Metrics for ln(1 + x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample386.0ms (4.7%)

Memory

34.4MiB live, 483.4MiB allocated

Samples

221.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-log1p: 71.0ms (90.2% of total)

ival-true: 5.0ms (6.4% of total)

ival-assert: 3.0ms (3.8% of total)

Bogosity

explain49.0ms (0.6%)

Memory

-14.8MiB live, 65.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	165	0

Confusion

	Predicted +	Predicted -
+	165	0
-	0	91

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	165	0	0
-	0	0	91

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	91
1	165

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms

512×

valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

Precisions

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

ival-log1p: 5.0ms (62.5% of total)

ival-add: 3.0ms (37.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.2%)

Memory

-17.4MiB live, 20.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	38.38899496187947	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

11.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-log1p: 3.0ms (65.4% of total)

ival-add: 1.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

6 calls:

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

simplify438.0ms (5.4%)

Memory

17.7MiB live, 300.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 21

Calls

Call 1

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

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

rewrite272.0ms (3.3%)

Memory

15.3MiB live, 326.6MiB 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
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 x x) x))) (log1p.f64 (.f64 x (*.f64 x x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 x x) x) (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x x) x))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (neg.f64 x) x))))) (log1p.f64 (fma.f64 x (neg.f64 x) x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) (log.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (.f64 x x) x)))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))))))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))

eval65.0ms (0.8%)

Memory: -15.9MiB live, 93.6MiB allocated
Compiler: Compiled 11 150 to 1 116 computations (90% saved)

prune169.0ms (2.1%)

Memory

10.0MiB live, 143.0MiB 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)
▶	64.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	64.6%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Compiler

Compiled 36 to 20 computations (44.4% saved)

simplify24.0ms (0.3%)

Memory

-6.9MiB live, 30.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize279.0ms (3.4%)

Memory

15.5MiB live, 101.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(log1p.f64 x)
accuracy	0.01171875	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
accuracy	0.01171875	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
accuracy	0.041347509768442016	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
accuracy	22.55698743774035	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
accuracy	0	(*.f64 x x)
accuracy	0.02734375	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
accuracy	0.15234375	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	21.912547174696435	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
accuracy	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	22.62771700641832	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Samples

260.0ms

256×

valid

Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-mult: 235.0ms (94.9% of total)

ival-add: 6.0ms (2.4% of total)

ival-log1p: 3.0ms (1.2% of total)

const: 3.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-19.7MiB live, 14.7MiB allocated

Counts

12 → 144

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>

Calls

36 calls:

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

simplify481.0ms (5.9%)

Memory

24.0MiB live, 219.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 137

Calls

Call 1

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

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

rewrite510.0ms (6.3%)

Memory

-1.8MiB live, 464.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

12 → 325

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(+.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (.f64 x (neg.f64 x)) x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/64 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (neg.f64 (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (neg.f64 x))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
(+.f64 x (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
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(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x)))) (.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)))) (+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x)))) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(log1p.f64 x)

eval92.0ms (1.1%)

Memory: 5.9MiB live, 160.4MiB allocated
Compiler: Compiled 13 656 to 1 185 computations (91.3% saved)

prune57.0ms (0.7%)

Memory

11.0MiB live, 162.8MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	474	8	482
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	474	12	486

Accuracy

100.0%

Counts

486 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	64.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
▶	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
	65.4%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
✓	64.6%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	35.0%	#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
▶	34.7%	#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))))
▶	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
▶	4.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 350 to 158 computations (54.9% saved)

simplify344.0ms (4.2%)

Memory

-1.8MiB live, 400.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
cost-diff	0	#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))))
cost-diff	128	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
cost-diff	4288	(.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x)
cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))

Rules

12 654×	`lower-fma.f32`
12 638×	`lower-fma.f64`
3 328×	`lower-*.f32`
3 310×	`lower-*.f64`
2 376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	432
0	73	468
1	148	372
2	339	366
3	1250	366
4	3689	366
0	8833	349

Stop Event

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

Calls

Call 1

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

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

localize240.0ms (2.9%)

Memory

-27.9MiB live, 302.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
accuracy	0.1385311041587624	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
accuracy	22.407218603193602	#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))))
accuracy	38.269402636904864	(.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))))
accuracy	0.15234375	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
accuracy	0.2657130984819831	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
accuracy	11.941934120776242	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
accuracy	21.75021347755769	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
accuracy	0.05078125	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
accuracy	0.15234375	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	21.75021347755769	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
accuracy	38.871149173454064	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
accuracy	0	(.f64 x (.f64 x #s(literal -1/2 binary64)))
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	22.452468128199623	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
accuracy	39.27255114012528	#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
accuracy	0.15234375	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
accuracy	0.2657130984819831	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
accuracy	11.918496620776242	(.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
accuracy	21.75021347755769	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))

Samples

99.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 354 to 42 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-add: 40.0ms (50.3% of total)

ival-mult: 24.0ms (30.2% of total)

const: 6.0ms (7.5% of total)

ival-div: 5.0ms (6.3% of total)

ival-log1p: 3.0ms (3.8% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt -1/4>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* 1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))>
#<alt (* 1/16 (pow x 8))>
#<alt (* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))>
#<alt (* 1/16 (pow x 8))>
#<alt (* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))>
#<alt (* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 x) 1) x)>
#<alt (/ (- (* x (+ 1/2 (* -7/12 x))) 1) x)>
#<alt (/ (- (* x (+ 1/2 (* x (- (* 17/24 x) 7/12)))) 1) x)>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))>
#<alt (/ (- (+ (/ 8/9 (pow x 2)) (* 752/27 (/ 1 (pow x 3)))) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16/3 (* -1 (/ (+ 8/9 (* 752/27 (/ 1 x))) x))) x)) 4) (pow x 4))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>

Calls

69 calls:

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

simplify587.0ms (7.2%)

Memory

7.0MiB live, 286.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 882×	`lower-fma.f64`
13 882×	`lower-fma.f32`
3 776×	`lower-*.f64`
3 776×	`lower-*.f32`
3 582×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	2295
1	675	2196
2	1761	2157
3	5287	2134
0	8213	1963

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 266

Calls

Call 1

Inputs
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1/4
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(* -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 (/ (+ 1/2 (/ 1 x)) (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 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
1/2
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(/ -1 x)
(/ (- (* 1/2 x) 1) x)
(/ (- (* x (+ 1/2 (* -7/12 x))) 1) x)
(/ (- (* x (+ 1/2 (* x (- (* 17/24 x) 7/12)))) 1) x)
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/ (- (+ (/ 8/9 (pow x 2)) (* 752/27 (/ 1 (pow x 3)))) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (+ 8/9 (* 752/27 (/ 1 x))) x))) x)) 4) (pow x 4))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -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)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -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 (* 1/2 (/ 1 x))) x)))))

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

rewrite422.0ms (5.2%)

Memory

24.8MiB live, 722.9MiB allocated

Rules

5 148×	`lower-fma.f32`
5 132×	`lower-fma.f64`
4 726×	`lower-*.f32`
4 708×	`lower-*.f64`
4 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	364
0	73	361
1	300	245
2	2301	245
0	8674	231

Stop Event

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

Counts

23 → 1 168

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/9 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/9 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x (*.f64 x #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64))) (.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64))) (.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64))) (neg.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64))) (neg.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/9 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/16 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))))
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(.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x x) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) x (.f64 x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) #s(literal -1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) #s(literal -1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)

eval692.0ms (8.5%)

Memory: -6.3MiB live, 646.6MiB allocated
Compiler: Compiled 82 538 to 3 875 computations (95.3% saved)

prune200.0ms (2.4%)

Memory

-22.1MiB live, 480.1MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 748	9	1 757
Fresh	3	0	3
Picked	3	2	5
Done	0	4	4
Total	1 754	15	1 769

Accuracy

100.0%

Counts

1 769 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	64.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	65.6%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
✓	64.6%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	35.3%	#s(approx (log (+ 1 x)) (.f64 #s(approx ( (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) x) (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x))) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))))
	4.5%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
▶	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
▶	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
✓	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
▶	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
✓	4.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
▶	14.8%	#s(approx (log (+ 1 x)) #s(approx (* (* (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) x) (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x))) (/ 1 (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x)))))

Compiler

Compiled 343 to 188 computations (45.2% saved)

simplify236.0ms (2.9%)

Memory

7.9MiB live, 367.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

12 820×	`lower-fma.f32`
12 812×	`lower-fma.f64`
3 602×	`lower-*.f32`
3 586×	`lower-*.f64`
2 318×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	538
0	83	526
1	165	454
2	368	442
3	1241	442
4	3669	442
0	8308	416

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.8%)

Memory

34.7MiB live, 266.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11947250976844201	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.1953125	(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x)
accuracy	22.407218603193602	#s(approx (log (+ 1 x)) #s(approx (* (* (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) x) (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x))) (/ 1 (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x)))))
accuracy	31.485587214836688	(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x)))
accuracy	0.02734375	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
accuracy	0.0625	(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 x #s(literal -1/2 binary64)))
accuracy	21.75021347755769	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
accuracy	38.871149173454064	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64)))))
accuracy	0.04296875	(.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))
accuracy	0.15234375	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
accuracy	21.75021347755769	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
accuracy	38.871149173454064	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
accuracy	0.1640625	(.f64 #s(literal 1/3 binary64) (.f64 x x))
accuracy	21.75021347755769	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
accuracy	38.871149173454064	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
accuracy	39.24666434028638	#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
accuracy	0.15234375	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
accuracy	11.941934120776242	(/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
accuracy	21.75021347755769	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x))
accuracy	22.454926696898454	#s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64))

Samples

86.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 316 to 50 computations (84.2% saved)

Precisions

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

ival-mult: 32.0ms (47.2% of total)

ival-add: 12.0ms (17.7% of total)

const: 9.0ms (13.3% of total)

ival-div: 8.0ms (11.8% of total)

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

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series10.0ms (0.1%)

Memory

-26.1MiB live, 11.2MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt -1/4>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (/ -1 (pow x 3))>
#<alt (/ (- (* 1/2 x) 1) (pow x 3))>
#<alt (/ (- (* x (+ 1/2 (* -1/3 x))) 1) (pow x 3))>
#<alt (/ (- (* x (+ 1/2 (* -1/3 x))) 1) (pow x 3))>
#<alt (/ -1/3 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1/3) x)>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))) x)>
#<alt (/ -1/3 x)>
#<alt (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))>
#<alt (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))>

Calls

69 calls:

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

simplify243.0ms (3%)

Memory

38.1MiB live, 298.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 534×	`lower-fma.f64`
13 534×	`lower-fma.f32`
2 868×	`lower-*.f64`
2 868×	`lower-*.f32`
2 692×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	2249
1	366	2163
2	939	2138
3	2787	2088
4	7433	2088
0	8180	1904

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 265

Calls

Call 1

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

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

rewrite296.0ms (3.6%)

Memory

-28.7MiB live, 340.3MiB allocated

Rules

4 450×	`lower-*.f32`
4 434×	`lower-*.f64`
4 418×	`lower-/.f32`
4 410×	`lower-/.f64`
3 900×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	466
0	83	442
1	356	370
2	2829	370
0	8720	344

Stop Event

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

Counts

23 → 326

Calls

Call 1

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

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

eval67.0ms (0.8%)

Memory: 19.4MiB live, 140.8MiB allocated
Compiler: Compiled 12 745 to 955 computations (92.5% saved)

prune69.0ms (0.8%)

Memory

17.9MiB live, 171.0MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	577	14	591
Fresh	1	3	4
Picked	3	2	5
Done	0	6	6
Total	581	25	606

Accuracy

100.0%

Counts

606 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	64.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	65.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x))
	66.3%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (*.f64 x x) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 x x) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x x) x))
	38.5%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) #s(approx (+ (* x 1/3) 1/2) (.f64 x #s(literal 1/3 binary64)))) (.f64 x x) x))
	65.5%	#s(approx (log (+ 1 x)) (fma.f64 (.f64 (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x) x))
	65.6%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x))
	65.6%	#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x)) x))
✓	64.6%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	66.3%	#s(approx (log (+ 1 x)) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 1/9) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
	35.3%	#s(approx (log (+ 1 x)) (.f64 #s(approx ( (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) x) (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x))) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))))
	4.5%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64))))))
	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(approx (+ ( x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))))
	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x)))
✓	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))))
	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
✓	5.2%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
✓	5.3%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
✓	4.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
	19.6%	#s(approx (log (+ 1 x)) #s(approx (* (* (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) x) (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x))) (/ 1 (+ (* x (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) (neg x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x)))))))

Compiler

Compiled 970 to 346 computations (64.3% saved)

regimes42.0ms (0.5%)

Memory

-9.5MiB live, 75.7MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs
(log1p.f64 x)

Calls

3 calls:

20.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
10.0ms	x
8.0ms	(+.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)

regimes30.0ms (0.4%)

Memory

-1.9MiB live, 72.0MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
66.3%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.2%)

Memory

7.9MiB live, 45.1MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
66.3%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.2%)

Memory

-1.7MiB live, 39.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(+.f64 #s(literal 1 binary64) x)
5.0ms	x
4.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
65.8%	1	`x`
65.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
65.8%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-11.4MiB live, 25.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.4%	1	`x`
65.4%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
65.4%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

-13.4MiB live, 23.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.6%	1	`x`
64.6%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
64.6%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
4.1%	1	`x`
4.1%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
4.1%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	112
1	50	112

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (17.9%)

Memory

37.0MiB live, 813.0MiB allocated

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
13 882×	`lower-fma.f64`
13 882×	`lower-fma.f32`
9 064×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	33	86
1	141	86
2	1034	86
0	8339	86
0	108	1130
1	297	1070
2	773	1046
3	2466	1030
4	6230	1014
0	8098	927
0	238	2295
1	675	2196
2	1761	2157
3	5287	2134
0	8213	1963
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5
0	61	466
0	83	442
1	356	370
2	2829	370
0	8720	344
0	62	169
1	171	155
2	363	150
3	980	148
4	2419	144
5	4413	144
6	5329	144
7	6636	144
8	7416	144
9	7564	144
10	7608	144
11	7610	144
12	7610	144
13	7853	144
14	7970	144
15	7978	144
16	7986	144
17	7986	144
0	8425	138

Stop Event

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

Compiler

Compiled 202 to 105 computations (48% saved)

preprocess137.0ms (1.7%)

Memory: 8.6MiB live, 166.7MiB allocated
Compiler: Compiled 176 to 70 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample386.0ms (4.7%)

explain49.0ms (0.6%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize16.0ms (0.2%)

series1.0ms (0%)

simplify438.0ms (5.4%)

rewrite272.0ms (3.3%)

eval65.0ms (0.8%)

prune169.0ms (2.1%)

simplify24.0ms (0.3%)

localize279.0ms (3.4%)

series9.0ms (0.1%)

simplify481.0ms (5.9%)

rewrite510.0ms (6.3%)

eval92.0ms (1.1%)

prune57.0ms (0.7%)

simplify344.0ms (4.2%)

localize240.0ms (2.9%)

series11.0ms (0.1%)

simplify587.0ms (7.2%)

rewrite422.0ms (5.2%)

eval692.0ms (8.5%)

prune200.0ms (2.4%)

simplify236.0ms (2.9%)

localize145.0ms (1.8%)

series10.0ms (0.1%)

simplify243.0ms (3%)

rewrite296.0ms (3.6%)

eval67.0ms (0.8%)

prune69.0ms (0.8%)

regimes42.0ms (0.5%)

regimes30.0ms (0.4%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness1.5s (17.9%)

preprocess137.0ms (1.7%)

end0.0ms (0%)

Profiling