Metrics for Hyperbolic arcsine

analyze61.0ms (0.6%)

Memory

34.0MiB live, 110.6MiB 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)

sample2.2s (21.6%)

Memory

5.2MiB live, 2 975.3MiB allocated

Samples

937.0ms	1 544×	2	valid
707.0ms	4 490×	1	valid
163.0ms	2 222×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log: 1.0s (63.5% of total)

ival-hypot: 411.0ms (26.1% of total)

ival-add: 81.0ms (5.1% of total)

adjust: 65.0ms (4.1% of total)

exact: 10.0ms (0.6% of total)

ival-true: 6.0ms (0.4% of total)

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

Bogosity

preprocess44.0ms (0.4%)

Memory

3.7MiB live, 43.1MiB 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)))

explain378.0ms (3.7%)

Memory

33.7MiB live, 263.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
70	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
65	-	-	`(+.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	133	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	70	0
↳	`(*.f64 x x)`	overflow	70
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	70
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	65	0

Confusion

	Predicted +	Predicted -
+	234	0
-	0	22

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	234	0	0
-	0	0	22

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	22
1	200
2	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

121.0ms	306×	1	valid
37.0ms	82×	2	valid
9.0ms	124×	0	valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-add: 41.0ms (36.8% of total)

ival-log: 38.0ms (34.2% of total)

ival-hypot: 20.0ms (18% of total)

adjust: 6.0ms (5.4% of total)

ival-mult: 5.0ms (4.5% of total)

exact: 1.0ms (0.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.0%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify45.0ms (0.4%)

Memory

-23.0MiB live, 11.9MiB 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)

localize115.0ms (1.1%)

Memory

17.9MiB live, 94.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	76.1%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	74.6%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	52.5%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

57.0ms	41×	2	valid
42.0ms	153×	1	valid
5.0ms	62×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-hypot: 64.0ms (68.6% of total)

ival-log: 19.0ms (20.4% of total)

ival-add: 5.0ms (5.4% of total)

adjust: 3.0ms (3.2% of total)

ival-mult: 2.0ms (2.1% of total)

exact: 0.0ms (0% of total)

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

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

series5.0ms (0%)

Memory

9.9MiB live, 9.9MiB 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
1.0ms	x	@	0	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (+ (* x x) 1))))
0.0ms	x	@	inf	(+ (* x x) 1)
0.0ms	x	@	0	(+ (* x x) 1)

rewrite572.0ms (5.6%)

Memory

-17.7MiB live, 584.4MiB 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 (log.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64)))) #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 (-.f64 #s(literal 0 binary64) (fma.f64 x 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 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (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))) (fma.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.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)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))))))
(.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) (log.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))
(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 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (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) (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #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)) (log.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.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 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #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))

simplify459.0ms (4.5%)

Memory

-12.2MiB live, 585.5MiB 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))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (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)) #s(literal 1 binary64)))
(+ (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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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))))
(fma.f64 x (+.f64 #s(literal 1 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 x)
(-.f64 #s(literal 0 binary64) 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)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 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))
(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)

eval60.0ms (0.6%)

Memory: 24.0MiB live, 135.8MiB allocated
Compiler: Compiled 12 061 to 1 635 computations (86.4% saved)

prune128.0ms (1.3%)

Memory

-33.1MiB live, 160.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	413	10	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	414	10	424

Accuracy

100.0%

Counts

424 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
▶	52.3%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
	5.1%	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
▶	26.4%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	26.1%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	14.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶	1.8%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
▶	22.8%	(log.f64 (+.f64 x x))
	5.1%	(log.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
▶	54.2%	x

Compiler

Compiled 210 to 130 computations (38.1% saved)

simplify273.0ms (2.7%)

Memory

13.5MiB live, 485.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	cost-diff	0	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	cost-diff	384	(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(log.f64 (+.f64 x x))
✓	cost-diff	-64	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	-64	(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))

Rules

9 716×	`accelerator-lowering-fma.f32`
9 716×	`accelerator-lowering-fma.f64`
2 110×	`-lowering-.f32`
2 110×	`-lowering-.f64`
1 600×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	43	97
2	63	89
3	130	83
4	160	83
5	322	83
6	871	83
7	2266	83
8	4428	83
9	6189	83
10	7407	83
11	7901	83
0	8002	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
x
(* x (+ (* x (* x -1/6)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* x (* x -1/6)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x -1/6)
(fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(log (+ x x))
(log.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)
x
(log (+ x (- (/ -1/2 x) x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+ x (- (/ -1/2 x) x))
(/.f64 #s(literal -1/2 binary64) x)
x
(- (/ -1/2 x) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(+ -1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x #s(literal 0 binary64))))
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (fma.f64 x x #s(literal 0 binary64)))
1/8
#s(literal 1/8 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x

localize64.0ms (0.6%)

Memory

18.3MiB live, 135.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	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	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	100.0%	(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	100.0%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/6 binary64))

Samples

42.0ms

256×

invalid

Compiler

Compiled 93 to 22 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 7.0ms (24.6% of total)

ival-log: 6.0ms (21.1% of total)

ival-div: 5.0ms (17.6% of total)

ival-add: 4.0ms (14% of total)

const: 4.0ms (14% of total)

ival-sub: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series159.0ms (1.6%)

Memory

-27.4MiB live, 181.8MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<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 (* -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 (/ -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)))>
#<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 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<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 (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

42 calls:

Time	Variable		Point	Expression
65.0ms	x	@	-inf	(log (+ x (- (/ -1/2 x) x)))
26.0ms	x	@	0	(log (+ x x))
24.0ms	x	@	0	(log (+ x (- (/ -1/2 x) x)))
18.0ms	x	@	-inf	(log (+ x x))
8.0ms	x	@	inf	(log (+ x x))

rewrite203.0ms (2%)

Memory

-8.7MiB live, 106.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

506×	`/-lowering-/.f32`
506×	`/-lowering-/.f64`
498×	`-lowering-.f32`
498×	`-lowering-.f64`
466×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	120	77
0	1017	72

Stop Event

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

Counts

14 → 185

Calls

Call 1

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

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

simplify472.0ms (4.6%)

Memory

28.8MiB live, 544.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 634×	`accelerator-lowering-fma.f32`
9 634×	`accelerator-lowering-fma.f64`
4 016×	`-lowering-.f32`
4 016×	`-lowering-.f64`
1 828×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1005
1	266	967
2	644	958
3	1781	940
4	6186	940
0	8330	906

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
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)))))
(* -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)
(/ -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)))
(+ (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 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (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))
(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 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/6 (pow x 3))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/6 (pow x 3))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) 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) (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)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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))
(/ -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)))
(-.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 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 1/2 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) 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))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) 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))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ (log 1/8) (* -3 (log x)))
(fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 1/8 binary64)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) (fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 #s(literal 1/8 binary64))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -8 binary64)) #s(literal -4 binary64))) (fma.f64 (log.f64 x) #s(literal -3 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 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -64/3 binary64)) #s(literal -8 binary64)) #s(literal -4 binary64)) (fma.f64 (log.f64 x) #s(literal -3 binary64) (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 (log.f64 #s(literal -1/2 binary64)) (+.f64 (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)) (+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.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 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.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 (+.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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))
(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)

eval78.0ms (0.8%)

Memory: 15.5MiB live, 88.4MiB allocated
Compiler: Compiled 4 546 to 687 computations (84.9% saved)

prune128.0ms (1.3%)

Memory

-1.9MiB live, 80.4MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	5	5
Picked	1	4	5
Done	0	0	0
Total	353	10	363

Accuracy

100.0%

Counts

363 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
▶	53.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
▶	5.1%	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	26.4%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	26.1%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	14.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	1.8%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	22.8%	(log.f64 (+.f64 x x))
	5.1%	(log.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
✓	54.2%	x

Compiler

Compiled 183 to 110 computations (39.9% saved)

simplify764.0ms (7.5%)

Memory

-32.8MiB live, 495.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	cost-diff	512	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	cost-diff	960	(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓	cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))

Rules

11 268×	`accelerator-lowering-fma.f32`
11 268×	`accelerator-lowering-fma.f64`
2 872×	`-lowering-.f32`
2 872×	`-lowering-.f64`
1 530×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	166
1	65	164
2	145	148
3	328	147
4	436	147
5	570	147
6	1218	147
7	2846	147
8	4982	147
9	7058	147
10	7641	147
0	8092	132

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1))
x
(+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1)
(* x x)
(+ (* x (* x 3/40)) -1/6)
(* x 3/40)
3/40
-1/6
1
(+ (* (* x (* x x)) -1/6) x)
(* x (* x x))
x
(* x x)
-1/6
(log (/ -1/2 x))
(/ -1/2 x)
-1/2
x
(log (+ (sqrt (+ (* x x) 1)) x))
(+ (sqrt (+ (* x x) 1)) x)
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
x
1
(log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)))
(/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x))
(+ (* x x) (- 1 (* x x)))
x
(- 1 (* x x))
1
(* x x)
(- (sqrt (+ (* x x) 1)) x)
(sqrt (+ (* x x) 1))
(+ (* x x) 1)

Outputs
(* x (+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 3/40 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 3/40 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x (* x 3/40)) -1/6)
(fma.f64 x (fma.f64 x #s(literal 3/40 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))
(* x 3/40)
(fma.f64 x #s(literal 3/40 binary64) #s(literal 0 binary64))
3/40
#s(literal 3/40 binary64)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(+ (* (* x (* x x)) -1/6) x)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* x x))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
-1/6
#s(literal -1/6 binary64)
(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 (+ (sqrt (+ (* x x) 1)) x))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+ (sqrt (+ (* x x) 1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(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
1
#s(literal 1 binary64)
(log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+ (* x x) (- 1 (* x x)))
#s(literal 1 binary64)
x
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(- (sqrt (+ (* x x) 1)) x)
(-.f64 (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))

localize407.0ms (4%)

Memory

4.0MiB live, 319.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	accuracy	87.7%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	75.2%	(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	74.0%	(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	87.7%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	76.1%	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓	accuracy	74.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 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	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal 3/40 binary64))

Samples

134.0ms	113×	1	valid
126.0ms	117×	0	invalid
23.0ms	23×	2	valid
1.0ms	3×	0	valid

Compiler

Compiled 162 to 28 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

const: 88.0ms (54.8% of total)

ival-log: 27.0ms (16.8% of total)

ival-mult: 17.0ms (10.6% of total)

ival-add: 11.0ms (6.9% of total)

adjust: 6.0ms (3.7% of total)

ival-sub: 4.0ms (2.5% of total)

ival-div: 4.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-1.3MiB live, 37.2MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1)>
#<alt (+ (* x (* x 3/40)) -1/6)>
#<alt (* x (+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1))>
#<alt (* x x)>
#<alt (+ (* (* x (* x x)) -1/6) x)>
#<alt (* x (* x x))>
#<alt (log (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (log (+ (sqrt (+ (* x x) 1)) x))>
#<alt (+ (sqrt (+ (* x x) 1)) x)>
#<alt (sqrt (+ (* x x) 1))>
#<alt (+ (* x x) 1)>
#<alt (+ (* x x) (- 1 (* x x)))>
#<alt (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)))>
#<alt (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x))>
#<alt (- 1 (* x x))>
#<alt (* x 3/40)>

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

Calls

51 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(log (/ -1/2 x))
2.0ms	x	@	inf	(log (+ (sqrt (+ (* x x) 1)) x))
0.0ms	x	@	inf	(+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1)
0.0ms	x	@	0	(log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)))
0.0ms	x	@	inf	(+ (* (* x (* x x)) -1/6) x)

rewrite416.0ms (4.1%)

Memory

17.9MiB live, 855.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 470×	`accelerator-lowering-fma.f32`
5 470×	`accelerator-lowering-fma.f64`
4 118×	`/-lowering-/.f32`
4 118×	`/-lowering-/.f64`
3 334×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
1	166	115
2	1397	107
0	8760	95

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 715

Calls

Call 1

Inputs
(+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1)
(+ (* x (* x 3/40)) -1/6)
(* x (+ (* (* x x) (+ (* x (* x 3/40)) -1/6)) 1))
(* x x)
(+ (* (* x (* x x)) -1/6) x)
(* x (* x x))
(log (/ -1/2 x))
(/ -1/2 x)
(log (+ (sqrt (+ (* x x) 1)) x))
(+ (sqrt (+ (* x x) 1)) x)
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(+ (* x x) (- 1 (* x x)))
(log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x)))
(/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) x))
(- 1 (* x x))
(* x 3/40)

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

simplify436.0ms (4.3%)

Memory

17.5MiB live, 1 049.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 694×	`accelerator-lowering-fma.f32`
13 694×	`accelerator-lowering-fma.f64`
3 856×	`-lowering-.f32`
3 856×	`-lowering-.f64`
3 012×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1509
1	445	1440
2	1194	1437
3	3720	1399
0	8869	1316

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* 3/40 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* 3/40 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
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(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
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(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.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 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))

eval138.0ms (1.4%)

Memory: 10.0MiB live, 393.0MiB allocated
Compiler: Compiled 29 393 to 2 400 computations (91.8% saved)

prune116.0ms (1.1%)

Memory

-38.6MiB live, 338.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 066	3	1 069
Fresh	1	0	1
Picked	2	3	5
Done	2	2	4
Total	1 071	8	1 079

Accuracy

100.0%

Counts

1 079 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
✓	53.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
▶	4.7%	(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
▶	17.6%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
▶	26.1%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	14.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	22.8%	(log.f64 (+.f64 x x))
✓	54.2%	x

Compiler

Compiled 67 to 43 computations (35.8% saved)

simplify49.0ms (0.5%)

Memory

25.8MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 (.f64 x x) #s(literal 3/40 binary64))
✓	cost-diff	-64	(.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
✓	cost-diff	-64	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
✓	cost-diff	-64	(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
✓	cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓	cost-diff	0	(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	cost-diff	-64	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	-64	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(log.f64 (*.f64 x #s(literal -2 binary64)))

Rules

624×	`accelerator-lowering-fma.f32`
624×	`accelerator-lowering-fma.f64`
568×	`-lowering-.f32`
568×	`-lowering-.f64`
300×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	38	85
2	69	85
3	94	81
4	109	79
5	133	79
6	169	79
7	232	79
8	325	79
9	385	79
10	811	79
11	1082	79
12	1165	79
13	1186	79
14	1192	79
15	1192	79
16	1200	79
0	1200	74

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (log (* x -2)))
(log (* x -2))
(* x -2)
x
-2
(neg (log (- (sqrt (+ (* x x) 1)) x)))
(log (- (sqrt (+ (* x x) 1)) x))
(- (sqrt (+ (* x x) 1)) x)
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
x
1
(* x (* x (* x (* (* x x) 3/40))))
x
(* x (* x (* (* x x) 3/40)))
(* x (* (* x x) 3/40))
(* (* x x) 3/40)
(* x x)
3/40

Outputs
(neg (log (* x -2)))
(-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(log (* x -2))
(log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(* x -2)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
x
-2
#s(literal -2 binary64)
(neg (log (- (sqrt (+ (* x x) 1)) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log (- (sqrt (+ (* x x) 1)) x))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(- (sqrt (+ (* x x) 1)) x)
(-.f64 (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
1
#s(literal 1 binary64)
(* x (* x (* x (* (* x x) 3/40))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3/40 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x (* x (* (* x x) 3/40)))
(fma.f64 x (fma.f64 #s(literal 3/40 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* (* x x) 3/40))
(fma.f64 #s(literal 3/40 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* x x) 3/40)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/40 binary64) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
3/40
#s(literal 3/40 binary64)

localize79.0ms (0.8%)

Memory

-13.0MiB live, 224.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 3/40 binary64))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	accuracy	87.7%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	73.9%	(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	accuracy	100.0%	(log.f64 (*.f64 x #s(literal -2 binary64)))

Samples

20.0ms	117×	0	invalid
13.0ms	47×	1	valid
11.0ms	23×	2	valid
11.0ms	69×	0	valid

Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-log: 14.0ms (34% of total)

ival-mult: 12.0ms (29.1% of total)

const: 5.0ms (12.1% of total)

ival-sqrt: 3.0ms (7.3% of total)

ival-sub: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

ival-neg: 2.0ms (4.9% of total)

adjust: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

14.6MiB live, 93.1MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (log (* x -2))>
#<alt (neg (log (* x -2)))>
#<alt (* x -2)>
#<alt (log (- (sqrt (+ (* x x) 1)) x))>
#<alt (- (sqrt (+ (* x x) 1)) x)>
#<alt (sqrt (+ (* x x) 1))>
#<alt (+ (* x x) 1)>
#<alt (* x (* x (* x (* (* x x) 3/40))))>
#<alt (* x (* x (* (* x x) 3/40)))>
#<alt (* x (* (* x x) 3/40))>
#<alt (* (* x x) 3/40)>
#<alt (neg (log (- (sqrt (+ (* x x) 1)) x)))>

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

Calls

36 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(log (* x -2))
8.0ms	x	@	-inf	(log (* x -2))
7.0ms	x	@	0	(log (* x -2))
1.0ms	x	@	0	(* x (* x (* x (* (* x x) 3/40))))
0.0ms	x	@	0	(log (- (sqrt (+ (* x x) 1)) x))

rewrite326.0ms (3.2%)

Memory

-19.4MiB live, 577.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 594×	`accelerator-lowering-fma.f32`
4 594×	`accelerator-lowering-fma.f64`
3 132×	`-lowering-.f32`
3 132×	`-lowering-.f64`
1 918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	73	71
2	416	69
3	4332	69
0	8266	64

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 520

Calls

Call 1

Inputs
(log (* x -2))
(neg (log (* x -2)))
(* x -2)
(log (- (sqrt (+ (* x x) 1)) x))
(- (sqrt (+ (* x x) 1)) x)
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(* x (* x (* x (* (* x x) 3/40))))
(* x (* x (* (* x x) 3/40)))
(* x (* (* x x) 3/40))
(* (* x x) 3/40)
(neg (log (- (sqrt (+ (* x x) 1)) x)))

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

simplify748.0ms (7.3%)

Memory

20.6MiB live, 424.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 760×	`accelerator-lowering-fma.f32`
8 760×	`accelerator-lowering-fma.f64`
3 178×	`--lowering--.f32`
3 178×	`--lowering--.f64`
3 044×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1100
1	468	1069
2	1249	1055
3	4048	1030
4	7553	1030
0	8086	997

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
(+ (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)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(* -1 (+ (log -2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64)))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/6 (pow x 2)) 1))
(.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 5/112 binary64) #s(literal -3/40 binary64))) #s(literal 1/6 binary64)) #s(literal -1 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 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)) (log.f64 x)) (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) (+.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)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 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)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
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 x (.f64 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))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) 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) x) x) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
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))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 x (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x x))))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 3))
(.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x x)))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (log.f64 x) (-.f64 (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 #s(literal 1/2 binary64)))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+.f64 (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))

eval152.0ms (1.5%)

Memory: -12.9MiB live, 98.2MiB allocated
Compiler: Compiled 15 796 to 2 252 computations (85.7% saved)

prune141.0ms (1.4%)

Memory

22.6MiB live, 106.8MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	662	2	664
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	662	10	672

Accuracy

100.0%

Counts

672 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
✓	53.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	4.7%	(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
	27.0%	(neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
✓	17.6%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
	12.1%	(neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)))
✓	26.1%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	14.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	22.8%	(log.f64 (+.f64 x x))
✓	54.2%	x

Compiler

Compiled 233 to 119 computations (48.9% saved)

regimes47.0ms (0.5%)

Memory

-21.6MiB live, 17.1MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
x
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))

Outputs

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

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

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

Calls

3 calls:

35.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
5.0ms	x
5.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.7%	3	`x`
86.7%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
86.7%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

(neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)))

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
82.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total -32.5b remaining (-111%)

Threshold costs -32.5b (-111%)

Counts

5 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
54.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch50.0ms (0.5%)

Memory

-13.7MiB live, 24.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.0024626075333988298	1978027666.8766775
13.0ms	-1.770014440410073	-3.114775286124255e-7

Samples

37.0ms

304×

valid

Compiler

Compiled 448 to 311 computations (30.6% saved)

Precisions

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

ival-hypot: 5.0ms (48.9% of total)

ival-log: 3.0ms (29.4% of total)

ival-add: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0024626075333988298	1978027666.8766775
13.0ms	-1.770014440410073	-3.114775286124255e-7

Samples

16.0ms

304×

valid

Compiler

Compiled 421 to 293 computations (30.4% saved)

Precisions

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

ival-hypot: 5.0ms (48.2% of total)

ival-log: 4.0ms (38.6% of total)

ival-add: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Memory

-13.4MiB live, 24.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0024626075333988298	1978027666.8766775
30.0ms	-1.770014440410073	-3.114775286124255e-7

Samples

34.0ms

304×

valid

Compiler

Compiled 421 to 293 computations (30.4% saved)

Precisions

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

ival-hypot: 5.0ms (48.5% of total)

ival-log: 3.0ms (29.1% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0024626075333988298	1978027666.8766775

Samples

8.0ms

160×

valid

Compiler

Compiled 103 to 69 computations (33% saved)

Precisions

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

ival-hypot: 3.0ms (57% of total)

ival-log: 2.0ms (38% of total)

ival-add: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.2%)

Memory

-30.4MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
10×	`+-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	38	103
1	53	103
2	62	103
3	67	103
4	68	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

soundness674.0ms (6.6%)

Memory

26.5MiB live, 455.7MiB allocated

Rules

11 038×	`accelerator-lowering-fma.f32`
11 038×	`accelerator-lowering-fma.f64`
8 760×	`accelerator-lowering-fma.f32`
8 760×	`accelerator-lowering-fma.f64`
6 062×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1100
1	468	1069
2	1249	1055
3	4048	1030
4	7553	1030
0	8086	997
0	26	117
1	166	115
2	1397	107
0	8760	95
0	7	31
1	39	31
2	292	31
3	3147	31
0	8731	27
0	125	525
1	353	517
2	931	509
3	2909	479
4	7021	479
0	8073	448

Stop Event

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

Compiler

Compiled 219 to 115 computations (47.5% saved)

preprocess63.0ms (0.6%)

Memory: 15.6MiB live, 132.9MiB allocated
Compiler: Compiled 284 to 120 computations (57.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze61.0ms (0.6%)

sample2.2s (21.6%)

preprocess44.0ms (0.4%)

explain378.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.4%)

localize115.0ms (1.1%)

series5.0ms (0%)

rewrite572.0ms (5.6%)

simplify459.0ms (4.5%)

eval60.0ms (0.6%)

prune128.0ms (1.3%)

simplify273.0ms (2.7%)

localize64.0ms (0.6%)

series159.0ms (1.6%)

rewrite203.0ms (2%)

simplify472.0ms (4.6%)

eval78.0ms (0.8%)

prune128.0ms (1.3%)

simplify764.0ms (7.5%)

localize407.0ms (4%)

series15.0ms (0.1%)

rewrite416.0ms (4.1%)

simplify436.0ms (4.3%)

eval138.0ms (1.4%)

prune116.0ms (1.1%)

simplify49.0ms (0.5%)

localize79.0ms (0.8%)

series28.0ms (0.3%)

rewrite326.0ms (3.2%)

simplify748.0ms (7.3%)

eval152.0ms (1.5%)

prune141.0ms (1.4%)

regimes47.0ms (0.5%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch50.0ms (0.5%)

bsearch29.0ms (0.3%)

bsearch46.0ms (0.5%)

bsearch15.0ms (0.1%)

simplify25.0ms (0.2%)

soundness674.0ms (6.6%)

preprocess63.0ms (0.6%)

end0.0ms (0%)

Profiling