Metrics for Hyperbolic arcsine

analyze86.0ms (0.8%)

Memory

2.0MiB live, 83.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.6s (24.8%)

Memory

16.7MiB live, 2 204.2MiB allocated

Samples

930.0ms	1 542×	2	valid
908.0ms	4 478×	1	valid
196.0ms	2 236×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log: 1.1s (63.2% of total)

ival-hypot: 418.0ms (24.8% of total)

ival-add: 96.0ms (5.7% of total)

adjust: 85.0ms (5% of total)

exact: 11.0ms (0.7% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess31.0ms (0.3%)

Memory

-12.6MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`distribute-lft-neg-in`
28×	`sub-neg`
26×	`associate--r+`
24×	`neg-mul-1`
22×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	23	19
2	48	19
3	88	19
4	137	19
5	184	19
6	211	19
7	214	19
0	7	9
0	12	9
1	16	9
0	16	8

Stop Event

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

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

explain287.0ms (2.7%)

Memory

29.6MiB live, 266.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
62	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
58	-	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	137	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	62	0
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	62
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	58	0

Confusion

	Predicted +	Predicted -
+	228	0
-	0	28

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	228	0	0
-	0	0	28

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	28
1	199
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

99.0ms	276×	1	valid
57.0ms	106×	2	valid
10.0ms	130×	0	valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-log: 99.0ms (68.1% of total)

ival-hypot: 21.0ms (14.4% of total)

ival-add: 11.0ms (7.6% of total)

adjust: 8.0ms (5.5% of total)

ival-mult: 5.0ms (3.4% of total)

exact: 1.0ms (0.7% of total)

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

ival-true: 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.0%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Memory

-32.0MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	0	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	cost-diff	128	(+.f64 (*.f64 x x) #s(literal 1 binary64))

Rules

8×	`lower-+.f32`
4×	`lift-+.f64`
4×	`lower-+.f64`
4×	`+-commutative`
2×	`lift-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	16	33
0	16	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize67.0ms (0.6%)

Memory

22.9MiB live, 137.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	78.5%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	77.3%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	50.7%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

25.0ms	53×	2	valid
25.0ms	138×	1	valid
6.0ms	65×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 21.0ms (47.4% of total)

ival-hypot: 12.0ms (27.1% of total)

ival-add: 5.0ms (11.3% of total)

adjust: 4.0ms (9% of total)

ival-mult: 2.0ms (4.5% of total)

exact: 0.0ms (0% of total)

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

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

series5.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (+ (* x x) 1))))
0.0ms	x	@	inf	(+ (* x x) 1)
0.0ms	x	@	-inf	(+ x (sqrt (+ (* x x) 1)))

rewrite355.0ms (3.4%)

Memory

-17.5MiB live, 585.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 062×	`lower-fma.f64`
6 062×	`lower-fma.f32`
3 598×	`lower-*.f32`
3 596×	`lower-*.f64`
2 994×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	31
1	44	31
2	297	31
3	3155	31
0	8738	27

Stop Event

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

Counts

5 → 363

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log1p.f64 (*.f64 x x)))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64)))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
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(.f64 (pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x x))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log1p.f64 (.f64 x x)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.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 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.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) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))

simplify534.0ms (5.1%)

Memory

15.6MiB live, 500.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
4 124×	`lower-+.f64`
4 124×	`lower-+.f32`
2 226×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x 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)
(pow x 2)
(*.f64 x x)

eval163.0ms (1.5%)

Memory: -13.6MiB live, 102.7MiB allocated
Compiler: Compiled 11 948 to 1 635 computations (86.3% saved)

prune269.0ms (2.6%)

Memory

-11.8MiB live, 115.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	415	6	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	416	6	422

Accuracy

100.0%

Counts

422 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
▶	53.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
	25.4%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
▶	23.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	11.6%	(log.f64 (+.f64 x #s(literal 1 binary64)))
▶	24.4%	(log.f64 (*.f64 x #s(literal 2 binary64)))

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify16.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	192	(log.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 3/40 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)

Rules

320×	`lower-fma.f32`
314×	`lower-fma.f64`
244×	`lower-*.f32`
234×	`lower-*.f64`
138×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	35	71
1	57	71
2	83	71
3	140	71
4	224	71
5	244	71
6	244	71
7	321	71
8	322	71
0	322	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x

Outputs
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log1p.f64 x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x

localize206.0ms (2%)

Memory

-26.5MiB live, 129.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3/40 binary64))

Samples

171.0ms

256×

invalid

Compiler

Compiled 78 to 24 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

const: 101.0ms (63.7% of total)

ival-log: 27.0ms (17% of total)

ival-add: 13.0ms (8.2% of total)

ival-mult: 13.0ms (8.2% of total)

ival-div: 2.0ms (1.3% of total)

ival-log1p: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series226.0ms (2.1%)

Memory

32.0MiB live, 188.4MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal 3/40 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (log.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (log.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (log.f64 (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt 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)))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>

Calls

39 calls:

Time	Variable		Point	Expression
65.0ms	x	@	-inf	(log (/ -1/2 x))
47.0ms	x	@	0	(log (* x 2))
46.0ms	x	@	inf	(log (* x 2))
37.0ms	x	@	0	(log (/ -1/2 x))
17.0ms	x	@	-inf	(log (* x 2))

rewrite377.0ms (3.6%)

Memory

5.4MiB live, 682.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 234×	`lower-fma.f32`
10 228×	`lower-fma.f64`
5 272×	`lower-*.f32`
5 262×	`lower-*.f64`
2 908×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
0	35	57
1	115	57
2	684	57
3	7307	57
0	8025	54

Stop Event

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

Counts

13 → 506

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
(.f64 x (.f64 x x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x x)
(*.f64 x #s(literal -1/6 binary64))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)

Outputs
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) x)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(+.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(+.f64 (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (+.f64 x (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) x)
(fma.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 x #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x x))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3/40 binary64) (.f64 x x)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) x)
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/80 binary64)) #s(literal 1/36 binary64))) (.f64 x (*.f64 x x))) x)
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/80 binary64)) #s(literal 1/36 binary64))) x)
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x x))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x x)) (.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x x)))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x x))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x)
(fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x)))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(fma.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x x)))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (neg.f64 (.f64 x (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x)))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 3/40 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x x))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)) (.f64 x (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x)))) x)) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)))) (.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
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(.f64 #s(literal -1 binary64) (log.f64 (.f64 x #s(literal -2 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 #s(literal -1/2 binary64) x)) (pow.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))

simplify265.0ms (2.5%)

Memory

4.8MiB live, 561.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 210×	`lower-fma.f64`
10 210×	`lower-fma.f32`
2 560×	`lower-*.f64`
2 560×	`lower-*.f32`
2 154×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	839
1	291	789
2	667	784
3	1882	782
4	4706	770
5	7388	770
0	8112	741

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 151

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
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)))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* -1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* -1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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)
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (log.f64 x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) x) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 (neg.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (log.f64 #s(literal -1 binary64))))
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))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log 1/2) (log (/ -1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(+ (log 1/2) (log (/ -1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(+ (log 1/2) (log (/ -1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(+ (log 1/2) (log (/ -1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)

eval85.0ms (0.8%)

Memory: -22.4MiB live, 209.7MiB allocated
Compiler: Compiled 18 095 to 1 416 computations (92.2% saved)

prune68.0ms (0.6%)

Memory

-2.5MiB live, 202.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	673	4	677
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	676	7	683

Accuracy

100.0%

Counts

683 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
✓	53.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
▶	53.9%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
▶	23.2%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
▶	60.3%	(log1p.f64 x)
▶	25.4%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	24.4%	(log.f64 (*.f64 x #s(literal 2 binary64)))

Compiler

Compiled 82 to 55 computations (32.9% saved)

simplify13.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

224×	`lower-fma.f32`
216×	`lower-fma.f64`
158×	`lower-*.f32`
152×	`lower-*.f64`
68×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	36	66
1	61	66
2	97	66
3	136	66
4	154	66
5	158	66
6	226	66
7	227	66
0	227	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (0.6%)

Memory

-25.3MiB live, 171.7MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

44.0ms

256×

invalid

Compiler

Compiled 68 to 24 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (39.4% of total)

ival-add: 4.0ms (13.1% of total)

ival-log: 4.0ms (13.1% of total)

ival-log1p: 3.0ms (9.9% of total)

const: 3.0ms (9.9% of total)

ival-div: 2.0ms (6.6% of total)

exact: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

series13.0ms (0.1%)

Memory

-6.6MiB live, 34.9MiB allocated

Counts

12 → 144

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<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 (+ (log -2) (log x)))>
#<alt (* -1 (+ (log -2) (log x)))>
#<alt (* -1 (+ (log -2) (log x)))>
#<alt (* -1 (+ (log -2) (log x)))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(neg (log (* x -2)))
2.0ms	x	@	0	(+ (* x 2) (/ 1/2 x))
0.0ms	x	@	0	(log (+ (* x 2) (/ 1/2 x)))
0.0ms	x	@	inf	(log (+ (* x 2) (/ 1/2 x)))
0.0ms	x	@	-inf	(log (+ (* x 2) (/ 1/2 x)))

rewrite281.0ms (2.7%)

Memory

27.7MiB live, 661.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 176×	`lower-fma.f32`
6 168×	`lower-fma.f64`
4 232×	`lower-*.f32`
4 226×	`lower-*.f64`
4 074×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	55
0	36	55
1	132	54
2	948	54
0	8418	54

Stop Event

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

Counts

12 → 373

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) (neg.f64 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 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -4 binary64) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) (fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (neg.f64 x))) (.f64 x #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 x (neg.f64 x))) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 2 binary64)) x)) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x))) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x #s(literal -2 binary64)) x)) (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal -2 binary64)) (neg.f64 x))) (.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))
(/.f64 (+.f64 x (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 x) (.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))) (neg.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -4 binary64) (.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))

simplify501.0ms (4.8%)

Memory

-142.0MiB live, 440.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 292×	`lower-fma.f64`
8 292×	`lower-fma.f32`
2 750×	`lower-*.f64`
2 750×	`lower-*.f32`
2 452×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	949
1	394	911
2	987	902
3	3019	888
4	6961	876
0	8174	822

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/2
(- (* 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 (+ (log -2) (log x)))
(* -1 (+ (log -2) (log x)))
(* -1 (+ (log -2) (log x)))
(* -1 (+ (log -2) (log x)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -2) (log x))
(+ (log -2) (log x))
(+ (log -2) (log x))
(+ (log -2) (log x))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(/ 1/2 x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)

Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(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)
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(* -1 (+ (log -2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (log.f64 (neg.f64 x)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (log.f64 (neg.f64 x)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (log.f64 (neg.f64 x)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 #s(literal 2 binary64))) (log.f64 (neg.f64 x)))
(+ (log -2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log 2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (log 1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (log.f64 #s(literal 1/2 binary64))) (log.f64 x))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -8 binary64)) #s(literal 4 binary64)) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(-.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 64/3 binary64)) #s(literal -8 binary64))) #s(literal 4 binary64)) (log.f64 #s(literal 1/2 binary64))) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)

eval56.0ms (0.5%)

Memory: 7.9MiB live, 125.0MiB allocated
Compiler: Compiled 10 187 to 1 275 computations (87.5% saved)

prune63.0ms (0.6%)

Memory

-20.7MiB live, 138.3MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	500	14	514
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	501	20	521

Accuracy

100.0%

Counts

521 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.8%	(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) x)
	54.5%	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
	54.1%	(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
▶	54.6%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
✓	53.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
✓	53.9%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
	21.5%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
▶	31.1%	(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
▶	31.0%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
	31.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
	53.9%	(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
	31.0%	(.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
▶	4.8%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
	5.1%	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
▶	4.2%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
	31.1%	(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
✓	23.2%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	60.3%	(log1p.f64 x)
✓	25.4%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	24.4%	(log.f64 (*.f64 x #s(literal 2 binary64)))

Compiler

Compiled 608 to 298 computations (51% saved)

simplify332.0ms (3.2%)

Memory

19.9MiB live, 532.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
✓	cost-diff	64	(.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x (neg.f64 x)) x))
✓	cost-diff	128	(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x (neg.f64 x)) x)
✓	cost-diff	3136	(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
✓	cost-diff	2432	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
✓	cost-diff	0	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))

Rules

15 086×	`lower-fma.f32`
15 076×	`lower-fma.f64`
3 648×	`lower-*.f32`
3 632×	`lower-*.f64`
2 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	209
0	49	193
1	109	169
2	272	165
3	1026	165
4	4579	164
0	8554	162

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1%)

Memory

28.0MiB live, 177.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
✓	accuracy	99.9%	(.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x (neg.f64 x)) x))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	42.1%	(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
✓	accuracy	42.8%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 211 to 32 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 24.0ms (57% of total)

ival-add: 7.0ms (16.6% of total)

ival-div: 6.0ms (14.3% of total)

const: 4.0ms (9.5% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-34.6MiB live, 14.0MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(* x (* x (+ (* x 1/3) -1/2)))
1.0ms	x	@	0	(* (+ (* x (* x -1/2)) x) (+ (* (* x x) 1/2) x))
0.0ms	x	@	-inf	(* (+ (* x (* x -1/2)) x) (+ (* (* x x) 1/2) x))
0.0ms	x	@	inf	(* -1/2 (* x x))
0.0ms	x	@	inf	(* (+ (* x (* x -1/2)) x) (+ (* (* x x) 1/2) x))

rewrite681.0ms (6.5%)

Memory

27.6MiB live, 534.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 622×	`lower-fma.f32`
10 612×	`lower-fma.f64`
4 268×	`lower-*.f32`
4 252×	`lower-*.f64`
4 004×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	171
0	49	155
1	208	131
2	1538	117
0	9078	116

Stop Event

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

Counts

17 → 1 603

Calls

Call 1

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

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

simplify360.0ms (3.4%)

Memory

-21.7MiB live, 537.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 202×	`lower-fma.f64`
14 202×	`lower-fma.f32`
3 704×	`lower-*.f64`
3 704×	`lower-*.f32`
3 294×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1410
1	436	1410
2	1089	1388
3	3335	1386
4	6927	1386
0	8171	1246

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 197

Calls

Call 1

Inputs
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 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)))
(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)
-2
(- (* -4/3 x) 2)
(- (* x (- (* -8/9 x) 4/3)) 2)
(- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)
(/ 3 x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)
(/ 3 x)
(/ (+ 3 (* 9/2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))
(* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -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) (+ 1 (* -1/4 (pow x 2))))
(* (pow x 2) (+ 1 (* -1/4 (pow x 2))))
(* (pow x 2) (+ 1 (* -1/4 (pow x 2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 4) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 4) (- (/ 1 (pow x 2)) 1/4))
(* -1/4 (pow x 4))
(* (pow x 4) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 4) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 4) (- (/ 1 (pow x 2)) 1/4))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* -1/3 x)))))
(* x (+ 1 (* x (+ 1/2 (* -1/3 x)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1/2 (/ 1 x)) x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/4 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/3 x) 1/4))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/9 x))) 1/4))))
(* -1/9 (pow x 6))
(* (pow x 6) (- (* 1/3 (/ 1 x)) 1/9))
(* (pow x 6) (- (* 1/3 (/ 1 x)) (+ 1/9 (/ 1/4 (pow x 2)))))
(* (pow x 6) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/9 (/ 1/4 (pow x 2)))))
(* -1/9 (pow x 6))
(* (pow x 6) (- (* 1/3 (/ 1 x)) 1/9))
(* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/9))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/3) x)) 1/9))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))

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

eval430.0ms (4.1%)

Memory: 21.4MiB live, 446.5MiB allocated
Compiler: Compiled 87 133 to 4 765 computations (94.5% saved)

prune252.0ms (2.4%)

Memory

11.5MiB live, 521.5MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	2 345	7	2 352
Fresh	7	2	9
Picked	3	2	5
Done	0	6	6
Total	2 355	17	2 372

Accuracy

100.0%

Counts

2 372 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) x)
✓	53.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
	4.4%	(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
✓	53.9%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
	32.2%	(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
	53.9%	(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
	4.2%	(.f64 (.f64 x #s(literal -1/2 binary64)) x)
	4.8%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓	4.8%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
	5.1%	(.f64 x (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
	5.1%	(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
	5.1%	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
✓	4.2%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	23.2%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	60.3%	(log1p.f64 x)
✓	25.4%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	24.4%	(log.f64 (*.f64 x #s(literal 2 binary64)))

Compiler

Compiled 542 to 197 computations (63.7% saved)

regimes26.0ms (0.3%)

Memory

33.0MiB live, 33.0MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))

Calls

3 calls:

9.0ms	x
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
88.7%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
88.7%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory

-47.9MiB live, 14.0MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))

Outputs
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes104.0ms (1%)

Memory

-10.2MiB live, 28.0MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))

Outputs
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.7%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
77.7%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
78.1%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))

Outputs
(log1p.f64 x)

Calls

3 calls:

8.0ms	x
7.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
60.3%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
60.3%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
60.3%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes85.0ms (0.8%)

Memory

-8.1MiB live, 30.1MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(.f64 x (.f64 x (*.f64 #s(literal 1/3 binary64) x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x (neg.f64 x)) x)) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (-.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))

Outputs
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)

Calls

3 calls:

71.0ms	x
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
55.2%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
55.2%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
55.2%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes48.0ms (0.5%)

Memory

-18.6MiB live, 19.6MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
54.6%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
54.6%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
53.9%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
53.9%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.9%	1	`x`
53.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
53.9%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
4.2%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch36.0ms (0.3%)

Memory

-9.2MiB live, 34.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.7286979031762933e-8	5867642.055343767
19.0ms	-31469514695090.68	-6.133282592124102e-7

Samples

21.0ms

336×

valid

Compiler

Compiled 390 to 271 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-hypot: 6.0ms (51.8% of total)

ival-log: 4.0ms (34.5% of total)

ival-add: 2.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Memory

-18.6MiB live, 57.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.7286979031762933e-8	5867642.055343767
17.0ms	-31469514695090.68	-6.133282592124102e-7

Samples

20.0ms

336×

valid

Compiler

Compiled 360 to 251 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-hypot: 7.0ms (49.8% of total)

ival-log: 4.0ms (28.5% of total)

ival-add: 3.0ms (21.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.7286979031762933e-8	5867642.055343767

Samples

8.0ms

160×

valid

Compiler

Compiled 223 to 149 computations (33.2% saved)

Precisions

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

ival-hypot: 3.0ms (55.3% of total)

ival-log: 2.0ms (36.9% of total)

ival-add: 1.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

-22.9MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	115
1	59	115
2	61	115
3	62	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -5/4 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x) (log.f64 (.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (log.f64 (.f64 x #s(literal 2 binary64))))
(log1p.f64 x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(.f64 #s(literal -1/2 binary64) (.f64 x x))

Outputs
(if (<=.f64 x #s(literal -5/4 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x) (log.f64 (.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (log.f64 (.f64 x #s(literal 2 binary64))))
(log1p.f64 x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.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 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/2 binary64))

soundness1.2s (11.4%)

Memory

24.8MiB live, 815.9MiB allocated

Rules

11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
10 234×	`lower-fma.f32`
10 228×	`lower-fma.f64`
10 210×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
0	35	57
1	115	57
2	684	57
3	7307	57
0	8025	54
0	146	949
1	394	911
2	987	902
3	3019	888
4	6961	876
0	8174	822
0	116	839
1	291	789
2	667	784
3	1882	782
4	4706	770
5	7388	770
0	8112	741
0	18	55
0	36	55
1	132	54
2	948	54
0	8418	54
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

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

Compiler

Compiled 274 to 152 computations (44.5% saved)

preprocess69.0ms (0.7%)

Memory: 7.8MiB live, 161.6MiB allocated
Compiler: Compiled 302 to 132 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	76
0	35	71
1	57	71
2	83	71
3	140	71
4	224	71
5	244	71
6	244	71
7	321	71
8	322	71
0	322	68

Iter	Nodes	Cost
0	19	76
0	35	71
1	57	71
2	83	71
3	140	71
4	224	71
5	244	71
6	244	71
7	321	71
8	322	71
0	322	68

analyze86.0ms (0.8%)

sample2.6s (24.8%)

preprocess31.0ms (0.3%)

explain287.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize67.0ms (0.6%)

series5.0ms (0%)

rewrite355.0ms (3.4%)

simplify534.0ms (5.1%)

eval163.0ms (1.5%)

prune269.0ms (2.6%)

simplify16.0ms (0.2%)

localize206.0ms (2%)

series226.0ms (2.1%)

rewrite377.0ms (3.6%)

simplify265.0ms (2.5%)

eval85.0ms (0.8%)

prune68.0ms (0.6%)

simplify13.0ms (0.1%)

localize68.0ms (0.6%)

series13.0ms (0.1%)

rewrite281.0ms (2.7%)

simplify501.0ms (4.8%)

eval56.0ms (0.5%)

prune63.0ms (0.6%)

simplify332.0ms (3.2%)

localize104.0ms (1%)

series14.0ms (0.1%)

rewrite681.0ms (6.5%)

simplify360.0ms (3.4%)

eval430.0ms (4.1%)

prune252.0ms (2.4%)

regimes26.0ms (0.3%)

regimes20.0ms (0.2%)

regimes104.0ms (1%)

regimes23.0ms (0.2%)

regimes85.0ms (0.8%)

regimes48.0ms (0.5%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch36.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch16.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.2s (11.4%)

preprocess69.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	76
0	35	71
1	57	71
2	83	71
3	140	71
4	224	71
5	244	71
6	244	71
7	321	71
8	322	71
0	322	68