Metrics for Logistic regression 2

analyze66.0ms (0.9%)

Memory

18.6MiB live, 98.3MiB 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 (14.8%)

Memory

23.7MiB live, 1 555.1MiB allocated

Samples

480.0ms	8 256×	0	valid
238.0ms	2 656×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-log1p: 120.0ms (29.6% of total)

ival-exp: 92.0ms (22.7% of total)

ival-mult: 91.0ms (22.4% of total)

ival-sub: 49.0ms (12.1% of total)

adjust: 41.0ms (10.1% of total)

ival-true: 8.0ms (2% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

preprocess38.0ms (0.5%)

Memory

8.0MiB live, 79.9MiB 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))

explain108.0ms (1.5%)

Memory

0.1MiB live, 238.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
3	80	(-6.302714915469877e+249 -2.8268910720047845e+278)	-	`(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	81	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	81	173

Precision

0.024096385542168676

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	81	0	173

Precision?

0.024096385542168676

Recall?

1.0

Freqs

test

number	freq
0	173
1	83

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 11.0ms (39.4% of total)

ival-exp: 5.0ms (17.9% of total)

ival-log1p: 5.0ms (17.9% of total)

ival-mult: 4.0ms (14.3% of total)

ival-sub: 2.0ms (7.2% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify15.0ms (0.2%)

Memory

-5.5MiB live, 33.9MiB 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

localize26.0ms (0.4%)

Memory

16.9MiB live, 55.9MiB 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	98.8%	(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: 10.0ms

ival-log1p: 4.0ms (38.5% of total)

ival-exp: 2.0ms (19.3% of total)

ival-mult: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.9%)

Memory

-43.9MiB live, 98.8MiB 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
28.0ms	x	@	inf	(log (+ 1 (exp x)))
28.0ms	x	@	-inf	(log (+ 1 (exp x)))
5.0ms	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))

rewrite299.0ms (4%)

Memory

42.7MiB live, 476.2MiB 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))))
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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))

simplify309.0ms (4.2%)

Memory

-23.0MiB live, 298.8MiB 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)

eval75.0ms (1%)

Memory: 15.8MiB live, 54.1MiB allocated
Compiler: Compiled 15 047 to 1 438 computations (90.4% saved)

prune137.0ms (1.8%)

Memory

-15.5MiB live, 61.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	412	7	419
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	7	420

Accuracy

100.0%

Counts

420 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.9%	(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)))
▶	82.1%	(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
▶	88.2%	(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
▶	95.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
▶	51.8%	(*.f64 x (neg.f64 y))
	48.9%	(log1p.f64 (exp.f64 x))
▶	48.1%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify105.0ms (1.4%)

Memory

-5.2MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2 120×	`lower-fma.f32`
2 114×	`lower-fma.f64`
520×	`lower-*.f32`
516×	`lower-*.f64`
432×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
0	28	68
1	48	68
2	80	68
3	164	68
4	279	68
5	457	68
6	826	68
7	1289	68
8	1751	68
9	1823	68
10	1831	68
11	1831	68
0	1831	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.1%)

Memory

-1.0MiB live, 37.8MiB allocated

Localize:

Found 13 expressions of interest:

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

Samples

31.0ms

256×

valid

Compiler

Compiled 75 to 20 computations (73.3% saved)

Precisions

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

ival-mult: 8.0ms (41.9% of total)

ival-sub: 3.0ms (15.7% of total)

ival-log: 3.0ms (15.7% of total)

ival-add: 3.0ms (15.7% of total)

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

10 → 180

Calls

Call 1

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

Calls

45 calls:

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

rewrite397.0ms (5.4%)

Memory

6.6MiB live, 201.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 136×	`lower-fma.f32`
5 130×	`lower-fma.f64`
5 018×	`lower-*.f32`
5 014×	`lower-*.f64`
4 356×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	28	47
1	114	47
2	879	47
0	8414	47

Stop Event

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

Counts

10 → 356

Calls

Call 1

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

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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)))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))
(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 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (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)))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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))))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) y (log.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (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 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (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 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))) (neg.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x (neg.f64 y))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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 (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 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.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))) (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 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) (.f64 x (.f64 y (.f64 x y))))) (.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)) #s(literal 3 binary64)))) (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 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (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 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (neg.f64 (neg.f64 (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 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 y (.f64 x (.f64 x y)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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)) (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)))) (fma.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 x (neg.f64 y)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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)) (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 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (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 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (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 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (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 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 x (neg.f64 y)))))))
(.f64 (.f64 (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (log.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (neg.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 (neg.f64 (.f64 (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) (fma.f64 x y (log.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (log.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))))
(log.f64 #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(neg.f64 y)
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (neg.f64 (*.f64 y y)) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(.f64 (neg.f64 (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 (neg.f64 y) x)
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(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))

simplify330.0ms (4.4%)

Memory

-25.2MiB live, 313.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 996×	`lower-fma.f64`
8 996×	`lower-fma.f32`
2 624×	`lower-*.f64`
2 624×	`lower-*.f32`
1 876×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	982
1	341	970
2	940	970
3	3745	966
4	7988	966
0	8709	884

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval70.0ms (0.9%)

Memory: 4.8MiB live, 159.1MiB allocated
Compiler: Compiled 13 177 to 1 309 computations (90.1% saved)

prune55.0ms (0.7%)

Memory

15.3MiB live, 138.1MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	528	11	539
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	530	16	546

Accuracy

100.0%

Counts

546 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
▶	75.9%	(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)))
	52.8%	(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	48.5%	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	58.4%	(/.f64 (fma.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))))
	17.1%	(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
	24.3%	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
✓	95.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
	82.1%	(+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64)))
▶	33.1%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
	35.1%	(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
▶	41.3%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	7.9%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	51.8%	(*.f64 x (neg.f64 y))
	48.9%	(log1p.f64 (exp.f64 x))
✓	48.1%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 428 to 234 computations (45.3% saved)

simplify222.0ms (3%)

Memory

-23.5MiB live, 377.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(neg.f64 (*.f64 y y))
✓	cost-diff	0	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
✓	cost-diff	448	(/.f64 y (neg.f64 (*.f64 y y)))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
✓	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	(neg.f64 y)
✓	cost-diff	0	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))

Rules

9 086×	`lower-fma.f32`
9 076×	`lower-fma.f64`
3 174×	`lower-*.f32`
3 166×	`lower-*.f64`
1 374×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	42	108
1	87	106
2	199	99
3	576	99
4	1375	99
5	3354	99
6	5579	99
0	8178	99

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

localize84.0ms (1.1%)

Memory

9.6MiB live, 209.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 2 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%	(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	99.9%	(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
✓	accuracy	100.0%	(neg.f64 (*.f64 y y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
✓	accuracy	53.6%	(/.f64 y (neg.f64 (*.f64 y y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(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

256×

valid

Compiler

Compiled 124 to 29 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (39.4% of total)

ival-add: 5.0ms (14.1% of total)

const: 4.0ms (11.3% of total)

ival-div: 3.0ms (8.4% of total)

ival-log: 3.0ms (8.4% of total)

ival-neg: 3.0ms (8.4% of total)

ival-sub: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

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

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

series11.0ms (0.2%)

Memory

-6.3MiB live, 31.9MiB allocated

Counts

13 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite415.0ms (5.6%)

Memory

5.5MiB live, 769.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 744×	`lower-fma.f32`
6 734×	`lower-fma.f64`
4 006×	`lower-*.f32`
3 998×	`lower-*.f64`
3 534×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	83
0	42	75
1	174	75
2	1302	68
0	8403	68

Stop Event

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

Counts

13 → 567

Calls

Call 1

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

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

simplify306.0ms (4.1%)

Memory

18.1MiB live, 400.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 092×	`lower-fma.f64`
11 092×	`lower-fma.f32`
3 358×	`lower-*.f64`
3 358×	`lower-*.f32`
2 766×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1329
1	400	1309
2	1172	1280
3	3769	1262
0	8403	1172

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval118.0ms (1.6%)

Memory: 10.2MiB live, 203.3MiB allocated
Compiler: Compiled 21 699 to 1 942 computations (91.1% saved)

prune108.0ms (1.5%)

Memory

-25.3MiB live, 199.3MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	819	15	834
Fresh	1	7	8
Picked	2	3	5
Done	0	3	3
Total	822	28	850

Accuracy

100.0%

Counts

850 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
	53.8%	(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)))
	52.8%	(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	48.5%	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	58.4%	(/.f64 (fma.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))))
	30.6%	(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
	13.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
	25.0%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
	10.4%	(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
	24.3%	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
	51.7%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
▶	25.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
✓	95.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
▶	82.1%	(+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64)))
	30.6%	(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
	30.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
	21.6%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
	14.8%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
	33.1%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
▶	5.6%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
▶	51.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
	35.1%	(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
✓	41.3%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	7.9%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	51.8%	(*.f64 x (neg.f64 y))
▶	3.7%	(*.f64 x #s(literal 1/2 binary64))
	48.9%	(log1p.f64 (exp.f64 x))
✓	48.1%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 766 to 449 computations (41.4% saved)

simplify192.0ms (2.6%)

Memory

23.1MiB live, 176.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))
✓	cost-diff	448	(/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64)))))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))))))
✓	cost-diff	3264	(.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
✓	cost-diff	0	(+.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
✓	cost-diff	128	(+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64)))

Rules

3 404×	`lower-fma.f32`
3 400×	`lower-fma.f64`
2 992×	`lower-/.f32`
2 980×	`lower-/.f64`
2 512×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	264
0	59	167
1	113	143
2	298	137
3	1667	137
4	4708	137
0	8226	136

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.4%)

Memory

10.6MiB live, 165.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64)))
✓	accuracy	53.6%	(/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64)))))
✓	accuracy	15.2%	(.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y y) #s(literal 0 binary64))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
✓	accuracy	89.0%	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
✓	accuracy	88.7%	(/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))
✓	accuracy	100.0%	(+.f64 (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (log.f64 #s(literal 2 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 276 to 37 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 18.0ms (39.9% of total)

ival-div: 11.0ms (24.4% of total)

ival-log: 6.0ms (13.3% of total)

ival-add: 5.0ms (11.1% of total)

ival-sub: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

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

series14.0ms (0.2%)

Memory

-19.4MiB live, 19.1MiB allocated

Counts

16 → 264

Calls

Call 1

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

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* x (- 1/2 y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))>
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))>
#<alt (* x (- 1/2 y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (+ 1/2 (* 1/8 x)))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))>
#<alt (- 1/2 y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (- (+ 1/2 (* 1/8 x)) y)>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))>
#<alt (+ 1/2 (* 1/8 x))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ 2 x)>
#<alt (+ (* 4 (/ y x)) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y))>
#<alt (/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y))>
#<alt (* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))>
#<alt (* 1/4 x)>
#<alt (+ (* -1 (* x (pow y 2))) (* 1/4 x))>
#<alt (+ (* -1 (* x (pow y 2))) (* 1/4 x))>
#<alt (+ (* -1 (* x (pow y 2))) (* 1/4 x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<alt (* x (- 1/4 (pow y 2)))>
#<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 (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<alt (/ 1 (pow y 4))>
#<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)>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x 1/2)
1.0ms	x	@	0	(/ (+ y 1/2) (* (- 1/4 (* y y)) x))
1.0ms	x	@	inf	(/ (+ y 1/2) (* (- 1/4 (* y y)) x))
0.0ms	y	@	0	(/ 1 (+ (* (* y y) (* y y)) 0))
0.0ms	y	@	inf	(/ (+ y 1/2) (* (- 1/4 (* y y)) x))

rewrite311.0ms (4.2%)

Memory

-10.4MiB live, 384.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 320×	`lower-fma.f32`
6 316×	`lower-fma.f64`
3 798×	`lower-/.f32`
3 784×	`lower-/.f64`
3 590×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	164
0	57	124
1	228	92
2	1619	80
0	8502	79

Stop Event

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

Counts

16 → 649

Calls

Call 1

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

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

simplify579.0ms (7.8%)

Memory

-168.2MiB live, 433.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 782×	`lower-fma.f64`
11 782×	`lower-fma.f32`
4 036×	`lower-*.f64`
4 036×	`lower-*.f32`
3 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1818
1	483	1752
2	1303	1742
3	3736	1676
0	8358	1599

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (+ 1/2 (* 1/8 x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(* -1 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ 2 x)
(+ (* 4 (/ y x)) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y))
(/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y))
(* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(* 1/4 x)
(+ (* -1 (* x (pow y 2))) (* 1/4 x))
(+ (* -1 (* x (pow y 2))) (* 1/4 x))
(+ (* -1 (* x (pow y 2))) (* 1/4 x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* x (- 1/4 (pow y 2)))
(* 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 (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(/ 1 (pow y 4))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)

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 (* 1/8 x)) y)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.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 (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) y)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) y)))
(+ (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) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 x (fma.f64 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))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y (log.f64 #s(literal 2 binary64))) y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y (log.f64 #s(literal 2 binary64))) y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y (log.f64 #s(literal 2 binary64))) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.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 (* 1/8 x)) y))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* 1/8 (pow x 2))
(.f64 x (.f64 x #s(literal 1/8 binary64)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* x (+ 1/2 (* 1/8 x)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
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eval148.0ms (2%)

Memory: 19.7MiB live, 236.0MiB allocated
Compiler: Compiled 30 173 to 4 192 computations (86.1% saved)

prune164.0ms (2.2%)

Memory

-39.2MiB live, 335.4MiB allocated

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1 198	15	1 213
Fresh	2	15	17
Picked	3	2	5
Done	0	6	6
Total	1 203	38	1 241

Accuracy

100.0%

Counts

1 241 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64)))
	53.8%	(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)))
	52.8%	(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	48.5%	(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	58.4%	(/.f64 (fma.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))))
	30.6%	(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
	24.9%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
	13.9%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
	25.0%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
	10.4%	(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
	24.3%	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
	51.7%	(/.f64 x (/.f64 #s(literal -1 binary64) y))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
	4.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
	6.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))
	24.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
	3.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
	3.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	11.1%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
	26.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
	41.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
✓	95.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))
	52.8%	(+.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
	30.6%	(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
	30.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
	21.6%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
	14.8%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
	35.1%	(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
	33.1%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
	10.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
✓	51.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
	10.4%	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
✓	41.3%	(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
	7.9%	(.f64 x (.f64 x #s(literal 1/8 binary64)))
✓	51.8%	(*.f64 x (neg.f64 y))
✓	3.7%	(*.f64 x #s(literal 1/2 binary64))
	48.9%	(log1p.f64 (exp.f64 x))
✓	48.1%	(log.f64 #s(literal 2 binary64))

Compiler

Compiled 1 252 to 544 computations (56.5% saved)

regimes44.0ms (0.6%)

Memory

32.5MiB live, 70.5MiB allocated

Counts

49 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 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)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 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)))
(+.f64 (*.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 (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)))
(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)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(/.f64 (fma.f64 (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #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 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))) (.f64 x (.f64 (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))))))

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

Calls

3 calls:

16.0ms	y
13.0ms	x
12.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes47.0ms (0.6%)

Memory

-21.4MiB live, 55.4MiB allocated

Counts

47 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 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)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 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)))
(+.f64 (*.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 (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)))
(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)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
(log1p.f64 (exp.f64 x))

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

3 calls:

18.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
14.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
99.2%	2	`x`
95.4%	1	`y`
98.1%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes13.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

41 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 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)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 x (fma.f64 x #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 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-24.4MiB live, 19.4MiB allocated

Counts

38 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 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:

12.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

37 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))
(log.f64 #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 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:

10.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.4%)

Memory

7.1MiB live, 45.9MiB allocated

Counts

36 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))
(log.f64 #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

3 calls:

11.0ms	x
10.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
74.4%	3	`y`
96.7%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
82.4%	3	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.2%)

Memory

-23.8MiB live, 14.8MiB allocated

Counts

35 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) 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:

10.0ms

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

Results

Accuracy	Segments	Branch
96.6%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes30.0ms (0.4%)

Memory

3.3MiB live, 41.6MiB allocated

Counts

34 → 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 x #s(literal 1/8 binary64)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)))
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (+.f64 #s(literal 0 binary64) (.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 x (.f64 y (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))) x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal -1/192 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y y)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 y (.f64 y y)))) (neg.f64 (.f64 y (.f64 y y)))))) x)))

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

Calls

3 calls:

10.0ms	y
9.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
51.8%	1	`y`
51.8%	1	`x`
51.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
3.7%	1	`y`
3.7%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.7%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch14.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-12646175.032529313	-55.797871875182615

Samples

7.0ms

144×

valid

Compiler

Compiled 194 to 146 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (46.4% of total)

ival-sub: 1.0ms (23.2% of total)

ival-log1p: 1.0ms (23.2% of total)

ival-mult: 1.0ms (23.2% of total)

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

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

bsearch11.0ms (0.1%)

Memory

-32.2MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-12646175.032529313	-55.797871875182615

Samples

4.0ms

80×

valid

Compiler

Compiled 167 to 128 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (40.8% of total)

ival-log1p: 1.0ms (40.8% of total)

ival-mult: 1.0ms (40.8% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-12646175.032529313	-55.797871875182615

Compiler

Compiled 158 to 119 computations (24.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-12646175.032529313	-55.797871875182615

Compiler

Compiled 158 to 119 computations (24.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	93.35290539691027	121252000.36403443
0.0ms	7.48908176033569e-54	0.5630895546795414

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	93.35290539691027	121252000.36403443
0.0ms	7.48908176033569e-54	0.5630895546795414

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify8.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	148
1	60	148
2	71	148
3	76	148
4	78	148

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 -125 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 -56 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 -125 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -125 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 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 100 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 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 100 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 -125 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 -125 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 -56 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 -56 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 -125 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -125 binary64)) (neg.f64 (*.f64 x y)) (fma.f64 (neg.f64 y) x (log.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -125 binary64)) (.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))
(if (<=.f64 x #s(literal -125 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 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 100 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 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (neg.f64 (.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 100 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 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 100 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 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (neg.f64 (.f64 x y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 100 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))

soundness1.0s (13.9%)

Memory

-24.0MiB live, 538.5MiB allocated

Rules

11 474×	`lower-fma.f64`
11 474×	`lower-fma.f32`
11 092×	`lower-fma.f64`
11 092×	`lower-fma.f32`
8 996×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	982
1	341	970
2	940	970
3	3745	966
4	7988	966
0	8709	884
0	67	400
1	180	400
2	389	400
3	1353	400
4	4014	370
5	6856	370
0	8132	300
0	137	1329
1	400	1309
2	1172	1280
3	3769	1262
0	8403	1172
0	15	47
0	28	47
1	114	47
2	879	47
0	8414	47

Stop Event

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

Compiler

Compiled 278 to 134 computations (51.8% saved)

preprocess85.0ms (1.1%)

Memory: 29.2MiB live, 182.6MiB allocated
Compiler: Compiled 378 to 130 computations (65.6% 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

analyze66.0ms (0.9%)

sample1.1s (14.8%)

preprocess38.0ms (0.5%)

explain108.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize26.0ms (0.4%)

series64.0ms (0.9%)

rewrite299.0ms (4%)

simplify309.0ms (4.2%)

eval75.0ms (1%)

prune137.0ms (1.8%)

simplify105.0ms (1.4%)

localize79.0ms (1.1%)

series12.0ms (0.2%)

rewrite397.0ms (5.4%)

simplify330.0ms (4.4%)

eval70.0ms (0.9%)

prune55.0ms (0.7%)

simplify222.0ms (3%)

localize84.0ms (1.1%)

series11.0ms (0.2%)

rewrite415.0ms (5.6%)

simplify306.0ms (4.1%)

eval118.0ms (1.6%)

prune108.0ms (1.5%)

simplify192.0ms (2.6%)

localize107.0ms (1.4%)

series14.0ms (0.2%)

rewrite311.0ms (4.2%)

simplify579.0ms (7.8%)

eval148.0ms (2%)

prune164.0ms (2.2%)

regimes44.0ms (0.6%)

regimes47.0ms (0.6%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes32.0ms (0.4%)

regimes11.0ms (0.2%)

regimes30.0ms (0.4%)

regimes4.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.0s (13.9%)

preprocess85.0ms (1.1%)

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