Metrics for ln(1 + x)

analyze1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

sample356.0ms (3.1%)

Memory

26.7MiB live, 445.6MiB allocated

Samples

237.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-log1p: 85.0ms (91% of total)

ival-true: 6.0ms (6.4% of total)

ival-assert: 3.0ms (3.2% of total)

Bogosity

preprocess16.0ms (0.1%)

Memory

-19.5MiB live, 17.8MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	25	13
3	33	13
4	43	13
5	56	13
6	72	13
7	76	13
0	4	4
1	7	4
0	7	2

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 x))

Outputs
(log (+ 1 x))
(log1p.f64 x)

Call 2

Inputs
(log (+ 1 x))
(log (+ 1 (neg x)))
(neg (log (+ 1 (neg x))))

Outputs
(log (+ 1 x))
(log (+ 1 (neg x)))
(log (- 1 x))
(neg (log (+ 1 (neg x))))
(neg (log (- 1 x)))

explain48.0ms (0.4%)

Memory

29.2MiB live, 71.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
159	-	-	`(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	159	0

Confusion

	Predicted +	Predicted -
+	159	0
-	0	97

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	159	0	0
-	0	0	97

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	97
1	159

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

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

ival-log1p: 5.0ms (59% of total)

ival-add: 3.0ms (35.4% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.7%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`accelerator-lowering-log1p.f32`
2×	`log-lowering-log.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 x))
(+ 1 x)
1
x

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

localize17.0ms (0.1%)

Memory

-16.0MiB live, 21.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	42.7%	(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: 4.0ms

ival-log1p: 2.0ms (48.4% of total)

ival-add: 1.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (log (+ 1 x))>
#<alt (+ 1 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)

rewrite390.0ms (3.4%)

Memory

24.0MiB live, 495.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 606×	`accelerator-lowering-fma.f32`
6 606×	`accelerator-lowering-fma.f64`
4 022×	`/-lowering-/.f32`
4 022×	`/-lowering-/.f64`
3 648×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	20	7
2	129	7
3	980	7
0	8596	5

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 344

Calls

Call 1

Inputs
(log (+ 1 x))
(+ 1 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 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (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 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))) (log.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 x (+.f64 x #s(literal -1 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) 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) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x 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 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.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 (log.f64 (-.f64 #s(literal 1 binary64) (.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 (-.f64 #s(literal 1 binary64) (.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 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (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 (.f64 x (.f64 x x)) (.f64 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 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (log.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.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 (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (log.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (log.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #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))) (log.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.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 (log.f64 (-.f64 #s(literal 1 binary64) 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) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 0 binary64))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #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 x (+.f64 x #s(literal -1 binary64))) (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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) 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) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #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 x (+.f64 x #s(literal -1 binary64))) (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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) 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) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x 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 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.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 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x 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 (.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) (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 (-.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))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 #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 x #s(literal -1 binary64)) #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 x #s(literal -1 binary64)) #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)))

simplify1.1s (10%)

Memory

-21.3MiB live, 580.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 822×	`accelerator-lowering-fma.f32`
17 822×	`accelerator-lowering-fma.f64`
2 868×	`+-lowering-+.f64`
2 868×	`+-lowering-+.f32`
2 630×	`-lowering-.f32`

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 → 24

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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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))

eval49.0ms (0.4%)

Memory: -0.9MiB live, 107.9MiB allocated
Compiler: Compiled 11 389 to 1 112 computations (90.2% saved)

prune48.0ms (0.4%)

Memory

21.7MiB live, 142.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	362	6	368
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	363	6	369

Accuracy

100.0%

Counts

369 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶	63.4%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶	62.1%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
	5.8%	(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
▶	100.0%	(log1p.f64 x)
▶	63.3%	x

Compiler

Compiled 100 to 72 computations (28% saved)

simplify50.0ms (0.4%)

Memory

-45.0MiB live, 91.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	cost-diff	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	cost-diff	(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	cost-diff	(log1p.f64 x)

Rules

1 412×	`accelerator-lowering-fma.f32`
1 412×	`accelerator-lowering-fma.f64`
526×	`distribute-lft-in`
396×	`+-lowering-+.f64`
396×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	100
1	75	100
2	172	100
3	372	100
4	756	100
5	1087	100
6	1087	100
0	1087	82

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 x))
x
x
(+ (* x (+ (* x -1/2) 1)) 0)
x
(+ (* x -1/2) 1)
-1/2
1
0
(+ (* x (+ (* x (+ (* x 1/3) -1/2)) 1)) 0)
x
(+ (* x (+ (* x 1/3) -1/2)) 1)
(+ (* x 1/3) -1/2)
1/3
-1/2
1
0
(+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)
x
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
1
0

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

localize72.0ms (0.6%)

Memory

8.5MiB live, 162.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(log1p.f64 x)

Samples

46.0ms

256×

valid

Compiler

Compiled 87 to 27 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 13.0ms (38.3% of total)

ival-add: 12.0ms (35.4% of total)

ival-log1p: 5.0ms (14.7% of total)

const: 4.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (log (+ 1 x))>
#<alt (+ (* x (+ (* x -1/2) 1)) 0)>
#<alt (+ (* x -1/2) 1)>
#<alt (+ (* x (+ (* x (+ (* x 1/3) -1/2)) 1)) 0)>
#<alt (+ (* x (+ (* x 1/3) -1/2)) 1)>
#<alt (+ (* x 1/3) -1/2)>
#<alt (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)>
#<alt (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)>
#<alt (+ (* x (+ (* x -1/4) 1/3)) -1/2)>
#<alt (+ (* x -1/4) 1/3)>

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

Calls

30 calls:

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

rewrite725.0ms (6.4%)

Memory

17.5MiB live, 906.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 772×	`accelerator-lowering-fma.f32`
4 772×	`accelerator-lowering-fma.f64`
4 558×	`/-lowering-/.f32`
4 558×	`/-lowering-/.f64`
4 180×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	83
1	187	83
2	1830	83
0	8294	65

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 952

Calls

Call 1

Inputs
(log (+ 1 x))
(+ (* x (+ (* x -1/2) 1)) 0)
(+ (* x -1/2) 1)
(+ (* x (+ (* x (+ (* x 1/3) -1/2)) 1)) 0)
(+ (* x (+ (* x 1/3) -1/2)) 1)
(+ (* x 1/3) -1/2)
(+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (log.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))
(log1p.f64 x)
(+.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal 0 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (-.f64 x #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 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)))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal 0 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (-.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (+.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (-.f64 x #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 (.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)) (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)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 (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)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/4 binary64) (.f64 x x)) (-.f64 (.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 #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #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 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/12 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/12 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))

simplify658.0ms (5.8%)

Memory

-1.8MiB live, 767.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 010×	`accelerator-lowering-fma.f32`
14 010×	`accelerator-lowering-fma.f64`
2 926×	`-lowering-.f32`
2 926×	`-lowering-.f64`
2 714×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	893
1	385	866
2	1181	854
3	4073	840
4	7910	840
0	8305	729

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

eval203.0ms (1.8%)

Memory: 23.5MiB live, 265.1MiB allocated
Compiler: Compiled 39 575 to 2 438 computations (93.8% saved)

prune128.0ms (1.1%)

Memory

4.9MiB live, 358.2MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 064	8	1 072
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	1 067	11	1 078

Accuracy

100.0%

Counts

1 078 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
	63.4%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
▶	62.1%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
▶	62.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x)))
	5.8%	(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
▶	63.4%	(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
▶	34.7%	(.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))))
	34.7%	(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	62.3%	(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	100.0%	(log1p.f64 x)
✓	63.3%	x

Compiler

Compiled 421 to 181 computations (57% saved)

simplify761.0ms (6.7%)

Memory

-10.2MiB live, 940.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
✓	cost-diff	4480	(.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x)))
✓	cost-diff	2560	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
✓	cost-diff	-64	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)

Rules

12 494×	`accelerator-lowering-fma.f32`
12 494×	`accelerator-lowering-fma.f64`
3 582×	`-lowering-.f32`
3 582×	`-lowering-.f64`
3 038×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	399
1	109	399
2	389	399
3	1820	349
4	5138	349
5	7123	349
0	8786	287

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x (* x (+ (* x 1/3) -1/2))) x)
(* x (* x (+ (* x 1/3) -1/2)))
x
(* x (+ (* x 1/3) -1/2))
(+ (* x 1/3) -1/2)
1/3
-1/2
(+ (* (* x x) -1/2) x)
(* x x)
x
-1/2
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
x
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
(* x x)
(/ 1 (/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x)))
1
(/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x))
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1)
x
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
-1
(* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x)
(+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1)
(* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))
(* (+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0) (/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)))
(+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0)
x
(* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
1
(+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)
0
(/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))

Outputs
(+ (* x (* x (+ (* x 1/3) -1/2))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* x (+ (* x 1/3) -1/2)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
x
(* x (+ (* x 1/3) -1/2))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(+ (* x 1/3) -1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* x x) -1/2) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
-1/2
#s(literal -1/2 binary64)
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
x
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(/ 1 (/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x)))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
x
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x)
(fma.f64 x (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1)
(fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(* (+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0) (/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0)
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))

localize186.0ms (1.6%)

Memory

21.0MiB live, 253.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
✓	accuracy	39.6%	(.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x)))
✓	accuracy	71.4%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
✓	accuracy	99.9%	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))

Samples

74.0ms

256×

valid

Compiler

Compiled 369 to 38 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 21.0ms (37.5% of total)

ival-div: 18.0ms (32.2% of total)

ival-add: 12.0ms (21.5% of total)

const: 4.0ms (7.2% of total)

exact: 1.0ms (1.8% of total)

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

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

series12.0ms (0.1%)

Memory

-15.4MiB live, 21.1MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (+ (* x (* x (+ (* x 1/3) -1/2))) x)>
#<alt (* x (+ (* x 1/3) -1/2))>
#<alt (+ (* x 1/3) -1/2)>
#<alt (* x (* x (+ (* x 1/3) -1/2)))>
#<alt (+ (* (* x x) -1/2) x)>
#<alt (* x x)>
#<alt (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)>
#<alt (+ (* x (+ (* x -1/4) 1/3)) -1/2)>
#<alt (+ (* x -1/4) 1/3)>
#<alt (/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x))>
#<alt (/ 1 (/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x)))>
#<alt (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1)>
#<alt (* (+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0) (/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)))>
#<alt (+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0)>
#<alt (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)>
#<alt (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))>
#<alt (/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))>
#<alt (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))>

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 (* -1/2 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 (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* 1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/2 (/ 1 x)) x))) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))>
#<alt (* 1/16 (pow x 8))>
#<alt (* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 5/6 (/ 1 (pow x 3))))))>
#<alt (* 1/16 (pow x 8))>
#<alt (* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))>
#<alt (* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 5/6 (/ 1 x))) x))) x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- (* 11/12 x) 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))>
#<alt (* 1/16 (pow x 7))>
#<alt (* (pow x 7) (- 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 7) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 7) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 5/6 (/ 1 (pow x 3))))))>
#<alt (* 1/16 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/6 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (- (* 13/36 (/ 1 x)) 1/6) x)) 1/16)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 x)) 13/36) x)) 1/6) x)) 1/16)))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))
1.0ms	x	@	0	(/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x))
0.0ms	x	@	inf	(/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x))
0.0ms	x	@	-inf	(/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x))
0.0ms	x	@	inf	(+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0)

rewrite637.0ms (5.6%)

Memory

61.8MiB live, 1 270.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 158×	`accelerator-lowering-fma.f32`
6 158×	`accelerator-lowering-fma.f64`
3 930×	`-lowering-.f32`
3 930×	`-lowering-.f64`
3 244×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	260
1	259	218
2	2433	206
0	8221	168

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 782

Calls

Call 1

Inputs
(+ (* x (* x (+ (* x 1/3) -1/2))) x)
(* x (+ (* x 1/3) -1/2))
(+ (* x 1/3) -1/2)
(* x (* x (+ (* x 1/3) -1/2)))
(+ (* (* x x) -1/2) x)
(* x x)
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
(/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x))
(/ 1 (/ (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1) (* (+ (* (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))) -1) x)))
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) -1)
(* (+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0) (/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0)))
(+ (* x (* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))) 0)
(+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)
(* x (+ (* x (+ (* x -1/4) 1/3)) -1/2))
(/ 1 (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))
(* (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1) (+ (* x (+ (* x (+ (* x (+ (* x -1/4) 1/3)) -1/2)) 1)) 0))

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 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x))) (-.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 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 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) (neg.f64 x)) (.f64 (.f64 (fma.f64 x (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) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (.f64 x x))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) (neg.f64 x)) (.f64 (.f64 (fma.f64 x (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) (neg.f64 x)))))
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simplify387.0ms (3.4%)

Memory

-1.7MiB live, 742.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 082×	`accelerator-lowering-fma.f32`
8 082×	`accelerator-lowering-fma.f64`
3 730×	`-lowering-.f32`
3 730×	`-lowering-.f64`
3 354×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	1974
1	722	1892
2	1996	1862
3	5292	1842
0	8617	1752

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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)))
(* -1/2 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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* 1/3 x) 1/2)) 1)
(- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1)
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/2 (/ 1 x)) x))) x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 5/6 (/ 1 (pow x 3))))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 5/6 (/ 1 x))) x))) x))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- (* 11/12 x) 1))))
(* x (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(* 1/16 (pow x 7))
(* (pow x 7) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 7) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 7) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 5/6 (/ 1 (pow x 3))))))
(* 1/16 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/6 (/ 1 x)) 1/16)))
(* -1 (* (pow x 7) (- (* -1 (/ (- (* 13/36 (/ 1 x)) 1/6) x)) 1/16)))
(* -1 (* (pow x 7) (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 x)) 13/36) x)) 1/6) x)) 1/16)))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #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 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/3 x) 1/2))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* x (- (* 1/3 x) 1/2))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* x (- (* 1/3 x) 1/2))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #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))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #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 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
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(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 8/9 binary64) (/.f64 #s(literal -112/27 binary64) x)) (/.f64 #s(literal -16/3 binary64) x)) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ -4 (pow x 4))
(/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal -16/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8/9 binary64) (/.f64 #s(literal -112/27 binary64) x)) x) #s(literal -16/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- (* 11/12 x) 1))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* 1/16 (pow x 7))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- 1/16 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -13/36 binary64) x)) x)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 5/6 (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 13/36 binary64) (/.f64 #s(literal -5/6 binary64) x)) x) #s(literal -1/6 binary64)) x)))
(* 1/16 (pow x 7))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/6 (/ 1 x)) 1/16)))
(*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (- (* 13/36 (/ 1 x)) 1/6) x)) 1/16)))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -13/36 binary64) x)) x)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 x)) 13/36) x)) 1/6) x)) 1/16)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 13/36 binary64) (/.f64 #s(literal -5/6 binary64) x)) x) #s(literal -1/6 binary64)) x)))

eval488.0ms (4.3%)

Memory: 44.9MiB live, 935.1MiB allocated
Compiler: Compiled 138 013 to 5 384 computations (96.1% saved)

prune308.0ms (2.7%)

Memory

-59.9MiB live, 551.5MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	2 678	4	2 682
Fresh	2	2	4
Picked	2	3	5
Done	0	2	2
Total	2 682	11	2 693

Accuracy

100.0%

Counts

2 693 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.4%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
▶	63.4%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	62.1%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
▶	63.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
▶	62.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
▶	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
▶	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	5.8%	(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
✓	63.4%	(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
✓	100.0%	(log1p.f64 x)
✓	63.3%	x

Compiler

Compiled 164 to 108 computations (34.1% saved)

simplify483.0ms (4.3%)

Memory

7.6MiB live, 664.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	0	(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))

Rules

10 190×	`accelerator-lowering-fma.f32`
10 190×	`accelerator-lowering-fma.f64`
4 810×	`-lowering-.f32`
4 810×	`-lowering-.f64`
2 544×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	158
1	75	152
2	217	152
3	464	152
4	786	152
5	1212	146
6	1679	146
7	2471	146
8	3704	146
9	4884	146
10	5275	146
11	5715	146
12	6271	146
0	8070	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ (* x 1/2) 1) x))
1
(/ (+ (* x 1/2) 1) x)
(+ (* x 1/2) 1)
x
1/2
(+ (* (+ (* x 1/3) -1/2) (* x x)) x)
(+ (* x 1/3) -1/2)
x
1/3
-1/2
(* x x)
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(/ 1 (/ (+ (* x (+ (* x -1/12) 1/2)) 1) x))
1
(/ (+ (* x (+ (* x -1/12) 1/2)) 1) x)
(+ (* x (+ (* x -1/12) 1/2)) 1)
x
(+ (* x -1/12) 1/2)
-1/12
1/2
(/ 1 (/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x))
1
(/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x)
(+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1)
x
(+ (* x (+ (* x 1/24) -1/12)) 1/2)
(+ (* x 1/24) -1/12)
1/24
-1/12
1/2

Outputs
(/ 1 (/ (+ (* x 1/2) 1) x))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* x 1/2) 1) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ (* x 1/2) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ (* (+ (* x 1/3) -1/2) (* x x)) x)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (* x 1/3) -1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
x
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ 1 (/ (+ (* x (+ (* x -1/12) 1/2)) 1) x))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* x (+ (* x -1/12) 1/2)) 1) x)
(+.f64 (fma.f64 x #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* x (+ (* x -1/12) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(+ (* x -1/12) 1/2)
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
-1/12
#s(literal -1/12 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x))
(/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x)
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(+ (* x (+ (* x 1/24) -1/12)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+ (* x 1/24) -1/12)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
1/24
#s(literal 1/24 binary64)
-1/12
#s(literal -1/12 binary64)
1/2
#s(literal 1/2 binary64)

localize119.0ms (1.1%)

Memory

15.9MiB live, 168.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	95.6%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	81.0%	(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))

Samples

65.0ms

256×

valid

Compiler

Compiled 139 to 34 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 17.0ms (33.6% of total)

ival-div: 13.0ms (25.7% of total)

ival-add: 11.0ms (21.8% of total)

const: 9.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (* x 1/2) 1) x))>
#<alt (/ (+ (* x 1/2) 1) x)>
#<alt (+ (* x 1/2) 1)>
#<alt (+ (* (+ (* x 1/3) -1/2) (* x x)) x)>
#<alt (+ (* x 1/3) -1/2)>
#<alt (* x x)>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 1 (/ (+ (* x (+ (* x -1/12) 1/2)) 1) x))>
#<alt (/ (+ (* x (+ (* x -1/12) 1/2)) 1) x)>
#<alt (+ (* x (+ (* x -1/12) 1/2)) 1)>
#<alt (+ (* x -1/12) 1/2)>
#<alt (/ 1 (/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x))>
#<alt (/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x)>
#<alt (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1)>
#<alt (+ (* x (+ (* x 1/24) -1/12)) 1/2)>
#<alt (+ (* x 1/24) -1/12)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))>
#<alt (/ -12 x)>
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)>
#<alt (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)>
#<alt (/ -12 x)>
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (* -1/12 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* x (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* x (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* -1/12 x)>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* x (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (* -1/12 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* -1/12 x)>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (+ 24 (* 48 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 24 (* 48 (/ 1 x))) (/ 192 (pow x 2))) (pow x 2))>
#<alt (/ (+ 24 (+ (* -1 (/ (+ 192 (* 1536 (/ 1 x))) (pow x 2))) (* 48 (/ 1 x)))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (+ 24 (* 48 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 24 (* -1 (/ (- (* 192 (/ 1 x)) 48) x))) (pow x 2))>
#<alt (/ (+ 24 (* -1 (/ (- (+ (* 192 (/ 1 x)) (/ 1536 (pow x 2))) 48) x))) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/12 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x))) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/12 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/12 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/12) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/12)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/12)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))>
#<alt -1/12>
#<alt (- (* 1/24 x) 1/12)>
#<alt (- (* 1/24 x) 1/12)>
#<alt (- (* 1/24 x) 1/12)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/12 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ (* x (+ (* x -1/12) 1/2)) 1) x)
1.0ms	x	@	-inf	(/ 1 (/ (+ (* x (+ (* x -1/12) 1/2)) 1) x))
0.0ms	x	@	-inf	(/ 1 (/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x))
0.0ms	x	@	inf	(/ 1 (/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x))
0.0ms	x	@	inf	(/ 1 (/ (+ (* x (+ (* x -1/12) 1/2)) 1) x))

rewrite617.0ms (5.4%)

Memory

14.8MiB live, 869.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 008×	`accelerator-lowering-fma.f32`
5 008×	`accelerator-lowering-fma.f64`
4 318×	`/-lowering-/.f32`
4 318×	`/-lowering-/.f64`
4 252×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	141
1	219	135
2	1958	135
0	8621	110

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 947

Calls

Call 1

Inputs
(/ 1 (/ (+ (* x 1/2) 1) x))
(/ (+ (* x 1/2) 1) x)
(+ (* x 1/2) 1)
(+ (* (+ (* x 1/3) -1/2) (* x x)) x)
(+ (* x 1/3) -1/2)
(* x x)
(/ 1 (/ 1 x))
(/ 1 x)
(/ 1 (/ (+ (* x (+ (* x -1/12) 1/2)) 1) x))
(/ (+ (* x (+ (* x -1/12) 1/2)) 1) x)
(+ (* x (+ (* x -1/12) 1/2)) 1)
(+ (* x -1/12) 1/2)
(/ 1 (/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x))
(/ (+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1) x)
(+ (* x (+ (* x (+ (* x 1/24) -1/12)) 1/2)) 1)
(+ (* x (+ (* x 1/24) -1/12)) 1/2)
(+ (* x 1/24) -1/12)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (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)) x)
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
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(pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/144 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/144 binary64)) (*.f64 x #s(literal -1/288 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/12 binary64))))

simplify636.0ms (5.6%)

Memory

-31.0MiB live, 774.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 902×	`accelerator-lowering-fma.f32`
10 902×	`accelerator-lowering-fma.f64`
3 824×	`-lowering-.f32`
3 824×	`-lowering-.f64`
2 762×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	1388
1	676	1356
2	1753	1300
3	5403	1224
0	8352	1086

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))
(/ -12 x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)
(/ -12 x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(* -1/12 x)
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* -1/12 x)
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))
(* -1 (* x (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
1/2
(+ 1/2 (* -1/12 x))
(+ 1/2 (* -1/12 x))
(+ 1/2 (* -1/12 x))
(* -1/12 x)
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* -1/12 x)
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(/ 24 (pow x 2))
(/ (+ 24 (* 48 (/ 1 x))) (pow x 2))
(/ (- (+ 24 (* 48 (/ 1 x))) (/ 192 (pow x 2))) (pow x 2))
(/ (+ 24 (+ (* -1 (/ (+ 192 (* 1536 (/ 1 x))) (pow x 2))) (* 48 (/ 1 x)))) (pow x 2))
(/ 24 (pow x 2))
(/ (+ 24 (* 48 (/ 1 x))) (pow x 2))
(/ (+ 24 (* -1 (/ (- (* 192 (/ 1 x)) 48) x))) (pow x 2))
(/ (+ 24 (* -1 (/ (- (+ (* 192 (/ 1 x)) (/ 1536 (pow x 2))) 48) x))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/12 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x))) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/12 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/12 (/ 1 x))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/12 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/12) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12) x)) 1/24)))
1/2
(+ 1/2 (* -1/12 x))
(+ 1/2 (* x (- (* 1/24 x) 1/12)))
(+ 1/2 (* x (- (* 1/24 x) 1/12)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))
-1/12
(- (* 1/24 x) 1/12)
(- (* 1/24 x) 1/12)
(- (* 1/24 x) 1/12)
(* 1/24 x)
(* x (- 1/24 (* 1/12 (/ 1 x))))
(* x (- 1/24 (* 1/12 (/ 1 x))))
(* x (- 1/24 (* 1/12 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/24 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/ -12 x)
(/.f64 #s(literal -12 binary64) x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -576 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (/.f64 #s(literal 4320 binary64) x)) x)) x)) x)
(/ -12 x)
(/.f64 #s(literal -12 binary64) x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -576 binary64) x)) x)) x)
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (/.f64 #s(literal 4320 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(fma.f64 x #s(literal -1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(fma.f64 x #s(literal -1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))
(fma.f64 x #s(literal -1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))
(fma.f64 x #s(literal -1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* -1/12 (pow x 2))
(.f64 x (.f64 x #s(literal -1/12 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* -1/12 (pow x 2))
(.f64 x (.f64 x #s(literal -1/12 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 x))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/12 x))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/12 x))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (+ 24 (* 48 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 48 binary64) x)) (*.f64 x x))
(/ (- (+ 24 (* 48 (/ 1 x))) (/ 192 (pow x 2))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -48 binary64)) x)) (*.f64 x x))
(/ (+ 24 (+ (* -1 (/ (+ 192 (* 1536 (/ 1 x))) (pow x 2))) (* 48 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (-.f64 #s(literal -192 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x)) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (+ 24 (* 48 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 48 binary64) x)) (*.f64 x x))
(/ (+ 24 (* -1 (/ (- (* 192 (/ 1 x)) 48) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -48 binary64)) x)) (*.f64 x x))
(/ (+ 24 (* -1 (/ (- (+ (* 192 (/ 1 x)) (/ 1536 (pow x 2))) 48) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 48 binary64) (/.f64 (-.f64 #s(literal -192 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(fma.f64 x #s(literal -1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/12 (/ 1 x))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (+ 1/12 (* -1 (/ (+ 1/2 (/ 1 x)) x))) x))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (- 1/24 (* 1/12 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/12 (/ 1 x))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* -1 (* (pow x 3) (- (* 1/12 (/ 1 x)) 1/24)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/12) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 x))
(fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/12)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/12)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/12 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
-1/12
#s(literal -1/12 binary64)
(- (* 1/24 x) 1/12)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(- (* 1/24 x) 1/12)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(- (* 1/24 x) 1/12)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (- 1/24 (* 1/12 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(* x (- 1/24 (* 1/12 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(* x (- 1/24 (* 1/12 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))
(* -1 (* x (- (* 1/12 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64))

eval510.0ms (4.5%)

Memory: -1.3MiB live, 345.2MiB allocated
Compiler: Compiled 27 284 to 3 454 computations (87.3% saved)

prune339.0ms (3%)

Memory

-15.5MiB live, 312.2MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 139	12	1 151
Fresh	0	1	1
Picked	4	1	5
Done	1	4	5
Total	1 144	18	1 162

Accuracy

100.0%

Counts

1 162 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.4%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	63.4%	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓	62.1%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
	63.8%	(/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	63.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) x))
	64.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x))
	64.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (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)))) x))
	22.9%	(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))))
	67.0%	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
	63.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) x)))
	64.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)))
	5.8%	(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
	63.6%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
	63.8%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
	63.3%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(log1p.f64 x)
✓	63.3%	x
	7.7%	#s(literal 2 binary64)

Compiler

Compiled 724 to 269 computations (62.8% saved)

regimes42.0ms (0.4%)

Memory

5.7MiB live, 45.2MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 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 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.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 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (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)))) x))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x)))
(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
(log1p.f64 x)

Calls

3 calls:

24.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
9.0ms	x
7.0ms	(+.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes37.0ms (0.3%)

Memory

-2.8MiB live, 36.1MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 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 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.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 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (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)))) x))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x)))
(.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))))

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

Calls

3 calls:

21.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
8.0ms	x
7.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
67.0%	1	`x`
67.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.0%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 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 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.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 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.5%	2	`x`
67.5%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.5%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes39.0ms (0.3%)

Memory

-17.4MiB live, 20.2MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 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 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.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 #s(literal 1 binary64) x))

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

Calls

3 calls:

32.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms	x
3.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
67.3%	2	`x`
67.3%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.3%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.2%	2	`x`
67.2%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.2%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.4%)

Memory

-26.3MiB live, 13.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))

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

Calls

3 calls:

38.0ms	x
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
67.1%	2	`x`
67.1%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
67.1%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
x

Outputs
x
#s(literal 2 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.7%	2	`x`
66.7%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
66.7%	2	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
7.7%	1	`x`
7.7%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
7.7%	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	1.4672333007015075	65.59127965966543

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4672333007015075	65.59127965966543

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4672333007015075	65.59127965966543

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4672333007015075	65.59127965966543

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4672333007015075	65.59127965966543

Compiler

Compiled 8 to 8 computations (0% saved)

simplify10.0ms (0.1%)

Memory

-24.7MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	83
1	34	83

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (14.8%)

Memory

2.5MiB live, 995.8MiB allocated

Rules

17 822×	`accelerator-lowering-fma.f32`
17 822×	`accelerator-lowering-fma.f64`
10 902×	`accelerator-lowering-fma.f32`
10 902×	`accelerator-lowering-fma.f64`
8 082×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	1388
1	676	1356
2	1753	1300
3	5403	1224
0	8352	1086
0	4	7
1	20	7
2	129	7
3	980	7
0	8596	5
0	26	83
1	187	83
2	1830	83
0	8294	65
0	247	1974
1	722	1892
2	1996	1862
3	5292	1842
0	8617	1752
0	62	169
1	171	155
2	363	150
3	980	148
4	2419	144
5	4413	144
6	5329	144
7	6636	144
8	7416	144
9	7564	144
10	7608	144
11	7610	144
12	7610	144
13	7853	144
14	7970	144
15	7978	144
16	7986	144
17	7986	144
0	8425	138

Stop Event

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

Compiler

Compiled 366 to 229 computations (37.4% saved)

preprocess63.0ms (0.6%)

Memory: 6.9MiB live, 157.8MiB allocated
Compiler: Compiled 218 to 84 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample356.0ms (3.1%)

preprocess16.0ms (0.1%)

explain48.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize17.0ms (0.1%)

series1.0ms (0%)

rewrite390.0ms (3.4%)

simplify1.1s (10%)

eval49.0ms (0.4%)

prune48.0ms (0.4%)

simplify50.0ms (0.4%)

localize72.0ms (0.6%)

series6.0ms (0.1%)

rewrite725.0ms (6.4%)

simplify658.0ms (5.8%)

eval203.0ms (1.8%)

prune128.0ms (1.1%)

simplify761.0ms (6.7%)

localize186.0ms (1.6%)

series12.0ms (0.1%)

rewrite637.0ms (5.6%)

simplify387.0ms (3.4%)

eval488.0ms (4.3%)

prune308.0ms (2.7%)

simplify483.0ms (4.3%)

localize119.0ms (1.1%)

series10.0ms (0.1%)

rewrite617.0ms (5.4%)

simplify636.0ms (5.6%)

eval510.0ms (4.5%)

prune339.0ms (3%)

regimes42.0ms (0.4%)

regimes37.0ms (0.3%)

regimes10.0ms (0.1%)

regimes39.0ms (0.3%)

regimes6.0ms (0.1%)

regimes42.0ms (0.4%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.7s (14.8%)

preprocess63.0ms (0.6%)

end0.0ms (0%)

Profiling