Metrics for Logistic regression 2

analyze140.0ms (1%)

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: 11.0ms (28.8% of total)

ival-mult: 8.0ms (20.9% of total)

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

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

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

const: 1.0ms (2.6% of total)

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

sample4.4s (32.9%)

Results

3.1s	2704×	5	exit
664.0ms	7619×	0	valid
163.0ms	637×	1	valid

Precisions

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

ival-log: 2.1s (67% of total)

ival-exp: 269.0ms (8.4% of total)

backward-pass: 233.0ms (7.3% of total)

ival-sub: 178.0ms (5.5% of total)

ival-add: 178.0ms (5.5% of total)

ival-mult: 173.0ms (5.4% of total)

const: 29.0ms (0.9% of total)

Bogosity

preprocess59.0ms (0.4%)

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)))

explain141.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(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

62.0ms	142×	2	valid
35.0ms	354×	0	valid
5.0ms	16×	1	valid

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-log: 32.0ms (52.3% of total)

ival-exp: 6.0ms (9.8% of total)

backward-pass: 6.0ms (9.8% of total)

ival-mult: 6.0ms (9.8% of total)

ival-add: 5.0ms (8.2% of total)

ival-sub: 4.0ms (6.5% of total)

const: 1.0ms (1.6% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.8%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	cost-diff	128	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (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	39
1	18	39
2	29	37
3	48	37
4	70	37
5	135	37
6	244	37
7	355	37
8	494	37
9	759	37
10	909	37
11	941	37
12	942	37
0	942	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize101.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	accuracy	98.8%	(log1p.f64 (exp.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	accuracy	100.0%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
✓	accuracy	98.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Results

59.0ms	79×	2	valid
26.0ms	177×	0	valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-log: 34.0ms (43.3% of total)

compiled-spec: 21.0ms (26.7% of total)

backward-pass: 6.0ms (7.6% of total)

ival-sub: 5.0ms (6.4% of total)

ival-add: 5.0ms (6.4% of total)

ival-exp: 3.0ms (3.8% of total)

ival-mult: 3.0ms (3.8% of total)

const: 1.0ms (1.3% of total)

series66.0ms (0.5%)

Counts

7 → 120

Calls

Call 1

Inputs
#<alt (- (log (+ 1 (exp x))) (* x y))>
#<alt (log (+ 1 (exp x)))>
#<alt (+ 1 (exp x))>
#<alt (exp x)>
#<alt (- (log (+ 1 (exp x))) (* x y))>
#<alt (log (+ 1 (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 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 1 (exp x))>
#<alt (+ 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 (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 (* 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

30 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log (+ 1 (exp x)))
20.0ms	x	@	-inf	(log (+ 1 (exp x)))
8.0ms	x	@	-inf	(- (log (+ 1 (exp x))) (* x y))
5.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
5.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

rewrite268.0ms (2%)

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	29
1	43	29
2	327	27
3	3143	27
0	8469	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 363

Calls

Call 1

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

simplify195.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2018×	`-lowering-.f32`
2018×	`-lowering-.f64`
1878×	`--lowering--.f32`
1878×	`--lowering--.f64`
1516×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	676
1	186	638
2	498	638
3	1763	638
4	5921	548
0	8120	548

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

eval67.0ms (0.5%)

Compiler: Compiled 13610 to 862 computations (93.7% saved)

prune62.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	515	9	524
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	516	10	526

Accuracy

99.4%

Counts

526 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
▶	91.3%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	98.8%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
▶	80.2%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))
	74.4%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y (+.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/192 binary64))))) #s(literal -1/2 binary64)))))
	86.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
	72.7%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (*.f64 x y))))) #s(literal -1 binary64)))
▶	52.6%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
▶	48.8%	(log1p.f64 (exp.f64 x))
	48.0%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 225 to 162 computations (28% saved)

simplify145.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(-.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))))
✓	cost-diff	0	(.f64 x (-.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(log1p.f64 (exp.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	6400	(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))

Rules

2524×	`sum4-define`
2272×	`sum3-define`
2140×	`fma-lowering-fma.f32`
2140×	`fma-lowering-fma.f64`
1928×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	89
1	48	85
2	100	82
3	301	82
4	1077	82
5	3841	82
6	7124	82
0	8570	82

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize185.0ms (1.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	98.8%	(log1p.f64 (exp.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))
✓	accuracy	100.0%	(.f64 x (-.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 0 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
✓	accuracy	98.8%	(log1p.f64 (exp.f64 x))

Results

86.0ms	79×	5	exit
61.0ms	176×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions

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

compiled-spec: 19.0ms (23.1% of total)

backward-pass: 18.0ms (21.9% of total)

ival-mult: 13.0ms (15.8% of total)

ival-log: 11.0ms (13.4% of total)

ival-exp: 7.0ms (8.5% of total)

ival-sub: 7.0ms (8.5% of total)

ival-add: 7.0ms (8.5% of total)

const: 1.0ms (1.2% of total)

series12.0ms (0.1%)

Counts

13 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite342.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3224×	`/-lowering-/.f32`
3224×	`/-lowering-/.f64`
2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
2186×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	62
1	130	59
2	1180	56
0	8610	56

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 319

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(+.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (/.f64 (.f64 y (.f64 x (.f64 y x))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))) (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 y x))))))
(/.f64 (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))
(/.f64 (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (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 y (.f64 x (.f64 y x))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 y x)))) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 y x))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))) (.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(.f64 (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(.f64 (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (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 y (.f64 x (.f64 y x))) (.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 x (.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (log1p.f64 (exp.f64 x))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) y)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
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(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))))
(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (.f64 y (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))))
(.f64 (+.f64 (.f64 y y) (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))
(.f64 (+.f64 (.f64 y y) (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 y (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))))))
(.f64 (-.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))))))
(.f64 (-.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)

simplify336.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3638×	`-lowering-.f32`
3638×	`-lowering-.f64`
1812×	`--lowering--.f32`
1812×	`--lowering--.f64`
1684×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1449
1	509	1264
2	1639	1245
3	6390	1245
0	8244	1245

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval175.0ms (1.3%)

Compiler: Compiled 13314 to 1269 computations (90.5% saved)

prune134.0ms (1%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	595	19	614
Fresh	4	0	4
Picked	3	2	5
Done	1	0	1
Total	603	21	624

Accuracy

99.4%

Counts

624 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 y x)))) (.f64 y x))
	15.9%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
	30.0%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) x) y)
	0.8%	(/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 #s(literal 0 binary64) (.f64 y x)))))
	52.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
✓	91.3%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	67.5%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/8 binary64))))
	52.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))
	52.2%	(+.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))))))))
	48.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	29.9%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y))
	27.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶	91.2%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
	6.5%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
▶	33.2%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
	7.5%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
▶	52.6%	(*.f64 x (neg.f64 y))
▶	47.3%	(log1p.f64 (+.f64 #s(literal 1 binary64) x))
✓	48.8%	(log1p.f64 (exp.f64 x))
	48.0%	(log1p.f64 #s(literal 1 binary64))
	48.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Compiler

Compiled 483 to 314 computations (35% saved)

simplify159.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(log1p.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 x (.f64 y x))
✓	cost-diff	0	(.f64 y (.f64 x (*.f64 y x)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (*.f64 y x))))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 y x)))) (.f64 y x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	cost-diff	384	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	384	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	-64	(*.f64 x (neg.f64 y))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 2 binary64)) y)
✓	cost-diff	0	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
✓	cost-diff	128	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))

Rules

1864×	`fma-lowering-fma.f32`
1864×	`fma-lowering-fma.f64`
1816×	`/-lowering-/.f32`
1816×	`/-lowering-/.f64`
1456×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	87
1	67	81
2	178	80
3	658	79
4	3063	77
5	5254	77
0	8612	77

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize115.0ms (0.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.9%	(.f64 x (.f64 y x))
✓	accuracy	98.0%	(.f64 y (.f64 x (*.f64 y x)))
✓	accuracy	62.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 y x)))) (.f64 y x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	70.7%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)
✓	accuracy	99.8%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
✓	accuracy	99.7%	(/.f64 (log.f64 #s(literal 2 binary64)) y)

Results

46.0ms	176×	0	valid
39.0ms	80×	0	invalid

Compiler

Compiled 118 to 24 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 33.0ms (56.8% of total)

ival-div: 6.0ms (10.3% of total)

ival-log: 6.0ms (10.3% of total)

compiled-spec: 5.0ms (8.6% of total)

ival-sub: 4.0ms (6.9% of total)

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

const: 1.0ms (1.7% of total)

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

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

series93.0ms (0.7%)

Counts

17 → 300

Calls

Call 1

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

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

75 calls:

Time	Variable		Point	Expression
73.0ms	y	@	inf	(/ (log 2) y)
8.0ms	y	@	0	(/ (log 2) y)
1.0ms	y	@	0	(* y (- (/ (log 2) y) x))
1.0ms	y	@	-inf	(* y (- (/ (log 2) y) x))
1.0ms	x	@	0	(- 0 (* y (* x (* y x))))

rewrite385.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3744×	`/-lowering-/.f32`
3744×	`/-lowering-/.f64`
3706×	`-lowering-.f32`
3706×	`-lowering-.f64`
1366×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	71
1	141	64
2	1251	64
0	8793	64

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1227

Calls

Call 1

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

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

simplify205.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1990×	`-lowering-.f32`
1990×	`-lowering-.f64`
1418×	`fma-define`
1128×	`fma-lowering-fma.f32`
1128×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	95	1510
1	293	1271
2	786	1220
3	2143	1202
4	6936	1195
0	8082	1195

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

eval226.0ms (1.7%)

Compiler: Compiled 32123 to 2854 computations (91.1% saved)

prune202.0ms (1.5%)

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	1617	29	1646
Fresh	4	10	14
Picked	2	3	5
Done	0	2	2
Total	1623	44	1667

Accuracy

99.4%

Counts

1667 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
	26.8%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) (.f64 y x))
	9.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 y (.f64 x x)))) (.f64 y x)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))))) (.f64 y x))
	16.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 x x))) (.f64 y x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 y x))
	11.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 x x))) (.f64 x x)) (/.f64 y (.f64 y y)))) (.f64 y x))
	6.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 y x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))))) (.f64 y x))
	9.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))) (.f64 y (.f64 y x))) (/.f64 (.f64 y y) x))) (.f64 y x))
	17.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))) (.f64 y (.f64 x x))) y)) (*.f64 y x))
	12.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 x x)))) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) y))) (.f64 y x))
▶	12.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 x x))))) (.f64 y x))
	13.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 y x))
	13.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (.f64 y (.f64 y (.f64 x x))))
	20.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))) (.f64 y x)))))) (*.f64 y x))
	20.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 y x)))) (/.f64 (.f64 y (*.f64 y x)) y))
	19.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 y x)))) (/.f64 (.f64 y (*.f64 x x)) x))
	25.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (*.f64 y x)))) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	25.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 y x)))) (.f64 y x))
	15.9%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) x) (.f64 y y))
	0.8%	(/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 #s(literal 0 binary64) (.f64 y x)))))
	40.9%	(/.f64 (.f64 y (/.f64 (.f64 x x) #s(literal -1 binary64))) x)
▶	20.7%	(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 x x)))) (.f64 y x))
	52.4%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
	52.3%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	91.3%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
▶	67.5%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/8 binary64))))
	52.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))
	48.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	52.2%	(+.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))))))))
	52.5%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y x)) y) (/.f64 (*.f64 y x) x))
	31.6%	(.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 y y)))
	35.5%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y (*.f64 y x)))
	27.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
✓	91.2%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
	33.1%	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
▶	6.5%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
	10.9%	(.f64 x (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
	33.2%	(.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)))
▶	7.5%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	52.6%	(*.f64 x (neg.f64 y))
✓	48.8%	(log1p.f64 (exp.f64 x))
	2.4%	(log1p.f64 x)
	48.0%	(log1p.f64 #s(literal 1 binary64))
	47.3%	(log.f64 (+.f64 #s(literal 2 binary64) x))
	48.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Compiler

Compiled 1562 to 797 computations (49% saved)

simplify233.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	1152	(/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (*.f64 x x))) y))
✓	cost-diff	1920	(.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (*.f64 x x))))
✓	cost-diff	2048	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (*.f64 x x)))))
✓	cost-diff	2560	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 x x))))) (.f64 y x))
✓	cost-diff	0	(.f64 (.f64 y y) (.f64 y (.f64 y y)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y))))
✓	cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (*.f64 y y)))
✓	cost-diff	1024	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 y (.f64 x x))
✓	cost-diff	0	(.f64 y (.f64 y (*.f64 x x)))
✓	cost-diff	448	(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 x x)))) (.f64 y x))
✓	cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/8 binary64)))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/8 binary64))))

Rules

5216×	`-lowering-.f32`
5216×	`-lowering-.f64`
1694×	`/-lowering-/.f32`
1694×	`/-lowering-/.f64`
1632×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	242
1	134	234
2	710	154
3	7027	154
0	8074	154

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize358.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.1%	(.f64 y (.f64 x x))
✓	accuracy	44.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 x x))))) (.f64 y x))
✓	accuracy	42.0%	(/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (*.f64 x x)))
✓	accuracy	24.8%	(/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (*.f64 x x))) y))
✓	accuracy	99.9%	(.f64 (.f64 y y) (.f64 y (.f64 y y)))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.8%	(.f64 (.f64 y y) (*.f64 y y))
✓	accuracy	18.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (*.f64 y y)))
✓	accuracy	100.0%	(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
✓	accuracy	96.9%	(.f64 y (.f64 y (*.f64 x x)))
✓	accuracy	92.1%	(.f64 y (.f64 x x))
✓	accuracy	44.8%	(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 x x)))) (.f64 y x))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 y #s(literal -1/2 binary64)) x)
✓	accuracy	100.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/8 binary64))))
✓	accuracy	67.3%	(.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/8 binary64)))

Results

304.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 385 to 36 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-log: 102.0ms (63% of total)

ival-mult: 34.0ms (21% of total)

ival-div: 10.0ms (6.2% of total)

ival-sub: 10.0ms (6.2% of total)

ival-add: 3.0ms (1.9% of total)

const: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

series17.0ms (0.1%)

Counts

22 → 408

Calls

Call 1

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

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 (* 1/8 x)) y)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) (* -1 (- y 1/2))) x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) (* -1 (- y 1/2))) x))))>
#<alt (- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))>
#<alt (- (+ (log 2) (* -1 (* x y))) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))>
#<alt (- (+ (log 2) (* -1 (* x y))) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))>
#<alt (- (+ (log 2) (* -1 (* x y))) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log 2) y) (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))>
#<alt (* y (- (/ (log 2) y) (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))>
#<alt (* y (- (/ (log 2) y) (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))) y)) (* -1 x))))>
#<alt (* x (- y 1/2))>
#<alt (* x (- (+ y (* -1/8 x)) 1/2))>
#<alt (* x (- (+ y (* -1/8 x)) 1/2))>
#<alt (* x (- (+ y (* -1/8 x)) 1/2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) (* x y))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) (* x y))>
#<alt (+ (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))>
#<alt (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))>
#<alt (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (pow y 5))>
#<alt (* -1 (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 5)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ -1/2 x)>
#<alt (- (/ y x) (* 1/2 (/ 1 x)))>
#<alt (- (/ y x) (* 1/2 (/ 1 x)))>
#<alt (- (/ y x) (* 1/2 (/ 1 x)))>
#<alt (/ y x)>
#<alt (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (/ (- y 1/2) x)>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<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)>
#<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 (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

102 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* y (* y y))
1.0ms	y	@	0	(- (log 2) (* (* x x) (+ (/ (+ y -1/2) x) -1/8)))
1.0ms	y	@	-inf	(- (log 2) (* (* x x) (+ (/ (+ y -1/2) x) -1/8)))
0.0ms	y	@	inf	(- (log 2) (* (* x x) (+ (/ (+ y -1/2) x) -1/8)))
0.0ms	x	@	inf	(* (* x x) (+ (/ (+ y -1/2) x) -1/8))

rewrite414.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3956×	`/-lowering-/.f32`
3956×	`/-lowering-/.f64`
3742×	`-lowering-.f32`
3742×	`-lowering-.f64`
1808×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	236
1	238	191
2	2422	108
0	8728	108

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 868

Calls

Call 1

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

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

simplify281.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2716×	`-lowering-.f32`
2716×	`-lowering-.f64`
1368×	`fmsub-define`
1348×	`fma-lowering-fma.f32`
1348×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	2254
1	293	1915
2	946	1800
3	3949	1776
0	8416	1776

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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 (* 1/8 x)) y)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) (* -1 (- y 1/2))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) (* -1 (- y 1/2))) x))))
(- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
(- (+ (log 2) (* -1 (* x y))) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
(- (+ (log 2) (* -1 (* x y))) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
(- (+ (log 2) (* -1 (* x y))) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
(* -1 (* x y))
(* y (- (/ (log 2) y) (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* y (- (/ (log 2) y) (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* y (- (/ (log 2) y) (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (- (log 2) (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))) y)) (* -1 x))))
(* x (- y 1/2))
(* x (- (+ y (* -1/8 x)) 1/2))
(* x (- (+ y (* -1/8 x)) 1/2))
(* x (- (+ y (* -1/8 x)) 1/2))
(* -1/8 (pow x 2))
(* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (/ y x) (+ 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) (* x y))
(+ (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) (* x y))
(+ (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))
(* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))
(* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))
(* -1 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))
(* -1 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (pow y 5))
(* -1 (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 5)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ -1/2 x)
(- (/ y x) (* 1/2 (/ 1 x)))
(- (/ y x) (* 1/2 (/ 1 x)))
(- (/ y x) (* 1/2 (/ 1 x)))
(/ y x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(/ y x)
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(/ (- y 1/2) x)
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(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)
(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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))

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

eval283.0ms (2.1%)

Compiler: Compiled 47543 to 3645 computations (92.3% saved)

prune307.0ms (2.3%)

Pruning

53 alts after pruning (46 fresh and 7 done)

	Pruned	Kept	Total
New	1594	20	1614
Fresh	8	26	34
Picked	2	3	5
Done	1	4	5
Total	1605	53	1658

Accuracy

99.4%

Counts

1658 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.5%	(/.f64 (/.f64 (.f64 (.f64 y (*.f64 x y)) x) (-.f64 #s(literal 0 binary64) x)) y)
	31.4%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
	13.2%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 x (.f64 x y))) (.f64 x x)) y)) (*.f64 y x))
	8.9%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) #s(literal 1 binary64))) (.f64 (.f64 (.f64 y (.f64 x y)) x) (.f64 (.f64 x y) (.f64 (.f64 x y) #s(literal 1 binary64))))) (.f64 x (.f64 y (.f64 (.f64 y (.f64 x y)) x))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x y) y) x)) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x y) y) x))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x y) y) x))))))
	26.8%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) (.f64 y x))
	9.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 y (.f64 x x)))) (.f64 y x)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))))) (.f64 y x))
	16.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 x x))) (.f64 y x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 y x))
	6.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 x x)) (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x)))) (.f64 y x)) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))))) (.f64 y x))
	9.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))) (.f64 y (.f64 y x))) (/.f64 (.f64 y y) x))) (.f64 y x))
	17.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 x x))) (.f64 y (.f64 x x))) y)) (*.f64 y x))
✓	12.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 x x))))) (.f64 y x))
	9.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (.f64 (/.f64 (.f64 y (.f64 x y)) (.f64 x x)) (/.f64 (.f64 x (.f64 x y)) y)))) (*.f64 y x))
	12.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y (.f64 y (.f64 x x))) y)) (.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (.f64 x (.f64 x y)) (.f64 x x))))) (*.f64 y x))
	13.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 y x))
	12.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y (.f64 x y)) x))) (.f64 x (.f64 y (.f64 (.f64 y (.f64 x y)) x)))) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 x x))))) (*.f64 y x))
	18.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 y (.f64 x y)) x) (/.f64 (.f64 x y) y)) (/.f64 (.f64 y (.f64 x y)) (.f64 (.f64 y (.f64 x y)) x)))) (.f64 y x))
	19.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 y (.f64 x y)) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))) (.f64 y x))
	13.6%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))) (.f64 y (.f64 y (.f64 x x))))
	14.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 (.f64 y (.f64 x y)) x))) (/.f64 (.f64 y (.f64 x y)) (.f64 y (.f64 (.f64 y (.f64 x y)) x))))) (*.f64 y x))
	15.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y (.f64 (.f64 y (.f64 x y)) x))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) x) (/.f64 (.f64 x y) y)))) (.f64 y x))
	20.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x (.f64 y x)))) (/.f64 (.f64 y (*.f64 y x)) y))
	0.8%	(/.f64 (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 #s(literal 0 binary64) (.f64 y x)))))
	15.9%	(/.f64 (.f64 (neg.f64 (.f64 y (.f64 y y))) x) (.f64 y y))
	40.9%	(/.f64 (.f64 y (/.f64 (.f64 x x) #s(literal -1 binary64))) x)
	25.7%	(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x y)) y)) (.f64 y x))
✓	20.7%	(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 x x)))) (.f64 y x))
	52.4%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
	52.3%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	91.3%	(-.f64 (log1p.f64 #s(literal 1 binary64)) (*.f64 x y))
	52.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64))))
	52.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
	48.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	52.2%	(+.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))))))))
	52.5%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y x)) y) (/.f64 (*.f64 y x) x))
	34.6%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 (.f64 x (*.f64 x y)) y))
	16.6%	(.f64 (/.f64 x (.f64 y y)) (neg.f64 (.f64 y (.f64 y y))))
	31.6%	(.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 y y)))
	35.5%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y (*.f64 y x)))
	36.0%	(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
	27.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	31.0%	(.f64 y (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) y)) (.f64 x y)))
✓	91.2%	(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
	33.1%	(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))))
	6.5%	(.f64 x (/.f64 (.f64 (.f64 y y) (neg.f64 (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y))))
	34.3%	(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))
	33.2%	(.f64 x (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)))
✓	7.5%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	52.6%	(*.f64 x (neg.f64 y))
✓	48.8%	(log1p.f64 (exp.f64 x))
	2.4%	(log1p.f64 x)
	48.0%	(log1p.f64 #s(literal 1 binary64))
	47.3%	(log.f64 (+.f64 #s(literal 2 binary64) x))
	48.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Compiler

Compiled 2473 to 836 computations (66.2% saved)

regimes77.0ms (0.6%)

Counts

79 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))

Calls

3 calls:

24.0ms	x
23.0ms	y
21.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes77.0ms (0.6%)

Counts

77 → 1

Calls

Call 1

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

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	x
22.0ms	y

Results

Accuracy	Segments	Branch
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.8%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes65.0ms (0.5%)

Counts

75 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

35.0ms	y
22.0ms	x

Results

Accuracy	Segments	Branch
91.3%	1	`y`
98.9%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes49.0ms (0.4%)

Counts

72 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.2%)

Counts

68 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts

65 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
98.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.3%)

Counts

63 → 3

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(log1p.f64 (+.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/8 binary64)) y)))

Calls

2 calls:

20.0ms	x
19.0ms	y

Results

Accuracy	Segments	Branch
77.2%	3	`y`
85.4%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

60 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
85.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts

59 → 3

Calls

Call 1

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

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

17.0ms

Results

Accuracy	Segments	Branch
85.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes37.0ms (0.3%)

Accuracy

Total -33.6b remaining (-110.7%)

Threshold costs -33.6b (-110.7%)

Counts

56 → 1

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
52.6%	1	`y`
52.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch50.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	-7566828795998073.0	-235323.9284122106

Results

35.0ms	77×	1	valid
7.0ms	83×	0	valid

Compiler

Compiled 296 to 222 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-log: 19.0ms (55.3% of total)

ival-exp: 5.0ms (14.6% of total)

ival-sub: 5.0ms (14.6% of total)

ival-mult: 2.0ms (5.8% of total)

ival-add: 1.0ms (2.9% of total)

backward-pass: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-7566828795998073.0	-235323.9284122106

Results

23.0ms	80×	1	valid
8.0ms	80×	0	valid

Compiler

Compiled 236 to 182 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 13.0ms (52.9% of total)

ival-exp: 5.0ms (20.3% of total)

ival-add: 2.0ms (8.1% of total)

ival-mult: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4.1% of total)

backward-pass: 1.0ms (4.1% of total)

const: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-7566828795998073.0	-235323.9284122106

Results

20.0ms	65×	1	valid
9.0ms	95×	0	valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

Precisions

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

ival-log: 11.0ms (51.7% of total)

ival-exp: 4.0ms (18.8% of total)

ival-mult: 2.0ms (9.4% of total)

ival-add: 1.0ms (4.7% of total)

ival-sub: 1.0ms (4.7% of total)

backward-pass: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-7566828795998073.0	-235323.9284122106

Results

22.0ms	76×	1	valid
8.0ms	84×	0	valid

Compiler

Compiled 176 to 132 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 12.0ms (51.3% of total)

ival-exp: 5.0ms (21.4% of total)

ival-add: 2.0ms (8.6% of total)

ival-mult: 2.0ms (8.6% of total)

ival-sub: 1.0ms (4.3% of total)

backward-pass: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.061966111092722e-129	2.4230681383849914e-126
15.0ms	-2.026906789364704e-7	-5.107169022976182e-11

Results

20.0ms

256×

valid

Compiler

Compiled 280 to 220 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 3.0ms (24.1% of total)

ival-log: 3.0ms (24.1% of total)

ival-exp: 2.0ms (16.1% of total)

ival-add: 2.0ms (16.1% of total)

ival-mult: 2.0ms (16.1% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.061966111092722e-129	2.4230681383849914e-126
14.0ms	-2.026906789364704e-7	-5.107169022976182e-11

Results

19.0ms

256×

valid

Compiler

Compiled 280 to 220 computations (21.4% saved)

Precisions

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

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.061966111092722e-129	2.4230681383849914e-126
13.0ms	-2.026906789364704e-7	-5.107169022976182e-11

Results

19.0ms

256×

valid

Compiler

Compiled 248 to 204 computations (17.7% saved)

Precisions

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

ival-log: 3.0ms (28.3% of total)

ival-exp: 2.0ms (18.9% of total)

ival-add: 2.0ms (18.9% of total)

ival-mult: 2.0ms (18.9% of total)

ival-sub: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

246×	`unsub-neg_binary64`
238×	`distribute-lft-neg-in_binary64`
198×	`neg-mul-1_binary64`
130×	`distribute-rgt-neg-in_binary64`
120×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	167
1	111	167
2	145	167
3	176	167
4	216	167
5	279	167
6	333	167
7	435	167
8	712	167
9	903	167
10	963	167
11	987	167
12	1002	167
13	1005	167
14	1011	167

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -236000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y (+.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/192 binary64))))) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -236000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))))
(if (<=.f64 x #s(literal -236000 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 -236000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -519460313115661/4722366482869645213696 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log1p.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -2780529385113647/2417851639229258349412352 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -4410161389954167/77371252455336267181195264 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 3201011697101359/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(*.f64 x (neg.f64 y))

Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x #s(literal -236000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y (+.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/192 binary64))))) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -236000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 y (+.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/192 binary64))))) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -236000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))))
(if (<=.f64 x #s(literal -236000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) y))))
(if (<=.f64 x #s(literal -236000 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 -236000 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 -236000 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -236000 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (-.f64 (log1p.f64 #s(literal 1 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -519460313115661/4722366482869645213696 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log1p.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -519460313115661/4722366482869645213696 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (if (<=.f64 x #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log1p.f64 (+.f64 x #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -2780529385113647/2417851639229258349412352 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(if (<=.f64 x #s(literal -2780529385113647/2417851639229258349412352 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (if (<=.f64 x #s(literal 7316598164803107/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log.f64 (+.f64 x #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 -4410161389954167/77371252455336267181195264 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal 3201011697101359/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (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 -4410161389954167/77371252455336267181195264 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x y)) (if (<=.f64 x #s(literal 3201011697101359/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/8 binary64)) y)))))
(*.f64 x (neg.f64 y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))

soundness2.4s (17.9%)

Rules

3744×	`/-lowering-/.f32`
3744×	`/-lowering-/.f64`
3706×	`-lowering-.f32`
3706×	`-lowering-.f64`
3638×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	71
1	141	64
2	1251	64
0	8793	64
0	154	1449
1	509	1264
2	1639	1245
3	6390	1245
0	8244	1245
0	98	2254
1	293	1915
2	946	1800
3	3949	1776
0	8416	1776
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	8	29
1	43	29
2	327	27
3	3143	27
0	8469	27
0	67	676
1	186	638
2	498	638
3	1763	638
4	5921	548
0	8120	548
0	23	62
1	130	59
2	1180	56
0	8610	56

Stop Event

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

Compiler

Compiled 428 to 253 computations (40.9% saved)

preprocess69.0ms (0.5%)

Compiler: Compiled 434 to 182 computations (58.1% saved)

Iter	Nodes	Cost
0	8	39
1	18	39
2	29	37
3	48	37
4	70	37
5	135	37
6	244	37
7	355	37
8	494	37
9	759	37
10	909	37
11	941	37
12	942	37
0	942	37

Iter	Nodes	Cost
0	8	39
1	18	39
2	29	37
3	48	37
4	70	37
5	135	37
6	244	37
7	355	37
8	494	37
9	759	37
10	909	37
11	941	37
12	942	37
0	942	37

analyze140.0ms (1%)

sample4.4s (32.9%)

preprocess59.0ms (0.4%)

explain141.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.2%)

localize101.0ms (0.8%)

series66.0ms (0.5%)

rewrite268.0ms (2%)

simplify195.0ms (1.5%)

eval67.0ms (0.5%)

prune62.0ms (0.5%)

simplify145.0ms (1.1%)

localize185.0ms (1.4%)

series12.0ms (0.1%)

rewrite342.0ms (2.6%)

simplify336.0ms (2.5%)

eval175.0ms (1.3%)

prune134.0ms (1%)

simplify159.0ms (1.2%)

localize115.0ms (0.9%)

series93.0ms (0.7%)

rewrite385.0ms (2.9%)

simplify205.0ms (1.5%)

eval226.0ms (1.7%)

prune202.0ms (1.5%)

simplify233.0ms (1.7%)

localize358.0ms (2.7%)

series17.0ms (0.1%)

rewrite414.0ms (3.1%)

simplify281.0ms (2.1%)

eval283.0ms (2.1%)

prune307.0ms (2.3%)

regimes77.0ms (0.6%)

regimes77.0ms (0.6%)

regimes65.0ms (0.5%)

regimes49.0ms (0.4%)

regimes33.0ms (0.2%)

regimes32.0ms (0.2%)

regimes46.0ms (0.3%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes37.0ms (0.3%)

bsearch50.0ms (0.4%)

bsearch41.0ms (0.3%)

bsearch41.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch31.0ms (0.2%)

bsearch32.0ms (0.2%)

bsearch30.0ms (0.2%)

simplify40.0ms (0.3%)

soundness2.4s (17.9%)

preprocess69.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	39
1	18	39
2	29	37
3	48	37
4	70	37
5	135	37
6	244	37
7	355	37
8	494	37
9	759	37
10	909	37
11	941	37
12	942	37
0	942	37