Metrics for ln(1 + x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample389.0ms (5%)

Memory

28.1MiB live, 482.7MiB allocated

Samples

231.0ms	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-log1p: 73.0ms (89.7% of total)

ival-true: 5.0ms (6.1% of total)

ival-assert: 3.0ms (3.7% of total)

Bogosity

explain48.0ms (0.6%)

Memory

25.3MiB live, 68.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
181	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	181	0

Confusion

	Predicted +	Predicted -
+	181	0
-	0	75

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	181	0	0
-	0	0	75

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	75
1	181

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

Precisions

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

ival-log1p: 4.0ms (49.6% of total)

ival-add: 3.0ms (37.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.2%)

Memory

-18.5MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`sub-neg`
12×	`+-commutative`
8×	`associate--r+`
8×	`associate-+l-`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	15	9
2	22	9
3	30	9
4	40	9
5	53	9
6	66	9
7	69	9
0	4	4
0	6	4
1	9	4
0	9	2

Stop Event

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

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-+.f32`
2×	`lower-log1p.f32`
2×	`lift-+.f64`
2×	`lower-+.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	9	9
0	9	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize17.0ms (0.2%)

Memory

-13.0MiB live, 23.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	42.219934359852665	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

12.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-log1p: 3.0ms (66.3% of total)

ival-add: 1.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 24

Calls

Call 1

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

Inputs

#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<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 (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 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 (* 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 (* 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 x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 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 (* 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 (* 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

6 calls:

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

simplify494.0ms (6.4%)

Memory

4.5MiB live, 285.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
2 868×	`lower-+.f64`
2 868×	`lower-+.f32`
2 630×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	169
1	171	155
2	363	150
3	980	148
4	2419	144
5	4413	144
6	5329	144
7	6636	144
8	7416	144
9	7564	144
10	7608	144
11	7610	144
12	7610	144
13	7853	144
14	7970	144
15	7978	144
16	7986	144
17	7986	144
0	8425	138

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 21

Calls

Call 1

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

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

rewrite262.0ms (3.4%)

Memory

-7.4MiB live, 340.9MiB allocated

Rules

6 606×	`lower-fma.f64`
6 606×	`lower-fma.f32`
4 022×	`lower-/.f64`
4 022×	`lower-/.f32`
3 648×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5

Stop Event

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

Counts

2 → 344

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)

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

eval140.0ms (1.8%)

Memory: 1.5MiB live, 128.7MiB allocated
Compiler: Compiled 11 150 to 1 116 computations (90% saved)

prune72.0ms (0.9%)

Memory

4.9MiB live, 131.8MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	361	4	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	361	5	366

Accuracy

100.0%

Counts

366 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
✓	34.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))
▶	71.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	72.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	70.9%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Compiler

Compiled 41 to 24 computations (41.5% saved)

simplify210.0ms (2.7%)

Memory

-2.8MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log1p.f64 x)
cost-diff	0	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Rules

1 072×	`lower-fma.f32`
1 060×	`lower-fma.f64`
340×	`lower-*.f32`
336×	`lower-*.f64`
232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
0	33	99
1	59	99
2	98	99
3	186	99
4	396	99
5	471	99
6	600	99
7	601	99
0	601	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (1.3%)

Memory

7.3MiB live, 125.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(log1p.f64 x)
accuracy	0.0078125	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
accuracy	0.01171875	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
accuracy	0.05535126953688403	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
accuracy	18.561953331998073	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
accuracy	0	(*.f64 x x)
accuracy	0.04296875	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
accuracy	0.09500753162065376	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
accuracy	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	18.648703270186765	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Samples

42.0ms

256×

valid

Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions

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

ival-mult: 13.0ms (46.7% of total)

ival-add: 7.0ms (25.1% of total)

ival-log1p: 4.0ms (14.4% of total)

const: 4.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-14.2MiB live, 23.9MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) 1/2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) 1/2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) 1/2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (patch (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 x) 1/2) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1/3 (* -1/4 x))) 1/2) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1/3 (* -1/4 x))) 1/2) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1/4 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1/4 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1/4 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/3 (/ 1 x)) 1/4)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/3 (/ 1 x)) 1/4)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/3 (/ 1 x)) 1/4)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (* (+ (* x 1/3) -1/2) (* x x)) x)
0.0ms	x	@	0	(+ (* x (* x -1/2)) x)
0.0ms	x	@	inf	(+ (* x (* x -1/2)) x)
0.0ms	x	@	inf	(* x -1/2)
0.0ms	x	@	-inf	(* x -1/2)

simplify446.0ms (5.7%)

Memory

14.7MiB live, 241.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 064×	`lower-fma.f64`
9 064×	`lower-fma.f32`
2 638×	`lower-*.f64`
2 638×	`lower-*.f32`
1 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1130
1	297	1070
2	773	1046
3	2466	1030
4	6230	1014
0	8098	927

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 137

Calls

Call 1

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

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

rewrite784.0ms (10.1%)

Memory

2.2MiB live, 528.1MiB allocated

Rules

6 642×	`lower-fma.f32`
6 630×	`lower-fma.f64`
4 832×	`lower-*.f32`
4 828×	`lower-*.f64`
4 352×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	33	86
1	141	86
2	1034	86
0	8339	86

Stop Event

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

Counts

12 → 325

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(+.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 x (neg.f64 x)) x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (neg.f64 (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
(+.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
(+.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)) x)
(+.f64 (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))) (/.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (-.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) x)
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(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 x #s(literal 1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/262144 binary64) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728 binary64)))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4096 binary64) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4096 binary64) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x)))) (.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)))) (+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x)))) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(log1p.f64 x)

eval71.0ms (0.9%)

Memory: 10.4MiB live, 161.9MiB allocated
Compiler: Compiled 13 656 to 1 185 computations (91.3% saved)

prune92.0ms (1.2%)

Memory

20.8MiB live, 216.3MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	468	14	482
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	468	19	487

Accuracy

100.0%

Counts

487 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	34.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	71.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	72.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
	71.6%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x))
▶	72.0%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
	71.6%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x))
	71.3%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
▶	71.6%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
▶	72.0%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
	72.0%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
	70.5%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
✓	70.9%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	71.8%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))))
	70.9%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
	37.7%	#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
▶	5.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
	5.6%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
▶	4.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 621 to 322 computations (48.1% saved)

simplify62.0ms (0.8%)

Memory

-26.6MiB live, 52.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
cost-diff	320	(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))
cost-diff	448	(+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))

Rules

1 388×	`lower-fma.f32`
1 374×	`lower-fma.f64`
1 100×	`lower-*.f32`
1 082×	`lower-*.f64`
578×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	382
0	74	378
1	135	360
2	249	355
3	568	355
4	1364	355
5	1621	355
6	1728	355
7	1789	355
8	1824	355
9	1873	355
10	1900	355
11	1900	355
12	1900	355
13	1995	355
14	1998	355
0	1998	331

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
x
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/27 binary64)
#s(literal -1/8 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64))
#s(literal 1/9 binary64)
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
x
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
#s(literal -1/4 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))) x))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x)
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/27 binary64)
#s(literal -1/8 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))
#s(literal 1/9 binary64)
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

localize177.0ms (2.3%)

Memory

31.6MiB live, 232.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	0.265625	(*.f64 x #s(literal 1/6 binary64))
accuracy	9.946673257345138	(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
accuracy	0.04296875	(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)
accuracy	0.0859375	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
accuracy	7.080073309762316	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
accuracy	0.046875	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
accuracy	0.09500753162065376	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
accuracy	43.5141074024065	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
accuracy	0	(.f64 x (.f64 x #s(literal -1/2 binary64)))
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	18.648703270186765	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
accuracy	44.005688452713564	#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
accuracy	0.0859375	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
accuracy	7.064448309762316	(.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))

Samples

127.0ms

256×

valid

Compiler

Compiled 300 to 44 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 72.0ms (68.2% of total)

ival-add: 14.0ms (13.3% of total)

const: 11.0ms (10.4% of total)

ival-div: 5.0ms (4.7% of total)

ival-log1p: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series38.0ms (0.5%)

Memory

4.4MiB live, 41.5MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x) (patch (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))) (patch #s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (patch #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal -1/2 binary64))) (patch (.f64 x (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (patch #s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (patch #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (patch (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x) (patch (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
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#s(alt (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (patch (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x) (patch (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 x) 1/2) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 x) 1/2) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 x) 1/2) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/3 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/3 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/3 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(* (+ (* (* x x) 1/9) -1/4) (/ 1 (+ (* x 1/3) 1/2)))
1.0ms	x	@	-inf	(+ (* (* (+ (* (* x x) 1/9) -1/4) (/ 1 (+ (* x 1/3) 1/2))) (* x x)) x)
1.0ms	x	@	inf	(* (+ (* (* x (* x x)) 1/27) -1/8) (/ 1 (+ (+ (* (* x x) 1/9) 1/4) (* x 1/6))))
0.0ms	x	@	inf	(+ (* (* (+ (* (* x (* x x)) 1/27) -1/8) (/ 1 (+ (+ (* (* x x) 1/9) 1/4) (* x 1/6)))) (* x x)) x)
0.0ms	x	@	0	(* (+ (* (* x (* x x)) 1/27) -1/8) (/ 1 (+ (+ (* (* x x) 1/9) 1/4) (* x 1/6))))

simplify270.0ms (3.5%)

Memory

-12.4MiB live, 428.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 878×	`lower-fma.f64`
9 878×	`lower-fma.f32`
2 846×	`lower-*.f64`
2 846×	`lower-*.f32`
2 834×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	2051
1	455	1973
2	1081	1944
3	3107	1930
4	7786	1930
0	8251	1738

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 278

Calls

Call 1

Inputs
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1/4
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
1/4
(+ 1/4 (* 1/6 x))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
2
(+ 2 (* -4/3 x))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(/ 3 x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/ 3 x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))
1/2
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
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(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
2
#s(literal 2 binary64)
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(fma.f64 x (fma.f64 x #s(literal 8/9 binary64) #s(literal -4/3 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -16/27 binary64) #s(literal 8/9 binary64)) #s(literal -4/3 binary64)) #s(literal 2 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9/2 binary64) x)) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) x) #s(literal -9/2 binary64)) x)) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 27/4 binary64) (/.f64 #s(literal -81/8 binary64) x)) x) #s(literal -9/2 binary64)) x)) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -9/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/4 binary64) x) #s(literal -9/2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 27/4 binary64) (/.f64 #s(literal -81/8 binary64) x)) x) #s(literal -9/2 binary64)) x)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

rewrite579.0ms (7.5%)

Memory

-22.1MiB live, 500.5MiB allocated

Rules

6 148×	`lower-fma.f32`
6 134×	`lower-fma.f64`
4 202×	`lower-*.f32`
4 184×	`lower-*.f64`
4 062×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	314
0	74	301
1	287	250
2	2139	250
0	8500	234

Stop Event

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

Counts

24 → 910

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x)
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(.f64 x (.f64 x x))

Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/9 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/9 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64)))))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64)))))
(.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) x)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) x)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal 1/64 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/6 binary64) x)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))))
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

eval251.0ms (3.2%)

Memory: 29.3MiB live, 449.7MiB allocated
Compiler: Compiled 41 687 to 2 757 computations (93.4% saved)

prune370.0ms (4.8%)

Memory

39.1MiB live, 528.6MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 323	8	1 331
Fresh	7	2	9
Picked	4	1	5
Done	0	5	5
Total	1 334	16	1 350

Accuracy

100.0%

Counts

1 350 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	34.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	71.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	72.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	72.2%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
	71.8%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) #s(approx (/ 1 (+ (* x 1/3) 1/2)) #s(literal 2 binary64))) (*.f64 x x) x))
▶	70.5%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
✓	70.9%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	70.9%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
▶	5.6%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
	5.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
✓	5.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
	5.6%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
▶	5.6%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
▶	4.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))

Compiler

Compiled 294 to 152 computations (48.3% saved)

simplify35.0ms (0.5%)

Memory

-20.4MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
cost-diff	0	(fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
cost-diff	0	#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
cost-diff	0	(.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))
cost-diff	0	#s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
cost-diff	0	#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))

Rules

876×	`lower-fma.f32`
868×	`lower-fma.f64`
712×	`lower-*.f32`
698×	`lower-*.f64`
372×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	408
0	66	400
1	125	400
2	190	400
3	239	400
4	307	400
5	395	400
6	672	400
7	830	400
8	915	400
9	922	400
10	922	400
11	922	400
0	922	364

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
(fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
(/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
x
#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
(fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x)
#s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
x
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (*.f64 x (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) x))
(fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
(fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (*.f64 x (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) x)
(/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 x (.f64 x #s(literal -1/2 binary64))))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
(.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
x
#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
#s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
#s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
#s(literal 1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) x))
(fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x)
(fma.f64 (.f64 x x) #s(approx (+ ( x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) x)
#s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
x
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)

localize151.0ms (1.9%)

Memory

17.7MiB live, 196.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05535126953688403	(fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x)
accuracy	0.1875	(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
accuracy	18.561953331998073	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
accuracy	44.349456438928854	#s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	0.1328125	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
accuracy	43.838681466782184	#s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
accuracy	0.22265625	(.f64 #s(literal 1/3 binary64) (.f64 x x))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
accuracy	43.5141074024065	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
accuracy	43.952531817747136	#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
accuracy	0.00390625	(.f64 #s(literal -1/2 binary64) (.f64 x x))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
accuracy	19.032999118244646	#s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
accuracy	43.5141074024065	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
accuracy	0.0859375	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
accuracy	7.080073309762316	(/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
accuracy	17.918472054561065	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
accuracy	18.699810384562944	#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))

Samples

61.0ms

256×

valid

Compiler

Compiled 218 to 32 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 22.0ms (52.1% of total)

ival-add: 9.0ms (21.3% of total)

const: 6.0ms (14.2% of total)

ival-log1p: 3.0ms (7.1% of total)

ival-div: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-17.8MiB live, 24.3MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x) (patch (fma.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (patch #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (patch #s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (patch #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (patch #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) (.f64 x x)) (patch (.f64 #s(literal -1/2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))) (patch #s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) (patch #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (patch (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) (patch #s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))) (patch #s(approx (log (+ 1 x)) #s(approx (+ ( (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (patch #s(approx (+ ( (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x) (patch (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (patch #s(approx (+ ( x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (patch (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/3 binary64) (.f64 x x)) #<representation binary64>) () ())

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

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* x (* x (+ (* x 1/3) -1/2)))
0.0ms	x	@	-inf	(* 1/3 (* x (* x x)))
0.0ms	x	@	inf	(* 1/3 (* x (* x x)))
0.0ms	x	@	-inf	(* x (+ (* x -1/4) 1/3))
0.0ms	x	@	inf	(* 1/3 (* x x))

simplify209.0ms (2.7%)

Memory

6.5MiB live, 275.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 942×	`lower-fma.f64`
9 942×	`lower-fma.f32`
2 798×	`lower-*.f64`
2 798×	`lower-*.f32`
1 898×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	2081
1	315	2011
2	795	1978
3	2454	1942
4	6132	1922
0	8138	1748

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 254

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
-1/4
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1/2
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))

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

rewrite498.0ms (6.4%)

Memory

-7.4MiB live, 471.7MiB allocated

Rules

6 002×	`lower-fma.f32`
5 994×	`lower-fma.f64`
4 608×	`lower-/.f32`
4 606×	`lower-/.f64`
3 848×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	376
0	66	368
1	250	354
2	1780	354
0	8509	318

Stop Event

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

Counts

22 → 311

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
(fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
(/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
(fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x)
#s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 x x))

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
(+.f64 x (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(+.f64 (/.f64 (/.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x)))) (/.f64 (/.f64 (.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (-.f64 x (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))
(fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x)) x)
(fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 x x) (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (/.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) x)
(fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x)
(fma.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (neg.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (.f64 (.f64 x x) (neg.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (.f64 (neg.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 x #s(literal 1/6 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) #s(literal -1/64 binary64)) (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(.f64 (.f64 x #s(literal 1/3 binary64)) x)

eval102.0ms (1.3%)

Memory: 17.6MiB live, 98.2MiB allocated
Compiler: Compiled 12 729 to 1 068 computations (91.6% saved)

prune188.0ms (2.4%)

Memory

6.6MiB live, 165.2MiB allocated

Pruning

37 alts after pruning (27 fresh and 10 done)

	Pruned	Kept	Total
New	542	23	565
Fresh	1	4	5
Picked	1	4	5
Done	0	6	6
Total	544	37	581

Accuracy

100.0%

Counts

581 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	34.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	71.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	72.0%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
	71.9%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))))) x))
	72.6%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
	72.2%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (*.f64 x x) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (*.f64 x x) x))
	72.2%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (.f64 x x) x))
	71.9%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))))) (.f64 x x) x))
	72.2%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x x) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))))) (.f64 x x) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))) (.f64 x x) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (*.f64 x x) x))
	42.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) #s(approx (+ (* x 1/3) 1/2) (.f64 x #s(literal 1/3 binary64)))) (.f64 x x) x))
	71.8%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) #s(approx (/ 1 (+ (* x 1/3) 1/2)) #s(literal 2 binary64))) (*.f64 x x) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))) (*.f64 x x) x))
	72.1%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x) x))
	72.2%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
	70.5%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 x #s(literal 1/3 binary64)))) (*.f64 x x) x))
✓	70.5%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
✓	70.9%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	72.0%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))))
	72.2%	#s(approx (log (+ 1 x)) (+.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) x))
	72.6%	#s(approx (log (+ 1 x)) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
	70.9%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
	5.6%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) x)))
✓	5.6%	#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
	5.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
✓	5.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
✓	5.6%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
✓	4.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))

Compiler

Compiled 1 539 to 537 computations (65.1% saved)

regimes59.0ms (0.8%)

Memory

3.4MiB live, 78.3MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) x)))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 x #s(literal 1/3 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) #s(approx (/ 1 (+ (* x 1/3) 1/2)) #s(literal 2 binary64))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) #s(approx (+ (* x 1/3) 1/2) (.f64 x #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (+.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log1p.f64 x)

Calls

3 calls:

30.0ms	(+.f64 #s(literal 1 binary64) x)
15.0ms	x
11.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes68.0ms (0.9%)

Memory

-27.2MiB live, 121.6MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) x)))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 x #s(literal 1/3 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) #s(approx (/ 1 (+ (* x 1/3) 1/2)) #s(literal 2 binary64))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) #s(approx (+ (* x 1/3) 1/2) (.f64 x #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (+.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (.f64 x x) x))

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))

Calls

3 calls:

41.0ms	(+.f64 #s(literal 1 binary64) x)
14.0ms	x
10.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
72.6%	1	`x`
72.6%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
72.6%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.3%)

Memory

-27.0MiB live, 51.9MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) x)))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 x #s(literal 1/3 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) #s(approx (/ 1 (+ (* x 1/3) 1/2)) #s(literal 2 binary64))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) #s(approx (+ (* x 1/3) 1/2) (.f64 x #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))

Outputs

#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))

Calls

3 calls:

6.0ms	(+.f64 #s(literal 1 binary64) x)
6.0ms	x
5.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
72.6%	1	`x`
72.6%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
72.6%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) x)))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x (+ (* x -1/4) 1/3)) -1/2) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 x #s(literal 1/3 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) #s(approx (/ 1 (+ (* x 1/3) 1/2)) #s(literal 2 binary64))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) #s(approx (+ (* x 1/3) 1/2) (.f64 x #s(literal 1/3 binary64)))) (.f64 x x) x))

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

Calls

3 calls:

5.0ms	x
5.0ms	(+.f64 #s(literal 1 binary64) x)
4.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
72.0%	1	`x`
72.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
72.0%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-18.3MiB live, 20.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) #s(approx (* x (* x (+ (* x 1/3) -1/2))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x) (.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) x)))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))

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

Calls

3 calls:

4.0ms	(+.f64 #s(literal 1 binary64) x)
3.0ms	x
3.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
70.9%	1	`x`
70.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
70.9%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
1.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
70.9%	1	`x`
70.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
70.9%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
1.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
4.4%	1	`x`
4.4%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
4.4%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify36.0ms (0.5%)

Memory

-29.6MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	47	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Outputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
#s(approx (log (+ 1 x)) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (.f64 x (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

soundness1.4s (17.6%)

Memory

37.4MiB live, 816.3MiB allocated

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
9 878×	`lower-fma.f64`
9 878×	`lower-fma.f32`
9 064×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	376
0	66	368
1	250	354
2	1780	354
0	8509	318
0	158	2051
1	455	1973
2	1081	1944
3	3107	1930
4	7786	1930
0	8251	1738
0	19	86
0	33	86
1	141	86
2	1034	86
0	8339	86
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5
0	108	1130
1	297	1070
2	773	1046
3	2466	1030
4	6230	1014
0	8098	927
0	62	169
1	171	155
2	363	150
3	980	148
4	2419	144
5	4413	144
6	5329	144
7	6636	144
8	7416	144
9	7564	144
10	7608	144
11	7610	144
12	7610	144
13	7853	144
14	7970	144
15	7978	144
16	7986	144
17	7986	144
0	8425	138

Stop Event

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

Compiler

Compiled 203 to 106 computations (47.8% saved)

preprocess71.0ms (0.9%)

Memory: 10.0MiB live, 157.6MiB allocated
Compiler: Compiled 170 to 70 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	50	408
0	66	400
1	125	400
2	190	400
3	239	400
4	307	400
5	395	400
6	672	400
7	830	400
8	915	400
9	922	400
10	922	400
11	922	400
0	922	364

Iter	Nodes	Cost
0	50	408
0	66	400
1	125	400
2	190	400
3	239	400
4	307	400
5	395	400
6	672	400
7	830	400
8	915	400
9	922	400
10	922	400
11	922	400
0	922	364

start0.0ms (0%)

analyze1.0ms (0%)

sample389.0ms (5%)

explain48.0ms (0.6%)

preprocess16.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize17.0ms (0.2%)

series2.0ms (0%)

simplify494.0ms (6.4%)

rewrite262.0ms (3.4%)

eval140.0ms (1.8%)

prune72.0ms (0.9%)

simplify210.0ms (2.7%)

localize99.0ms (1.3%)

series12.0ms (0.2%)

simplify446.0ms (5.7%)

rewrite784.0ms (10.1%)

eval71.0ms (0.9%)

prune92.0ms (1.2%)

simplify62.0ms (0.8%)

localize177.0ms (2.3%)

series38.0ms (0.5%)

simplify270.0ms (3.5%)

rewrite579.0ms (7.5%)

eval251.0ms (3.2%)

prune370.0ms (4.8%)

simplify35.0ms (0.5%)

localize151.0ms (1.9%)

series17.0ms (0.2%)

simplify209.0ms (2.7%)

rewrite498.0ms (6.4%)

eval102.0ms (1.3%)

prune188.0ms (2.4%)

regimes59.0ms (0.8%)

regimes68.0ms (0.9%)

regimes21.0ms (0.3%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify36.0ms (0.5%)

soundness1.4s (17.6%)

preprocess71.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	50	408
0	66	400
1	125	400
2	190	400
3	239	400
4	307	400
5	395	400
6	672	400
7	830	400
8	915	400
9	922	400
10	922	400
11	922	400
0	922	364