Metrics for ln(1 + x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
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)

sample378.0ms (7.6%)

Memory

22.0MiB live, 475.6MiB allocated

Samples

217.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-log1p: 82.0ms (90.6% of total)

ival-true: 5.0ms (5.5% of total)

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

Bogosity

explain46.0ms (0.9%)

Memory

-13.4MiB live, 61.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
162	-	162	(-2.49752366777865e-233)	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	162
-	0	94

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	162
-	0	0	94

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

24.0ms

512×

valid

Compiler

Compiled 37 to 23 computations (37.8% saved)

Precisions

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

ival-log1p: 5.0ms (59.4% of total)

ival-add: 3.0ms (35.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.5%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify8.0ms (0.2%)

Memory

-30.9MiB live, 5.5MiB 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)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize12.0ms (0.3%)

Memory

20.1MiB live, 20.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	37.465303775290714	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

8.0ms

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 (51% of total)

ival-add: 1.0ms (25.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 24

Calls

Call 1

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

Inputs

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

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

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

3 calls:

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

simplify253.0ms (5.1%)

Memory

11.4MiB live, 132.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 648×	`lower-fma.f64`
12 648×	`lower-fma.f32`
2 520×	`lower-*.f64`
2 520×	`lower-*.f32`
2 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	169
1	171	155
2	363	150
3	979	148
4	2422	144
5	4452	144
6	5392	144
7	6689	144
8	7472	144
9	7620	144
10	7664	144
11	7666	144
12	7666	144
13	7909	144
0	8006	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
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* -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)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(+ (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 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

rewrite205.0ms (4.1%)

Memory

2.7MiB live, 191.6MiB 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
(.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (.f64 (.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) x)))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)))
(log1p.f64 x)
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))))) (.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))) (+.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (+.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))) (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x))) (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x))))) (-.f64 (log1p.f64 (.f64 (.f64 x x) x)) (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))))))
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(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 x x) x) x) (-.f64 x #s(literal 1 binary64)))))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64)))) (.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) x))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (fma.f64 x x x)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (fma.f64 x x x)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))))) x))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))) (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x x) x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (.f64 (.f64 x x) x)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (.f64 (.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

eval91.0ms (1.8%)

Memory: -8.8MiB live, 76.3MiB allocated
Compiler: Compiled 11 150 to 1 115 computations (90% saved)

prune58.0ms (1.2%)

Memory

-4.3MiB live, 113.3MiB 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)
▶	63.6%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
▶	64.7%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
▶	63.4%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))

Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify20.0ms (0.4%)

Memory

-7.3MiB live, 30.3MiB 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 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))

Rules

1 072×	`lower-fma.f32`
1 060×	`lower-fma.f64`
340×	`lower-*.f32`
334×	`lower-*.f64`
286×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	114
0	35	114
1	53	114
2	91	114
3	198	114
4	427	114
5	691	114
6	754	114
0	754	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize124.0ms (2.5%)

Memory

-15.7MiB live, 119.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(log1p.f64 x)
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
accuracy	0.04296875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.046875	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
accuracy	23.294880082390897	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.05078125	(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.13671875	(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
accuracy	22.5820405600052	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	23.407248400819437	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))

Samples

43.0ms

256×

valid

Compiler

Compiled 110 to 23 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 13.0ms (49.2% of total)

ival-add: 7.0ms (26.5% of total)

ival-log1p: 3.0ms (11.4% of total)

const: 3.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

12 → 144

Calls

Call 1

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

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify240.0ms (4.8%)

Memory

2.9MiB live, 164.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 854×	`lower-fma.f64`
13 854×	`lower-fma.f32`
3 106×	`lower-*.f64`
3 106×	`lower-*.f32`
2 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1258
1	377	1186
2	1154	1162
3	3986	1130
0	8185	1010

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

rewrite416.0ms (8.4%)

Memory

0.5MiB live, 222.1MiB allocated

Rules

7 758×	`lower-fma.f32`
7 746×	`lower-fma.f64`
4 884×	`lower-*.f32`
4 878×	`lower-*.f64`
3 964×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	35	97
1	134	97
2	982	97
0	8466	97

Stop Event

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

Counts

12 → 412

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
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(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64)) x) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (*.f64 x x)) x #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (*.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) x) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
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(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
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(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) x #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) x) x))))
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#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
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eval97.0ms (1.9%)

Memory: -9.7MiB live, 150.4MiB allocated
Compiler: Compiled 13 718 to 1 441 computations (89.5% saved)

prune112.0ms (2.3%)

Memory

9.1MiB live, 206.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	546	3	549
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	546	7	553

Accuracy

100.0%

Counts

553 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
▶	63.4%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	63.6%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
✓	64.7%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
▶	63.6%	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)) x))
✓	63.4%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
▶	64.7%	#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 75 to 46 computations (38.7% saved)

simplify149.0ms (3%)

Memory

23.6MiB live, 211.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

12 278×	`lower-fma.f32`
12 268×	`lower-fma.f64`
2 826×	`lower-*.f32`
2 816×	`lower-*.f64`
1 720×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	191
0	46	191
1	73	191
2	110	191
3	261	191
4	800	186
5	1426	186
6	2531	186
7	4694	186
8	7278	186
0	8031	169

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1.5%)

Memory

2.1MiB live, 146.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
accuracy	23.407248400819437	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
accuracy	0.109375	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)
accuracy	0.19497952921729228	(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))
accuracy	0.23828125	(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy	23.294880082390897	#s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)) x))
accuracy	0.04296875	(.f64 #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)) x)
accuracy	23.294880082390897	#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)) x))
accuracy	23.690187864361967	#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 158 to 30 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 22.0ms (53.4% of total)

ival-add: 8.0ms (19.4% of total)

ival-div: 5.0ms (12.1% of total)

ival-log1p: 3.0ms (7.3% of total)

const: 3.0ms (7.3% of total)

exact: 1.0ms (2.4% of total)

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

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

series9.0ms (0.2%)

Memory

26.2MiB live, 26.3MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify137.0ms (2.8%)

Memory

-29.3MiB live, 211.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 734×	`lower-fma.f64`
9 734×	`lower-fma.f32`
2 614×	`lower--.f64`
2 614×	`lower--.f32`
2 594×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1297
1	336	1220
2	946	1208
3	3010	1166
4	6841	1166
0	8047	1072

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 138

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

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

rewrite184.0ms (3.7%)

Memory

21.6MiB live, 299.0MiB allocated

Rules

9 802×	`lower-fma.f32`
9 792×	`lower-fma.f64`
4 030×	`lower-*.f32`
4 020×	`lower-*.f64`
3 846×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	163
0	46	163
1	175	163
2	1321	145
0	8543	127

Stop Event

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

Counts

12 → 322

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) x (fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) (-.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))))) (+.f64 (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (.f64 (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)))))))
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(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) (.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 x x) x) #s(literal 1/27 binary64)) (.f64 x x))))

eval162.0ms (3.3%)

Memory: 14.3MiB live, 88.1MiB allocated
Compiler: Compiled 16 990 to 1 318 computations (92.2% saved)

prune92.0ms (1.9%)

Memory

7.6MiB live, 120.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	479	1	480
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	480	7	487

Accuracy

100.0%

Counts

487 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
▶	63.6%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)))
✓	63.4%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	63.6%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
✓	64.7%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
✓	63.4%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
✓	64.7%	#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 69 to 42 computations (39.1% saved)

simplify246.0ms (5%)

Memory

-37.2MiB live, 60.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)))
cost-diff	128	(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
cost-diff	640	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))

Rules

5 648×	`lower-fma.f32`
5 642×	`lower-fma.f64`
1 382×	`unsub-neg`
1 360×	`lower-*.f32`
1 354×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	78
0	26	76
1	50	74
2	105	72
3	271	72
4	933	72
5	1923	72
6	3430	72
7	3999	72
8	4065	72
9	4075	72
10	4075	72
11	4878	72
12	5227	72
13	5227	72
14	5227	72
15	5255	72
0	5255	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.9%)

Memory

8.6MiB live, 45.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))
accuracy	0.109375	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)
accuracy	0.23828125	(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy	23.294880082390897	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)))

Samples

35.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

const: 10.0ms (37.6% of total)

ival-mult: 9.0ms (33.8% of total)

ival-add: 3.0ms (11.3% of total)

ival-log1p: 3.0ms (11.3% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify159.0ms (3.2%)

Memory

-0.5MiB live, 158.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 558×	`lower-fma.f64`
10 558×	`lower-fma.f32`
2 186×	`lower-+.f64`
2 186×	`lower-+.f32`
2 170×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	497
1	272	482
2	658	470
3	1897	460
4	4812	460
5	7270	460
0	8081	421

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

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

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

rewrite456.0ms (9.2%)

Memory

-9.5MiB live, 316.9MiB allocated

Rules

10 440×	`lower-fma.f32`
10 434×	`lower-fma.f64`
5 580×	`lower-*.f32`
5 574×	`lower-*.f64`
3 164×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
0	26	56
1	100	54
2	705	52
0	8479	45

Stop Event

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

Counts

5 → 330

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) x) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) (.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (.f64 x x)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (.f64 (neg.f64 x) (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (.f64 x x)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (.f64 (neg.f64 x) (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x)))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x))) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) x) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) x (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) x) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x))))))
(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)))) (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) x) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (fma.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x)))))
(.f64 (.f64 (.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (.f64 (neg.f64 x) (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) x) x) (fma.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))
(*.f64 (fma.f64 x (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
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(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) x (.f64 (.f64 #s(literal 1/3 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) x (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) x))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) (/.f64 (.f64 x x) (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x #s(literal -1/4 binary64))))
(fma.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 x x) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (.f64 x x) (.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 x x)))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 x (.f64 #s(literal 1/3 binary64) x)))
(fma.f64 x (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(fma.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 x x)) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -1/4 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) x) (.f64 (*.f64 #s(literal 1/3 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) x))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/4 binary64))) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal -1/4 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
(+.f64 (.f64 x (.f64 #s(literal 1/3 binary64) x)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x))
(+.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal -1/27 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) x) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/9 binary64))))) (fma.f64 #s(literal 1/256 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/9 binary64)) (.f64 #s(literal 1/16 binary64) (*.f64 x x))))))
(.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) (/.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))) x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x))
(.f64 (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) x) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64))) x) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x))) (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x x) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) x) (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/12 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) x #s(literal 1/27 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x #s(literal -1/4 binary64)) x (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 x (.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1/4 binary64) (.f64 x x) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))

eval100.0ms (2%)

Memory: -5.8MiB live, 99.8MiB allocated
Compiler: Compiled 14 484 to 1 124 computations (92.2% saved)

prune152.0ms (3.1%)

Memory

39.0MiB live, 109.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	386	2	388
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	387	8	395

Accuracy

100.0%

Counts

395 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
	63.6%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 (.f64 x x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	63.5%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x) x (.f64 (.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) x)))
✓	63.4%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	63.6%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
✓	64.7%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
✓	63.4%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
✓	64.7%	#s(approx (log (+ 1 x)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 255 to 109 computations (57.3% saved)

regimes32.0ms (0.6%)

Memory

-5.8MiB live, 29.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
(log1p.f64 x)

Calls

3 calls:

24.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
4.0ms	x
3.0ms	(+.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)

regimes125.0ms (2.5%)

Memory

-15.6MiB live, 24.7MiB allocated

Accuracy

Total -1.2b remaining (-5.3%)

Threshold costs -1.2b (-5.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

118.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms	x
3.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
64.7%	1	`x`
64.7%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
64.7%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	21	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness696.0ms (14%)

Memory

-8.8MiB live, 385.7MiB allocated

Rules

13 854×	`lower-fma.f64`
13 854×	`lower-fma.f32`
12 648×	`lower-fma.f64`
12 648×	`lower-fma.f32`
6 606×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1258
1	377	1186
2	1154	1162
3	3986	1130
0	8185	1010
0	62	169
1	171	155
2	363	150
3	979	148
4	2422	144
5	4452	144
6	5392	144
7	6689	144
8	7472	144
9	7620	144
10	7664	144
11	7666	144
12	7666	144
13	7909	144
0	8006	138
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5

Stop Event

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

preprocess55.0ms (1.1%)

Memory: 9.5MiB live, 102.2MiB allocated
Compiler: Compiled 66 to 34 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample378.0ms (7.6%)

explain46.0ms (0.9%)

preprocess13.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.2%)

localize12.0ms (0.3%)

series2.0ms (0%)

simplify253.0ms (5.1%)

rewrite205.0ms (4.1%)

eval91.0ms (1.8%)

prune58.0ms (1.2%)

simplify20.0ms (0.4%)

localize124.0ms (2.5%)

series9.0ms (0.2%)

simplify240.0ms (4.8%)

rewrite416.0ms (8.4%)

eval97.0ms (1.9%)

prune112.0ms (2.3%)

simplify149.0ms (3%)

localize77.0ms (1.5%)

series9.0ms (0.2%)

simplify137.0ms (2.8%)

rewrite184.0ms (3.7%)

eval162.0ms (3.3%)

prune92.0ms (1.9%)

simplify246.0ms (5%)

localize45.0ms (0.9%)

series5.0ms (0.1%)

simplify159.0ms (3.2%)

rewrite456.0ms (9.2%)

eval100.0ms (2%)

prune152.0ms (3.1%)

regimes32.0ms (0.6%)

regimes125.0ms (2.5%)

simplify5.0ms (0.1%)

soundness696.0ms (14%)

preprocess55.0ms (1.1%)

end0.0ms (0%)

Profiling