Metrics for Hyperbolic arcsine

analyze67.0ms (1%)

Memory

21.3MiB live, 135.3MiB 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)

sample2.7s (40%)

Memory

24.5MiB live, 2 369.4MiB allocated

Samples

1.1s	4 429×	1	valid
947.0ms	1 580×	2	valid
295.0ms	2 247×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-log: 911.0ms (45.5% of total)

ival-hypot: 739.0ms (36.9% of total)

ival-add: 235.0ms (11.7% of total)

adjust: 97.0ms (4.8% of total)

exact: 11.0ms (0.5% of total)

ival-true: 7.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess27.0ms (0.4%)

Memory

-20.8MiB live, 17.8MiB allocated

Algorithm

2×	egg-herbie

Rules

36×	`sub-neg`
34×	`distribute-rgt-in`
30×	`distribute-lft-neg-in`
30×	`associate--r+`
30×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	30	28
2	55	28
3	95	28
4	149	28
5	206	28
6	249	28
7	264	28
0	7	9
1	11	9
0	11	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (+ x (sqrt (+ (* x x) 1))))

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

Call 2

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

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

explain317.0ms (4.7%)

Memory

-7.8MiB live, 323.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
64	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
57	-	-	`(+.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	132	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	64	0
↳	`(*.f64 x x)`	overflow	64
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	64
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	57	0

Confusion

	Predicted +	Predicted -
+	221	0
-	0	35

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	0	0
-	0	0	35

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	35
1	189
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms	248×	1	valid
57.0ms	124×	2	valid
24.0ms	140×	0	valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-log: 60.0ms (50.9% of total)

ival-add: 23.0ms (19.5% of total)

ival-hypot: 22.0ms (18.7% of total)

adjust: 6.0ms (5.1% of total)

ival-mult: 5.0ms (4.2% of total)

exact: 1.0ms (0.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.5%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`sqrt-lowering-sqrt.f64`
2×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	11	33
0	11	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ x (sqrt (+ (* x x) 1))))
(+ x (sqrt (+ (* x x) 1)))
x
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1

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

localize91.0ms (1.4%)

Memory

14.3MiB live, 95.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	79.1%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	76.8%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	52.3%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

53.0ms	62×	2	valid
21.0ms	124×	1	valid
5.0ms	70×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log: 47.0ms (68.1% of total)

ival-hypot: 11.0ms (15.9% of total)

ival-add: 5.0ms (7.2% of total)

adjust: 3.0ms (4.3% of total)

ival-mult: 2.0ms (2.9% of total)

exact: 0.0ms (0% of total)

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

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

series25.0ms (0.4%)

Memory

-31.5MiB live, 7.8MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (+ (* x x) 1)>
#<alt (log (+ x (sqrt (+ (* x x) 1))))>
#<alt (+ x (sqrt (+ (* x x) 1)))>
#<alt (sqrt (+ (* x x) 1))>
#<alt (* 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
20.0ms	x	@	-inf	(+ x (sqrt (+ (* x x) 1)))
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)

rewrite665.0ms (9.9%)

Memory

16.7MiB live, 456.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 062×	`accelerator-lowering-fma.f32`
6 062×	`accelerator-lowering-fma.f64`
3 598×	`-lowering-.f32`
3 598×	`-lowering-.f64`
2 994×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
1	39	31
2	292	31
3	3147	31
0	8731	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 363

Calls

Call 1

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

simplify393.0ms (5.8%)

Memory

30.3MiB live, 417.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 038×	`accelerator-lowering-fma.f32`
11 038×	`accelerator-lowering-fma.f64`
4 124×	`+-lowering-+.f64`
4 124×	`+-lowering-+.f32`
2 226×	`-lowering-.f32`

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 → 60

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)

eval93.0ms (1.4%)

Memory: -26.8MiB live, 89.2MiB allocated
Compiler: Compiled 11 953 to 1 637 computations (86.3% saved)

prune124.0ms (1.8%)

Memory

18.0MiB live, 97.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	417	6	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	418	6	424

Accuracy

100.0%

Counts

424 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
	23.3%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	22.8%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	27.7%	(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
▶	26.6%	(log.f64 (+.f64 x x))
▶	54.0%	x

Compiler

Compiled 82 to 54 computations (34.1% saved)

simplify60.0ms (0.9%)

Memory

-15.4MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

600×	`accelerator-lowering-fma.f32`
600×	`accelerator-lowering-fma.f64`
344×	`-lowering-.f32`
344×	`-lowering-.f64`
212×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	27	60
2	50	58
3	70	58
4	98	58
5	201	58
6	413	58
7	777	58
8	860	58
9	866	58
0	866	55

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(+ (* (* x x) (* x -1/6)) x)
(* x x)
x
(* x -1/6)
-1/6
(log (+ x x))
(+ x x)
x
(log (/ -1/2 x))
(/ -1/2 x)
-1/2
x
(log (+ x (- x (/ -1/2 x))))
(+ x (- x (/ -1/2 x)))
x
(- x (/ -1/2 x))
(/ -1/2 x)
-1/2

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

localize202.0ms (3%)

Memory

-10.3MiB live, 67.6MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

115.0ms

256×

invalid

Compiler

Compiled 61 to 16 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-add: 85.0ms (81.2% of total)

ival-log: 7.0ms (6.7% of total)

ival-mult: 5.0ms (4.8% of total)

const: 4.0ms (3.8% of total)

ival-div: 2.0ms (1.9% of total)

ival-sub: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series290.0ms (4.3%)

Memory

14.5MiB live, 168.1MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (+ (* (* x x) (* x -1/6)) x)>
#<alt (* x x)>
#<alt (* x -1/6)>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (log (+ x (- x (/ -1/2 x))))>
#<alt (+ x (- x (/ -1/2 x)))>
#<alt (- x (/ -1/2 x))>

Outputs
#<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 (+ (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)>
#<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 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>

Calls

30 calls:

Time	Variable		Point	Expression
137.0ms	x	@	0	(log (+ x x))
87.0ms	x	@	0	(log (/ -1/2 x))
30.0ms	x	@	-inf	(log (/ -1/2 x))
19.0ms	x	@	-inf	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))

rewrite65.0ms (1%)

Memory

18.3MiB live, 96.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

422×	`accelerator-lowering-fma.f32`
422×	`accelerator-lowering-fma.f64`
380×	`-lowering-.f32`
380×	`-lowering-.f64`
302×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	78	47
0	728	44

Stop Event

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

Counts

10 → 113

Calls

Call 1

Inputs
(+ (* (* x x) (* x -1/6)) x)
(* x x)
(* x -1/6)
(log (+ x x))
(+ x x)
(log (/ -1/2 x))
(/ -1/2 x)
(log (+ x (- x (/ -1/2 x))))
(+ x (- x (/ -1/2 x)))
(- x (/ -1/2 x))

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

simplify260.0ms (3.9%)

Memory

-25.6MiB live, 417.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 042×	`accelerator-lowering-fma.f32`
9 042×	`accelerator-lowering-fma.f64`
2 672×	`+-lowering-+.f64`
2 672×	`+-lowering-+.f32`
2 660×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	744
1	218	700
2	533	700
3	1662	664
4	4128	664
5	7079	656
0	8143	629

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
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)
(+ (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)
(+ (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 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))

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

eval24.0ms (0.4%)

Memory: 14.2MiB live, 53.1MiB allocated
Compiler: Compiled 3 031 to 442 computations (85.4% saved)

prune18.0ms (0.3%)

Memory

15.6MiB live, 54.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	256	1	257
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	257	6	263

Accuracy

100.0%

Counts

263 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
▶	22.8%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
▶	23.3%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	27.7%	(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	26.6%	(log.f64 (+.f64 x x))
✓	54.0%	x

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

-27.4MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	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	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	cost-diff	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
10×	`-lowering-.f32`
10×	`-lowering-.f64`
8×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	20	51
2	22	51
3	24	51
4	26	51
5	30	51
6	35	51
0	35	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
x
(neg (log (* x -2)))
(log (* x -2))
(* x -2)
x
-2

Outputs
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(neg (log (* x -2)))
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(log (* x -2))
(log.f64 (*.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)

localize39.0ms (0.6%)

Memory

19.4MiB live, 101.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	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%	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))

Samples

20.0ms	199×	0	invalid
5.0ms	57×	0	valid

Compiler

Compiled 53 to 14 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 4.0ms (25.1% of total)

ival-log: 4.0ms (25.1% of total)

ival-mult: 3.0ms (18.8% of total)

ival-neg: 2.0ms (12.5% of total)

ival-add: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-14.9MiB live, 63.2MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (log (/ (+ -1/2 (/ 1/8 (* x x))) x))>
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)>
#<alt (+ -1/2 (/ 1/8 (* x x)))>
#<alt (/ 1/8 (* x x))>
#<alt (neg (log (* x -2)))>
#<alt (log (* x -2))>
#<alt (* x -2)>
#<alt (* x x)>

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

24 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(neg (log (* x -2)))
8.0ms	x	@	-inf	(neg (log (* x -2)))
7.0ms	x	@	inf	(neg (log (* x -2)))
1.0ms	x	@	0	(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
0.0ms	x	@	inf	(log (/ (+ -1/2 (/ 1/8 (* x x))) x))

rewrite273.0ms (4.1%)

Memory

10.1MiB live, 605.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 576×	`-lowering-.f32`
3 576×	`-lowering-.f64`
3 172×	`/-lowering-/.f32`
3 172×	`/-lowering-/.f64`
2 942×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	59	45
2	430	45
3	4557	45
0	9091	42

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 427

Calls

Call 1

Inputs
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(/ 1/8 (* x x))
(neg (log (* x -2)))
(log (* x -2))
(* x -2)
(* x x)

Outputs
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) #s(literal 0 binary64))
(+.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(+.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 (log.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (*.f64 x x)))) x)))
(+.f64 (log.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x)))))))
(+.f64 (log.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (*.f64 x x))))))
(+.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x)))
(+.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))))
(+.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x)) (neg.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) x)) (neg.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x) (fma.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/64 binary64)))) (log.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x) (-.f64 #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))) (log.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x)))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))) (neg.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (neg.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) x))))
(-.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (.f64 (neg.f64 x) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x)))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x)))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x)))))))
(-.f64 (log.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (.f64 (neg.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/16 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal -1/4096 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 x x))))) (log.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x)) (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) #s(literal -1/16 binary64)) (*.f64 x x)))))
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(fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 #s(literal -2 binary64)))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (log.f64 #s(literal -2 binary64)))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) (log.f64 (.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) (log.f64 (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))))
(/.f64 (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) (log.f64 (.f64 x #s(literal -1/2 binary64)))) (log.f64 (.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) (log.f64 (.f64 x #s(literal -1/2 binary64))))) (neg.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -2 binary64) x)))
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) (log.f64 (.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(.f64 (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) (log.f64 (.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.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))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))

simplify254.0ms (3.8%)

Memory

-5.4MiB live, 511.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 500×	`accelerator-lowering-fma.f32`
8 500×	`accelerator-lowering-fma.f64`
3 052×	`-lowering-.f32`
3 052×	`-lowering-.f64`
1 582×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	660
1	226	644
2	492	640
3	1091	640
4	2526	640
5	4520	632
6	6803	632
0	8258	616

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval52.0ms (0.8%)

Memory: 27.0MiB live, 141.0MiB allocated
Compiler: Compiled 10 346 to 1 407 computations (86.4% saved)

prune55.0ms (0.8%)

Memory

4.8MiB live, 165.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	523	0	523
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	523	6	529

Accuracy

100.0%

Counts

529 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
✓	22.8%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	23.3%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	27.7%	(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓	26.6%	(log.f64 (+.f64 x x))
✓	54.0%	x

Compiler

Compiled 92 to 55 computations (40.2% saved)

regimes9.0ms (0.1%)

Memory

-13.0MiB live, 26.2MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
x
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

Outputs

(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`x`
87.5%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
87.5%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

-23.8MiB live, 15.7MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	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
78.2%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
78.2%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
78.7%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total -1.4b remaining (-4.7%)

Threshold costs -1.4b (-4.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
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
54.0%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
54.0%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
54.0%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch35.0ms (0.5%)

Memory

-0.1MiB live, 86.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.6085372087723662e-6	54546.43112945888
18.0ms	-578144.1869014383	-1.0555046383172836e-20

Samples

19.0ms

336×

valid

Compiler

Compiled 455 to 304 computations (33.2% saved)

Precisions

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

ival-hypot: 6.0ms (49.1% of total)

ival-log: 5.0ms (40.9% of total)

ival-add: 2.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.5%)

Memory

-0.9MiB live, 77.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.6085372087723662e-6	54546.43112945888
16.0ms	-578144.1869014383	-1.0555046383172836e-20

Samples

19.0ms

336×

valid

Compiler

Compiled 400 to 271 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-hypot: 5.0ms (43.7% of total)

ival-log: 4.0ms (35% of total)

ival-add: 2.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.5%)

Memory

2.6MiB live, 82.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.6085372087723662e-6	54546.43112945888
16.0ms	-578144.1869014383	-1.0555046383172836e-20

Samples

20.0ms

336×

valid

Compiler

Compiled 360 to 241 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-hypot: 7.0ms (55.3% of total)

ival-log: 4.0ms (31.6% of total)

ival-add: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

-0.7MiB live, 38.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.6085372087723662e-6	54546.43112945888

Samples

9.0ms

160×

valid

Compiler

Compiled 103 to 69 computations (33% saved)

Precisions

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

ival-hypot: 3.0ms (47.4% of total)

ival-log: 2.0ms (31.6% of total)

ival-add: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

-14.2MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	98
1	45	98
2	54	98
3	61	98
4	66	98
5	68	98

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x (-.f64 x (/.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 4278419646001971/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x (-.f64 x (/.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 5674535530486825/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x (-.f64 x (/.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 4278419646001971/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x (-.f64 x (/.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 5674535530486825/4503599627370496 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) x (log.f64 (+.f64 x x)))
x

soundness384.0ms (5.7%)

Memory

4.2MiB live, 319.6MiB allocated

Rules

11 038×	`accelerator-lowering-fma.f32`
11 038×	`accelerator-lowering-fma.f64`
4 124×	`+-lowering-+.f64`
4 124×	`+-lowering-+.f32`
2 226×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	78	47
0	728	44
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

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

Compiler

Compiled 191 to 96 computations (49.7% saved)

preprocess73.0ms (1.1%)

Memory: 11.7MiB live, 130.4MiB allocated
Compiler: Compiled 268 to 112 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	60
1	27	60
2	50	58
3	70	58
4	98	58
5	201	58
6	413	58
7	777	58
8	860	58
9	866	58
0	866	55

Iter	Nodes	Cost
0	14	60
1	27	60
2	50	58
3	70	58
4	98	58
5	201	58
6	413	58
7	777	58
8	860	58
9	866	58
0	866	55

analyze67.0ms (1%)

sample2.7s (40%)

preprocess27.0ms (0.4%)

explain317.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize91.0ms (1.4%)

series25.0ms (0.4%)

rewrite665.0ms (9.9%)

simplify393.0ms (5.8%)

eval93.0ms (1.4%)

prune124.0ms (1.8%)

simplify60.0ms (0.9%)

localize202.0ms (3%)

series290.0ms (4.3%)

rewrite65.0ms (1%)

simplify260.0ms (3.9%)

eval24.0ms (0.4%)

prune18.0ms (0.3%)

simplify5.0ms (0.1%)

localize39.0ms (0.6%)

series27.0ms (0.4%)

rewrite273.0ms (4.1%)

simplify254.0ms (3.8%)

eval52.0ms (0.8%)

prune55.0ms (0.8%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch35.0ms (0.5%)

bsearch33.0ms (0.5%)

bsearch33.0ms (0.5%)

bsearch15.0ms (0.2%)

simplify10.0ms (0.1%)

soundness384.0ms (5.7%)

preprocess73.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	60
1	27	60
2	50	58
3	70	58
4	98	58
5	201	58
6	413	58
7	777	58
8	860	58
9	866	58
0	866	55