1%)

simplify199.0ms (1.7%)

eval178.0ms (1.5%)

prune140.0ms (1.2%)

simplify138.0ms (1.2%)

localize145.0ms (1.2%)

series14.0ms (0.1%)

rewrite324.0ms (2.8%)

simplify206.0ms (1.7%)

eval252.0ms (2.1%)

prune163.0ms (1.4%)

regimes65.0ms (0.6%)

regimes81.0ms (0.7%)

regimes26.0ms (0.2%)

regimes21.0ms (0.2%)

regimes22.0ms (0.2%)

regimes38.0ms (0.3%)

regimes19.0ms (0.2%)

regimes56.0ms (0.5%)

regimes30.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch29.0ms (0.2%)

bsearch44.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch43.0ms (0.4%)

bsearch27.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch26.0ms (0.2%)

simplify36.0ms (0.3%)

soundness1.8s (15.2%)

preprocess63.0ms (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

Iter	Nodes	Cost
0	52	126
1	90	126
2	114	126
3	140	126
4	172	126
5	227	126
6	335	126
7	497	126
8	640	126
9	735	126
10	793	126
11	822	126
12	839	126
13	847	126