Metrics for Rust f64::atanh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample530.0ms (14.1%)

Memory

-13.3MiB live, 754.0MiB allocated

Samples

364.0ms	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-atanh: 76.0ms (89.5% of total)

ival-true: 6.0ms (7.1% of total)

ival-assert: 3.0ms (3.5% of total)

Bogosity

explain91.0ms (2.4%)

Memory

-13.8MiB live, 213.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
-	-	`(*.f64 #s(literal 2 binary64) x)`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #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

40.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

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

ival-mult: 6.0ms (30.5% of total)

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

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

ival-log1p: 3.0ms (15.3% of total)

exact: 1.0ms (5.1% of total)

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

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

preprocess25.0ms (0.7%)

Memory

6.0MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f32`
84×	`lower-*.f64`
76×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Outputs

(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

(*.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))

Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 10 to 9 computations (10% saved)

simplify12.0ms (0.3%)

Memory

-6.2MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f32`
84×	`lower-*.f64`
76×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

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

localize23.0ms (0.6%)

Memory

23.5MiB live, 62.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.01953125	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.03125	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Samples

16.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 3.0ms (36.5% of total)

ival-div: 2.0ms (24.3% of total)

ival-log1p: 2.0ms (24.3% of total)

ival-sub: 1.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-23.5MiB live, 15.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify236.0ms (6.3%)

Memory

-7.4MiB live, 239.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
3 522×	`lower-*.f64`
3 522×	`lower-*.f32`
2 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	799	382
3	2150	380
4	4030	380
5	6476	380
0	8265	358

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite163.0ms (4.4%)

Memory

5.1MiB live, 202.7MiB allocated

Rules

4 286×	`lower-fma.f64`
4 286×	`lower-fma.f32`
3 506×	`lower-*.f32`
3 502×	`lower-*.f64`
2 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	54	28
2	404	28
3	5595	28
0	8636	28

Stop Event

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

Counts

4 → 162

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)

Outputs
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eval32.0ms (0.9%)

Memory: -10.8MiB live, 70.8MiB allocated
Compiler: Compiled 4 261 to 820 computations (80.8% saved)

prune7.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	204	6	210

Accuracy

100.0%

Counts

210 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.4%	(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.7%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
▶	99.6%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
▶	99.0%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 164 to 121 computations (26.2% saved)

simplify187.0ms (5%)

Memory

-10.0MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff	0	(log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff	0	(-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))

Rules

9 050×	`lower-fma.f32`
9 034×	`lower-fma.f64`
2 524×	`lower-*.f32`
2 504×	`lower-*.f64`
1 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	414
0	76	414
1	126	414
2	199	414
3	371	414
4	738	414
5	1071	414
6	1192	414
7	1531	414
8	1956	414
9	2123	414
10	2997	414
11	5573	414
12	7599	414
0	8108	398

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -2 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/5 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(log.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -2 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)

localize146.0ms (3.9%)

Memory

22.9MiB live, 265.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
accuracy	0	(log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	0	(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
accuracy	0.00390625	(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	0.1830133544770922	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
accuracy	0.00390625	(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.18914455496670907	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
accuracy	0.19609956410735577	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
accuracy	0.00390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.17728765855679793	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))

Samples

106.0ms	255×	0	invalid
0.0ms	1×	0	valid

Compiler

Compiled 348 to 44 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 32.0ms (38.7% of total)

const: 25.0ms (30.2% of total)

ival-add: 10.0ms (12.1% of total)

ival-div: 5.0ms (6% of total)

ival-pow: 4.0ms (4.8% of total)

ival-log: 3.0ms (3.6% of total)

ival-sub: 2.0ms (2.4% of total)

ival-log1p: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series48.0ms (1.3%)

Memory

-16.4MiB live, 58.3MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) (patch (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #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 x (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (log -3) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -3) (* 2/3 (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #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 (- 1 (/ 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 (- 1 (/ 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 (- 1 (/ 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

26.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (- (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (log (+ (* (/ x (- 1 x)) 2) -1)))) (- (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (log (+ (* (/ x (- 1 x)) 2) -1))) (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (+ (* (pow (/ (- 1 x) x) -2) 4) -1) (* x x) (+ (* 2/5 (* x x)) 2/3) (log (+ (* (/ x (- 1 x)) 2) -1)) (- 1 x))

4.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (- (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (log (+ (* (/ x (- 1 x)) 2) -1)))) (- (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (log (+ (* (/ x (- 1 x)) 2) -1))) (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (+ (* (pow (/ (- 1 x) x) -2) 4) -1) (* x x) (+ (* 2/5 (* x x)) 2/3) (log (+ (* (/ x (- 1 x)) 2) -1)) (- 1 x))

3.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) (* 1/2 (- (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (log (+ (* (/ x (- 1 x)) 2) -1)))) (- (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (log (+ (* (/ x (- 1 x)) 2) -1))) (log (+ (* (pow (/ (- 1 x) x) -2) 4) -1)) (+ (* (pow (/ (- 1 x) x) -2) 4) -1) (* x x) (+ (* 2/5 (* x x)) 2/3) (log (+ (* (/ x (- 1 x)) 2) -1)) (- 1 x))

simplify165.0ms (4.4%)

Memory

44.5MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 780×	`lower-fma.f64`
13 780×	`lower-fma.f32`
4 416×	`lower-*.f64`
4 416×	`lower-*.f32`
4 006×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	2647
1	753	2595
2	1896	2577
3	5208	2566
0	8124	2407

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 271

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* -4 (pow x 2)))
(+ (log -1) (* (pow x 2) (- (* -8 x) 4)))
(+ (log -1) (* (pow x 2) (- (* x (- (* -20 x) 8)) 4)))
-1
(- (* 4 (pow x 2)) 1)
(- (* (pow x 2) (+ 4 (* 8 x))) 1)
(- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(log -1)
(+ (log -1) (* -2 x))
(+ (log -1) (* x (- (* -4 x) 2)))
(+ (log -1) (* x (- (* x (- (* -26/3 x) 4)) 2)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2 (- (log 3) (log -3)))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log 3) (log -3))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log -3))
(log 3)
(+ (log 3) (* 8/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (+ (* 8 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 12 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(log -3)
(+ (log -3) (* 2/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2 (- (log 3) (log -3)))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log 3) (log -3))))
(- (log 3) (log -3))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(- (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log -3))
(log 3)
(+ (log 3) (* 8/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(log -3)
(+ (log -3) (* 2/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* (pow x 2) (- (* -8 x) 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal -4 binary64)) x) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* (pow x 2) (- (* x (- (* -20 x) 8)) 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -20 binary64) x #s(literal -8 binary64)) x #s(literal -4 binary64)) x) x (log.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow x 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 4 (* 8 x))) 1)
(fma.f64 (fma.f64 #s(literal 8 binary64) x #s(literal 4 binary64)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 8 binary64)) x #s(literal 4 binary64)) (*.f64 x x) #s(literal -1 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)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* -2 x))
(fma.f64 #s(literal -2 binary64) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (- (* -4 x) 2)))
(fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (- (* x (- (* -26/3 x) 4)) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -26/3 binary64) x #s(literal -4 binary64)) x #s(literal -2 binary64)) x (log.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(* 2/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2/7 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/5 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 2/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/7 binary64))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64)))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal 2/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) #s(literal 2 binary64))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(* 2/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
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(.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/5 binary64)) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (- (log 3) (log -3)))
(*.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log 3) (log -3))))
(-.f64 (fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(- (log 3) (log -3))
(-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(-.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log -3))
(-.f64 (+.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 8/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (/.f64 #s(literal 8/3 binary64) x)) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 80/81 binary64) x) #s(literal 4/9 binary64)) x)) x))
3
#s(literal 3 binary64)
(+ 3 (* 8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 3 binary64))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) x))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal 12 binary64)) x)) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2/5 (pow x 2))
(.f64 #s(literal 2/5 binary64) (.f64 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(log -3)
(log.f64 #s(literal -3 binary64))
(+ (log -3) (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) (log.f64 #s(literal -3 binary64)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))) (log.f64 #s(literal -3 binary64)))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f64 (log.f64 #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26/81 binary64) x) #s(literal 4/9 binary64)) x)) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite252.0ms (6.7%)

Memory

15.1MiB live, 428.1MiB allocated

Rules

5 348×	`lower-fma.f32`
5 332×	`lower-fma.f64`
4 656×	`lower-*.f32`
4 636×	`lower-*.f64`
4 394×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	341
0	76	339
1	280	319
2	1945	319
0	8906	299

Stop Event

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

Counts

23 → 402

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)

Outputs
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eval193.0ms (5.1%)

Memory: 0.0MiB live, 310.4MiB allocated
Compiler: Compiled 21 964 to 2 938 computations (86.6% saved)

prune97.0ms (2.6%)

Memory

17.4MiB live, 55.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	830	3	833
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	832	7	839

Accuracy

100.0%

Counts

839 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.4%	(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	99.7%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
✓	99.0%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 104 to 74 computations (28.8% saved)

simplify122.0ms (3.3%)

Memory

-48.4MiB live, 113.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
cost-diff	512	(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff	0	(.f64 #s(literal 2/3 binary64) (.f64 x x))
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
cost-diff	320	(fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))

Rules

8 054×	`lower-fma.f32`
8 042×	`lower-fma.f64`
2 872×	`lower-*.f32`
2 854×	`lower-*.f64`
1 154×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	321
0	62	321
1	106	318
2	182	318
3	321	318
4	622	318
5	1190	318
6	1882	318
7	4204	318
8	7271	318
0	8076	303

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))
(*.f64 x x)
x
#s(literal 2/7 binary64)
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))
#s(literal 2 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(*.f64 x x)
x
#s(literal 2/7 binary64)
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x))
(fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) x)
(.f64 #s(literal 2/3 binary64) (.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) (/.f64 x (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (/.f64 x (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) (/.f64 x (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) x) (/.f64 x (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
#s(literal 4 binary64)
#s(literal -1 binary64)
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))
#s(literal 2 binary64)

localize136.0ms (3.6%)

Memory

15.6MiB live, 174.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
accuracy	0	(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
accuracy	0	(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0	(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
accuracy	0.00390625	(.f64 #s(literal 2/3 binary64) (.f64 x x))
accuracy	0.18914455496670907	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
accuracy	0.00390625	(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
accuracy	0.17728765855679793	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))

Samples

113.0ms	255×	0	invalid
0.0ms	1×	0	valid

Compiler

Compiled 283 to 39 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 41.0ms (44.2% of total)

ival-log1p: 16.0ms (17.3% of total)

ival-sub: 14.0ms (15.1% of total)

const: 9.0ms (9.7% of total)

ival-add: 6.0ms (6.5% of total)

ival-div: 3.0ms (3.2% of total)

ival-log: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series16.0ms (0.4%)

Memory

5.7MiB live, 42.2MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) (patch (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 2/3 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) (patch (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (patch (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) (patch (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) (patch (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) (patch (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) (patch (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64))))) (patch (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (.f64 x #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 2/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 2/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 2/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 2/3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 1) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 4 (* 8 x))) 1) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (log 3) (* 2 (/ 1 x))) (log -3)) (taylor -inf x) (#s(alt (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) (patch (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3)) (taylor -inf x) (#s(alt (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) (patch (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log -3)) (taylor -inf x) (#s(alt (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) (patch (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log 3) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log 3) (* 8/3 (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x)))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (log -3) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -3) (* 2/3 (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x)))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x))) (taylor -inf x) (#s(alt (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -4 (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (patch (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 4 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (patch (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (patch (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2)))) x)) 4) (taylor -inf x) (#s(alt (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (patch (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) 2) x) (+ (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) 2) (+ (* (* 2/3 (* x x)) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2/3 (* x x)) (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1) (* 1/2 (- (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (log (+ (* (/ x (- 1 x)) 2) -1)))) (- (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (log (+ (* (/ x (- 1 x)) 2) -1))) (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (* x x) (* x 2) (log (+ (* (/ x (- 1 x)) 2) -1)) (* (/ x (- 1 x)) 4))

2.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) 2) x) (+ (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) 2) (+ (* (* 2/3 (* x x)) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2/3 (* x x)) (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1) (* 1/2 (- (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (log (+ (* (/ x (- 1 x)) 2) -1)))) (- (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (log (+ (* (/ x (- 1 x)) 2) -1))) (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (* x x) (* x 2) (log (+ (* (/ x (- 1 x)) 2) -1)) (* (/ x (- 1 x)) 4))

2.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) 2) x) (+ (* (* (+ (* (+ (* (* x x) 2/7) 2/5) (* x x)) 2/3) x) x) 2) (+ (* (* 2/3 (* x x)) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2/3 (* x x)) (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1) (* 1/2 (- (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (log (+ (* (/ x (- 1 x)) 2) -1)))) (- (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (log (+ (* (/ x (- 1 x)) 2) -1))) (log (+ (* (/ x (- 1 x)) (* (/ x (- 1 x)) 4)) -1)) (* x x) (* x 2) (log (+ (* (/ x (- 1 x)) 2) -1)) (* (/ x (- 1 x)) 4))

simplify158.0ms (4.2%)

Memory

-21.3MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 428×	`lower-fma.f64`
15 428×	`lower-fma.f32`
4 602×	`lower-*.f64`
4 602×	`lower-*.f32`
4 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1808
1	741	1776
2	1849	1759
3	4991	1746
0	8211	1647

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
-1
(- (* 4 (pow x 2)) 1)
(- (* (pow x 2) (+ 4 (* 8 x))) 1)
(- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* -4 (pow x 2)))
(+ (log -1) (* (pow x 2) (- (* -8 x) 4)))
(+ (log -1) (* (pow x 2) (- (* x (- (* -20 x) 8)) 4)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(log -1)
(+ (log -1) (* -2 x))
(+ (log -1) (* x (- (* -4 x) 2)))
(+ (log -1) (* x (- (* x (- (* -26/3 x) 4)) 2)))
(* 4 x)
(* x (+ 4 (* 4 x)))
(* x (+ 4 (* x (+ 4 (* 4 x)))))
(* x (+ 4 (* x (+ 4 (* x (+ 4 (* 4 x)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (+ (* 8 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 12 (pow x 2)))))
(* 1/2 (- (log 3) (log -3)))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (log 3) (log -3))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log -3))
(log 3)
(+ (log 3) (* 8/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(log -3)
(+ (log -3) (* 2/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
-4
(* -1 (+ 4 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 4 (* 4 (/ 1 x))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(* 2/7 (pow x 6))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
3
(+ 3 (* 8 (/ 1 x)))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(* 1/2 (- (log 3) (log -3)))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log 3) (log -3))))
(- (log 3) (log -3))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(- (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log -3))
(log 3)
(+ (log 3) (* 8/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(log -3)
(+ (log -3) (* 2/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
-4
(* -1 (+ 4 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 4 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2)))) x)) 4)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 2/3 (pow x 2)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
-1
#s(literal -1 binary64)
(- (* 4 (pow x 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 4 (* 8 x))) 1)
(fma.f64 (fma.f64 #s(literal 8 binary64) x #s(literal 4 binary64)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 4 (* x (+ 8 (* 12 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 8 binary64)) x #s(literal 4 binary64)) (*.f64 x x) #s(literal -1 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* (pow x 2) (- (* -8 x) 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal -4 binary64)) x) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* (pow x 2) (- (* x (- (* -20 x) 8)) 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -20 binary64) x #s(literal -8 binary64)) x #s(literal -4 binary64)) x) x (log.f64 #s(literal -1 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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* -2 x))
(fma.f64 #s(literal -2 binary64) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (- (* -4 x) 2)))
(fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (- (* x (- (* -26/3 x) 4)) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -26/3 binary64) x #s(literal -4 binary64)) x #s(literal -2 binary64)) x (log.f64 #s(literal -1 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 x)))
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) x)
(* x (+ 4 (* x (+ 4 (* 4 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) x #s(literal 4 binary64)) x)
(* x (+ 4 (* x (+ 4 (* x (+ 4 (* 4 x)))))))
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) (+.f64 x (pow.f64 x #s(literal 3 binary64))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(* 2/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2/7 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/5 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 2/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/7 binary64))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64)))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64))) #s(literal 2 binary64))
(* 2/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
3
#s(literal 3 binary64)
(+ 3 (* 8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 3 binary64))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) x))
(+ 3 (+ (* 8 (/ 1 x)) (+ (* 16 (/ 1 (pow x 3))) (/ 12 (pow x 2)))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) x)))
(* 1/2 (- (log 3) (log -3)))
(*.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(- (log 3) (log -3))
(-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(-.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log -3))
(-.f64 (+.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) (log.f64 #s(literal -3 binary64)))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 8/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (/.f64 #s(literal 8/3 binary64) x)) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 80/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 8/3 binary64) x)) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))) (log.f64 #s(literal 3 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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(log -3)
(log.f64 #s(literal -3 binary64))
(+ (log -3) (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) (log.f64 #s(literal -3 binary64)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))) (log.f64 #s(literal -3 binary64)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 26/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2/3 binary64) x)) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))) (log.f64 #s(literal -3 binary64)))
-4
#s(literal -4 binary64)
(* -1 (+ 4 (* 4 (/ 1 x))))
(-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4)
(-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) x))
(- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 4 (* 4 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) x) x)))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(* 2/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 2/5 binary64)) x) x) #s(literal -2/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 2/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/7 binary64))
(* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64)))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/7 binary64))))
(* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/7 binary64))) #s(literal 2 binary64))
(* 2/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* 2/3 (pow x 2))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
3
#s(literal 3 binary64)
(+ 3 (* 8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 3 binary64))
(+ 3 (+ (* 8 (/ 1 x)) (/ 12 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) x))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) x)) 8) x)))
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) x)) x) #s(literal 8 binary64)) x))
(* 1/2 (- (log 3) (log -3)))
(*.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (log 3) (log -3))) (/ 1 x))
(fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (- (log 3) (log -3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log 3) (log -3))))
(-.f64 (fma.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(- (log 3) (log -3))
(-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (* 2 (/ 1 x))) (log -3))
(-.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log -3))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -3 binary64)))
(- (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log -3))
(-.f64 (-.f64 (-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -3 binary64)))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 8/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (/.f64 #s(literal 8/3 binary64) x)) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 80/81 binary64) x) #s(literal 4/9 binary64)) x)) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(log -3)
(log.f64 #s(literal -3 binary64))
(+ (log -3) (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) (log.f64 #s(literal -3 binary64)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))) (log.f64 #s(literal -3 binary64)))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f64 (log.f64 #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26/81 binary64) x) #s(literal 4/9 binary64)) x)) x))
-4
#s(literal -4 binary64)
(* -1 (+ 4 (* 4 (/ 1 x))))
(-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4)
(-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) x))
(- (* -1 (/ (+ 4 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2)))) x)) 4)
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) x)) x) #s(literal 4 binary64))

rewrite194.0ms (5.2%)

Memory

1.2MiB live, 240.4MiB allocated

Rules

4 614×	`lower-/.f32`
4 612×	`lower-/.f64`
4 294×	`lower-*.f32`
4 276×	`lower-*.f64`
3 558×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	256
0	62	254
1	237	217
2	1712	217
0	8154	200

Stop Event

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

Counts

16 → 273

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64))))
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))
(log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))

Outputs
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eval64.0ms (1.7%)

Memory: 28.2MiB live, 141.6MiB allocated
Compiler: Compiled 14 112 to 1 826 computations (87.1% saved)

prune17.0ms (0.5%)

Memory

-23.0MiB live, 51.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	506	0	506
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	506	7	513

Accuracy

100.0%

Counts

513 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.4%	(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
✓	99.7%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
✓	99.5%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
✓	99.0%	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 252 to 133 computations (47.2% saved)

regimes17.0ms (0.5%)

Memory

9.8MiB live, 44.6MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (log.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal -1 binary64)))))

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Calls

4 calls:

7.0ms	x
3.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes17.0ms (0.5%)

Memory

-9.9MiB live, 32.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))

Outputs

(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))

Calls

4 calls:

9.0ms	x
3.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.7%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.7%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes8.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) x (*.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Outputs

(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Calls

4 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.6%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes10.0ms (0.3%)

Memory

-9.6MiB live, 28.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

4.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.5%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes8.0ms (0.2%)

Memory

-14.0MiB live, 24.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
1.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify30.0ms (0.8%)

Memory

-6.1MiB live, 76.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	104
1	51	104
2	55	104
3	57	104
4	58	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (log1p.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))

soundness683.0ms (18.2%)

Memory

-13.6MiB live, 363.5MiB allocated

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
5 348×	`lower-fma.f32`
5 332×	`lower-fma.f64`
4 656×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	799	382
3	2150	380
4	4030	380
5	6476	380
0	8265	358
0	44	341
0	76	339
1	280	319
2	1945	319
0	8906	299

Stop Event

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

Compiler

Compiled 135 to 79 computations (41.5% saved)

preprocess56.0ms (1.5%)

Memory: 21.6MiB live, 60.2MiB allocated
Compiler: Compiled 148 to 80 computations (45.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

start0.0ms (0%)

analyze2.0ms (0%)

sample530.0ms (14.1%)

explain91.0ms (2.4%)

preprocess25.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize23.0ms (0.6%)

series7.0ms (0.2%)

simplify236.0ms (6.3%)

rewrite163.0ms (4.4%)

eval32.0ms (0.9%)

prune7.0ms (0.2%)

simplify187.0ms (5%)

localize146.0ms (3.9%)

series48.0ms (1.3%)

simplify165.0ms (4.4%)

rewrite252.0ms (6.7%)

eval193.0ms (5.1%)

prune97.0ms (2.6%)

simplify122.0ms (3.3%)

localize136.0ms (3.6%)

series16.0ms (0.4%)

simplify158.0ms (4.2%)

rewrite194.0ms (5.2%)

eval64.0ms (1.7%)

prune17.0ms (0.5%)

regimes17.0ms (0.5%)

regimes17.0ms (0.5%)

regimes8.0ms (0.2%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

simplify30.0ms (0.8%)

soundness683.0ms (18.2%)

preprocess56.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35