Metrics for ln(1 + x)

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample392.0ms (4.5%)

Memory

20.0MiB live, 474.8MiB allocated

Samples

211.0ms	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-log1p: 80.0ms (91.4% of total)

ival-true: 5.0ms (5.7% of total)

ival-assert: 3.0ms (3.4% of total)

Bogosity

preprocess14.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain50.0ms (0.6%)

Memory

-12.2MiB live, 68.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
160	-	-	`(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	160	0

Confusion

	Predicted +	Predicted -
+	160	0
-	0	96

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	160	0	0
-	0	0	96

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	96
1	160

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log1p: 7.0ms (68.4% of total)

ival-add: 3.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

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
▶	43.2%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Memory

4.7MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

-11.7MiB live, 25.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	43.2%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-log1p: 2.0ms (48.7% of total)

ival-add: 1.0ms (24.3% 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

2.4MiB live, 2.4MiB 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)

simplify601.0ms (6.9%)

Memory

24.7MiB live, 500.2MiB 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))

rewrite903.0ms (10.4%)

Memory

6.2MiB live, 485.8MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))

eval47.0ms (0.5%)

Memory: -5.1MiB live, 111.5MiB allocated
Compiler: Compiled 11 129 to 1 116 computations (90% saved)

prune45.0ms (0.5%)

Memory

1.7MiB live, 122.1MiB 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)
▶	62.7%	#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))
▶	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	62.4%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Compiler

Compiled 33 to 20 computations (39.4% saved)

simplify32.0ms (0.4%)

Memory

1.0MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(log1p.f64 x)
✓	cost-diff	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	(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	#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	(*.f64 x x)
✓	cost-diff	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	cost-diff	#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	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓	cost-diff	#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

localize226.0ms (2.6%)

Memory

-6.0MiB live, 167.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(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	62.7%	#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	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	62.4%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))

Samples

174.0ms

256×

valid

Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-log1p: 139.0ms (85.4% of total)

ival-mult: 11.0ms (6.8% of total)

ival-add: 7.0ms (4.3% of total)

const: 5.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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 -1/2)
0.0ms	x	@	inf	(+ (* x (* x -1/2)) x)
0.0ms	x	@	inf	(+ (* (+ (* x 1/3) -1/2) (* x x)) x)

simplify269.0ms (3.1%)

Memory

5.2MiB live, 507.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 137

Calls

Call 1

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

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

rewrite541.0ms (6.2%)

Memory

-2.3MiB live, 673.4MiB allocated

Algorithm

1×	batch-egg-rewrite

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)

eval60.0ms (0.7%)

Memory: 21.5MiB live, 137.4MiB allocated
Compiler: Compiled 13 087 to 1 181 computations (91% saved)

prune89.0ms (1%)

Memory

-29.5MiB live, 128.4MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

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

Accuracy

100.0%

Counts

486 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	62.7%	#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))
✓	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	63.2%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x))
	63.8%	#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))
	62.9%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (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))
	63.2%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (.f64 x #s(literal 1/6 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))) (*.f64 x x) x))
▶	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 x x) x))
	62.5%	#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))
✓	62.4%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
▶	63.6%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))))
	33.1%	#s(approx (log (+ 1 x)) (.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
▶	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
	5.5%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
▶	4.0%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 433 to 246 computations (43.2% saved)

simplify298.0ms (3.4%)

Memory

25.7MiB live, 396.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x)
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x))
✓	cost-diff	448	(+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	cost-diff	0	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	#s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 x x) x))
✓	cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
✓	cost-diff	128	(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))

Rules

7 874×	`lower-fma.f32`
7 862×	`lower-fma.f64`
2 546×	`lower-*.f32`
2 528×	`lower-*.f64`
1 852×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	380
0	76	362
1	135	360
2	248	352
3	570	352
4	1283	352
5	2016	352
6	3254	352
7	5638	352
8	7790	352
0	8053	322

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (2.9%)

Memory

4.0MiB live, 317.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	75.8%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	accuracy	63.8%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	63.8%	#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	41.1%	#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	100.0%	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	62.4%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	41.0%	#s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	83.2%	(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))
✓	accuracy	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 x x) x))

Samples

180.0ms

256×

valid

Compiler

Compiled 295 to 42 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-add: 81.0ms (50.7% of total)

const: 46.0ms (28.8% of total)

ival-mult: 20.0ms (12.5% of total)

ival-div: 8.0ms (5% of total)

ival-log1p: 3.0ms (1.9% of total)

ival-sub: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-4.6MiB live, 32.7MiB allocated

Counts

26 → 312

Calls

Call 1

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

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 -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 (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/9 (pow x 2)))>
#<alt (+ 1/4 (* -1/9 (pow x 2)))>
#<alt (+ 1/4 (* -1/9 (pow x 2)))>
#<alt (* -1/9 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* -1/9 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))>
#<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 (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 (- (* 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 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 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)>
#<alt (/ 3 (pow x 3))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))>
#<alt (/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))>
#<alt (/ 3 (pow x 3))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3)))>
#<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 (+ 1/4 (* 1/6 x))>
#<alt (+ 1/4 (* x (+ 1/6 (* 1/9 x))))>
#<alt (+ 1/4 (* x (+ 1/6 (* 1/9 x))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 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 -2>
#<alt (- (* -4/3 x) 2)>
#<alt (- (* x (- (* -8/9 x) 4/3)) 2)>
#<alt (- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)>
#<alt (/ 3 x)>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) x)>
#<alt (/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)>
#<alt (/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)>
#<alt (/ 3 x)>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* x -1/2))
1.0ms	x	@	-inf	(* x (+ (* x 1/3) -1/2))
1.0ms	x	@	0	(/ 1 (/ (+ -1/2 (* x -1/3)) (- 1/4 (* (* x x) 1/9))))
0.0ms	x	@	inf	(+ (* (/ (+ (* (* x (* x x)) 1/27) -1/8) (+ (+ (* (* x x) 1/9) 1/4) (* x 1/6))) (* x x)) x)
0.0ms	x	@	inf	(/ 1 (/ (+ -1/2 (* x -1/3)) (- 1/4 (* (* x x) 1/9))))

simplify568.0ms (6.5%)

Memory

1.2MiB live, 556.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 508×	`lower-fma.f64`
9 508×	`lower-fma.f32`
3 366×	`lower-*.f64`
3 366×	`lower-*.f32`
2 966×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	2229
1	547	2153
2	1324	2119
3	3758	2102
0	8405	1913

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 302

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)))
-1/2
(- (* -1/3 x) 1/2)
(- (* -1/3 x) 1/2)
(- (* -1/3 x) 1/2)
(* -1/3 x)
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1/3 x)
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
1/4
(+ 1/4 (* -1/9 (pow x 2)))
(+ 1/4 (* -1/9 (pow x 2)))
(+ 1/4 (* -1/9 (pow x 2)))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* -1/9 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))
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 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
1/4
(+ 1/4 (* 1/6 x))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 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)))
-2
(- (* -4/3 x) 2)
(- (* x (- (* -8/9 x) 4/3)) 2)
(- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)
(/ 3 x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)
(/ 3 x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))
(* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
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(+ (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 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (neg.f64 (log.f64 (neg.f64 x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ 3 (pow x 3))
(/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) x)) (.f64 x (.f64 x x)))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -135/8 binary64) x)) x)) x)) (.f64 x (.f64 x x)))
(/ 3 (pow x 3))
(/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3)))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -135/8 binary64) x)) x)) x)) (.f64 x (.f64 x x)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))
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 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.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)
(* -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 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) 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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))
(+ (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 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (neg.f64 (log.f64 (neg.f64 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 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
-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))
-2
#s(literal -2 binary64)
(- (* -4/3 x) 2)
(fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))
(- (* x (- (* -8/9 x) 4/3)) 2)
(fma.f64 x (fma.f64 x #s(literal -8/9 binary64) #s(literal -4/3 binary64)) #s(literal -2 binary64))
(- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -16/27 binary64) #s(literal -8/9 binary64)) #s(literal -4/3 binary64)) #s(literal -2 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x)) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) (/.f64 #s(literal 81/8 binary64) (*.f64 x x))) x)) x)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

rewrite663.0ms (7.6%)

Memory

25.1MiB live, 751.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 628×	`lower-fma.f32`
5 618×	`lower-fma.f64`
4 658×	`lower-/.f32`
4 648×	`lower-/.f64`
4 578×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	312
0	76	318
1	290	267
2	2226	267
0	8897	249

Stop Event

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

Counts

26 → 999

Calls

Call 1

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

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

eval210.0ms (2.4%)

Memory: 13.5MiB live, 533.8MiB allocated
Compiler: Compiled 40 579 to 3 464 computations (91.5% saved)

prune376.0ms (4.3%)

Memory

-30.3MiB live, 483.3MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 421	6	1 427
Fresh	6	0	6
Picked	3	2	5
Done	0	4	4
Total	1 430	12	1 442

Accuracy

100.0%

Counts

1 442 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	62.7%	#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))
✓	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	62.4%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
▶	67.3%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
	63.0%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 #s(literal 1 binary64) x))))
▶	5.5%	#s(approx (log (+ 1 x)) #s(approx (/ 1 (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x))) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
▶	5.1%	#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))))
✓	5.1%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
▶	5.5%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x #s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))))))
▶	5.5%	#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
✓	4.0%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 144 to 92 computations (36.1% saved)

simplify33.0ms (0.4%)

Memory

-15.6MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

232×	`lower-*.f32`
224×	`lower-fma.f32`
220×	`lower-fma.f64`
214×	`lower-*.f64`
146×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	383
0	55	367
1	89	367
2	119	367
3	177	367
4	289	367
5	307	367
6	312	367
7	346	367
8	394	367
9	434	363
10	471	363
0	471	342

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (1.2%)

Memory

12.2MiB live, 166.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	63.8%	#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	41.1%	#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	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	63.8%	#s(approx (log (+ 1 x)) #s(approx (/ 1 (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x))) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	41.3%	#s(approx (/ 1 (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x))) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	63.8%	#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))))))
✓	accuracy	41.1%	#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)))))
✓	accuracy	39.5%	#s(approx (+ (* x 1/3) -1/2) (*.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	63.8%	#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	41.1%	#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	41.0%	#s(approx (* x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
✓	accuracy	63.8%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
✓	accuracy	63.5%	#s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))

Samples

54.0ms

256×

valid

Compiler

Compiled 202 to 24 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.8% of total)

ival-add: 6.0ms (16.3% of total)

ival-div: 5.0ms (13.6% of total)

const: 4.0ms (10.8% of total)

ival-log1p: 3.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 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 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)>
#<alt (/ 3 (pow x 3))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))>
#<alt (/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))>
#<alt (/ 3 (pow x 3))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 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 (* -1/2 (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 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 (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 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 (* -1/2 (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 (* 1/3 (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 -1/2>
#<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 (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>

Calls

69 calls:

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

simplify316.0ms (3.6%)

Memory

6.3MiB live, 440.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	2131
1	364	2055
2	909	2026
3	2738	2016
4	6992	1996
0	8163	1819

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 266

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))
(/ 3 (pow x 3))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* 1/3 (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))
-1/2
(- (* 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)))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)

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

rewrite610.0ms (7%)

Memory

-20.2MiB live, 408.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 658×	`lower-fma.f32`
7 654×	`lower-fma.f64`
5 046×	`lower-*.f32`
5 028×	`lower-*.f64`
3 470×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	358
0	55	342
1	162	342
2	831	342
3	7984	342
0	8887	321

Stop Event

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

Counts

23 → 360

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 x) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (.f64 x (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 x) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (.f64 (neg.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (.f64 (.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))))
(.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 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)))))
(.f64 (neg.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 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))
(.f64 (/.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 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (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 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/729 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/81 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/6 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/3 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
#s(approx (+ (* x 1/3) -1/2) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))

eval95.0ms (1.1%)

Memory: 26.4MiB live, 112.1MiB allocated
Compiler: Compiled 8 475 to 961 computations (88.7% saved)

prune155.0ms (1.8%)

Memory

-33.4MiB live, 124.3MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	613	13	626
Fresh	1	0	1
Picked	5	0	5
Done	1	5	6
Total	620	18	638

Accuracy

100.0%

Counts

638 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	62.7%	#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))
✓	63.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	62.4%	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	63.1%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))))))
	65.4%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
	65.4%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
	65.4%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	63.7%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)))))
	63.7%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
	64.9%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)))))
	64.8%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))))
	64.8%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))))))
	65.4%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))))
	67.3%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
	63.9%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	7.9%	#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64)))))
✓	4.0%	#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Compiler

Compiled 781 to 316 computations (59.5% saved)

regimes29.0ms (0.3%)

Memory

10.9MiB live, 49.6MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64)))))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x #s(approx ( x (+ (* x 1/3) -1/2)) (.f64 #s(literal 1/3 binary64) (.f64 x x))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* 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 (/ 1 (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x))) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* (+ (* x 1/3) -1/2) (* x x)) x) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(approx (+ (* x 1/3) -1/2) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (.f64 x #s(literal 1/6 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))))))
#s(approx (log (+ 1 x)) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (.f64 (.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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log1p.f64 x)

Calls

3 calls:

11.0ms	x
8.0ms	(+.f64 #s(literal 1 binary64) x)
8.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes28.0ms (0.3%)

Memory

14.7MiB live, 52.0MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
9.0ms	x
7.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
67.3%	1	`x`
67.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.3%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.2%)

Memory

-9.2MiB live, 28.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms	x
4.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
67.9%	2	`x`
67.9%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.9%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.2%)

Memory

-6.6MiB live, 37.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.7%	2	`x`
67.7%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.7%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.4%	2	`x`
67.4%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.4%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

-24.6MiB live, 14.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
9.8%	2	`x`
7.9%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
7.9%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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
4.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
4.0%	1	`(+.f64 #s(literal 1 binary64) x)`
4.0%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000028923497182	315644.8675863671

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000028923497182	315644.8675863671

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000028923497182	315644.8675863671

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch8.0ms (0.1%)

Memory

-17.3MiB live, 21.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.3529394102445928e-155	2.020243468242695e-153

Samples

3.0ms

112×

valid

Compiler

Compiled 92 to 76 computations (17.4% saved)

Precisions

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

ival-log1p: 1.0ms (120% of total)

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

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

simplify7.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	249
1	59	249

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 8151758837614529/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

Outputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 8151758837614529/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x 1/3) -1/2) (* x x)) x)) #s(approx (/ (+ (* x 1/2) 1) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) #s(approx (+ (* x (* x -1/2)) x) (.f64 x (.f64 x #s(literal -1/2 binary64)))))

soundness1.4s (16.6%)

Memory

48.2MiB live, 808.3MiB allocated

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
9 508×	`lower-fma.f64`
9 508×	`lower-fma.f32`
9 064×	`lower-fma.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
0	108	1130
1	297	1070
2	773	1046
3	2466	1030
4	6230	1014
0	8098	927
0	208	2229
1	547	2153
2	1324	2119
3	3758	2102
0	8405	1913
0	133	2131
1	364	2055
2	909	2026
3	2738	2016
4	6992	1996
0	8163	1819
0	19	86
0	33	86
1	141	86
2	1034	86
0	8339	86
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 256 to 143 computations (44.1% saved)

preprocess111.0ms (1.3%)

Memory: 3.2MiB live, 162.8MiB allocated
Compiler: Compiled 214 to 84 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	40	383
0	55	367
1	89	367
2	119	367
3	177	367
4	289	367
5	307	367
6	312	367
7	346	367
8	394	367
9	434	363
10	471	363
0	471	342

Iter	Nodes	Cost
0	40	383
0	55	367
1	89	367
2	119	367
3	177	367
4	289	367
5	307	367
6	312	367
7	346	367
8	394	367
9	434	363
10	471	363
0	471	342

analyze1.0ms (0%)

sample392.0ms (4.5%)

preprocess14.0ms (0.2%)

explain50.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize18.0ms (0.2%)

series1.0ms (0%)

simplify601.0ms (6.9%)

rewrite903.0ms (10.4%)

eval47.0ms (0.5%)

prune45.0ms (0.5%)

simplify32.0ms (0.4%)

localize226.0ms (2.6%)

series6.0ms (0.1%)

simplify269.0ms (3.1%)

rewrite541.0ms (6.2%)

eval60.0ms (0.7%)

prune89.0ms (1%)

simplify298.0ms (3.4%)

localize254.0ms (2.9%)

series16.0ms (0.2%)

simplify568.0ms (6.5%)

rewrite663.0ms (7.6%)

eval210.0ms (2.4%)

prune376.0ms (4.3%)

simplify33.0ms (0.4%)

localize101.0ms (1.2%)

series6.0ms (0.1%)

simplify316.0ms (3.6%)

rewrite610.0ms (7%)

eval95.0ms (1.1%)

prune155.0ms (1.8%)

regimes29.0ms (0.3%)

regimes28.0ms (0.3%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.4s (16.6%)

preprocess111.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	40	383
0	55	367
1	89	367
2	119	367
3	177	367
4	289	367
5	307	367
6	312	367
7	346	367
8	394	367
9	434	363
10	471	363
0	471	342