Metrics for neg log

analyze2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample664.0ms (9.3%)

Memory

59.6MiB live, 848.1MiB allocated

Samples

427.0ms	8 256×	0	valid
1.0ms	19×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-log: 107.0ms (38% of total)

ival-div: 89.0ms (31.6% of total)

ival-sub: 39.0ms (13.8% of total)

ival-neg: 33.0ms (11.7% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess18.0ms (0.3%)

Memory

-18.7MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`sub-neg`
16×	`+-commutative`
12×	`lower-+.f64`
12×	`lower-+.f32`
12×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

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

explain124.0ms (1.7%)

Memory

-9.7MiB live, 116.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
-	-	`(/.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
-	-	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

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

ival-log: 7.0ms (41.7% of total)

ival-div: 4.0ms (23.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`sub-neg`
8×	`lower--.f32`
6×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	17	23
2	20	23
3	22	23
4	24	23
5	28	23
6	33	23
0	33	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

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

localize27.0ms (0.4%)

Memory

-2.2MiB live, 35.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-log: 3.0ms (37.6% of total)

ival-div: 2.0ms (25.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	inf	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	0	(- (/ 1 x) 1)
0.0ms	x	@	-inf	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	0	(/ 1 x)

simplify323.0ms (4.5%)

Memory

21.6MiB live, 255.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 216×	`lower-fma.f64`
5 216×	`lower-fma.f32`
1 376×	`lower-*.f64`
1 376×	`lower-*.f32`
944×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	313
1	190	292
2	397	290
3	962	280
4	1965	278
5	4210	278
6	5604	278
7	5777	278
8	5792	278
9	5792	278
10	5792	278
11	5967	278
12	5993	278
13	5993	278
0	5993	270

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite316.0ms (4.4%)

Memory

-8.6MiB live, 366.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 528×	`lower-fma.f64`
3 528×	`lower-fma.f32`
2 728×	`lower-/.f32`
2 726×	`lower-/.f64`
1 996×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	38	21
2	236	21
3	2504	21
0	9279	18

Stop Event

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

Counts

4 → 345

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)

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

eval61.0ms (0.9%)

Memory: -11.0MiB live, 104.3MiB allocated
Compiler: Compiled 11 114 to 1 317 computations (88.2% saved)

prune50.0ms (0.7%)

Memory

-7.9MiB live, 115.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	390	3	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	390	4	394

Accuracy

100.0%

Counts

394 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
▶	98.9%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
▶	98.2%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

68×	`lower-fma.f32`
64×	`lower-fma.f64`
46×	`lower-*.f64`
46×	`lower-*.f32`
40×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	20	65
1	38	65
2	54	65
3	78	65
4	80	65
5	84	65
6	89	65
0	89	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.7%)

Memory

3.9MiB live, 116.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	accuracy	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(+.f64 x (log.f64 x))
✓	accuracy	99.0%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	98.2%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Samples

29.0ms

256×

valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

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

ival-log: 7.0ms (37.2% of total)

ival-add: 3.0ms (15.9% of total)

ival-mult: 3.0ms (15.9% of total)

ival-div: 2.0ms (10.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series68.0ms (1%)

Memory

6.0MiB live, 137.5MiB allocated

Counts

7 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(log x)
20.0ms	x	@	-inf	(log x)
6.0ms	x	@	inf	(log x)
0.0ms	x	@	-inf	(+ (* x (+ (* x 1/2) 1)) (log x))
0.0ms	x	@	inf	(+ (* x (+ (* x 1/2) 1)) (log x))

simplify291.0ms (4.1%)

Memory

-14.3MiB live, 339.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 672×	`lower-fma.f64`
9 672×	`lower-fma.f32`
3 982×	`lower-*.f64`
3 982×	`lower-*.f32`
1 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	632
1	215	597
2	504	586
3	1978	563
4	6350	554
0	8292	516

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite373.0ms (5.2%)

Memory

22.7MiB live, 496.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 818×	`lower-fma.f32`
6 814×	`lower-fma.f64`
4 584×	`lower-*.f64`
4 584×	`lower-*.f32`
3 512×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	20	56
1	91	56
2	675	56
3	7825	56
0	8364	53

Stop Event

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

Counts

7 → 261

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
(+.f64 x (log.f64 x))
(+.f64 (log.f64 x) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
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(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

eval51.0ms (0.7%)

Memory: 0.4MiB live, 120.1MiB allocated
Compiler: Compiled 9 236 to 752 computations (91.9% saved)

prune38.0ms (0.5%)

Memory

-5.1MiB live, 115.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	383	2	385
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	383	6	389

Accuracy

100.0%

Counts

389 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	98.9%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.2%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.4%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
▶	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 45 to 25 computations (44.4% saved)

simplify27.0ms (0.4%)

Memory

-26.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

68×	`lower-fma.f32`
66×	`lower-fma.f64`
46×	`lower-*.f32`
42×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	103
0	22	103
1	42	99
2	51	99
3	78	99
4	80	99
5	84	99
6	89	99
0	89	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.8%)

Memory

34.3MiB live, 73.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
✓	accuracy	2.3%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	2.8%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))

Samples

40.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

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

ival-log: 19.0ms (58.8% of total)

ival-mult: 4.0ms (12.4% of total)

ival-add: 3.0ms (9.3% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-33.5MiB live, 20.1MiB allocated

Counts

7 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+ (* x (* x 1/2)) x)
0.0ms	x	@	0	(* x (* x 1/2))
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	x	@	inf	(* x (* x 1/2))
0.0ms	x	@	inf	(* x 1/2)

simplify353.0ms (5%)

Memory

17.7MiB live, 407.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 302×	`lower-fma.f64`
9 302×	`lower-fma.f32`
3 400×	`lower-*.f64`
3 400×	`lower-*.f32`
1 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	652
1	181	628
2	433	596
3	1195	586
4	4365	574
0	8265	527

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite393.0ms (5.5%)

Memory

37.0MiB live, 615.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 452×	`lower-fma.f32`
8 450×	`lower-fma.f64`
5 878×	`lower-*.f32`
5 874×	`lower-*.f64`
4 356×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	96
0	22	96
1	96	92
2	685	92
0	8459	86

Stop Event

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

Counts

7 → 166

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) x) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(neg.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) x))
(/.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) x) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) x) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
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(.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)))
(.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))
(.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) x)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64)) (.f64 (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)) x) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

eval41.0ms (0.6%)

Memory: -24.7MiB live, 91.9MiB allocated
Compiler: Compiled 5 124 to 445 computations (91.3% saved)

prune27.0ms (0.4%)

Memory

-7.1MiB live, 71.2MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	265	9	274

Accuracy

100.0%

Counts

274 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	98.9%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.2%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	2.4%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
▶	1.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))))
▶	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
▶	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 97 to 53 computations (45.4% saved)

simplify457.0ms (6.4%)

Memory

16.7MiB live, 430.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	320	(fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	1280	(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	1088	(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	1088	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))

Rules

7 788×	`lower-fma.f32`
7 784×	`lower-fma.f64`
5 480×	`lower-*.f32`
5 462×	`lower-*.f64`
1 978×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	319
0	53	280
1	101	280
2	181	280
3	517	257
4	1771	257
5	2689	257
6	4101	257
7	4420	257
8	4992	257
9	6040	257
0	8067	230

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.4%)

Memory

8.6MiB live, 164.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))))
✓	accuracy	30.7%	(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
✓	accuracy	2.3%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.8%	(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	2.8%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	2.8%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Samples

51.0ms

256×

valid

Compiler

Compiled 201 to 31 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 15.0ms (40.6% of total)

ival-div: 7.0ms (18.9% of total)

ival-log: 6.0ms (16.2% of total)

ival-add: 5.0ms (13.5% of total)

ival-sub: 3.0ms (8.1% of total)

exact: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

series8.0ms (0.1%)

Memory

-27.1MiB live, 10.8MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (* (+ (* x (* (* x x) 1/8)) 1) (* x (* x x))) (+ (* x x) (* (* x x) (* x (- (* x 1/4) 1/2)))))
1.0ms	x	@	inf	(/ (* (+ (* x (* (* x x) 1/8)) 1) (* x (* x x))) (+ (* x x) (* (* x x) (* x (- (* x 1/4) 1/2)))))
1.0ms	x	@	0	(/ (* (+ (* x (* (* x x) 1/8)) 1) (* x (* x x))) (+ (* x x) (* (* x x) (* x (- (* x 1/4) 1/2)))))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(- (* x 1/4) 1/2)

simplify256.0ms (3.6%)

Memory

7.1MiB live, 358.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 932×	`lower-fma.f64`
7 932×	`lower-fma.f32`
3 046×	`lower-*.f64`
3 046×	`lower-*.f32`
1 852×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1200
1	269	1164
2	652	1120
3	1887	1078
4	4707	1078
0	8245	1000

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 167

Calls

Call 1

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

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

rewrite557.0ms (7.8%)

Memory

18.9MiB live, 505.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 608×	`lower-fma.f32`
5 604×	`lower-fma.f64`
4 594×	`lower-/.f32`
4 586×	`lower-/.f64`
4 472×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	251
0	53	218
1	197	218
2	1343	212
0	8354	189

Stop Event

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

Counts

14 → 343

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal -1/2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(*.f64 x (/.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal -1/2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(*.f64 x (/.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x)))) (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x)))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))) (.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64))))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))))
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(fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

eval62.0ms (0.9%)

Memory: 10.4MiB live, 125.8MiB allocated
Compiler: Compiled 13 460 to 930 computations (93.1% saved)

prune173.0ms (2.4%)

Memory

-13.3MiB live, 107.8MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	504	6	510
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	505	14	519

Accuracy

100.0%

Counts

519 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	98.9%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.2%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	2.4%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
	3.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) #s(approx (+ ( x x) (* (* x x) (* x (- (* x 1/4) 1/2)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))
	1.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) #s(approx (+ ( x x) (* (* x x) (* x (- (* x 1/4) 1/2)))) (*.f64 x x)))))
✓	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))))
	1.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 x (.f64 x x)))))
✓	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 378 to 146 computations (61.4% saved)

regimes30.0ms (0.4%)

Memory

-11.5MiB live, 64.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Calls

5 calls:

7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
7.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
100.0%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
100.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
100.0%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes29.0ms (0.4%)

Memory

32.6MiB live, 67.9MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
5.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.2%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.2%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes28.0ms (0.4%)

Memory

-24.3MiB live, 59.7MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))

Calls

5 calls:

8.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
5.0ms	x
5.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
98.9%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.9%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes24.0ms (0.3%)

Memory

19.1MiB live, 58.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Calls

5 calls:

5.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	x
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.2%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.2%	1	`(/.f64 #s(literal 1 binary64) x)`
98.2%	1	`x`
98.2%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes33.0ms (0.5%)

Memory

-49.9MiB live, 53.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

15.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
5.9%	2	`x`
5.9%	2	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
5.9%	2	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
5.9%	2	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
5.9%	2	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes20.0ms (0.3%)

Memory

31.8MiB live, 31.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	x

Results

Accuracy	Segments	Branch
2.8%	1	`x`
2.8%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
2.8%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.8%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes76.0ms (1.1%)

Memory

-20.3MiB live, 18.8MiB allocated

Accuracy

Total -0.3b remaining (-0.5%)

Threshold costs -0.3b (-0.5%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

68.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
2.8%	1	`x`
2.8%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
2.8%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.8%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4602094885504465e+107	5.076491377743955e+109

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`neg-mul-1_binary64`
8×	`unsub-neg_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	190
1	73	190
2	78	190
3	84	190
4	91	190
5	100	190

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) #s(approx (+ ( x x) (* (* x x) (* x (- (* x 1/4) 1/2)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))))) #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) #s(approx (+ ( x x) (* (* x x) (* x (- (* x 1/4) 1/2)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))))))) #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

soundness1.8s (25.6%)

Memory

2.0MiB live, 711.5MiB allocated

Rules

9 672×	`lower-fma.f64`
9 672×	`lower-fma.f32`
8 452×	`lower-fma.f32`
8 450×	`lower-fma.f64`
7 932×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1200
1	269	1164
2	652	1120
3	1887	1078
4	4707	1078
0	8245	1000
0	19	96
0	22	96
1	96	92
2	685	92
0	8459	86
0	36	251
0	53	218
1	197	218
2	1343	212
0	8354	189
0	72	632
1	215	597
2	504	586
3	1978	563
4	6350	554
0	8292	516
0	75	313
1	190	292
2	397	290
3	962	280
4	1965	278
5	4210	278
6	5604	278
7	5777	278
8	5792	278
9	5792	278
10	5792	278
11	5967	278
12	5993	278
13	5993	278
0	5993	270

Stop Event

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

Compiler

Compiled 181 to 93 computations (48.6% saved)

preprocess59.0ms (0.8%)

Memory: -16.6MiB live, 141.4MiB allocated
Compiler: Compiled 190 to 78 computations (58.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

analyze2.0ms (0%)

sample664.0ms (9.3%)

preprocess18.0ms (0.3%)

explain124.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize27.0ms (0.4%)

series2.0ms (0%)

simplify323.0ms (4.5%)

rewrite316.0ms (4.4%)

eval61.0ms (0.9%)

prune50.0ms (0.7%)

simplify7.0ms (0.1%)

localize47.0ms (0.7%)

series68.0ms (1%)

simplify291.0ms (4.1%)

rewrite373.0ms (5.2%)

eval51.0ms (0.7%)

prune38.0ms (0.5%)

simplify27.0ms (0.4%)

localize57.0ms (0.8%)

series20.0ms (0.3%)

simplify353.0ms (5%)

rewrite393.0ms (5.5%)

eval41.0ms (0.6%)

prune27.0ms (0.4%)

simplify457.0ms (6.4%)

localize96.0ms (1.4%)

series8.0ms (0.1%)

simplify256.0ms (3.6%)

rewrite557.0ms (7.8%)

eval62.0ms (0.9%)

prune173.0ms (2.4%)

regimes30.0ms (0.4%)

regimes29.0ms (0.4%)

regimes28.0ms (0.4%)

regimes24.0ms (0.3%)

regimes33.0ms (0.5%)

regimes20.0ms (0.3%)

regimes76.0ms (1.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.8s (25.6%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7