Metrics for Hyperbolic arcsine

analyze67.0ms (0.6%)

Memory

25.2MiB live, 139.1MiB 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)

sample2.1s (20.1%)

Memory

26.0MiB live, 2 890.5MiB allocated

Samples

807.0ms	4 428×	1	valid
796.0ms	1 639×	2	valid
131.0ms	2 189×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 838.0ms (56.8% of total)

ival-hypot: 416.0ms (28.2% of total)

adjust: 101.0ms (6.9% of total)

ival-add: 98.0ms (6.6% of total)

exact: 11.0ms (0.7% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

preprocess61.0ms (0.6%)

Memory

-23.6MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

explain288.0ms (2.8%)

Memory

6.3MiB live, 215.4MiB 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)))))`
57	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
55	-	-	`(+.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	57	0
↳	`(*.f64 x x)`	overflow	57
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	57
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	55	0

Confusion

	Predicted +	Predicted -
+	220	0
-	0	36

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	220	0	0
-	0	0	36

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	36
1	195
2	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

117.0ms	264×	1	valid
59.0ms	106×	2	valid
11.0ms	142×	0	valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-hypot: 50.0ms (43% of total)

ival-log: 43.0ms (37% of total)

ival-add: 10.0ms (8.6% of total)

adjust: 8.0ms (6.9% of total)

ival-mult: 5.0ms (4.3% of total)

exact: 1.0ms (0.9% of total)

ival-true: 1.0ms (0.9% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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)

localize100.0ms (1%)

Memory

5.6MiB live, 86.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	79.9%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	79.3%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	51.5%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

59.0ms	132×	1	valid
24.0ms	53×	2	valid
5.0ms	71×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-hypot: 45.0ms (57.7% of total)

ival-log: 21.0ms (26.9% of total)

ival-add: 5.0ms (6.4% of total)

adjust: 4.0ms (5.1% of total)

ival-mult: 2.0ms (2.6% of total)

exact: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

-32.0MiB live, 6.3MiB 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
5.0ms	x	@	-inf	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	0	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (+ (* x x) 1))))
0.0ms	x	@	inf	(+ (* x x) 1)
0.0ms	x	@	0	(+ (* x x) 1)

rewrite714.0ms (6.9%)

Memory

22.6MiB live, 424.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 363

Calls

Call 1

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

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

simplify577.0ms (5.6%)

Memory

5.1MiB live, 512.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval64.0ms (0.6%)

Memory: -2.4MiB live, 134.1MiB allocated
Compiler: Compiled 11 953 to 1 637 computations (86.3% saved)

prune55.0ms (0.5%)

Memory

-24.8MiB live, 135.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	414	9	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	415	9	424

Accuracy

100.0%

Counts

424 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
▶	52.3%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
▶	28.0%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
	4.3%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
▶	22.4%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	21.9%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	18.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶	27.2%	(log.f64 (+.f64 x x))
▶	54.4%	x

Compiler

Compiled 162 to 100 computations (38.3% saved)

simplify7.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

74×	`-lowering-.f32`
74×	`-lowering-.f64`
52×	`accelerator-lowering-fma.f32`
52×	`accelerator-lowering-fma.f64`
26×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	33	84
2	44	82
3	50	82
4	54	82
5	60	82
6	60	82
7	96	82
8	96	82
0	96	79

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize64.0ms (0.6%)

Memory

23.8MiB live, 139.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	81.5%	(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%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(*.f64 x #s(literal -1/6 binary64))

Samples

29.0ms	185×	0	invalid
12.0ms	71×	0	valid

Compiler

Compiled 83 to 22 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 8.0ms (27.9% of total)

ival-mult: 6.0ms (20.9% of total)

ival-div: 5.0ms (17.5% of total)

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

const: 4.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.6%)

Memory

-15.8MiB live, 141.9MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log (+ x x))
21.0ms	x	@	-inf	(log (+ x x))
9.0ms	x	@	inf	(log (+ x x))
1.0ms	x	@	0	(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
1.0ms	x	@	inf	(log (/ (+ -1/2 (/ 1/8 (* x x))) x))

rewrite90.0ms (0.9%)

Memory

3.1MiB live, 162.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

512×	`accelerator-lowering-fma.f32`
512×	`accelerator-lowering-fma.f64`
464×	`-lowering-.f32`
464×	`-lowering-.f64`
410×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	101	61
0	1117	57

Stop Event

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

Counts

12 → 659

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) (neg.f64 x))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x x)
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (neg.f64 x)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (.f64 x (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (.f64 x (neg.f64 x))) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (.f64 x (neg.f64 x)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(log.f64 (+.f64 x x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.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 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 x x)
(+.f64 x (+.f64 x (+.f64 x x)))
(+.f64 x (-.f64 x (+.f64 x x)))
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (+.f64 x x) (neg.f64 (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x)))
(+.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(+.f64 (+.f64 (+.f64 x x) x) x)
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (+.f64 x x) (+.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 2 binary64) (+.f64 x x))
(fma.f64 x #s(literal 2 binary64) (neg.f64 (+.f64 x x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x x)) (+.f64 x x))
(fma.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x x)) (neg.f64 (+.f64 x x)))
(fma.f64 x (.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 x (.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (+.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (neg.f64 (+.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) x (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x)) (+.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x)) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x)) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) x))
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 x x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (+.f64 x x))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (+.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (neg.f64 (+.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 x x))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (+.f64 x x)))
(fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (+.f64 x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (+.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (neg.f64 (+.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (+.f64 x x))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64) (+.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64) (neg.f64 (+.f64 x x)))
(fma.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (+.f64 x x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (neg.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (neg.f64 (+.f64 x x)))
(fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (+.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 x x)))
(fma.f64 (.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (.f64 (+.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x (+.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x (neg.f64 (+.f64 x x)))
(fma.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x (.f64 (neg.f64 (+.f64 x x)) (+.f64 x x)))
(fma.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x x) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (+.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x x) (neg.f64 x)))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 x) (neg.f64 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 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) #s(literal 1 binary64)))
(/.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 #s(literal -1 binary64) (neg.f64 (+.f64 x x)))
(/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) x (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (neg.f64 x) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
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simplify382.0ms (3.7%)

Memory

10.2MiB live, 532.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 216×	`accelerator-lowering-fma.f32`
9 216×	`accelerator-lowering-fma.f64`
2 956×	`+-lowering-+.f64`
2 956×	`+-lowering-+.f32`
2 668×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1020
1	353	976
2	892	976
3	2610	964
4	6147	964
0	8040	924

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval175.0ms (1.7%)

Memory: -12.0MiB live, 182.6MiB allocated
Compiler: Compiled 10 415 to 1 235 computations (88.1% saved)

prune153.0ms (1.5%)

Memory

-7.1MiB live, 155.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	819	0	819
Fresh	0	4	4
Picked	0	5	5
Done	0	0	0
Total	819	9	828

Accuracy

100.0%

Counts

828 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
✓	52.3%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
✓	28.0%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
▶	4.3%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓	22.4%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	21.9%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	18.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	27.2%	(log.f64 (+.f64 x x))
✓	54.4%	x

Compiler

Compiled 81 to 50 computations (38.3% saved)

simplify993.0ms (9.6%)

Memory

22.2MiB live, 503.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 3/40 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
✓	cost-diff	576	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓	cost-diff	896	(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(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))

Rules

27 580×	`accelerator-lowering-fma.f32`
27 580×	`accelerator-lowering-fma.f64`
3 058×	`-lowering-.f32`
3 058×	`-lowering-.f64`
2 230×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	141
1	46	117
2	97	117
3	206	117
4	340	116
5	670	116
6	1286	116
7	4580	116
0	8168	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize187.0ms (1.8%)

Memory

-25.3MiB live, 91.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	100.0%	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	79.3%	(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	77.1%	(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓	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%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	79.9%	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓	accuracy	77.1%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))

Samples

46.0ms	139×	0	invalid
37.0ms	90×	1	valid
24.0ms	26×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 27.0ms (30.5% of total)

ival-log: 25.0ms (28.2% of total)

ival-mult: 10.0ms (11.3% of total)

const: 8.0ms (9% of total)

adjust: 6.0ms (6.8% of total)

ival-div: 5.0ms (5.6% of total)

ival-sub: 4.0ms (4.5% of total)

ival-sqrt: 3.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series105.0ms (1%)

Memory

0.8MiB live, 36.7MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
51.0ms	x	@	inf	(- (* x x) (+ (* x x) 1))
29.0ms	x	@	-inf	(log (/ -1/2 x))
13.0ms	x	@	0	(log (/ -1/2 x))
6.0ms	x	@	inf	(log (/ -1/2 x))
0.0ms	x	@	-inf	(+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)

rewrite750.0ms (7.3%)

Memory

-91.9MiB live, 311.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 012×	`accelerator-lowering-fma.f32`
8 012×	`accelerator-lowering-fma.f64`
3 954×	`-lowering-.f32`
3 954×	`-lowering-.f64`
3 796×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	134	90
2	1164	90
0	8463	80

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 766

Calls

Call 1

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

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

simplify400.0ms (3.9%)

Memory

-11.6MiB live, 342.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 162×	`accelerator-lowering-fma.f32`
9 162×	`accelerator-lowering-fma.f64`
3 150×	`--lowering--.f32`
3 150×	`--lowering--.f64`
2 728×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1363
1	484	1321
2	1304	1311
3	3966	1271
4	7503	1271
0	8144	1204

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval318.0ms (3.1%)

Memory: 6.8MiB live, 272.6MiB allocated
Compiler: Compiled 36 104 to 2 750 computations (92.4% saved)

prune225.0ms (2.2%)

Memory

4.9MiB live, 214.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 182	2	1 184
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	1 185	8	1 193

Accuracy

100.0%

Counts

1 193 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.6%	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
✓	52.3%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
▶	16.1%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
▶	21.9%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	28.0%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	18.6%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓	27.2%	(log.f64 (+.f64 x x))
✓	54.4%	x

Compiler

Compiled 63 to 41 computations (34.9% saved)

simplify47.0ms (0.5%)

Memory

-14.2MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

184×	`accelerator-lowering-fma.f32`
184×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
80×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	23	54
2	30	54
3	39	54
4	51	54
5	72	54
6	108	54
7	140	54
8	188	54
9	214	54
10	272	54
11	299	54
12	313	54
13	334	54
14	340	54
0	340	49

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

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

localize75.0ms (0.7%)

Memory

8.3MiB live, 87.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓	accuracy	90.9%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	77.1%	(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

13.0ms	139×	0	invalid
11.0ms	26×	2	valid
8.0ms	36×	1	valid
5.0ms	55×	0	valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 13.0ms (47.8% of total)

ival-mult: 4.0ms (14.7% of total)

adjust: 2.0ms (7.4% of total)

ival-sub: 2.0ms (7.4% of total)

ival-sqrt: 2.0ms (7.4% of total)

ival-add: 2.0ms (7.4% of total)

ival-neg: 2.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.2%)

Memory

12.3MiB live, 50.8MiB allocated

Counts

7 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(neg (log (* x -2)))
7.0ms	x	@	-inf	(neg (log (* x -2)))
7.0ms	x	@	0	(neg (log (* x -2)))
0.0ms	x	@	0	(neg (log (- (sqrt (+ (* x x) 1)) x)))
0.0ms	x	@	inf	(neg (log (- (sqrt (+ (* x x) 1)) x)))

rewrite415.0ms (4%)

Memory

-21.8MiB live, 453.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 766×	`accelerator-lowering-fma.f32`
4 766×	`accelerator-lowering-fma.f64`
3 404×	`-lowering-.f32`
3 404×	`-lowering-.f64`
1 918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	58	44
2	384	44
3	4258	44
0	8706	40

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 354

Calls

Call 1

Inputs
(neg (log (* x -2)))
(log (* 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))

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

simplify330.0ms (3.2%)

Memory

43.0MiB live, 704.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 514×	`accelerator-lowering-fma.f32`
12 514×	`accelerator-lowering-fma.f64`
3 496×	`--lowering--.f32`
3 496×	`--lowering--.f64`
3 268×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	808
1	444	783
2	1214	763
3	3942	738
4	7446	732
0	8171	707

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval54.0ms (0.5%)

Memory: 2.1MiB live, 118.7MiB allocated
Compiler: Compiled 11 118 to 1 394 computations (87.5% saved)

prune55.0ms (0.5%)

Memory

3.2MiB live, 125.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	436	2	438
Fresh	0	0	0
Picked	0	2	2
Done	1	5	6
Total	437	9	446

Accuracy

100.0%

Counts

446 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.6%	(fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
✓	52.3%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
	22.7%	(neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
✓	16.1%	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
	10.0%	(neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)))
✓	21.9%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	28.0%	(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	27.2%	(log.f64 (+.f64 x x))
✓	54.4%	x

Compiler

Compiled 178 to 98 computations (44.9% saved)

regimes18.0ms (0.2%)

Memory

-10.7MiB live, 27.1MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
5.0ms	x
4.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
90.2%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
90.2%	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

8.4MiB live, 8.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory

-22.5MiB live, 15.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

3 calls:

6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
2.0ms	x
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
82.0%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
82.0%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
85.2%	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.1%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
79.1%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
79.5%	2	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -1.4b remaining (-4.8%)

Threshold costs -1.4b (-4.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.4%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
54.4%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
54.4%	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch241.0ms (2.3%)

Memory

-34.1MiB live, 49.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0007350785172026328	13741002.68291153
149.0ms	-791.5704364853525	-4.1976162671723654e-20

Samples

18.0ms

336×

valid

Compiler

Compiled 528 to 356 computations (32.6% saved)

Precisions

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

ival-hypot: 6.0ms (52.1% of total)

ival-log: 4.0ms (34.8% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch83.0ms (0.8%)

Memory

26.8MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
65.0ms	0.0007350785172026328	13741002.68291153
15.0ms	-791.5704364853525	-4.1976162671723654e-20

Samples

69.0ms

336×

valid

Compiler

Compiled 495 to 334 computations (32.5% saved)

Precisions

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

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

ival-log: 4.0ms (34.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Memory

16.8MiB live, 52.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0007350785172026328	13741002.68291153
17.0ms	-791.5704364853525	-4.1976162671723654e-20

Samples

19.0ms

336×

valid

Compiler

Compiled 465 to 304 computations (34.6% saved)

Precisions

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

ival-hypot: 6.0ms (51.1% of total)

ival-log: 4.0ms (34.1% of total)

ival-add: 2.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

bsearch42.0ms (0.4%)

Memory

-72.9MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0007350785172026328	13741002.68291153
17.0ms	-791.5704364853525	-4.1976162671723654e-20

Samples

20.0ms

336×

valid

Compiler

Compiled 465 to 304 computations (34.6% saved)

Precisions

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

ival-log: 5.0ms (38.1% of total)

ival-hypot: 5.0ms (38.1% of total)

ival-add: 2.0ms (15.3% 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

9.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0007350785172026328	13741002.68291153

Samples

9.0ms

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 (55.7% of total)

ival-log: 2.0ms (37.2% of total)

ival-add: 1.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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	47	139
1	62	139
2	71	139
3	76	139
4	77	139

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2296835809958953/2251799813685248 binary64)) (neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 2296835809958953/2251799813685248 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 2296835809958953/2251799813685248 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -3422735716801577/2251799813685248 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x #s(literal -2296835809958953/2251799813685248 binary64)) (neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 2296835809958953/2251799813685248 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (.f64 x #s(literal -2 binary64)))) (if (<=.f64 x #s(literal 2296835809958953/2251799813685248 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -3422735716801577/2251799813685248 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

soundness849.0ms (8.2%)

Memory

-2.7MiB live, 634.9MiB allocated

Rules

12 514×	`accelerator-lowering-fma.f32`
12 514×	`accelerator-lowering-fma.f64`
11 038×	`accelerator-lowering-fma.f32`
11 038×	`accelerator-lowering-fma.f64`
8 012×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	134	90
2	1164	90
0	8463	80
0	7	31
1	39	31
2	292	31
3	3147	31
0	8731	27
0	154	808
1	444	783
2	1214	763
3	3942	738
4	7446	732
0	8171	707
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 288 to 146 computations (49.3% saved)

preprocess54.0ms (0.5%)

Memory: 14.8MiB live, 127.3MiB allocated
Compiler: Compiled 350 to 136 computations (61.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	54
1	23	54
2	30	54
3	39	54
4	51	54
5	72	54
6	108	54
7	140	54
8	188	54
9	214	54
10	272	54
11	299	54
12	313	54
13	334	54
14	340	54
0	340	49

Iter	Nodes	Cost
0	12	54
1	23	54
2	30	54
3	39	54
4	51	54
5	72	54
6	108	54
7	140	54
8	188	54
9	214	54
10	272	54
11	299	54
12	313	54
13	334	54
14	340	54
0	340	49

analyze67.0ms (0.6%)

sample2.1s (20.1%)

preprocess61.0ms (0.6%)

explain288.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize100.0ms (1%)

series9.0ms (0.1%)

rewrite714.0ms (6.9%)

simplify577.0ms (5.6%)

eval64.0ms (0.6%)

prune55.0ms (0.5%)

simplify7.0ms (0.1%)

localize64.0ms (0.6%)

series65.0ms (0.6%)

rewrite90.0ms (0.9%)

simplify382.0ms (3.7%)

eval175.0ms (1.7%)

prune153.0ms (1.5%)

simplify993.0ms (9.6%)

localize187.0ms (1.8%)

series105.0ms (1%)

rewrite750.0ms (7.3%)

simplify400.0ms (3.9%)

eval318.0ms (3.1%)

prune225.0ms (2.2%)

simplify47.0ms (0.5%)

localize75.0ms (0.7%)

series25.0ms (0.2%)

rewrite415.0ms (4%)

simplify330.0ms (3.2%)

eval54.0ms (0.5%)

prune55.0ms (0.5%)

regimes18.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

bsearch241.0ms (2.3%)

bsearch83.0ms (0.8%)

bsearch34.0ms (0.3%)

bsearch42.0ms (0.4%)

bsearch15.0ms (0.1%)

simplify9.0ms (0.1%)

soundness849.0ms (8.2%)

preprocess54.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	54
1	23	54
2	30	54
3	39	54
4	51	54
5	72	54
6	108	54
7	140	54
8	188	54
9	214	54
10	272	54
11	299	54
12	313	54
13	334	54
14	340	54
0	340	49