Metrics for neg log

start4.0ms (0.1%)

Memory: -34.0MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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)

sample668.0ms (12.1%)

Memory

43.7MiB live, 838.0MiB allocated

Samples

440.0ms	8 256×	0	valid
1.0ms	22×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

ival-log: 128.0ms (43.3% of total)

ival-div: 67.0ms (22.7% of total)

ival-neg: 45.0ms (15.2% of total)

ival-sub: 43.0ms (14.6% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain89.0ms (1.6%)

Memory

-2.1MiB live, 122.3MiB 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 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 6.0ms (37.1% of total)

ival-div: 4.0ms (24.8% of total)

ival-sub: 2.0ms (12.4% of total)

ival-neg: 2.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB 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))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff	0	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff	0	(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))))
(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

localize19.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy	0.00390625	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Samples

13.0ms

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 (38.1% of total)

ival-div: 2.0ms (25.4% of total)

ival-sub: 1.0ms (12.7% of total)

ival-neg: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt (log x) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
1.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
0.0ms	x	@	inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

Time

Variable

Point

Expression

1.0ms

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

0.0ms

inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

simplify242.0ms (4.4%)

Memory

-27.7MiB live, 90.5MiB 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	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	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 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)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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))
(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))
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -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 -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
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

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

rewrite130.0ms (2.4%)

Memory

27.5MiB live, 133.8MiB allocated

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
#<batchref>
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eval122.0ms (2.2%)

Memory: -14.7MiB live, 93.3MiB allocated
Compiler: Compiled 7 945 to 1 337 computations (83.2% saved)

prune36.0ms (0.7%)

Memory

-13.5MiB live, 22.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	389	4	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	5	394

Accuracy

100.0%

Counts

394 → 5

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))))
▶	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
▶	99.5%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
▶	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
▶	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify9.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
cost-diff	0	(log.f64 x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
cost-diff	0	(log.f64 x)
cost-diff	0	(+.f64 (log.f64 x) x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
cost-diff	0	(log.f64 x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Rules

404×	`lower-fma.f32`
394×	`lower-fma.f64`
140×	`lower-+.f32`
138×	`lower-*.f64`
138×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	112
0	31	112
1	49	112
2	72	112
3	139	112
4	248	112
5	299	112
6	305	112
0	305	112

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

localize65.0ms (1.2%)

Memory

-11.4MiB live, 112.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
accuracy	0	(log.f64 x)
accuracy	0.00390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
accuracy	0.19219498817379527	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0	(log.f64 x)
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy	0.29669037955897837	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy	0	(log.f64 x)
accuracy	0.0078125	(+.f64 (log.f64 x) x)
accuracy	0.45609355227733883	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy	0	(log.f64 x)
accuracy	0.9359780893531566	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Samples

52.0ms

256×

valid

Compiler

Compiled 94 to 22 computations (76.6% saved)

Precisions

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

ival-add: 10.0ms (31.2% of total)

ival-mult: 7.0ms (21.9% of total)

ival-log: 6.0ms (18.7% of total)

const: 4.0ms (12.5% of total)

ival-div: 3.0ms (9.4% 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)

series74.0ms (1.3%)

Memory

-5.3MiB live, 107.5MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/3 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/3 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

31.0ms

-inf

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (+ (* (+ (* 1/3 x) 1/2) x) 1) (+ (* 1/3 x) 1/2))

28.0ms

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (+ (* (+ (* 1/3 x) 1/2) x) 1) (+ (* 1/3 x) 1/2))

11.0ms

inf

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (+ (* (+ (* 1/3 x) 1/2) x) 1) (+ (* 1/3 x) 1/2))

simplify207.0ms (3.8%)

Memory

5.6MiB live, 201.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 688×	`lower-fma.f64`
14 688×	`lower-fma.f32`
4 072×	`lower-*.f64`
4 072×	`lower-*.f32`
2 256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1015
1	318	967
2	882	945
3	3714	936
4	7731	926
0	8817	836

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

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

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

rewrite276.0ms (5%)

Memory

11.8MiB live, 300.6MiB allocated

Rules

11 320×	`lower-fma.f32`
11 310×	`lower-fma.f64`
5 258×	`lower-*.f64`
5 258×	`lower-*.f32`
3 392×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	31	97
1	136	97
2	1023	97
0	8725	93

Stop Event

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

Counts

11 → 347

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

Outputs
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eval125.0ms (2.3%)

Memory: -21.8MiB live, 133.2MiB allocated
Compiler: Compiled 10 472 to 1 425 computations (86.4% saved)

prune14.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	528	3	531
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	528	8	536

Accuracy

100.0%

Counts

536 → 8

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))))
✓	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.5%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
▶	99.5%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
✓	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 63 to 50 computations (20.6% saved)

simplify54.0ms (1%)

Memory

-29.7MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (log.f64 x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
cost-diff	128	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Rules

404×	`lower-fma.f32`
400×	`lower-fma.f64`
140×	`lower-+.f32`
138×	`lower-+.f64`
138×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	160
0	41	160
1	67	160
2	97	158
3	140	158
4	278	158
5	333	158
6	339	158
0	339	150

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize167.0ms (3%)

Memory

30.1MiB live, 105.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
accuracy	0.0078125	(+.f64 (log.f64 x) x)
accuracy	0.29669037955897837	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.01953125	(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)
accuracy	0.19219498817379527	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)))
accuracy	62.26931486982418	#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.29669037955897837	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	62.26931449731212	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Samples

153.0ms

256×

valid

Compiler

Compiled 102 to 26 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 74.0ms (52.1% of total)

ival-log: 52.0ms (36.6% of total)

ival-add: 7.0ms (4.9% of total)

const: 3.0ms (2.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.7%)

Memory

-9.3MiB live, 71.2MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))) x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log x))

10.0ms

-inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log x))

8.0ms

inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log x))

simplify186.0ms (3.4%)

Memory

9.9MiB live, 287.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 382×	`lower-fma.f64`
12 382×	`lower-fma.f32`
3 544×	`lower-*.f64`
3 544×	`lower-*.f32`
2 672×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1105
1	304	1059
2	840	1028
3	2940	1010
4	7453	994
0	8422	913

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

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

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

rewrite167.0ms (3%)

Memory

-5.4MiB live, 303.9MiB allocated

Rules

6 828×	`lower-fma.f32`
6 824×	`lower-fma.f64`
3 944×	`lower-/.f64`
3 944×	`lower-/.f32`
3 910×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	146
0	41	146
1	167	144
2	1262	144
0	8233	133

Stop Event

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

Counts

12 → 228

Calls

Call 1

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

Outputs
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eval74.0ms (1.3%)

Memory: 25.0MiB live, 101.2MiB allocated
Compiler: Compiled 7 307 to 1 074 computations (85.3% saved)

prune58.0ms (1.1%)

Memory

-49.1MiB live, 92.7MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	389	2	391
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	390	9	399

Accuracy

100.0%

Counts

399 → 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))))
✓	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.5%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.5%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
✓	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 71 to 57 computations (19.7% saved)

simplify11.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
cost-diff	0	(.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)))
cost-diff	0	#s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)))

Rules

404×	`lower-fma.f64`
404×	`lower-fma.f32`
162×	`lower-*.f32`
152×	`lower-*.f64`
140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	199
0	31	199
1	50	199
2	66	199
3	104	199
4	252	199
5	326	199
6	332	199
0	332	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)))
#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)

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

localize51.0ms (0.9%)

Memory

-13.0MiB live, 65.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (.f64 x x) #s(literal 1/3 binary64))
accuracy	0.19219498817379527	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)))
accuracy	59.60804374595216	#s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
accuracy	62.26931486982418	#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
accuracy	0.01953125	(.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)
accuracy	0.19219498817379527	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)))
accuracy	1.075599604812324	#s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
accuracy	62.26931486982418	#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))

Samples

40.0ms

256×

valid

Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 11.0ms (36.2% of total)

ival-log: 6.0ms (19.7% of total)

const: 5.0ms (16.4% of total)

ival-add: 3.0ms (9.9% of total)

ival-div: 2.0ms (6.6% of total)

ival-sub: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) (patch (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (patch #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/3 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/3 x))) (taylor 0 x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))) x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) x) (patch (.f64 #s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 #s(literal 1/2 binary64) x)) (patch #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))) x)) 1/3))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) (patch (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) (patch (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) (patch (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) (patch (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (patch #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (patch #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (patch #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (patch #s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/3 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/3 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/3 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/3 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (* (* x x) 1/3))

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (* (* x x) 1/3))

1.0ms

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (* (* (+ (* 1/3 x) 1/2) x) x) (* (+ (* 1/3 x) 1/2) x) (* (* x x) 1/3))

simplify105.0ms (1.9%)

Memory

9.8MiB live, 123.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 254×	`lower-fma.f64`
7 254×	`lower-fma.f32`
2 832×	`lower-*.f64`
2 832×	`lower-*.f32`
1 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	894
1	246	876
2	647	872
3	2233	838
4	6492	836
0	8159	762

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

rewrite173.0ms (3.1%)

Memory

-21.6MiB live, 169.2MiB allocated

Rules

7 120×	`lower-fma.f64`
7 120×	`lower-fma.f32`
5 016×	`lower-*.f32`
5 006×	`lower-*.f64`
3 754×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	189
0	31	189
1	109	189
2	683	189
0	8487	167

Stop Event

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

Counts

9 → 37

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (* (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)))
#s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (* (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/3 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval14.0ms (0.2%)

Memory: 34.6MiB live, 34.6MiB allocated
Compiler: Compiled 1 504 to 214 computations (85.8% saved)

prune32.0ms (0.6%)

Memory

-40.1MiB live, 45.3MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	144	10	154

Accuracy

100.0%

Counts

154 → 10

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))))
✓	99.7%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.5%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.5%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
✓	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)))
	2.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 172 to 110 computations (36% saved)

regimes22.0ms (0.4%)

Memory

4.6MiB live, 42.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

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 22 to 19 computations (13.6% saved)

regimes20.0ms (0.4%)

Memory

0.8MiB live, 38.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.5%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.5%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes34.0ms (0.6%)

Memory

-16.4MiB live, 36.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.5%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.5%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes15.0ms (0.3%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.3%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.3%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes16.0ms (0.3%)

Memory

-6.4MiB live, 31.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 #s(approx ( (+ (* 1/3 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* (+ (* 1/3 x) 1/2) x) 1) x) (log x)) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x) 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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
98.5%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.5%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes15.0ms (0.3%)

Memory

-0.8MiB live, 36.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(/.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	`(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)`
2.8%	1	`x`
2.8%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes11.0ms (0.2%)

Memory

-11.1MiB live, 25.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

4.0ms	(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	(/.f64 #s(literal 1 binary64) x)
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
2.7%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.7%	1	`(/.f64 #s(literal 1 binary64) x)`
2.7%	1	`x`
2.7%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify25.0ms (0.5%)

Memory

22.8MiB live, 68.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`
8×	`+-commutative-binary64-+.f64`
8×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	124
1	55	124
2	60	124
3	66	124
4	73	124
5	82	124

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

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

soundness2.0s (36.5%)

Memory

3.6MiB live, 700.7MiB allocated

Rules

14 688×	`lower-fma.f64`
14 688×	`lower-fma.f32`
12 382×	`lower-fma.f64`
12 382×	`lower-fma.f32`
11 320×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1105
1	304	1059
2	840	1028
3	2940	1010
4	7453	994
0	8422	913
0	100	1015
1	318	967
2	882	945
3	3714	936
4	7731	926
0	8817	836
0	26	189
0	31	189
1	109	189
2	683	189
0	8487	167
0	19	97
0	31	97
1	136	97
2	1023	97
0	8725	93
0	75	313
1	190	292
2	397	290
3	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	270

Stop Event

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

Compiler

Compiled 111 to 76 computations (31.5% saved)

preprocess105.0ms (1.9%)

Memory: -10.3MiB live, 66.5MiB allocated
Compiler: Compiled 116 to 66 computations (43.1% 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

start4.0ms (0.1%)

analyze2.0ms (0%)

sample668.0ms (12.1%)

explain89.0ms (1.6%)

preprocess15.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.3%)

series3.0ms (0.1%)

simplify242.0ms (4.4%)

rewrite130.0ms (2.4%)

eval122.0ms (2.2%)

prune36.0ms (0.7%)

simplify9.0ms (0.2%)

localize65.0ms (1.2%)

series74.0ms (1.3%)

simplify207.0ms (3.8%)

rewrite276.0ms (5%)

eval125.0ms (2.3%)

prune14.0ms (0.3%)

simplify54.0ms (1%)

localize167.0ms (3%)

series37.0ms (0.7%)

simplify186.0ms (3.4%)

rewrite167.0ms (3%)

eval74.0ms (1.3%)

prune58.0ms (1.1%)

simplify11.0ms (0.2%)

localize51.0ms (0.9%)

series7.0ms (0.1%)

simplify105.0ms (1.9%)

rewrite173.0ms (3.1%)

eval14.0ms (0.2%)

prune32.0ms (0.6%)

regimes22.0ms (0.4%)

regimes20.0ms (0.4%)

regimes34.0ms (0.6%)

regimes15.0ms (0.3%)

regimes16.0ms (0.3%)

regimes15.0ms (0.3%)

regimes11.0ms (0.2%)

simplify25.0ms (0.5%)

soundness2.0s (36.5%)

preprocess105.0ms (1.9%)

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