Metrics for ln(1 + x)

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

sample398.0ms (4.7%)

Memory

38.6MiB live, 486.3MiB allocated

Samples

237.0ms	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-log1p: 101.0ms (92.6% of total)

ival-true: 5.0ms (4.6% of total)

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

Bogosity

preprocess14.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB 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)

explain52.0ms (0.6%)

Memory

-11.3MiB live, 68.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	165	0
-	0	91

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	91
1	165

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

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

ival-log1p: 5.0ms (59.2% of total)

ival-add: 3.0ms (35.5% 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
▶	39.4%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.2%)

Memory

-13.4MiB live, 24.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	39.4%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

11.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-log1p: 5.0ms (77.7% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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)

rewrite340.0ms (4%)

Memory

9.1MiB live, 404.5MiB 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)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 x)))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64))
(fma.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))) (/.f64 #s(literal 1 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)))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 x)))))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))
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(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.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 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.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 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.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 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.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))))) (/.f64 #s(literal 1 binary64) (+.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 (.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)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(.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)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.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))) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (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)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))
(.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)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x 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))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x 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)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (fma.f64 (-.f64 (.f64 x x) x) (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 x x) x))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))

simplify1.0s (11.7%)

Memory

-10.3MiB live, 516.2MiB 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))

eval93.0ms (1.1%)

Memory: 1.9MiB live, 111.5MiB allocated
Compiler: Compiled 11 129 to 1 116 computations (90% saved)

prune49.0ms (0.6%)

Memory

5.9MiB live, 89.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	362	3	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	363	3	366

Accuracy

100.0%

Counts

366 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.8%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
▶	64.7%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
▶	100.0%	(log1p.f64 x)

Compiler

Compiled 20 to 12 computations (40% saved)

simplify10.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

212×	`lower-fma.f32`
206×	`lower-fma.f64`
138×	`lower-*.f32`
134×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	20	33
1	33	33
2	49	33
3	81	33
4	136	33
5	145	33
6	200	33
7	201	33
0	201	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log1p.f64 x)
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)
(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)

Outputs
(log1p.f64 x)
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)
(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)

localize45.0ms (0.5%)

Memory

-26.1MiB live, 89.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	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	100.0%	(log1p.f64 x)

Samples

31.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (52.9% of total)

ival-add: 4.0ms (17.6% of total)

const: 4.0ms (17.6% of total)

ival-log1p: 3.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

6 → 72

Calls

Call 1

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

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 (- (* 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)>

Calls

18 calls:

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

rewrite400.0ms (4.7%)

Memory

18.6MiB live, 653.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 190×	`lower-fma.f32`
8 184×	`lower-fma.f64`
4 668×	`lower-*.f32`
4 664×	`lower-*.f64`
2 644×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	20	27
1	81	27
2	567	27
3	6126	27
0	8009	27

Stop Event

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

Counts

6 → 349

Calls

Call 1

Inputs
(log1p.f64 x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 x #s(literal -1/2 binary64))
(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)

Outputs
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.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 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(+.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.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 (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 (*.f64 x (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 (.f64 x x) x) (-.f64 (-.f64 (.f64 x x) x) #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 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (neg.f64 (-.f64 (*.f64 x 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 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.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 (neg.f64 (.f64 (.f64 x x) (.f64 x (.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 (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 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.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 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (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 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x 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 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (log1p.f64 (.f64 (.f64 x (neg.f64 x)) x)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.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) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.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)))) (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) 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)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 x)
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.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 #s(literal -1/2 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) x))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) 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 #s(literal -1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.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 x) (.f64 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 x (.f64 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))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify490.0ms (5.7%)

Memory

4.4MiB live, 505.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 334×	`lower-fma.f64`
11 334×	`lower-fma.f32`
2 398×	`lower--.f64`
2 398×	`lower--.f32`
2 146×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	439
1	223	425
2	567	420
3	1788	418
4	4406	414
5	7002	414
0	8026	375

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

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 (- (* 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)

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

eval57.0ms (0.7%)

Memory: 3.9MiB live, 157.4MiB allocated
Compiler: Compiled 11 767 to 1 038 computations (91.2% saved)

prune62.0ms (0.7%)

Memory

4.7MiB live, 178.9MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	401	17	418
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	402	19	421

Accuracy

100.0%

Counts

421 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.3%	(fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x)
	65.2%	(fma.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/9 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)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x)
	65.8%	(fma.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) (.f64 x x) x)
	65.8%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
✓	65.8%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
	65.8%	(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
▶	64.9%	(fma.f64 (/.f64 (.f64 x (.f64 x (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))) x)
	65.1%	(fma.f64 (/.f64 (.f64 x (.f64 x (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)) x)
▶	65.8%	(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 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x)
	65.3%	(fma.f64 (.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 x) x)
▶	65.8%	(fma.f64 (.f64 x (.f64 x (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))) x)
	65.2%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
	64.7%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
▶	65.5%	(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
	64.8%	(.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x) (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))))
	4.9%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
	5.1%	(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
▶	3.8%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	100.0%	(log1p.f64 x)

Compiler

Compiled 681 to 386 computations (43.3% saved)

simplify562.0ms (6.6%)

Memory

-9.4MiB live, 781.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x (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)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x (.f64 x (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))) x)
✓	cost-diff	320	(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 x (.f64 x (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))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	cost-diff	0	(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 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x)
✓	cost-diff	128	(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))
✓	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 #s(literal -1/9 binary64) (*.f64 x x)))))

Rules

18 480×	`lower-fma.f32`
18 462×	`lower-fma.f64`
5 376×	`lower-*.f32`
5 358×	`lower-*.f64`
5 040×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	276
0	69	268
1	142	265
2	346	262
3	1398	262
4	3525	262
5	6059	262
6	6944	262
7	7382	262
8	7602	262
9	7652	262
10	7660	262
11	7660	262
12	7948	262
0	8120	248

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (3%)

Memory

12.8MiB live, 361.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/9 binary64))
✓	accuracy	73.4%	(/.f64 (.f64 x (.f64 x (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)))
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))
✓	accuracy	98.9%	(fma.f64 (.f64 x (.f64 x (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))) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
✓	accuracy	99.6%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))))
✓	accuracy	99.6%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	99.5%	(.f64 #s(literal -1/9 binary64) (.f64 x x))
✓	accuracy	81.6%	(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))

Samples

178.0ms	231×	0	valid
15.0ms	13×	3	valid
6.0ms	6×	2	valid
4.0ms	6×	1	valid

Compiler

Compiled 302 to 47 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-mult: 88.0ms (49.5% of total)

const: 59.0ms (33.2% of total)

ival-add: 18.0ms (10.1% of total)

ival-div: 7.0ms (3.9% of total)

adjust: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series28.0ms (0.3%)

Memory

16.4MiB live, 53.8MiB allocated

Counts

22 → 264

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 #s(literal -1/9 binary64) (*.f64 x x)))))>
#<alt (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))>
#<alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))>
#<alt (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 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 x x) x)>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)>
#<alt (*.f64 x #s(literal 1/3 binary64))>
#<alt (fma.f64 (.f64 x (.f64 x (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))) x)>
#<alt (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 x (.f64 x (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))) x)>
#<alt (/.f64 (.f64 x (.f64 x (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)))>
#<alt (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x))))>
#<alt (.f64 #s(literal -1/9 binary64) (.f64 x x))>
#<alt (*.f64 x #s(literal -1/3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/9 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 (- (* 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 (* -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 (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 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<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 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 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* x (- (* 1/9 (pow x 2)) 1/4))>
#<alt (* 1/9 (pow x 3))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))>
#<alt -1/4>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (- (* 1/9 (pow x 2)) 1/4)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/6 x))>
#<alt (+ 1/4 (* x (- (* 1/9 x) 1/6)))>
#<alt (+ 1/4 (* x (- (* 1/9 x) 1/6)))>
#<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 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/9 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) 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 (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 8/9 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 8/9 (* 16/27 x))) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 8/9 (* x (+ 16/27 (* -64/243 (pow x 2)))))) 2))>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 27/4 (/ 1 (pow x 2)))))>
#<alt (* x (+ 3 (* -1 (/ (+ 27/4 (* 81/8 (/ 1 x))) (pow x 2)))))>
#<alt (* x (- (+ 3 (* 729/32 (/ 1 (pow x 5)))) (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3)))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 27/4 (/ 1 (pow x 2))) 3)))>
#<alt (* -1 (* x (- (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3))) 3)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 729/32 (/ 1 (pow x 2))) 81/8) (pow x 3))) (* 27/4 (/ 1 (pow x 2)))) 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 (* -1/9 (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 (* -1/3 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 2>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* x (- (* 8/9 x) 4/3)))>
#<alt (+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 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

66 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* x 1/3)
2.0ms	x	@	0	(* x 1/9)
1.0ms	x	@	inf	(/ 1 (/ (+ -1/2 (* x -1/3)) (+ 1/4 (* -1/9 (* x x)))))
1.0ms	x	@	-inf	(+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* (* x (* x x)) 1/27) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x)
1.0ms	x	@	inf	(+ (* (/ (* x (* x (+ (* (* x x) 1/9) -1/4))) (+ (* (* x (* x x)) 1/27) 1/8)) (+ (* x (* x 1/9)) (+ (* x -1/6) 1/4))) x)

rewrite391.0ms (4.6%)

Memory

2.5MiB live, 603.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 938×	`lower-fma.f32`
4 920×	`lower-fma.f64`
4 278×	`lower-*.f32`
4 276×	`lower-/.f32`
4 268×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	205
0	69	198
1	305	165
2	2499	165
0	8399	156

Stop Event

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

Counts

22 → 603

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

simplify794.0ms (9.3%)

Memory

-9.2MiB live, 627.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 166×	`lower-fma.f64`
11 166×	`lower-fma.f32`
4 232×	`lower-*.f64`
4 232×	`lower-*.f32`
2 718×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	1671
1	645	1645
2	1666	1628
3	5137	1620
0	8147	1466

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

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 (- (* 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))
(* -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))
(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 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 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)
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 (pow x 2))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* (pow x 2) (- (* 1/9 (pow x 2)) 1/4))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* -1/4 x)
(* x (- (* 1/9 (pow x 2)) 1/4))
(* x (- (* 1/9 (pow x 2)) 1/4))
(* x (- (* 1/9 (pow x 2)) 1/4))
(* 1/9 (pow x 3))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 1/9)))
-1/4
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(- (* 1/9 (pow x 2)) 1/4)
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* 1/9 (pow x 2))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/9 (* 1/4 (/ 1 (pow x 2)))))
1/4
(+ 1/4 (* -1/6 x))
(+ 1/4 (* x (- (* 1/9 x) 1/6)))
(+ 1/4 (* x (- (* 1/9 x) 1/6)))
(* 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 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))
(* (pow x 2) (+ 1/9 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 8/9 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (+ 8/9 (* 16/27 x))) 2))
(* (pow x 2) (- (* (pow x 2) (+ 8/9 (* x (+ 16/27 (* -64/243 (pow x 2)))))) 2))
(* 3 x)
(* x (- 3 (* 27/4 (/ 1 (pow x 2)))))
(* x (+ 3 (* -1 (/ (+ 27/4 (* 81/8 (/ 1 x))) (pow x 2)))))
(* x (- (+ 3 (* 729/32 (/ 1 (pow x 5)))) (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3)))))
(* 3 x)
(* -1 (* x (- (* 27/4 (/ 1 (pow x 2))) 3)))
(* -1 (* x (- (+ (* 27/4 (/ 1 (pow x 2))) (/ 81/8 (pow x 3))) 3)))
(* -1 (* x (- (+ (* -1 (/ (- (* 729/32 (/ 1 (pow x 2))) 81/8) (pow x 3))) (* 27/4 (/ 1 (pow x 2)))) 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))
(* -1/9 (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))
(* -1/3 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)
2
(+ 2 (* -4/3 x))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(/ 3 x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/ 3 x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))
1/2
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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

eval364.0ms (4.3%)

Memory: -29.3MiB live, 260.5MiB allocated
Compiler: Compiled 32 762 to 2 577 computations (92.1% saved)

prune214.0ms (2.5%)

Memory

2.4MiB live, 201.2MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 115	5	1 120
Fresh	8	4	12
Picked	3	2	5
Done	0	2	2
Total	1 126	13	1 139

Accuracy

100.0%

Counts

1 139 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.8%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
▶	65.8%	(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
	65.5%	(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x)
	65.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) (*.f64 x x) x)
▶	65.7%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
	64.7%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
✓	65.5%	(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
▶	3.8%	(.f64 (.f64 #s(literal -1/2 binary64) x) x)
▶	4.9%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
	5.1%	(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
▶	5.1%	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	3.8%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	100.0%	(log1p.f64 x)

Compiler

Compiled 236 to 151 computations (36% saved)

simplify14.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/4 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	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	(*.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	(*.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) x) x)
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	640	(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))

Rules

260×	`lower-fma.f32`
250×	`lower-fma.f64`
238×	`lower-*.f32`
214×	`lower-*.f64`
108×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	120
0	45	118
1	81	111
2	125	110
3	185	110
4	268	110
5	284	110
6	284	110
0	284	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize126.0ms (1.5%)

Memory

-11.6MiB live, 143.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -1/4 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
✓	accuracy	80.4%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
✓	accuracy	100.0%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.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	100.0%	(.f64 (.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/3 binary64))

Samples

98.0ms

256×

valid

Compiler

Compiled 132 to 29 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 72.0ms (85.4% of total)

ival-add: 6.0ms (7.1% of total)

const: 4.0ms (4.7% of total)

ival-div: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series17.0ms (0.2%)

Memory

3.7MiB live, 42.2MiB allocated

Counts

18 → 216

Calls

Call 1

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

Outputs
#<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>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<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 (* 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 (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 (* 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 (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 (* -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 -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -2/9 x))) 1/2))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 9/8 (/ 1 x))))>
#<alt (* x (- (+ 1/4 (* 9/8 (/ 1 x))) (/ 27/16 (pow x 2))))>
#<alt (* x (- (+ 1/4 (+ (* 9/8 (/ 1 x)) (* 81/32 (/ 1 (pow x 3))))) (/ 27/16 (pow x 2))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 9/8 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x)) 1/4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 9/8 (* -1 (/ (- 27/16 (* 81/32 (/ 1 x))) x))) x)) 1/4)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt 2>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* x (- (* 8/9 x) 4/3)))>
#<alt (+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) 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 1/2>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (+ 1/2 (* 1/3 x))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/2 (/ 1 x))))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x x)
0.0ms	x	@	-inf	(* x -1/4)
0.0ms	x	@	-inf	(* x (* x (+ (* x 1/3) -1/2)))
0.0ms	x	@	inf	(* 1/3 (* x (* x x)))
0.0ms	x	@	inf	(* x (* x -1/4))

rewrite340.0ms (4%)

Memory

1.5MiB live, 683.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 198×	`lower-fma.f32`
10 188×	`lower-fma.f64`
5 538×	`lower-*.f32`
5 514×	`lower-*.f64`
3 340×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	104
0	45	101
1	150	95
2	899	94
0	8560	92

Stop Event

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

Counts

18 → 550

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(+.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) (.f64 x (-.f64 (.f64 x (*.f64 x #s(literal 1/3 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(fma.f64 x (.f64 x #s(literal -1/2 binary64)) (+.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x x) (+.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (+.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x x)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) x (+.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(fma.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64) (+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 1/4 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 1/4 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (/.f64 (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 x x) (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(fma.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) x) (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(fma.f64 (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) x) (/.f64 (.f64 x x) (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(fma.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/2 binary64)) 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 (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(fma.f64 (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) x) (/.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
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(fma.f64 (/.f64 (.f64 #s(literal 1/9 binary64) x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (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 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/9 binary64) 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)) (-.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)) #s(literal 1 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 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 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) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 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 x (-.f64 (.f64 #s(literal 1/9 binary64) 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 (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))))
(/.f64 (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 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))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 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 x (-.f64 (.f64 #s(literal 1/9 binary64) x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.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 (.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 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.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)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/19683 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 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 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 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))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 (*.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 (/.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 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 (.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)))))
(pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/6 binary64))))))
(.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))))
(.f64 (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 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.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))))

simplify352.0ms (4.1%)

Memory

18.7MiB live, 474.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 826×	`lower-fma.f64`
13 826×	`lower-fma.f32`
3 258×	`lower-*.f64`
3 258×	`lower-*.f32`
2 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1140
1	422	1124
2	1016	1120
3	3071	1104
4	7683	1104
0	8025	1026

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

Calls

Call 1

Inputs
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
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* 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))
(* 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 (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)
(* 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)
(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)
(* -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))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -2/9 x))) 1/2))))
(* 1/4 x)
(* x (+ 1/4 (* 9/8 (/ 1 x))))
(* x (- (+ 1/4 (* 9/8 (/ 1 x))) (/ 27/16 (pow x 2))))
(* x (- (+ 1/4 (+ (* 9/8 (/ 1 x)) (* 81/32 (/ 1 (pow x 3))))) (/ 27/16 (pow x 2))))
(* 1/4 x)
(* x (+ 1/4 (* 9/8 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x)) 1/4)))
(* -1 (* x (- (* -1 (/ (+ 9/8 (* -1 (/ (- 27/16 (* 81/32 (/ 1 x))) x))) x)) 1/4)))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
2
(+ 2 (* -4/3 x))
(+ 2 (* x (- (* 8/9 x) 4/3)))
(+ 2 (* x (- (* x (+ 8/9 (* -16/27 x))) 4/3)))
(/ 3 x)
(/ (- 3 (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (* 9/2 (/ 1 x))) x)
(/ (- (+ 3 (/ 27/4 (pow x 2))) (+ (* 9/2 (/ 1 x)) (* 81/8 (/ 1 (pow x 3))))) x)
(/ 3 x)
(* -1 (/ (- (* 9/2 (/ 1 x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* 27/4 (/ 1 x)) 9/2) x)) 3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2) x)) 3) x))
(* 1/3 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)
1/2
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(+ 1/2 (* 1/3 x))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))
(* x (+ 1/3 (* 1/2 (/ 1 x))))

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

eval102.0ms (1.2%)

Memory: 26.2MiB live, 182.1MiB allocated
Compiler: Compiled 17 347 to 1 725 computations (90.1% saved)

prune93.0ms (1.1%)

Memory

-2.0MiB live, 193.1MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	742	22	764
Fresh	1	3	4
Picked	5	0	5
Done	2	2	4
Total	750	27	777

Accuracy

100.0%

Counts

777 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.8%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
	65.5%	(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64))) x)
	65.5%	(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
	65.7%	(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64) x)
	65.5%	(fma.f64 (/.f64 (.f64 x #s(literal -1/4 binary64)) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
	66.3%	(fma.f64 (/.f64 (*.f64 x #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x x)
	65.5%	(fma.f64 (/.f64 x (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (/.f64 (.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
	65.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) (*.f64 x x) x)
	65.2%	(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
	65.5%	(fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
	66.3%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x) (.f64 x #s(literal -1/4 binary64)) x)
	66.3%	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x) x) #s(literal -1/4 binary64) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64))) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64))) (.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) x)
	38.8%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 3 binary64) x) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)))) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) x)
	65.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/4 binary64) (.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))))) x)
	38.8%	(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) x)
	64.7%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
	33.8%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (.f64 x x)) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 x)))
	66.3%	(*.f64 (fma.f64 x (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
	13.0%	(*.f64 x #s(literal 1/4 binary64))
✓	100.0%	(log1p.f64 x)

Compiler

Compiled 1 322 to 482 computations (63.5% saved)

regimes39.0ms (0.5%)

Memory

5.8MiB live, 80.8MiB allocated

Counts

48 → 1

Calls

Call 1

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

Outputs
(log1p.f64 x)

Calls

3 calls:

14.0ms	x
12.0ms	(+.f64 #s(literal 1 binary64) x)
10.0ms	(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)

regimes38.0ms (0.4%)

Memory

-9.5MiB live, 68.6MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
13.0ms	(+.f64 #s(literal 1 binary64) x)
10.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.2%)

Memory

-10.7MiB live, 27.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	(+.f64 #s(literal 1 binary64) x)
4.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-17.7MiB live, 20.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.5%	1	`x`
65.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
65.5%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(+.f64 #s(literal 1 binary64) x)
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
66.2%	2	`x`
66.2%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
66.2%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

-29.0MiB live, 12.1MiB allocated

Accuracy

Total -5.8b remaining (-10.5%)

Threshold costs -5.8b (-10.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/4 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)

Outputs
(*.f64 x #s(literal 1/4 binary64))

Calls

3 calls:

4.0ms	x
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
1.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
13.0%	1	`x`
13.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
13.0%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000002892955673	23.25410316641974

Compiler

Compiled 8 to 8 computations (0% saved)

simplify6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	59
1	36	59

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (19.3%)

Memory

46.3MiB live, 978.2MiB allocated

Rules

17 822×	`lower-fma.f64`
17 822×	`lower-fma.f32`
13 826×	`lower-fma.f64`
13 826×	`lower-fma.f32`
11 334×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	439
1	223	425
2	567	420
3	1788	418
4	4406	414
5	7002	414
0	8026	375
0	146	1140
1	422	1124
2	1016	1120
3	3071	1104
4	7683	1104
0	8025	1026
0	24	104
0	45	101
1	150	95
2	899	94
0	8560	92
0	9	27
0	20	27
1	81	27
2	567	27
3	6126	27
0	8009	27
0	235	1671
1	645	1645
2	1666	1628
3	5137	1620
0	8147	1466
0	4	7
0	6	7
1	22	7
2	131	7
3	984	7
0	8620	5
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 209 to 126 computations (39.7% saved)

preprocess57.0ms (0.7%)

Memory: -6.7MiB live, 150.5MiB allocated
Compiler: Compiled 170 to 80 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	120
0	45	118
1	81	111
2	125	110
3	185	110
4	268	110
5	284	110
6	284	110
0	284	108

Iter	Nodes	Cost
0	24	120
0	45	118
1	81	111
2	125	110
3	185	110
4	268	110
5	284	110
6	284	110
0	284	108

analyze1.0ms (0%)

sample398.0ms (4.7%)

preprocess14.0ms (0.2%)

explain52.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite340.0ms (4%)

simplify1.0s (11.7%)

eval93.0ms (1.1%)

prune49.0ms (0.6%)

simplify10.0ms (0.1%)

localize45.0ms (0.5%)

series5.0ms (0.1%)

rewrite400.0ms (4.7%)

simplify490.0ms (5.7%)

eval57.0ms (0.7%)

prune62.0ms (0.7%)

simplify562.0ms (6.6%)

localize258.0ms (3%)

series28.0ms (0.3%)

rewrite391.0ms (4.6%)

simplify794.0ms (9.3%)

eval364.0ms (4.3%)

prune214.0ms (2.5%)

simplify14.0ms (0.2%)

localize126.0ms (1.5%)

series17.0ms (0.2%)

rewrite340.0ms (4%)

simplify352.0ms (4.1%)

eval102.0ms (1.2%)

prune93.0ms (1.1%)

regimes39.0ms (0.5%)

regimes38.0ms (0.4%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness1.7s (19.3%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	120
0	45	118
1	81	111
2	125	110
3	185	110
4	268	110
5	284	110
6	284	110
0	284	108