Metrics for Logistic regression 2

analyze87.0ms (0.7%)

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: 9.0ms (23.7% of total)

ival-exp: 8.0ms (21% of total)

ival-mult: 7.0ms (18.4% of total)

ival-sub: 6.0ms (15.8% of total)

ival-add: 6.0ms (15.8% of total)

const: 1.0ms (2.6% of total)

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

sample4.0s (33.2%)

Results

2.5s	2630×	5	exit
850.0ms	7629×	0	valid
175.0ms	627×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log: 1.5s (57% of total)

ival-exp: 305.0ms (11.5% of total)

ival-add: 268.0ms (10.1% of total)

backward-pass: 203.0ms (7.7% of total)

ival-mult: 190.0ms (7.2% of total)

ival-sub: 142.0ms (5.4% of total)

const: 27.0ms (1% of total)

Bogosity

preprocess88.0ms (0.7%)

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)))

explain169.0ms (1.4%)

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

89.0ms	144×	2	valid
29.0ms	340×	0	valid
9.0ms	28×	1	valid

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-log: 45.0ms (54.8% of total)

backward-pass: 13.0ms (15.8% of total)

ival-exp: 6.0ms (7.3% of total)

ival-mult: 6.0ms (7.3% of total)

ival-add: 5.0ms (6.1% of total)

ival-sub: 4.0ms (4.9% of total)

const: 1.0ms (1.2% 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
▶	99.6%	(-.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

localize99.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(log1p.f64 (exp.f64 x))

Results

60.0ms	64×	5	exit
15.0ms	22×	2	valid
14.0ms	170×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 39.0ms (44% of total)

compiled-spec: 20.0ms (22.6% of total)

ival-log: 16.0ms (18.1% of total)

backward-pass: 5.0ms (5.6% of total)

ival-exp: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

ival-add: 2.0ms (2.3% of total)

const: 0.0ms (0% of total)

series59.0ms (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
23.0ms	x	@	inf	(log (+ 1 (exp x)))
19.0ms	x	@	-inf	(log (+ 1 (exp x)))
6.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))
5.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
2.0ms	x	@	-inf	(- (log (+ 1 (exp x))) (* x y))

rewrite309.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 151

Calls

Call 1

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

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

simplify249.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval27.0ms (0.2%)

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

prune29.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	215	8	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	8	224

Accuracy

99.7%

Counts

224 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(-.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))) (*.f64 x y))
▶	88.5%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	82.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
	72.8%	(+.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))))
	74.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
▶	47.9%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
▶	54.1%	(log1p.f64 (exp.f64 x))
	53.0%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 168 to 128 computations (23.8% saved)

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2348×	`sum5-define`
1840×	`fnmadd-define`
1726×	`sum3-define`
1564×	`sum4-define`
1480×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	106
1	56	97
2	108	94
3	258	94
4	506	94
5	1003	94
6	1544	94
7	2390	94
8	3912	94
9	5354	94
10	6340	94
11	7246	94
12	7737	94
13	7763	94
0	7763	94

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize238.0ms (2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(log1p.f64 (exp.f64 x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	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 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	accuracy	100.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))

Results

122.0ms	86×	5	exit
67.0ms	170×	0	valid

Compiler

Compiled 111 to 24 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

compiled-spec: 33.0ms (26.6% of total)

backward-pass: 32.0ms (25.8% of total)

ival-log: 25.0ms (20.1% of total)

ival-add: 12.0ms (9.7% of total)

ival-mult: 12.0ms (9.7% of total)

ival-sub: 7.0ms (5.6% of total)

ival-exp: 2.0ms (1.6% of total)

const: 2.0ms (1.6% of total)

series19.0ms (0.2%)

Counts

16 → 240

Calls

Call 1

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

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* x (- (/ (log 2) x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (+ (log 2) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* y (- (/ (log 2) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/12 x)))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (/ (log 1/2) x)) y))>
#<alt (* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 2 (pow x 2)) (/ (log 1/2) x))) y))>
#<alt (* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ 2 (pow x 2)) (/ (log 1/2) x)))) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log 1/2) (* -2 (log (/ -1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) x)) (* -1 y))))>
#<alt (log (+ 2 (* x (+ 1 (* 1/2 x)))))>
#<alt (+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))>
#<alt (+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))>
#<alt (+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))>
#<alt (* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))>
#<alt (* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 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 (+ 1/8 (* -1/12 x))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) (* 16/3 (/ 1 (pow x 3))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 x))) x)) 2) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 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 (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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(- (log (+ 1 (+ 1 (* x (+ 1 (* x 1/2)))))) (* x y))
3.0ms	x	@	0	(- (log (+ 1 1)) (* x y))
1.0ms	y	@	0	(- (log (+ 1 1)) (* x y))
0.0ms	x	@	inf	(- (log (+ 1 (+ 1 (* x (+ 1 (* x 1/2)))))) (* x y))
0.0ms	x	@	-inf	(+ (log 2) (* x (- 1/2 y)))

rewrite365.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3492×	`/-lowering-/.f32`
3492×	`/-lowering-/.f64`
3132×	`-lowering-.f32`
3132×	`-lowering-.f64`
2404×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	155	75
2	1446	72
0	8467	72

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 377

Calls

Call 1

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

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

simplify244.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3824×	`-lowering-.f32`
3824×	`-lowering-.f64`
2032×	`+-lowering-+.f64`
2032×	`+-lowering-+.f32`
1680×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1559
1	597	1423
2	1839	1387
3	7054	1387
0	8107	1387

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* x (- (/ (log 2) x) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(log 2)
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(+ (log 2) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* y (- (/ (log 2) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/12 x)))) y)))
(* -1 (* x y))
(* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (/ (log 1/2) x)) y))
(* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 2 (pow x 2)) (/ (log 1/2) x))) y))
(* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ 2 (pow x 2)) (/ (log 1/2) x)))) y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ (log 1/2) (* -2 (log (/ -1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) x)) (* -1 y))))
(log (+ 2 (* x (+ 1 (* 1/2 x)))))
(+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))
(+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))
(+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))
(* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))
(* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 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 (+ 1/8 (* -1/12 x))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) (* 16/3 (/ 1 (pow x 3))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 x))) x)) 2) x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 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)))))))
(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)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)

Outputs
(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 (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (- (/ (log 2) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(+ (log 2) (* -1 (* x y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (- (/ (log 2) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
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(*.f64 x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* 1/2 x))
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(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
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(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
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(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
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(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y))))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/12 x)))) y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/12 binary64)))) y))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (/ (log 1/2) x)) y))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) x) (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) y)))
(* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 2 (pow x 2)) (/ (log 1/2) x))) y))
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(* x (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* 2 (/ 1 (pow x 3))) (+ (/ 2 (pow x 2)) (/ (log 1/2) x)))) y))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) x) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) y)))))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (+ (log 1/2) (* -2 (log (/ -1 x)))) x)) (* -1 y))))
(.f64 x (-.f64 (/.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) y))
(* -1 (* x (- (* -1 (/ (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))
(.f64 x (-.f64 (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) x))) x) y))
(* -1 (* x (- (* -1 (/ (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) x)) (* -1 y))))
(.f64 x (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x) y))
(log (+ 2 (* x (+ 1 (* 1/2 x)))))
(log.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 x y))
(+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 x y))
(+ (log (+ 2 (* x (+ 1 (* 1/2 x))))) (* -1 (* x y)))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))
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(* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))
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(* y (- (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y) x))
(.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) y) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y)) (* -1 x))))
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(* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y)) (* -1 x))))
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(* -1 (* y (- (* -1 (/ (log (+ 2 (* x (+ 1 (* 1/2 x))))) y)) (* -1 x))))
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(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 (* -1/12 x))))))
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(+ (log 1/2) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
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1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
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(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 x)))
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(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(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 x (.f64 x #s(literal -1/192 binary64))))))))
(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 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

eval98.0ms (0.8%)

Compiler: Compiled 13444 to 1527 computations (88.6% saved)

prune79.0ms (0.7%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	622	21	643
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	628	23	651

Accuracy

99.7%

Counts

651 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	13.7%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
	26.8%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
▶	66.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
	13.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x)))
	26.8%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x)))
✓	88.5%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	58.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))))
	56.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	53.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	21.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y))) y) (/.f64 x y))
▶	26.8%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
	7.6%	(.f64 x (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
	29.7%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
▶	29.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
	47.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
	31.2%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	16.6%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
▶	47.9%	(*.f64 x (neg.f64 y))
▶	52.7%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
	56.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	54.1%	(log1p.f64 (exp.f64 x))
	53.0%	(log1p.f64 #s(literal 1 binary64))

Compiler

Compiled 613 to 378 computations (38.3% saved)

simplify142.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	256	(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
✓	cost-diff	640	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
✓	cost-diff	640	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x)
✓	cost-diff	384	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	-64	(*.f64 x (neg.f64 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 2 binary64)))
✓	cost-diff	13632	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	cost-diff	13888	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))

Rules

2422×	`-lowering-.f32`
2422×	`-lowering-.f64`
1044×	`fmsub-define`
1022×	`fma-lowering-fma.f32`
1022×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	168
1	95	144
2	250	143
3	987	130
4	4844	120
0	8160	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize134.0ms (1.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
✓	accuracy	73.3%	(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	93.3%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x)
✓	accuracy	85.2%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.9%	(.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	99.0%	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
✓	accuracy	97.7%	(/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	accuracy	96.4%	(.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))

Results

59.0ms	170×	0	valid
26.0ms	86×	0	invalid

Compiler

Compiled 225 to 31 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 13.0ms (24.7% of total)

ival-div: 11.0ms (20.9% of total)

ival-log: 8.0ms (15.2% of total)

ival-sub: 7.0ms (13.3% of total)

compiled-spec: 4.0ms (7.6% of total)

ival-add: 3.0ms (5.7% of total)

ival-pow: 3.0ms (5.7% of total)

const: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

series24.0ms (0.2%)

Counts

19 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite349.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2736×	`-lowering-.f32`
2736×	`-lowering-.f64`
2688×	`/-lowering-/.f32`
2688×	`/-lowering-/.f64`
1798×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	121
1	224	81
2	1863	71
0	8809	71

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 845

Calls

Call 1

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

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

simplify384.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2996×	`-lowering-.f32`
2996×	`-lowering-.f64`
2272×	`+-lowering-+.f64`
2272×	`+-lowering-+.f32`
2032×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	3564
1	1469	3049
2	5313	3009
0	8147	3009

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+ (log 2) (* x (- 1/2 y)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)))
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eval587.0ms (4.9%)

Compiler: Compiled 35528 to 3128 computations (91.2% saved)

prune152.0ms (1.3%)

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1312	29	1341
Fresh	7	9	16
Picked	4	1	5
Done	0	2	2
Total	1323	41	1364

Accuracy

99.7%

Counts

1364 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	26.8%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
	1.3%	(/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 x y)) (*.f64 y y))
	1.5%	(/.f64 (.f64 (.f64 y (.f64 y y)) x) (.f64 y y))
	2.4%	(/.f64 (.f64 x (.f64 y y)) y)
	47.7%	(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
	2.4%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
	30.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) x))
	31.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	88.5%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	58.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))))
	56.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	53.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	2.0%	(.f64 (/.f64 x y) (.f64 y y))
	2.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 y y)))
	2.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) y))
	26.8%	(.f64 (.f64 (neg.f64 (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
▶	2.4%	(*.f64 y x)
	2.4%	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 y y))))
	47.8%	(.f64 x (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) y) (*.f64 y (/.f64 #s(literal 1 binary64) y))))
	1.5%	(.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
▶	0.6%	(.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y (.f64 y y))))))
	1.5%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (/.f64 (.f64 y y) #s(literal 1 binary64))) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
	1.4%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y (.f64 y y))))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
	29.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
	16.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))))))
	1.5%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y y))) y)))
	22.9%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y y)))) y)))
	29.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))))
▶	2.4%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y y))))
	1.5%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (*.f64 y y))))
	31.2%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	2.4%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
▶	16.6%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	47.9%	(*.f64 x (neg.f64 y))
	56.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	54.1%	(log1p.f64 (exp.f64 x))
	53.0%	(log1p.f64 #s(literal 1 binary64))
	52.7%	(log.f64 (+.f64 x #s(literal 2 binary64)))

Compiler

Compiled 1099 to 658 computations (40.1% saved)

simplify210.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))
✓	cost-diff	1280	(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y (*.f64 y y)))))
✓	cost-diff	1280	(.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y (.f64 y y))))))
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
✓	cost-diff	640	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
✓	cost-diff	640	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	128	(/.f64 y (*.f64 y y))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
✓	cost-diff	384	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y y))))
✓	cost-diff	0	(*.f64 y x)
✓	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	(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 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))))

Rules

3652×	`-lowering-.f32`
3652×	`-lowering-.f64`
1956×	`/-lowering-/.f32`
1956×	`/-lowering-/.f64`
1898×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	149
1	100	126
2	386	114
3	1477	114
4	3621	114
5	7152	114
0	8172	114

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize129.0ms (1.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 y (.f64 y (*.f64 y y)))
✓	accuracy	99.9%	(.f64 y (.f64 y (.f64 y (.f64 y y))))
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	18.2%	(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y (*.f64 y y)))))
✓	accuracy	100.0%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	38.8%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
✓	accuracy	59.8%	(/.f64 y (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y x)
✓	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	100.0%	(.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	99.5%	(*.f64 x #s(literal -1/192 binary64))

Results

85.0ms

256×

valid

Compiler

Compiled 239 to 32 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 26.0ms (56% of total)

ival-div: 7.0ms (15.1% of total)

ival-log: 4.0ms (8.6% of total)

ival-add: 4.0ms (8.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (8.6% of total)

ival-sub: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

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

series29.0ms (0.2%)

Counts

22 → 300

Calls

Call 1

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

Outputs
#<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 (* 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 (* 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 y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt 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 (* -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 (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 (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 (* 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 y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<alt (pow y 6)>
#<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))>
#<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 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 (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 5)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>

Calls

75 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(* x -1/192)
0.0ms	x	@	inf	(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* x (* x -1/192)))))))
0.0ms	y	@	0	(* (* y (* y y)) (* y (* y y)))
0.0ms	y	@	0	(* y (* y (* y (* y y))))
0.0ms	y	@	0	(* y (* y (* y y)))

rewrite380.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3650×	`-lowering-.f32`
3650×	`-lowering-.f64`
2646×	`/-lowering-/.f32`
2646×	`/-lowering-/.f64`
2086×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	125
1	179	100
2	1574	86
0	8528	86

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1012

Calls

Call 1

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

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (.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))))))))
(+.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 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))) (*.f64 x x)) (log.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))))) (neg.f64 (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.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)))))))))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))))) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.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))))))))))
(-.f64 (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))) (+.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)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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 1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))) (.f64 x x)) (log.f64 #s(literal 2 binary64))))
(fma.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)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))) (.f64 x x)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))) x (log.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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))))))) (+.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))))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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))))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (.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)))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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)))))))))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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))))))) (+.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)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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))))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.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))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.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))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.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))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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)))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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))) (-.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.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)))))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 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))))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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))))))) (+.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))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 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))))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))))) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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))))))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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))))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/192 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.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)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))) (.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)))))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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))))))) (+.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)))))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36864 binary64))) (.f64 x x)) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/192 binary64)))) (.f64 x #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/192 binary64)))) x)
(.f64 (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36864 binary64))) (.f64 x x)) (.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/192 binary64)))))))))
(.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36864 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 (.f64 x #s(literal 1/192 binary64)) (*.f64 x x)))))
(.f64 (.f64 x (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/192 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/192 binary64))) #s(literal -1/8 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36864 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/192 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/7077888 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/192 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/192 binary64))) #s(literal -1/8 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36864 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/192 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (/.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(neg.f64 (/.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y))))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (.f64 y (.f64 y (.f64 y y))))))
(neg.f64 (.f64 (/.f64 y (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(/.f64 y (.f64 y (.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))))
(/.f64 (/.f64 y (.f64 y (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal -1/2 binary64))
(.f64 y (/.f64 y (.f64 y (.f64 y (.f64 y y)))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 y y) (/.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(.f64 (.f64 y y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (*.f64 y y)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (*.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64))
(.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (.f64 y (*.f64 y y))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 y (.f64 y (.f64 y (.f64 y y)))) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 y y))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
(+.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal 0 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) (.f64 #s(literal 3 binary64) (log.f64 y))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 y)) (.f64 #s(literal 2 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) #s(literal 1 binary64)))
(/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (.f64 y (.f64 (.f64 y y) (.f64 y (*.f64 y y)))) y)
(/.f64 (.f64 y (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y y) (.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 y #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) #s(literal -1 binary64))
(.f64 y (.f64 y (.f64 y (.f64 y y))))
(.f64 y (/.f64 (.f64 (.f64 y y) (.f64 y (*.f64 y y))) y))
(.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (*.f64 y y))))
(.f64 (.f64 y y) (.f64 y (.f64 y y)))
(.f64 (.f64 y y) (/.f64 (.f64 y (.f64 y (*.f64 y y))) y))
(.f64 (.f64 y (.f64 y y)) (.f64 y y))
(.f64 (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 y (.f64 y (.f64 y y))) y)
(.f64 (.f64 (.f64 y y) (.f64 y (*.f64 y y))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.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 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (/.f64 #s(literal -1 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) y))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) y)
(*.f64 (pow.f64 y #s(literal 5/2 binary64)) (pow.f64 y #s(literal 5/2 binary64)))
(.f64 (.f64 y (pow.f64 y #s(literal 3/2 binary64))) (*.f64 y (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) y))
(.f64 (.f64 (.f64 y y) (pow.f64 y #s(literal 1/2 binary64))) (.f64 (*.f64 y y) (pow.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(+.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 0 binary64))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y #s(literal 0 binary64)))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 y (.f64 y (.f64 y y))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) (.f64 #s(literal 2 binary64) (log.f64 y))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))))
(/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(.f64 y (.f64 y (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 y y))
(.f64 (.f64 y (*.f64 y y)) y)
(.f64 (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1 binary64))

simplify295.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3664×	`-lowering-.f32`
3664×	`-lowering-.f64`
1794×	`fnmsub-define`
1452×	`fma-define`
1196×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1274
1	200	1175
2	611	1173
3	1947	1169
4	6691	1169
0	8247	1169

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(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))))))
(* x y)
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(* x y)
(* x y)
y
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y
y
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y
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)
(* -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 (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))
(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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
y
y
y
y
y
y
y
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y
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y
y
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(pow y 6)
(* -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))
(* 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 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))
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 5)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+ (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)))))))
(* -1/192 (pow x 4))
(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 x (.f64 (.f64 x x) (.f64 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))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) 1/192))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 x (*.f64 x x))))))
(* -1/192 (pow x 4))
(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 x (.f64 (.f64 x x) (.f64 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))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 x (*.f64 x x))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 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 #s(literal -1/192 binary64) (.f64 x x))))))
(* 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 #s(literal -1/192 binary64) (.f64 x x))))))
(* -1/192 (pow x 4))
(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 x (.f64 (.f64 x x) (.f64 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))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(* -1/192 (pow x 4))
(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 x (.f64 (.f64 x x) (.f64 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))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(+ 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 #s(literal -1/192 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 #s(literal -1/192 binary64) (*.f64 x x)))))
(* -1/192 (pow x 3))
(.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x x) (.f64 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))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) 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 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1/192 (pow x 3))
(.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x)))
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) 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)
(* 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)
y
y
y
y
y
y
y
y
y
y
y
y
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) 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 2)
(*.f64 y y)
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x y))
(*.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.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))
(pow y 3)
(.f64 y (.f64 y 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)
(* x y)
(*.f64 x y)
y
y
y
y
y
y
y
y
y
y
y
y
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 binary64))
(pow y 6)
(pow.f64 y #s(literal 6 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 x)
(*.f64 x #s(literal -1/192 binary64))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 x x))
(* -1/192 (pow x 2))
(.f64 #s(literal -1/192 binary64) (.f64 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 #s(literal -1/192 binary64) (*.f64 x x))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))
(* x (+ 1/8 (* -1/192 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x))))
(* -1/192 (pow x 3))
(.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(* -1/192 (pow x 3))
(.f64 x (.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 5)
(pow.f64 y #s(literal 5 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))

eval276.0ms (2.3%)

Compiler: Compiled 39272 to 3685 computations (90.6% saved)

prune234.0ms (1.9%)

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1714	21	1735
Fresh	6	27	33
Picked	1	4	5
Done	0	3	3
Total	1721	55	1776

Accuracy

99.7%

Counts

1776 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.7%	(/.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (*.f64 y y)))))
	14.9%	(/.f64 (/.f64 x (.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
	16.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 0 binary64) (.f64 x y)))))
	26.8%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
	0.7%	(/.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) x) (.f64 y (.f64 y (.f64 y y))))
	1.3%	(/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 x y)) (*.f64 y y))
	1.5%	(/.f64 (.f64 (.f64 y (.f64 y y)) x) (.f64 y y))
	2.4%	(/.f64 (.f64 x (.f64 y y)) y)
	2.4%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
	47.7%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
	30.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)))) x))
	58.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.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))))))))))
	31.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	88.5%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	58.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64))))))))
	56.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
	53.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	0.7%	(.f64 (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
	1.3%	(.f64 (/.f64 x (.f64 y y)) (.f64 y (.f64 y y)))
	2.0%	(.f64 (/.f64 x y) (.f64 y y))
	2.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y y) x))
	26.8%	(.f64 (.f64 (neg.f64 (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
✓	2.4%	(*.f64 y x)
	0.4%	(.f64 x (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
	1.0%	(.f64 x (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) y) (.f64 y (*.f64 y y))))
	0.6%	(.f64 x (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
	2.4%	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 y y))))
	29.3%	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 y y))))
	1.5%	(.f64 x (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y)))
	0.6%	(.f64 x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y (.f64 y y))))))
	0.6%	(.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))))))
✓	0.6%	(.f64 x (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y (.f64 y y))))))
	1.5%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (/.f64 (.f64 y y) #s(literal 1 binary64))) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
	1.4%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y (.f64 y y))))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
	29.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
	1.5%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y y))) y)))
	2.4%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))))))
	29.7%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))))
✓	2.4%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 y y))))
	1.5%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (*.f64 y y))))
	31.2%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	2.4%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
	16.6%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y (*.f64 y y))))
	16.5%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))))
	6.0%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))))))
	14.0%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))))
	6.3%	(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
	6.9%	(.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
✓	47.9%	(*.f64 x (neg.f64 y))
	56.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	54.1%	(log1p.f64 (exp.f64 x))
	53.0%	(log1p.f64 #s(literal 1 binary64))
	52.7%	(log.f64 (+.f64 x #s(literal 2 binary64)))

Compiler

Compiled 2006 to 754 computations (62.4% saved)

regimes75.0ms (0.6%)

Counts

81 → 1

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
22.0ms	y
22.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes52.0ms (0.4%)

Counts

78 → 2

Calls

Call 1

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

23.0ms	x
22.0ms	y

Results

Accuracy	Segments	Branch
99.5%	2	`x`
88.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

74 → 2

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

71 → 2

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

68 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.4%)

Counts

67 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
21.0ms	y

Results

Accuracy	Segments	Branch
68.3%	3	`y`
86.9%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

66 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
86.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes59.0ms (0.5%)

Counts

64 → 2

Calls

Call 1

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

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

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
86.2%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.3%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
47.9%	1	`y`
47.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
2.4%	1	`y`
2.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-912.555425236879	-2.1290169937392498e-8

Results

13.0ms	151×	0	valid
2.0ms	9×	1	valid

Compiler

Compiled 296 to 222 computations (25% saved)

Precisions

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

ival-log: 4.0ms (42.7% of total)

ival-exp: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

ival-mult: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-912.555425236879	-2.1290169937392498e-8

Results

18.0ms	67×	1	valid
7.0ms	93×	0	valid

Compiler

Compiled 236 to 182 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-exp: 7.0ms (36.8% of total)

ival-log: 6.0ms (31.6% of total)

ival-mult: 2.0ms (10.5% of total)

ival-add: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

backward-pass: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-912.555425236879	-2.1290169937392498e-8

Results

13.0ms

160×

valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

Precisions

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

ival-exp: 3.0ms (37.5% of total)

ival-log: 2.0ms (25% of total)

ival-sub: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% of total)

ival-mult: 1.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-912.555425236879	-2.1290169937392498e-8

Results

19.0ms	77×	1	valid
6.0ms	83×	0	valid

Compiler

Compiled 176 to 132 computations (25% saved)

Precisions

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

ival-log: 6.0ms (35.8% of total)

ival-exp: 5.0ms (29.8% of total)

ival-mult: 2.0ms (11.9% of total)

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

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

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

const: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-3.0180719101102155e-42	-4.2362479393913366e-45

Results

12.0ms

128×

valid

Compiler

Compiled 144 to 116 computations (19.4% saved)

Precisions

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

ival-exp: 5.0ms (55.5% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

ival-log: 1.0ms (11.1% of total)

ival-mult: 1.0ms (11.1% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.0180719101102155e-42	-4.2362479393913366e-45

Results

8.0ms

128×

valid

Compiler

Compiled 128 to 100 computations (21.9% saved)

Precisions

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

ival-sub: 1.0ms (20.7% of total)

ival-exp: 1.0ms (20.7% of total)

ival-add: 1.0ms (20.7% of total)

ival-log: 1.0ms (20.7% of total)

ival-mult: 1.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-3.0180719101102155e-42	-4.2362479393913366e-45

Results

9.0ms

128×

valid

Compiler

Compiled 112 to 92 computations (17.9% saved)

Precisions

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

ival-sub: 1.0ms (19.8% of total)

ival-exp: 1.0ms (19.8% of total)

ival-add: 1.0ms (19.8% of total)

ival-log: 1.0ms (19.8% of total)

ival-mult: 1.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative_binary64`
24×	`*-commutative_binary64`
16×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	126
1	92	126
2	104	126
3	109	126
4	111	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 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 -105 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 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 -85 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -6829486688100709/100433627766186892221372630771322662657637687111424552206336 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -4707826301540011/1569275433846670190958947355801916604025588861116008628224 binary64)) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 y x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 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 -5854679515581645/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 x x)))) y)))))
(if (<=.f64 x #s(literal -105 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -105 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 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 -6124895493223875/4503599627370496 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -85 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -85 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -6829486688100709/100433627766186892221372630771322662657637687111424552206336 binary64)) (.f64 x (neg.f64 y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -6829486688100709/100433627766186892221372630771322662657637687111424552206336 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -4707826301540011/1569275433846670190958947355801916604025588861116008628224 binary64)) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -4707826301540011/1569275433846670190958947355801916604025588861116008628224 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -8160232256002685/3138550867693340381917894711603833208051177722232017256448 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)) (log.f64 #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)

soundness1.7s (14%)

Rules

3824×	`-lowering-.f32`
3824×	`-lowering-.f64`
3492×	`/-lowering-/.f32`
3492×	`/-lowering-/.f64`
3132×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	121
1	224	81
2	1863	71
0	8809	71
0	25	83
1	155	75
2	1446	72
0	8467	72
0	64	363
1	180	338
2	470	338
3	1676	338
4	5643	338
0	8077	338
0	8	7
1	18	7
2	29	6
3	48	6
4	70	6
5	135	6
6	244	6
7	355	6
8	494	6
9	759	6
10	909	6
11	941	6
12	942	6
0	942	6
0	188	1559
1	597	1423
2	1839	1387
3	7054	1387
0	8107	1387

Stop Event

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

Compiler

Compiled 499 to 315 computations (36.9% saved)

preprocess92.0ms (0.8%)

Compiler: Compiled 350 to 166 computations (52.6% saved)

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

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

analyze87.0ms (0.7%)

sample4.0s (33.2%)

preprocess88.0ms (0.7%)

explain169.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.2%)

localize99.0ms (0.8%)

series59.0ms (0.5%)

rewrite309.0ms (2.6%)

simplify249.0ms (2.1%)

eval27.0ms (0.2%)

prune29.0ms (0.2%)

simplify178.0ms (1.5%)

localize238.0ms (2%)

series19.0ms (0.2%)

rewrite365.0ms (3%)

simplify244.0ms (2%)

eval98.0ms (0.8%)

prune79.0ms (0.7%)

simplify142.0ms (1.2%)

localize134.0ms (1.1%)

series24.0ms (0.2%)

rewrite349.0ms (2.9%)

simplify384.0ms (3.2%)

eval587.0ms (4.9%)

prune152.0ms (1.3%)

simplify210.0ms (1.7%)

localize129.0ms (1.1%)

series29.0ms (0.2%)

rewrite380.0ms (3.2%)

simplify295.0ms (2.5%)

eval276.0ms (2.3%)

prune234.0ms (1.9%)

regimes75.0ms (0.6%)

regimes52.0ms (0.4%)

regimes28.0ms (0.2%)

regimes28.0ms (0.2%)

regimes26.0ms (0.2%)

regimes49.0ms (0.4%)

regimes26.0ms (0.2%)

regimes59.0ms (0.5%)

regimes40.0ms (0.3%)

regimes3.0ms (0%)

bsearch22.0ms (0.2%)

bsearch33.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch33.0ms (0.3%)

bsearch18.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch14.0ms (0.1%)

simplify13.0ms (0.1%)

soundness1.7s (14%)

preprocess92.0ms (0.8%)

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