Metrics for ln(1 + x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample401.0ms (5%)

Memory

27.2MiB live, 483.0MiB allocated

Samples

243.0ms	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-log1p: 82.0ms (91.2% of total)

ival-true: 5.0ms (5.6% of total)

ival-assert: 3.0ms (3.3% of total)

Bogosity

explain50.0ms (0.6%)

Memory

-11.6MiB live, 68.6MiB 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: 5.0ms (59.8% of total)

ival-add: 3.0ms (35.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.3%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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

localize18.0ms (0.2%)

Memory

-11.5MiB live, 25.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	42.02892436788027	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-log1p: 2.0ms (49.9% of total)

ival-add: 1.0ms (25% 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

2.7MiB live, 2.7MiB 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)

simplify464.0ms (5.7%)

Memory

17.3MiB live, 262.5MiB 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))

rewrite287.0ms (3.6%)

Memory

7.0MiB live, 354.1MiB 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)))

eval164.0ms (2%)

Memory: -7.4MiB live, 156.8MiB allocated
Compiler: Compiled 11 150 to 1 116 computations (90% saved)

prune64.0ms (0.8%)

Memory

5.0MiB live, 128.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	361	4	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	362	4	366

Accuracy

100.0%

Counts

366 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	70.9%	#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))
▶	71.7%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	70.7%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Compiler

Compiled 36 to 20 computations (44.4% saved)

simplify210.0ms (2.6%)

Memory

-8.8MiB live, 29.4MiB 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 (1.2%)

Memory

2.1MiB live, 122.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(log1p.f64 x)
accuracy	0.0078125	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
accuracy	0.015625	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
accuracy	0.03515625	(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	18.6328046766058	#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	0.03125	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
accuracy	0.08984375	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	18.086557449106408	#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	18.783641484671364	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Samples

80.0ms

256×

valid

Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-log1p: 43.0ms (65.2% of total)

ival-mult: 13.0ms (19.7% of total)

ival-add: 6.0ms (9.1% of total)

const: 3.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

-22.9MiB live, 15.1MiB 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>) () ())) ())
#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>) () ())) ())
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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 1/3) -1/2) (* x x)) x)

simplify445.0ms (5.5%)

Memory

39.2MiB live, 223.4MiB 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))))

rewrite751.0ms (9.3%)

Memory

0.6MiB live, 486.0MiB 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)
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(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x 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)

eval64.0ms (0.8%)

Memory: 17.1MiB live, 166.8MiB allocated
Compiler: Compiled 13 656 to 1 185 computations (91.3% saved)

prune178.0ms (2.2%)

Memory

-44.1MiB live, 205.3MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	471	11	482
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	471	15	486

Accuracy

100.0%

Counts

486 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	70.9%	#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))
✓	71.7%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
	71.3%	#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))
▶	71.7%	#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))
	71.3%	#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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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))
	71.1%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
✓	70.7%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	39.8%	#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))) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
▶	71.6%	#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))))
	39.6%	#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) (-.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x))))))
▶	5.3%	#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))))))
	5.5%	#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 494 to 232 computations (53% saved)

simplify220.0ms (2.7%)

Memory

35.0MiB live, 148.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 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 x x)) (/.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))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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)
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 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (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)) (/.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))))
cost-diff	1408	(/.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)))
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	(/.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))

Rules

2 716×	`lower-fma.f32`
2 700×	`lower-fma.f64`
2 372×	`distribute-rgt-in`
2 372×	`distribute-lft-in`
2 092×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	354
0	74	336
1	129	334
2	227	330
3	452	330
4	997	330
5	1427	330
6	1636	330
7	1925	330
8	2473	330
9	2824	330
10	3330	330
11	4037	330
12	4171	330
13	4171	330
14	4433	330
15	5426	330
16	5500	330
17	5515	330
18	5515	330
19	5515	330
20	7161	330
21	7881	330
22	7955	330
0	8663	308

Stop Event

1×	iter limit
1×	node limit
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)) (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)) #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)) (/.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))))
(/.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(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))
(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 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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)
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x))
(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)) (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 x x) (/.f64 (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))) 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 x x) (/.f64 (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))) 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 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)))
(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))
(*.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)) #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 (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x 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)))))
#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (.f64 x 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 (.f64 x 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)) (/.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 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) 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)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
#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))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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 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 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (/.f64 (*.f64 x x) (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 x x)) (/.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)
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (/.f64 (*.f64 x x) (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 x x))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 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)

localize157.0ms (1.9%)

Memory

9.4MiB live, 286.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2309878364257848	(/.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	0.28515625	(*.f64 x #s(literal 1/6 binary64))
accuracy	8.836290031131487	(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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)
accuracy	18.086557449106408	#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 x x)) (/.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))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
accuracy	0.08984375	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	0.12890625	(/.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)))
accuracy	18.086557449106408	#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))))
accuracy	0.03125	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
accuracy	0.08984375	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	18.086557449106408	#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	42.963585643256	#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	18.783641484671364	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
accuracy	43.21160288445112	#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
accuracy	0.0546875	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
accuracy	0.08984375	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
accuracy	8.899237413180549	(/.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	18.086557449106408	#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))

Samples

97.0ms

256×

valid

Compiler

Compiled 277 to 42 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 26.0ms (34.1% of total)

ival-div: 20.0ms (26.3% of total)

const: 15.0ms (19.7% of total)

ival-add: 11.0ms (14.4% of total)

ival-log1p: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

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

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

series30.0ms (0.4%)

Memory

-41.3MiB live, 50.1MiB allocated

Counts

24 → 288

Calls

Call 1

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

Outputs
#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)) (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 (* 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)) (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 (* 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)) (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 (* 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)) (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 (* -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)) (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 (+ (* -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)) (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 (- (+ (* -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)) (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 (- (+ (* -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)) (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 (+ (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)) (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 (+ (log -1) (+ (* -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)) (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 (+ (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 (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 (+ (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 (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 x (taylor 0 x) (#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 (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#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 (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#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 (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#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 (* 1/3 (pow x 3)) (taylor inf x) (#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 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) (taylor inf x) (#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 (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (taylor inf x) (#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 (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (taylor inf x) (#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 (* 1/3 (pow x 3)) (taylor -inf x) (#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 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) (taylor -inf x) (#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 -1/2 (taylor 0 x) (#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 (* 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>) () ())) ())
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#s(alt (/ (+ 9 (* -1 (/ (- (+ 27/2 (/ 729/16 (pow x 3))) (* 243/8 (/ 1 (pow x 2)))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.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 #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>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x)
1.0ms	x	@	-inf	(+ (* (/ (+ (* (* x x) 1/9) -1/4) (+ (* x 1/3) 1/2)) (* x x)) x)
0.0ms	x	@	inf	(+ (* (* (+ (* (* x (* x x)) 1/27) -1/8) (* x x)) (/ 1 (+ (+ (* (* x x) 1/9) 1/4) (* x 1/6)))) x)
0.0ms	x	@	inf	(* (+ (* (* x (* x x)) 1/27) -1/8) (* x x))
0.0ms	x	@	-inf	(* (+ (* (* x (* x x)) 1/27) -1/8) (* x x))

simplify460.0ms (5.7%)

Memory

57.9MiB live, 430.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 286×	`lower-fma.f64`
11 286×	`lower-fma.f32`
3 698×	`lower-*.f64`
3 698×	`lower-*.f32`
3 440×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2282
1	601	2205
2	1488	2172
3	4309	2162
0	8148	1964

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 277

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 (* -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 (- (* 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)))
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 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3)))
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
(+ 1/4 (* 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)))))
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)))
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))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/27 (pow x 3)) 1/8))
(* (pow x 2) (- (* 1/27 (pow x 3)) 1/8))
(* (pow x 2) (- (* 1/27 (pow x 3)) 1/8))
(* 1/27 (pow x 5))
(* (pow x 5) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))
(* (pow x 5) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))
(* (pow x 5) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))
(* 1/27 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))
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)
4
(+ 4 (* -8/3 x))
(+ 4 (* x (- (* 32/27 (pow x 2)) 8/3)))
(+ 4 (* x (- (* (pow x 2) (+ 32/27 (* -64/81 x))) 8/3)))
(/ 9 (pow x 2))
(/ (- 9 (* 27/2 (/ 1 x))) (pow x 2))
(/ (- (+ 9 (/ 243/8 (pow x 3))) (* 27/2 (/ 1 x))) (pow x 2))
(/ (- (+ 9 (/ 243/8 (pow x 3))) (+ (* 27/2 (/ 1 x)) (* 729/16 (/ 1 (pow x 4))))) (pow x 2))
(/ 9 (pow x 2))
(/ (- 9 (* 27/2 (/ 1 x))) (pow x 2))
(/ (+ 9 (* -1 (/ (- 27/2 (* 243/8 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 9 (* -1 (/ (- (+ 27/2 (/ 729/16 (pow x 3))) (* 243/8 (/ 1 (pow x 2)))) x))) (pow x 2))

Outputs
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 (*.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)) (neg.f64 (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)) (neg.f64 (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 (/.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 (*.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))
-1/4
#s(literal -1/4 binary64)
(- (* 1/9 (pow x 2)) 1/4)
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(- (* 1/9 (pow x 2)) 1/4)
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(- (* 1/9 (pow x 2)) 1/4)
(fma.f64 x (*.f64 x #s(literal 1/9 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 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/9 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 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 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 (*.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))
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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 (*.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)
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 (*.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)) (neg.f64 (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)) (neg.f64 (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 (/.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))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/27 (pow x 3)) 1/8))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/27 (pow x 3)) 1/8))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/27 (pow x 3)) 1/8))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))
(* 1/27 (pow x 5))
(.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(* 1/27 (pow x 5))
(.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
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))
-1/2
#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))
(* 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))
4
#s(literal 4 binary64)
(+ 4 (* -8/3 x))
(fma.f64 x #s(literal -8/3 binary64) #s(literal 4 binary64))
(+ 4 (* x (- (* 32/27 (pow x 2)) 8/3)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 32/27 binary64)) #s(literal -8/3 binary64)) #s(literal 4 binary64))
(+ 4 (* x (- (* (pow x 2) (+ 32/27 (* -64/81 x))) 8/3)))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -64/81 binary64) #s(literal 32/27 binary64)) #s(literal -8/3 binary64)) #s(literal 4 binary64))
(/ 9 (pow x 2))
(/.f64 #s(literal 9 binary64) (*.f64 x x))
(/ (- 9 (* 27/2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -27/2 binary64) x)) (*.f64 x x))
(/ (- (+ 9 (/ 243/8 (pow x 3))) (* 27/2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 243/8 binary64) (.f64 x x)) #s(literal -27/2 binary64)) x)) (.f64 x x))
(/ (- (+ 9 (/ 243/8 (pow x 3))) (+ (* 27/2 (/ 1 x)) (* 729/16 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 243/8 binary64) (.f64 x x)) #s(literal -27/2 binary64)) x) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -729/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ 9 (pow x 2))
(/.f64 #s(literal 9 binary64) (*.f64 x x))
(/ (- 9 (* 27/2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -27/2 binary64) x)) (*.f64 x x))
(/ (+ 9 (* -1 (/ (- 27/2 (* 243/8 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 243/8 binary64) (.f64 x x)) #s(literal -27/2 binary64)) x)) (.f64 x x))
(/ (+ 9 (* -1 (/ (- (+ 27/2 (/ 729/16 (pow x 3))) (* 243/8 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 243/8 binary64) (.f64 x x)) (+.f64 #s(literal -27/2 binary64) (/.f64 #s(literal -729/16 binary64) (.f64 x (.f64 x x))))) x)) (.f64 x x))

rewrite447.0ms (5.5%)

Memory

-27.9MiB live, 509.4MiB allocated

Rules

6 154×	`lower-fma.f32`
6 140×	`lower-fma.f64`
4 138×	`lower-*.f32`
4 122×	`lower-*.f64`
3 996×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	301
0	74	313
1	280	264
2	2086	264
0	8524	246

Stop Event

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

Counts

24 → 858

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)) (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))
#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)))
(/.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)) (/.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))))
(/.f64 #s(literal 1 binary64) (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)
(+.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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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)
#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 x x)) (/.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))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x 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))
(*.f64 x #s(literal 1/6 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))))

Outputs
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
(+.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(+.f64 x (.f64 (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) x)
(+.f64 (.f64 (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) x)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 (.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 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.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 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 (.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 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))) (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (/.f64 (.f64 x (.f64 (.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 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 x 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 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x x)
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eval276.0ms (3.4%)

Memory: 36.9MiB live, 455.4MiB allocated
Compiler: Compiled 36 930 to 2 410 computations (93.5% saved)

prune654.0ms (8.1%)

Memory

-10.5MiB live, 407.8MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 213	6	1 219
Fresh	6	0	6
Picked	3	2	5
Done	0	4	4
Total	1 222	12	1 234

Accuracy

100.0%

Counts

1 234 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	70.9%	#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))
✓	71.7%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	70.7%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
▶	74.5%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
	71.4%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 #s(literal 1 binary64) x))))
▶	5.5%	#s(approx (log (+ 1 x)) #s(approx (/ 1 (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x))) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
▶	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
▶	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
✓	5.3%	#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))))))
▶	5.5%	#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 (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 183 to 96 computations (47.5% saved)

simplify20.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #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 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
cost-diff	320	(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 x #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))
cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #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) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 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 (/ 1 (/ 1 (+ (* (+ (* 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 (/ 1 (/ 1 (+ (* (+ (* 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	#s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
cost-diff	0	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
cost-diff	192	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)

Rules

224×	`lower-fma.f32`
218×	`lower-fma.f64`
208×	`lower-*.f32`
192×	`lower-*.f64`
134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	371
0	54	347
1	92	347
2	124	347
3	172	347
4	258	347
5	277	347
6	282	347
7	312	347
8	353	347
9	390	343
10	427	343
0	427	322

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize179.0ms (2.2%)

Memory

-36.0MiB live, 138.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
accuracy	0.06640625	(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 x #s(literal -1/2 binary64)))
accuracy	18.086557449106408	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
accuracy	42.963585643256	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64)))))
accuracy	0.04296875	(.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))
accuracy	0.08984375	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	18.086557449106408	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
accuracy	42.963585643256	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
accuracy	0.078125	(.f64 x (.f64 x x))
accuracy	0.1328125	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
accuracy	18.086557449106408	#s(approx (log (+ 1 x)) #s(approx (/ 1 (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x))) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
accuracy	43.10301409345475	#s(approx (/ 1 (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x))) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
accuracy	0.19921875	(.f64 #s(literal 1/3 binary64) (.f64 x x))
accuracy	18.086557449106408	#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	42.963585643256	#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	43.18638597643413	#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
accuracy	0.0078125	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
accuracy	18.086557449106408	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
accuracy	18.183693077479457	#s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))

Samples

86.0ms

256×

valid

Compiler

Compiled 205 to 27 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 52.0ms (76.3% of total)

ival-div: 5.0ms (7.3% of total)

ival-add: 4.0ms (5.9% of total)

const: 4.0ms (5.9% of total)

ival-log1p: 3.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

21 → 252

Calls

Call 1

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

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (+ (* x 1/2) 1) x)
0.0ms	x	@	inf	(/ (+ (* x 1/2) 1) x)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	0	(/ (+ (* x 1/2) 1) x)
0.0ms	x	@	-inf	(* 1/3 (* x (* x x)))

simplify184.0ms (2.3%)

Memory

-12.2MiB live, 301.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 384×	`lower-fma.f64`
8 384×	`lower-fma.f32`
2 942×	`lower-*.f64`
2 942×	`lower-*.f32`
1 946×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	2043
1	364	1967
2	909	1938
3	2738	1928
4	6992	1908
0	8163	1740

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 242

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 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 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) 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 (- (* 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 (- (* 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
(- (* 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)))
(* -1/2 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 (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)))
(* 1/3 (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
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) 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 (/.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 (neg.f64 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.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 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 x (.f64 #s(literal 1/3 binary64) (*.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 x (.f64 #s(literal 1/3 binary64) (*.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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ 3 (pow x 3))
(/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/4 binary64) x) #s(literal -9/2 binary64)) x)) (.f64 x (.f64 x x)))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -135/8 binary64) x)) x)) x)) (.f64 x (.f64 x x)))
(/ 3 (pow x 3))
(/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/4 binary64) x) #s(literal -9/2 binary64)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3)))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -135/8 binary64) x)) x)) x)) (.f64 x (.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 (/.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 (neg.f64 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.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 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 x (.f64 #s(literal 1/3 binary64) (*.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 x (.f64 #s(literal 1/3 binary64) (*.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)
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(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.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 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.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) (- (* 1/2 (/ 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) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 x (.f64 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))

rewrite237.0ms (2.9%)

Memory

-10.8MiB live, 517.4MiB allocated

Rules

6 266×	`lower-fma.f32`
6 260×	`lower-fma.f64`
4 902×	`lower-*.f32`
4 886×	`lower-*.f64`
4 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	339
0	54	315
1	177	315
2	1049	315
0	8338	294

Stop Event

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

Counts

21 → 412

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) x) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))) x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)))
(/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) x))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (.f64 x (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (.f64 (neg.f64 x) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
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(.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
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(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal -1/2 binary64))))))))
(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) x))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.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)))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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 (.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))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.f64 (/.f64 x x) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) x) (/.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/3 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/3 binary64))

eval75.0ms (0.9%)

Memory: -4.9MiB live, 148.6MiB allocated
Compiler: Compiled 12 492 to 1 033 computations (91.7% saved)

prune65.0ms (0.8%)

Memory

5.7MiB live, 128.1MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	649	5	654
Fresh	1	0	1
Picked	5	0	5
Done	1	5	6
Total	656	10	666

Accuracy

100.0%

Counts

666 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	70.9%	#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))
✓	71.7%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	70.7%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	72.9%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
	72.4%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x))))))
	74.5%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
	72.5%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)))))
	6.9%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64)))))
✓	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 512 to 158 computations (69.1% saved)

regimes26.0ms (0.3%)

Memory

6.8MiB live, 44.1MiB allocated

Counts

27 → 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64)))))
#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 (/ 1 (/ 1 (+ (* (+ (* 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 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) 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)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 #s(literal 1 binary64) 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x))))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 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 (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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.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))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) 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))) (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 (.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) (-.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x))))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log1p.f64 x)

Calls

3 calls:

10.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
8.0ms	x
6.0ms	(+.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)

regimes23.0ms (0.3%)

Memory

-1.4MiB live, 36.7MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

8.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
7.0ms	x
6.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
74.5%	1	`x`
74.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
74.5%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.5%	1	`x`
74.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
74.5%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes53.0ms (0.7%)

Memory

-46.4MiB live, 53.7MiB allocated

Counts

13 → 2

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

Outputs

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

Calls

3 calls:

19.0ms	(+.f64 #s(literal 1 binary64) x)
19.0ms	x
4.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
74.9%	2	`x`
74.9%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
74.9%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.2%)

Memory

-7.0MiB live, 31.6MiB allocated

Counts

12 → 2

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

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

Calls

3 calls:

6.0ms	x
3.0ms	(+.f64 #s(literal 1 binary64) x)
3.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
74.8%	2	`x`
74.8%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
74.8%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

9 → 2

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.7%	2	`x`
74.7%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
74.7%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

2 → 2

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

Outputs

#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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) 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
9.0%	2	`x`
8.5%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
8.5%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory

-30.6MiB live, 8.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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)))))

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:

3.0ms	x
1.0ms	(+.f64 #s(literal 1 binary64) x)
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000029039249	11.16878893916448

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000029039249	11.16878893916448

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000029039249	11.16878893916448

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch10.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.9036617350575965e-169	8.030503320555108e-154

Samples

4.0ms

160×

valid

Compiler

Compiled 178 to 106 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-log1p: 1.0ms (84.5% of total)

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

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

simplify12.0ms (0.1%)

Memory

-19.8MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	278
1	65	278

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 8151758837614529/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #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)))))

Outputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 8151758837614529/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #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)))))

soundness1.6s (19.4%)

Memory

60.6MiB live, 784.1MiB allocated

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
11 286×	`lower-fma.f64`
11 286×	`lower-fma.f32`
9 064×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2282
1	601	2205
2	1488	2172
3	4309	2162
0	8148	1964
0	108	1130
1	297	1070
2	773	1046
3	2466	1030
4	6230	1014
0	8098	927
0	39	339
0	54	315
1	177	315
2	1049	315
0	8338	294
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5
0	19	86
0	33	86
1	141	86
2	1034	86
0	8339	86
0	133	2043
1	364	1967
2	909	1938
3	2738	1928
4	6992	1908
0	8163	1740
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 335 to 165 computations (50.7% saved)

preprocess88.0ms (1.1%)

Memory: -2.5MiB live, 187.1MiB allocated
Compiler: Compiled 280 to 90 computations (67.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	39	371
0	54	347
1	92	347
2	124	347
3	172	347
4	258	347
5	277	347
6	282	347
7	312	347
8	353	347
9	390	343
10	427	343
0	427	322

Iter	Nodes	Cost
0	39	371
0	54	347
1	92	347
2	124	347
3	172	347
4	258	347
5	277	347
6	282	347
7	312	347
8	353	347
9	390	343
10	427	343
0	427	322

start0.0ms (0%)

analyze1.0ms (0%)

sample401.0ms (5%)

explain50.0ms (0.6%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize18.0ms (0.2%)

series2.0ms (0%)

simplify464.0ms (5.7%)

rewrite287.0ms (3.6%)

eval164.0ms (2%)

prune64.0ms (0.8%)

simplify210.0ms (2.6%)

localize99.0ms (1.2%)

series23.0ms (0.3%)

simplify445.0ms (5.5%)

rewrite751.0ms (9.3%)

eval64.0ms (0.8%)

prune178.0ms (2.2%)

simplify220.0ms (2.7%)

localize157.0ms (1.9%)

series30.0ms (0.4%)

simplify460.0ms (5.7%)

rewrite447.0ms (5.5%)

eval276.0ms (3.4%)

prune654.0ms (8.1%)

simplify20.0ms (0.2%)

localize179.0ms (2.2%)

series16.0ms (0.2%)

simplify184.0ms (2.3%)

rewrite237.0ms (2.9%)

eval75.0ms (0.9%)

prune65.0ms (0.8%)

regimes26.0ms (0.3%)

regimes23.0ms (0.3%)

regimes13.0ms (0.2%)

regimes53.0ms (0.7%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.6s (19.4%)

preprocess88.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	39	371
0	54	347
1	92	347
2	124	347
3	172	347
4	258	347
5	277	347
6	282	347
7	312	347
8	353	347
9	390	343
10	427	343
0	427	322