Metrics for Logistic regression 2

analyze109.0ms (1.1%)

Memory

6.7MiB live, 84.1MiB allocated

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 11 to 8 computations (27.3% saved)

sample1.1s (10.4%)

Memory

28.5MiB live, 1 413.6MiB allocated

Samples

487.0ms	8 256×	0	valid
207.0ms	2 702×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

ival-log1p: 121.0ms (27.8% of total)

ival-exp: 106.0ms (24.4% of total)

ival-mult: 106.0ms (24.4% of total)

ival-sub: 49.0ms (11.3% of total)

adjust: 41.0ms (9.4% of total)

ival-true: 8.0ms (1.8% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

preprocess32.0ms (0.3%)

Memory

15.5MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Rules

148×	`lower-fma.f64`
148×	`lower-fma.f32`
108×	`lower-*.f32`
106×	`lower-*.f64`
78×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain103.0ms (1%)

Memory

-7.1MiB live, 199.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	78	(-4639239814321201.0 4.995049203129374e+189)	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	sensitivity	79	0

Confusion

	Predicted +	Predicted -
+	0	0
-	79	177

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	79	0	177

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	177
1	79

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log1p: 5.0ms (25.4% of total)

ival-exp: 4.0ms (20.3% of total)

ival-mult: 4.0ms (20.3% of total)

ival-sub: 3.0ms (15.3% of total)

ival-add: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify14.0ms (0.1%)

Memory

-22.4MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
✓	cost-diff	0	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Rules

148×	`lower-fma.f64`
148×	`lower-fma.f32`
108×	`lower-*.f32`
106×	`lower-*.f64`
52×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.3%)

Memory

13.9MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	99.6%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

17.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-log1p: 3.0ms (32.5% of total)

ival-exp: 2.0ms (21.7% of total)

ival-mult: 2.0ms (21.7% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.6%)

Memory

3.6MiB live, 80.9MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(log (+ 1 (exp x)))
26.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

rewrite330.0ms (3.3%)

Memory

21.8MiB live, 376.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 436×	`lower-/.f64`
4 436×	`lower-/.f32`
3 924×	`lower-*.f32`
3 922×	`lower-*.f64`
3 690×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16

Stop Event

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

Counts

4 → 359

Calls

Call 1

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

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

simplify272.0ms (2.7%)

Memory

-31.3MiB live, 362.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
2 426×	`lower-*.f64`
2 426×	`lower-*.f32`
1 772×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval125.0ms (1.2%)

Memory: 24.1MiB live, 63.4MiB allocated
Compiler: Compiled 15 047 to 1 438 computations (90.4% saved)

prune66.0ms (0.7%)

Memory

19.3MiB live, 95.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	407	12	419
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	12	420

Accuracy

100.0%

Counts

420 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
	78.2%	(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
	82.5%	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
	62.4%	(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (*.f64 x y))
▶	100.0%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
▶	68.4%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
▶	91.5%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
	93.7%	(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
▶	49.5%	(*.f64 x (neg.f64 y))
	51.9%	(log1p.f64 (exp.f64 x))
	51.0%	(log.f64 #s(literal 2 binary64))
	76.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) #s(literal -1 binary64)))

Compiler

Compiled 286 to 194 computations (32.2% saved)

simplify285.0ms (2.8%)

Memory

-38.6MiB live, 384.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x (neg.f64 y))
✓	cost-diff	0	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
✓	cost-diff	256	(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
✓	cost-diff	768	(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
✓	cost-diff	6400	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))

Rules

10 270×	`lower-fma.f32`
10 264×	`lower-fma.f64`
2 300×	`lower-*.f32`
2 294×	`lower-*.f64`
2 012×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
0	54	149
1	106	143
2	209	143
3	421	143
4	875	139
5	2338	136
6	4888	132
7	6809	132
0	8099	126

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (0.9%)

Memory

2.3MiB live, 118.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
✓	accuracy	100.0%	(log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
✓	accuracy	100.0%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
✓	accuracy	100.0%	(log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))

Samples

42.0ms	177×	0	valid
19.0ms	79×	0	invalid

Compiler

Compiled 177 to 33 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 9.0ms (20.9% of total)

ival-add: 7.0ms (16.2% of total)

ival-log: 7.0ms (16.2% of total)

ival-expm1: 4.0ms (9.3% of total)

ival-sub: 4.0ms (9.3% of total)

const: 4.0ms (9.3% of total)

ival-log1p: 3.0ms (7% of total)

ival-div: 2.0ms (4.6% of total)

ival-neg: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series83.0ms (0.8%)

Memory

10.6MiB live, 86.9MiB allocated

Counts

18 → 288

Calls

Call 1

Inputs
#<alt (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))>
#<alt (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))>
#<alt (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))>
#<alt (-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))>
#<alt (*.f64 x (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 x y)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))>
#<alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))>
#<alt (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))>
#<alt (*.f64 x x)>
#<alt (expm1.f64 x)>

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

Calls

72 calls:

Time	Variable		Point	Expression
35.0ms	x	@	-inf	(log (/ (- (exp x) 1) (- (exp (+ x x)) 1)))
21.0ms	x	@	inf	(log (/ (- (exp x) 1) (- (exp (+ x x)) 1)))
4.0ms	y	@	0	(- (neg (log (/ (- (exp x) 1) (- (exp (+ x x)) 1)))) (* x y))
3.0ms	y	@	0	(- (log (+ 1 (+ x 1))) (* x y))
3.0ms	x	@	-inf	(neg (log (/ (- (exp x) 1) (- (exp (+ x x)) 1))))

rewrite365.0ms (3.6%)

Memory

-22.0MiB live, 412.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 502×	`lower-fma.f32`
4 496×	`lower-fma.f64`
4 320×	`lower-*.f32`
4 314×	`lower-*.f64`
4 100×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	115
0	54	115
1	245	98
2	2029	98
0	9462	92

Stop Event

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

Counts

18 → 675

Calls

Call 1

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

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

simplify313.0ms (3.1%)

Memory

27.2MiB live, 382.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 896×	`lower-fma.f64`
6 896×	`lower-fma.f32`
3 602×	`lower-+.f64`
3 602×	`lower-+.f32`
3 362×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	2468
1	811	2412
2	2092	2380
3	6661	2377
0	8331	2098

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 283

Calls

Call 1

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

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

eval131.0ms (1.3%)

Memory: 4.1MiB live, 230.4MiB allocated
Compiler: Compiled 27 640 to 3 099 computations (88.8% saved)

prune108.0ms (1.1%)

Memory

-5.0MiB live, 196.3MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	996	15	1 011
Fresh	3	4	7
Picked	4	1	5
Done	0	0	0
Total	1 003	20	1 023

Accuracy

100.0%

Counts

1 023 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.5%	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
	54.6%	(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	78.2%	(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
	82.5%	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
	66.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
▶	77.4%	(-.f64 (neg.f64 (log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 x y))
▶	68.4%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
	75.4%	(+.f64 (.f64 x (.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶	12.3%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
	5.5%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	75.8%	(.f64 y (fma.f64 x (/.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
	14.6%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
	28.8%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
✓	49.5%	(*.f64 x (neg.f64 y))
▶	6.1%	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
	51.8%	(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
	51.9%	(log1p.f64 (exp.f64 x))
	50.3%	(log.f64 (+.f64 x #s(literal 2 binary64)))
	51.0%	(log.f64 #s(literal 2 binary64))
	76.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) #s(literal -1 binary64)))

Compiler

Compiled 570 to 366 computations (35.8% saved)

simplify340.0ms (3.4%)

Memory

-11.6MiB live, 317.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 (log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	128	(-.f64 (neg.f64 (log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 x y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	2624	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	0	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))

Rules

9 012×	`lower-fma.f32`
9 004×	`lower-fma.f64`
3 018×	`lower-*.f32`
3 004×	`lower-*.f64`
1 746×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	243
0	63	227
1	138	219
2	327	219
3	863	219
4	2300	215
5	7314	215
0	8166	212

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.2%)

Memory

5.2MiB live, 198.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(-.f64 (neg.f64 (log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 x y))
✓	accuracy	100.0%	(log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(log1p.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	82.4%	(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
✓	accuracy	46.5%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))

Samples

52.0ms	176×	0	valid
24.0ms	80×	0	invalid

Compiler

Compiled 266 to 40 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 16.0ms (29.4% of total)

const: 10.0ms (18.4% of total)

ival-add: 8.0ms (14.7% of total)

ival-log: 8.0ms (14.7% of total)

ival-div: 3.0ms (5.5% of total)

ival-sub: 3.0ms (5.5% of total)

ival-log1p: 3.0ms (5.5% of total)

ival-neg: 3.0ms (5.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series19.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

18 → 276

Calls

Call 1

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

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 (* -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 (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (* -1/192 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192))>
#<alt (+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))>
#<alt (+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))>
#<alt (+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))>
#<alt (* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))>
#<alt (* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- (+ 1/2 (* 1/8 x)) y) (pow x 3))>
#<alt (/ (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) (pow x 3))>
#<alt (/ (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) (pow x 3))>
#<alt -1/192>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/192)>
#<alt (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))>
#<alt (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))>
#<alt -1/192>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/192)>
#<alt (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))>
#<alt (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))>
#<alt (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)>
#<alt (- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)>
#<alt (- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)>
#<alt (- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)>
#<alt (* -1 (/ y (pow x 3)))>
#<alt (* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))>
#<alt (* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))>
#<alt (* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))>
#<alt (* -1 (/ y (pow x 3)))>
#<alt (* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* -1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (- (* 1/24 x) 1/8))) y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* -1 (/ (log (/ 1 x)) x)) y))>
#<alt (* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) y))>
#<alt (* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) (+ y (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) x)) (* -1 y))))>
#<alt (log (+ 2 x))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (+ (log (+ 2 x)) (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* y (- (/ (log (+ 2 x)) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (log 1/2))>
#<alt (- (* x (- 1/2 y)) (log 1/2))>
#<alt (- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))>
#<alt (- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* -1 (/ (+ (log -1/480) (* -5 (log (/ 1 x)))) x)) y))>
#<alt (* x (- (/ 10 (pow x 3)) (+ y (+ (* -5 (/ (log (/ 1 x)) x)) (/ (log -1/480) x)))))>
#<alt (* x (- (/ 10 (pow x 3)) (+ y (+ (* -5 (/ (log (/ 1 x)) x)) (+ (* 70 (/ 1 (pow x 5))) (/ (log -1/480) x))))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (+ (* -5 (/ (log (/ -1 x)) x)) (/ (log 1/480) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (* -5 (log (/ -1 x))))) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4))))) x)) (* -1 y))))>
#<alt (* -1 (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))>
#<alt (- (* -1 (* x y)) (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))>
#<alt (- (* -1 (* x y)) (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))>
#<alt (- (* -1 (* x y)) (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* -1 (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y)) x))>
#<alt (* y (- (* -1 (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y)) x))>
#<alt (* y (- (* -1 (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y) (* -1 x))))>
#<alt (* -1 (* y (- (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y) (* -1 x))))>
#<alt (* -1 (* y (- (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y) (* -1 x))))>
#<alt (* -1 (log 1/2))>
#<alt (- (* 1/2 x) (log 1/2))>
#<alt (- (* x (+ 1/2 (* 1/8 x))) (log 1/2))>
#<alt (- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))>
#<alt (* -1 (+ (log -1/480) (* -5 (log (/ 1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (* -5 (log (/ 1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))>
#<alt (- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))>
#<alt (* -1 (+ (log 1/480) (* -5 (log (/ -1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (* -5 (log (/ -1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))>
#<alt (- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))>
#<alt (log 1/2)>
#<alt (+ (log 1/2) (* -1/2 x))>
#<alt (+ (log 1/2) (* x (- (* -1/8 x) 1/2)))>
#<alt (+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))>
#<alt (+ (log -1/480) (* -5 (log (/ 1 x))))>
#<alt (- (+ (log -1/480) (* -5 (log (/ 1 x)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))>
#<alt (+ (log 1/480) (* -5 (log (/ -1 x))))>
#<alt (- (+ (log 1/480) (* -5 (log (/ -1 x)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))>
#<alt (* -1/480 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (* (pow x 5) (- (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (* -1/480 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))))))>
#<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 (* 1/48 x)>
#<alt (* x (+ 1/48 (* -1/480 (pow x 2))))>
#<alt (* x (+ 1/48 (* -1/480 (pow x 2))))>
#<alt (* x (+ 1/48 (* -1/480 (pow x 2))))>
#<alt (* -1/480 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* -1/480 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))>

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(- (neg (log (+ (* x (+ (* x (* x (+ (* (* x x) -1/480) 1/48))) -1/4)) 1/2))) (* x y))
1.0ms	y	@	0	(* (* (* x x) (* x x)) (+ (+ -1/192 (/ 1/8 (* x x))) (/ (- 1/2 y) (* x (* x x)))))
1.0ms	x	@	inf	(log (+ (* x (+ (* x (* x (+ (* (* x x) -1/480) 1/48))) -1/4)) 1/2))
1.0ms	y	@	inf	(* (* (* x x) (* x x)) (+ (+ -1/192 (/ 1/8 (* x x))) (/ (- 1/2 y) (* x (* x x)))))
1.0ms	x	@	inf	(- (neg (log (+ (* x (+ (* x (* x (+ (* (* x x) -1/480) 1/48))) -1/4)) 1/2))) (* x y))

rewrite378.0ms (3.7%)

Memory

-15.9MiB live, 468.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 664×	`lower-fma.f32`
5 656×	`lower-fma.f64`
4 472×	`lower-/.f32`
4 468×	`lower-/.f64`
4 290×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	167
0	63	157
1	288	151
2	2551	149
0	9254	145

Stop Event

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

Counts

18 → 506

Calls

Call 1

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

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x))
(-.f64 (/.f64 (.f64 y (.f64 x (*.f64 y x))) (fma.f64 y (neg.f64 x) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 y (neg.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 y (neg.f64 x)))) (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 8 binary64)))))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 x #s(literal 1/48 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 x #s(literal 1/48 binary64)))) (/.f64 (.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 x #s(literal 1/48 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 x #s(literal 1/48 binary64)))))
(fma.f64 x #s(literal 1/48 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/480 binary64)))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/480 binary64))) (*.f64 x #s(literal 1/48 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/480 binary64)) (*.f64 x #s(literal 1/48 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64) (*.f64 x #s(literal 1/48 binary64)))
(fma.f64 #s(literal -1/480 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/48 binary64)))
(fma.f64 #s(literal 1/48 binary64) x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/480 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -1/480 binary64))) x (*.f64 x #s(literal 1/48 binary64)))
(fma.f64 (.f64 x #s(literal -1/480 binary64)) (.f64 x x) (*.f64 x #s(literal 1/48 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/110592 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (-.f64 (.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 x #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64))) (.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 x #s(literal 1/48 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 x #s(literal 1/48 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) (fma.f64 x (*.f64 x #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/110592 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (-.f64 (.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 x #s(literal 1/48 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (*.f64 x #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64))) (.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 x #s(literal 1/48 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 x #s(literal 1/48 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 x x) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) x)) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 x x) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/110592 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64))))) (fma.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 x #s(literal 1/48 binary64)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64))) (.f64 (.f64 x #s(literal 1/48 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/480 binary64))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) x)

simplify448.0ms (4.4%)

Memory

14.9MiB live, 568.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 284×	`lower-fma.f64`
9 284×	`lower-fma.f32`
4 754×	`lower-+.f64`
4 754×	`lower-+.f32`
4 058×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	2703
1	976	2581
2	2675	2564
0	8583	2469

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

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)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(* -1/192 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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)
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192))
(+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))
(+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))
(+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))
(* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))
(* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))
(/ (- 1/2 y) (pow x 3))
(/ (- (+ 1/2 (* 1/8 x)) y) (pow x 3))
(/ (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) (pow x 3))
(/ (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) (pow x 3))
-1/192
(- (* 1/8 (/ 1 (pow x 2))) 1/192)
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
-1/192
(- (* 1/8 (/ 1 (pow x 2))) 1/192)
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
(- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)
(- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)
(- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)
(- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)
(* -1 (/ y (pow x 3)))
(* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* -1 (/ y (pow x 3)))
(* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* -1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (- (* 1/24 x) 1/8))) y)))
(* -1 (* x y))
(* x (- (* -1 (/ (log (/ 1 x)) x)) y))
(* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) y))
(* x (- (+ (* -1 (/ (log (/ 1 x)) x)) (/ 2 (pow x 2))) (+ y (* 2 (/ 1 (pow x 3))))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x)))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) x)) (* -1 y))))
(log (+ 2 x))
(+ (log (+ 2 x)) (* -1 (* x y)))
(+ (log (+ 2 x)) (* -1 (* x y)))
(+ (log (+ 2 x)) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 2 x)) y) x))
(* y (- (/ (log (+ 2 x)) y) x))
(* y (- (/ (log (+ 2 x)) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 2 x)) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* -1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (log 1/2))
(- (* x (- 1/2 y)) (log 1/2))
(- (* x (- (+ 1/2 (* 1/8 x)) y)) (log 1/2))
(- (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)) (log 1/2))
(* -1 (* x y))
(* x (- (* -1 (/ (+ (log -1/480) (* -5 (log (/ 1 x)))) x)) y))
(* x (- (/ 10 (pow x 3)) (+ y (+ (* -5 (/ (log (/ 1 x)) x)) (/ (log -1/480) x)))))
(* x (- (/ 10 (pow x 3)) (+ y (+ (* -5 (/ (log (/ 1 x)) x)) (+ (* 70 (/ 1 (pow x 5))) (/ (log -1/480) x))))))
(* -1 (* x y))
(* -1 (* x (- (+ (* -5 (/ (log (/ -1 x)) x)) (/ (log 1/480) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (* -5 (log (/ -1 x))))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4))))) x)) (* -1 y))))
(* -1 (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))
(- (* -1 (* x y)) (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))
(- (* -1 (* x y)) (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))
(- (* -1 (* x y)) (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))))
(* -1 (* x y))
(* y (- (* -1 (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y)) x))
(* y (- (* -1 (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y)) x))
(* y (- (* -1 (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y)) x))
(* -1 (* x y))
(* -1 (* y (- (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y) (* -1 x))))
(* -1 (* y (- (/ (log (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))) y) (* -1 x))))
(* -1 (log 1/2))
(- (* 1/2 x) (log 1/2))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(* -1 (+ (log -1/480) (* -5 (log (/ 1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (* -5 (log (/ 1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))
(- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))
(* -1 (+ (log 1/480) (* -5 (log (/ -1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (* -5 (log (/ -1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))
(- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))
(log 1/2)
(+ (log 1/2) (* -1/2 x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(+ (log -1/480) (* -5 (log (/ 1 x))))
(- (+ (log -1/480) (* -5 (log (/ 1 x)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))
(+ (log 1/480) (* -5 (log (/ -1 x))))
(- (+ (log 1/480) (* -5 (log (/ -1 x)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(* -1/480 (pow x 5))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(* (pow x 5) (- (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))) (+ 1/480 (/ 1/4 (pow x 4)))))
(* -1/480 (pow x 5))
(* -1 (* (pow x 5) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))))))
(/ 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))
(* 1/48 x)
(* x (+ 1/48 (* -1/480 (pow x 2))))
(* x (+ 1/48 (* -1/480 (pow x 2))))
(* x (+ 1/48 (* -1/480 (pow x 2))))
(* -1/480 (pow x 3))
(* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* -1/480 (pow x 3))
(* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (+ (* -1 x) (/ (log 2) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (+ (* -1 x) (/ (log 2) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* y (+ (* -1 x) (/ (log 2) y)))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(* -1 (* y (+ x (* -1 (/ (log 2) y)))))
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (* x y)))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* x (+ (* -1 y) (/ (log 2) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (+ (* -1 y) (/ (log 2) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* x (+ (* -1 y) (/ (log 2) x)))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 (* x (+ y (* -1 (/ (log 2) x)))))
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
(* -1/192 (pow x 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))))))
(+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) (*.f64 y (neg.f64 x)))
(+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) (*.f64 y (neg.f64 x)))
(+ (* -1 (* x y)) (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) (*.f64 y (neg.f64 x)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))
(.f64 y (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y)) x))
(* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))
(.f64 y (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y)) x))
(* y (+ (* -1 x) (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))
(.f64 y (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y)) x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))
(.f64 y (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y)) x))
(* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))
(.f64 y (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y)) x))
(* -1 (* y (+ x (* -1 (/ (* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)) y)))))
(.f64 y (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y)) x))
(/ (- 1/2 y) (pow x 3))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))
(/ (- (+ 1/2 (* 1/8 x)) y) (pow x 3))
(/.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (.f64 x x)))
(/ (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) (pow x 3))
(/.f64 (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (.f64 x (*.f64 x x)))
(/ (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) (pow x 3))
(/.f64 (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (.f64 x (*.f64 x x)))
-1/192
#s(literal -1/192 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/192)
(+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
-1/192
#s(literal -1/192 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/192)
(+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
(- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))
(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
(- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192)
(+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
(- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)
(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
(- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)
(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
(- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3))))) 1/192)
(+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))))
(* -1 (/ y (pow x 3)))
(/.f64 (neg.f64 y) (.f64 x (.f64 x x)))
(* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x y))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x y))))) (/.f64 #s(literal -1/192 binary64) y)) (/.f64 (neg.f64 y) (.f64 x (*.f64 x x))))
(* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x y))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x y))))) (/.f64 #s(literal -1/192 binary64) y)) (/.f64 (neg.f64 y) (.f64 x (*.f64 x x))))
(* y (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x y))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x y))))) (/.f64 #s(literal -1/192 binary64) y)) (/.f64 (neg.f64 y) (.f64 x (*.f64 x x))))
(* -1 (/ y (pow x 3)))
(/.f64 (neg.f64 y) (.f64 x (.f64 x x)))
(* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))
(fma.f64 y (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y) (/.f64 (neg.f64 y) (.f64 x (*.f64 x x))))
(* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))
(fma.f64 y (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y) (/.f64 (neg.f64 y) (.f64 x (*.f64 x x))))
(* -1 (* y (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) 1/192) y)) (/ 1 (pow x 3)))))
(fma.f64 y (/.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))) y) (/.f64 (neg.f64 y) (.f64 x (*.f64 x x))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
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(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(* -1/480 (pow x 5))
(*.f64 #s(literal -1/480 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 5) (- (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1/480 (pow x 5))
(*.f64 #s(literal -1/480 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* x (+ 1/48 (* -1/480 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(* x (+ 1/48 (* -1/480 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(* x (+ 1/48 (* -1/480 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(* -1/480 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))))
(* -1/480 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x)))))

eval135.0ms (1.3%)

Memory: -7.1MiB live, 223.1MiB allocated
Compiler: Compiled 27 373 to 2 264 computations (91.7% saved)

prune135.0ms (1.3%)

Memory

17.5MiB live, 217.1MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	941	16	957
Fresh	1	13	14
Picked	2	3	5
Done	0	1	1
Total	944	33	977

Accuracy

100.0%

Counts

977 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.1%	(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
	12.6%	(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
▶	14.0%	(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
	10.0%	(fma.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
✓	91.5%	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
	54.6%	(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	78.2%	(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
▶	82.5%	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
	66.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
	77.4%	(-.f64 (neg.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))))) (.f64 x #s(literal -1/4 binary64))))) (.f64 x y))
✓	68.4%	(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
	12.5%	(.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))) x) (.f64 x (*.f64 x x)))
	12.9%	(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))))) (*.f64 x x))
	12.3%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
	4.4%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
	10.4%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (.f64 x x))))
▶	10.5%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))
	13.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (neg.f64 y) (.f64 x (.f64 x x))))
	5.5%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	6.1%	(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
	75.8%	(.f64 y (fma.f64 x (/.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
	14.6%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
	28.8%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
	28.5%	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
▶	32.9%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	49.5%	(*.f64 x (neg.f64 y))
✓	6.1%	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
▶	54.6%	(neg.f64 (log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	51.8%	(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
	51.9%	(log1p.f64 (exp.f64 x))
	50.3%	(log.f64 (+.f64 x #s(literal 2 binary64)))
	51.0%	(log.f64 #s(literal 2 binary64))
	76.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) #s(literal -1 binary64)))

Compiler

Compiled 1 175 to 665 computations (43.4% saved)

simplify280.0ms (2.8%)

Memory

-2.0MiB live, 437.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 (log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	640	(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
✓	cost-diff	1152	(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
✓	cost-diff	1344	(/.f64 (.f64 x x) (.f64 x x))
✓	cost-diff	1408	(/.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	2304	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))

Rules

8 560×	`lower-fma.f32`
8 550×	`lower-fma.f64`
2 896×	`lower-*.f32`
2 882×	`lower-*.f64`
2 500×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	246
0	57	208
1	134	199
2	385	191
3	1417	191
4	3659	191
5	6372	191
0	8035	187

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(*.f64 x x)
x
(/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 x (.f64 x x))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 x x) (.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(literal -1/192 binary64)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(neg.f64 (log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)

localize207.0ms (2%)

Memory

13.2MiB live, 248.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
✓	accuracy	78.4%	(log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	97.3%	(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
✓	accuracy	67.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
✓	accuracy	58.8%	(/.f64 (.f64 x x) (.f64 x x))
✓	accuracy	57.5%	(/.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	97.3%	(/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))
✓	accuracy	27.5%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))

Samples

158.0ms	255×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 262 to 37 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 104.0ms (74.6% of total)

ival-div: 10.0ms (7.2% of total)

const: 9.0ms (6.5% of total)

ival-add: 6.0ms (4.3% of total)

ival-log: 6.0ms (4.3% of total)

ival-sub: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series26.0ms (0.3%)

Memory

-45.9MiB live, 11.2MiB allocated

Counts

18 → 276

Calls

Call 1

Inputs
#<alt (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))>
#<alt (-.f64 #s(literal 1/2 binary64) y)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y))>
#<alt (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))>
#<alt (.f64 (.f64 x x) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))>
#<alt (/.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))>
#<alt (/.f64 (.f64 x x) (.f64 x x))>
#<alt (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))>
#<alt (fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))>
#<alt (neg.f64 (log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))>
#<alt (log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))>

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))>
#<alt (* x (- 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))>
#<alt (+ (log 2) (* 1/2 x))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (+ 1/2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* y (- (* 1/2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 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 (/ 1/2 (pow x 3))>
#<alt (+ (* -1 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* -1 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (+ (* -1 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 3))))>
#<alt (* -1 (/ y (pow x 3)))>
#<alt (* y (- (* 1/2 (/ 1 (* (pow x 3) y))) (/ 1 (pow x 3))))>
#<alt (* y (- (* 1/2 (/ 1 (* (pow x 3) y))) (/ 1 (pow x 3))))>
#<alt (* y (- (* 1/2 (/ 1 (* (pow x 3) y))) (/ 1 (pow x 3))))>
#<alt (* -1 (/ y (pow x 3)))>
#<alt (* -1 (* y (- (/ 1 (pow x 3)) (* 1/2 (/ 1 (* (pow x 3) y))))))>
#<alt (* -1 (* y (- (/ 1 (pow x 3)) (* 1/2 (/ 1 (* (pow x 3) y))))))>
#<alt (* -1 (* y (- (/ 1 (pow x 3)) (* 1/2 (/ 1 (* (pow x 3) y))))))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (/ (- 1/2 y) (pow x 3))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (+ (* -1 (* x y)) (* 1/2 x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* y (+ (* -1 x) (* 1/2 (/ x y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1/2 (/ x y)))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1/8>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (+ 1/8 (* -1/192 (pow x 2)))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* -1/192 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* -1/192 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))>
#<alt (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))>
#<alt (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))>
#<alt (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))>
#<alt (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) y))))>
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))) y)))))>
#<alt (* -1 (log 1/2))>
#<alt (- (* 1/2 x) (log 1/2))>
#<alt (- (* x (+ 1/2 (* 1/8 x))) (log 1/2))>
#<alt (- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))>
#<alt (* -1 (+ (log -1/480) (* -5 (log (/ 1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (* -5 (log (/ 1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))>
#<alt (- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))>
#<alt (* -1 (+ (log 1/480) (* -5 (log (/ -1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (* -5 (log (/ -1 x)))))>
#<alt (- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))>
#<alt (- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))>
#<alt (log 1/2)>
#<alt (+ (log 1/2) (* -1/2 x))>
#<alt (+ (log 1/2) (* x (- (* -1/8 x) 1/2)))>
#<alt (+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))>
#<alt (+ (log -1/480) (* -5 (log (/ 1 x))))>
#<alt (- (+ (log -1/480) (* -5 (log (/ 1 x)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))>
#<alt (+ (log 1/480) (* -5 (log (/ -1 x))))>
#<alt (- (+ (log 1/480) (* -5 (log (/ -1 x)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))>
#<alt (* -1/480 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (* (pow x 5) (- (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (* -1/480 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow x 2)) 1/4)>
#<alt (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)>
#<alt (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)>
#<alt (* -1/480 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (* -1/480 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/48>
#<alt (+ 1/48 (* -1/480 (pow x 2)))>
#<alt (+ 1/48 (* -1/480 (pow x 2)))>
#<alt (+ 1/48 (* -1/480 (pow x 2)))>
#<alt (* -1/480 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* -1/480 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>
#<alt (* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))>

Calls

69 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	0	(/ (- 1/2 y) (* x (* x x)))
0.0ms	y	@	inf	(+ (* x (- 1/2 y)) (log 2))
0.0ms	x	@	-inf	(+ (* x (- 1/2 y)) (log 2))
0.0ms	y	@	0	(+ (* (/ (* x x) (* x x)) (/ (* x x) (/ x (- 1/2 y)))) (* (* x x) (* (* x x) (+ -1/192 (/ 1/8 (* x x))))))

rewrite387.0ms (3.8%)

Memory

34.3MiB live, 576.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 612×	`lower-fma.f32`
5 602×	`lower-fma.f64`
4 592×	`lower-*.f32`
4 578×	`lower-*.f64`
4 148×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	179
0	57	143
1	261	136
2	2064	130
0	8801	127

Stop Event

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

Counts

18 → 915

Calls

Call 1

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

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) (*.f64 x x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))) x) (.f64 x (*.f64 x x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (log.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (log.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
(.f64 (.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) y)
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
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(fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64))
(fma.f64 (*.f64 x #s(literal -1/480 binary64)) x #s(literal 1/48 binary64))
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(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (.f64 (*.f64 x x) #s(literal -1/23040 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))

simplify511.0ms (5.1%)

Memory

-30.2MiB live, 715.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 772×	`lower-fma.f64`
18 772×	`lower-fma.f32`
4 142×	`lower-*.f64`
4 142×	`lower-*.f32`
3 864×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	2161
1	588	2032
2	1663	2009
3	4578	1991
0	8472	1905

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 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)
(/ 1/2 (pow x 3))
(+ (* -1 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 3))))
(+ (* -1 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 3))))
(+ (* -1 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 3))))
(* -1 (/ y (pow x 3)))
(* y (- (* 1/2 (/ 1 (* (pow x 3) y))) (/ 1 (pow x 3))))
(* y (- (* 1/2 (/ 1 (* (pow x 3) y))) (/ 1 (pow x 3))))
(* y (- (* 1/2 (/ 1 (* (pow x 3) y))) (/ 1 (pow x 3))))
(* -1 (/ y (pow x 3)))
(* -1 (* y (- (/ 1 (pow x 3)) (* 1/2 (/ 1 (* (pow x 3) y))))))
(* -1 (* y (- (/ 1 (pow x 3)) (* 1/2 (/ 1 (* (pow x 3) y))))))
(* -1 (* y (- (/ 1 (pow x 3)) (* 1/2 (/ 1 (* (pow x 3) y))))))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(/ (- 1/2 y) (pow x 3))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1
1
1
1
1
1
1
1
1
1
1
1
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(+ 1/8 (* -1/192 (pow x 2)))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)))
(+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
(+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
(+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* 1/2 x) (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))) y)))))
(* -1 (log 1/2))
(- (* 1/2 x) (log 1/2))
(- (* x (+ 1/2 (* 1/8 x))) (log 1/2))
(- (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) (log 1/2))
(* -1 (+ (log -1/480) (* -5 (log (/ 1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (* -5 (log (/ 1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))
(- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))))
(* -1 (+ (log 1/480) (* -5 (log (/ -1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (* -5 (log (/ -1 x)))))
(- (* 10 (/ 1 (pow x 2))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))
(- (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))) (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))))
(log 1/2)
(+ (log 1/2) (* -1/2 x))
(+ (log 1/2) (* x (- (* -1/8 x) 1/2)))
(+ (log 1/2) (* x (- (* x (- (* 1/192 (pow x 2)) 1/8)) 1/2)))
(+ (log -1/480) (* -5 (log (/ 1 x))))
(- (+ (log -1/480) (* -5 (log (/ 1 x)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log -1/480) (+ (* -5 (log (/ 1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))
(+ (log 1/480) (* -5 (log (/ -1 x))))
(- (+ (log 1/480) (* -5 (log (/ -1 x)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (* 10 (/ 1 (pow x 2))))
(- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(* -1/480 (pow x 5))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(* (pow x 5) (- (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))) (+ 1/480 (/ 1/4 (pow x 4)))))
(* -1/480 (pow x 5))
(* -1 (* (pow x 5) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))))))
-1/4
(- (* 1/48 (pow x 2)) 1/4)
(- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)
(- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)
(* -1/480 (pow x 4))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(* -1/480 (pow x 4))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/48
(+ 1/48 (* -1/480 (pow x 2)))
(+ 1/48 (* -1/480 (pow x 2)))
(+ 1/48 (* -1/480 (pow x 2)))
(* -1/480 (pow x 2))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* -1/480 (pow x 2))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (neg.f64 y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (neg.f64 y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (neg.f64 y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
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(+.f64 (log.f64 #s(literal 1/480 binary64)) (+.f64 (/.f64 #s(literal 70 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -10 binary64) (.f64 x x)))))
(- (+ (log 1/480) (+ (* -5 (log (/ -1 x))) (/ 70 (pow x 4)))) (+ (* 10 (/ 1 (pow x 2))) (* 240 (/ 1 (pow x 5)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/480 binary64)) (+.f64 (/.f64 #s(literal 70 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -10 binary64) (.f64 x x))))) (/.f64 #s(literal -240 binary64) (pow.f64 x #s(literal 5 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(* -1/480 (pow x 5))
(*.f64 #s(literal -1/480 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* (pow x 5) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/480 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/480 (pow x 5))
(*.f64 #s(literal -1/480 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 1/480 (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (* 1/48 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ 1/480 (/ 1/4 (pow x 4))) (+ (* 1/48 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 5)))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/480 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow x 2)) 1/4)
(fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* -1/480 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1/480 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/480 binary64)))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (* 1/48 (/ 1 (pow x 2))) (+ 1/480 (/ 1/4 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/480 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(* -1/480 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/480 binary64))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(* -1/480 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/480 binary64))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(* (pow x 2) (- (* 1/48 (/ 1 (pow x 2))) 1/480))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))

eval532.0ms (5.3%)

Memory: 22.1MiB live, 320.7MiB allocated
Compiler: Compiled 45 096 to 3 052 computations (93.2% saved)

prune668.0ms (6.6%)

Memory

-0.6MiB live, 445.6MiB allocated

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	1 540	31	1 571
Fresh	10	14	24
Picked	3	2	5
Done	1	3	4
Total	1 554	50	1 604

Accuracy

100.0%

Counts

1 604 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.1%	(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (neg.f64 y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
	19.8%	(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (.f64 x (neg.f64 y)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
	15.4%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))))
	18.8%	(fma.f64 (.f64 x (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))))
✓	91.5%	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
	54.6%	(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	51.4%	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	10.8%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x)))
	17.8%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))
	8.4%	(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
	28.6%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) y)) x)
	10.9%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
	32.8%	(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
	60.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
	32.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
	53.3%	(-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))
	23.6%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x))
	20.4%	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))))
	11.3%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))) x) (.f64 x (.f64 x x)))
	10.7%	(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
	12.9%	(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))))) (*.f64 x x))
	10.4%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (.f64 x x))))
	10.0%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x y)) (.f64 (.f64 x x) (.f64 x x))))
	7.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) y)) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
	5.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) y))))
	1.2%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))
	5.5%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	21.8%	(.f64 (.f64 x (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	5.5%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
	6.1%	(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
	23.6%	(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))))
	75.8%	(.f64 y (fma.f64 x (/.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
	9.1%	(.f64 x (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
	14.6%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
	28.8%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
	28.5%	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
✓	32.9%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	18.9%	(.f64 x (.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))))
✓	49.5%	(*.f64 x (neg.f64 y))
	3.5%	(*.f64 x #s(literal 1/2 binary64))
✓	6.1%	(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	54.6%	(neg.f64 (log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	50.5%	(neg.f64 (log.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	51.3%	(neg.f64 (log.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	51.8%	(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
	54.6%	(neg.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))) (*.f64 x #s(literal -1/4 binary64)))))
	51.9%	(log1p.f64 (exp.f64 x))
	50.3%	(log.f64 (+.f64 x #s(literal 2 binary64)))
	51.0%	(log.f64 #s(literal 2 binary64))
	76.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) #s(literal -1 binary64)))

Compiler

Compiled 2 072 to 736 computations (64.5% saved)

regimes104.0ms (1%)

Memory

-8.6MiB live, 68.7MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 x x) (.f64 #s(literal -1/192 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) y)) x)
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(.f64 x (.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x x))))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 x (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (neg.f64 y) (.f64 x (.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))) x) (.f64 x (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x)))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (.f64 x (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (*.f64 x x)))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x)))))) (*.f64 x x))
(.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x x))))) x) (.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (.f64 x x)) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (.f64 x (neg.f64 y)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x y)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) y)) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (neg.f64 y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(fma.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(log.f64 #s(literal 2 binary64))
(log.f64 (+.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 x y))
(-.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(-.f64 (neg.f64 (log.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 x y))
(neg.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))) (*.f64 x #s(literal -1/4 binary64)))))
(-.f64 (neg.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/480 binary64) #s(literal 1/48 binary64))))) (.f64 x #s(literal -1/4 binary64))))) (.f64 x y))
(.f64 y (fma.f64 x (/.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 x y))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.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 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))))
(.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))

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

Calls

3 calls:

50.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
31.0ms	x
20.0ms	y

Results

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes100.0ms (1%)

Memory

10.1MiB live, 85.9MiB allocated

Counts

67 → 2

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	y
19.0ms	x
16.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
91.5%	1	`y`
98.2%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes21.0ms (0.2%)

Memory

-6.2MiB live, 35.5MiB allocated

Counts

59 → 2

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-7.1MiB live, 32.3MiB allocated

Counts

55 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

12.7MiB live, 49.9MiB allocated

Counts

51 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

3.4MiB live, 41.8MiB allocated

Counts

50 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory

24.2MiB live, 65.9MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(neg.f64 (log.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 x (neg.f64 y))

Calls

2 calls:

16.0ms	x
12.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
97.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
83.4%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes17.0ms (0.2%)

Memory

-1.4MiB live, 35.5MiB allocated

Counts

48 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
97.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.2%)

Memory

1.2MiB live, 39.8MiB allocated

Counts

47 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
97.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory

4.1MiB live, 43.4MiB allocated

Counts

46 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
96.8%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes46.0ms (0.5%)

Memory

-33.4MiB live, 96.3MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
14.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
49.5%	1	`x`
49.5%	1	`y`
49.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0%)

Memory

12.8MiB live, 12.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`y`
3.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch16.0ms (0.2%)

Memory

-6.0MiB live, 33.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-46959136.28112001	-47.51778680086313

Samples

8.0ms

144×

valid

Compiler

Compiled 239 to 173 computations (27.6% saved)

Precisions

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

ival-exp: 2.0ms (43.8% of total)

ival-sub: 1.0ms (21.9% of total)

ival-log1p: 1.0ms (21.9% of total)

ival-mult: 1.0ms (21.9% of total)

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

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

bsearch4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-46959136.28112001	-47.51778680086313

Samples

2.0ms

32×

valid

Compiler

Compiled 194 to 146 computations (24.7% saved)

Precisions

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

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

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

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

ival-log1p: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-46959136.28112001	-47.51778680086313

Compiler

Compiled 167 to 128 computations (23.4% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-46959136.28112001	-47.51778680086313

Compiler

Compiled 158 to 119 computations (24.7% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-46959136.28112001	-47.51778680086313

Compiler

Compiled 158 to 119 computations (24.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8191122288520145	3.4934735906575765
0.0ms	0.008305275433543547	0.693144676728238

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.4934735906575765	158297.08730622754
0.0ms	0.008305275433543547	0.693144676728238

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.4934735906575765	158297.08730622754
0.0ms	0.008305275433543547	0.693144676728238

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch7.0ms (0.1%)

Memory

-40.3MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.4934735906575765	158297.08730622754
0.0ms	0.008305275433543547	0.693144676728238

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify9.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	245
1	80	245
2	93	245
3	99	245
4	101	245

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -48 binary64)) (.f64 x (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -48 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) (neg.f64 (log.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 x (neg.f64 y))))
(*.f64 x (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -48 binary64)) (.f64 x (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -48 binary64)) (neg.f64 (.f64 x y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -48 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -48 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -53 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -53 binary64)) (neg.f64 (.f64 x y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) (neg.f64 (log.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (neg.f64 (.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) (neg.f64 (log.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (neg.f64 (.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (neg.f64 (.f64 x y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (neg.f64 (.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (neg.f64 (.f64 x y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 x (neg.f64 y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/576460752303423488 binary64)) (neg.f64 (.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5 binary64)) (log.f64 #s(literal 2 binary64)) (neg.f64 (.f64 x y))))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 x y))
(*.f64 x #s(literal 1/2 binary64))

soundness1.7s (17.1%)

Memory

10.7MiB live, 1 215.0MiB allocated

Rules

18 772×	`lower-fma.f64`
18 772×	`lower-fma.f32`
11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
9 284×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	2161
1	588	2032
2	1663	2009
3	4578	1991
0	8472	1905
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16
0	28	115
0	54	115
1	245	98
2	2029	98
0	9462	92
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300
0	330	2703
1	976	2581
2	2675	2564
0	8583	2469
0	289	2468
1	811	2412
2	2092	2380
3	6661	2377
0	8331	2098

Stop Event

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

Compiler

Compiled 499 to 237 computations (52.5% saved)

preprocess165.0ms (1.6%)

Memory: -13.7MiB live, 178.9MiB allocated
Compiler: Compiled 572 to 164 computations (71.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

analyze109.0ms (1.1%)

sample1.1s (10.4%)

preprocess32.0ms (0.3%)

explain103.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.1%)

localize27.0ms (0.3%)

series62.0ms (0.6%)

rewrite330.0ms (3.3%)

simplify272.0ms (2.7%)

eval125.0ms (1.2%)

prune66.0ms (0.7%)

simplify285.0ms (2.8%)

localize94.0ms (0.9%)

series83.0ms (0.8%)

rewrite365.0ms (3.6%)

simplify313.0ms (3.1%)

eval131.0ms (1.3%)

prune108.0ms (1.1%)

simplify340.0ms (3.4%)

localize126.0ms (1.2%)

series19.0ms (0.2%)

rewrite378.0ms (3.7%)

simplify448.0ms (4.4%)

eval135.0ms (1.3%)

prune135.0ms (1.3%)

simplify280.0ms (2.8%)

localize207.0ms (2%)

series26.0ms (0.3%)

rewrite387.0ms (3.8%)

simplify511.0ms (5.1%)

eval532.0ms (5.3%)

prune668.0ms (6.6%)

regimes104.0ms (1%)

regimes100.0ms (1%)

regimes21.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes18.0ms (0.2%)

regimes31.0ms (0.3%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes15.0ms (0.1%)

regimes46.0ms (0.5%)

regimes4.0ms (0%)

bsearch16.0ms (0.2%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.7s (17.1%)

preprocess165.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22